Accepted Minisymposium

Last Update : 2023/08/03 09:36


[00023] Recent advances on application driven nonlinear optimization

  • Abstract : This minisymposium focuses on the new optimization techniques for application problems. Different application scenarios like machine learning and signal processing will be referred.
  • Organizer(s) : Cong Sun
  • read more about [00023]

[00024] Geometric methods in machine learning and data analysis

  • Abstract : Geometry plays a paramount role in many aspects of data analysis and machine learning: Graphs on high-dimensional datasets encode interactions between geometry and data; Geometries on the space of probability measures give rise to new optimization and sampling algorithms; Geometric deep learning translates deep learning to new domains; Adversarial regularization of neural networks corresponds to geometric regularization. In this minisymposium we gather junior and senior researchers who have been driving the research in the field, using geometric methods for both analysis and algorithms. We aim at sparking new collaborations in this vibrant field and offering a platform for scientific exchange.
  • Organizer(s) : Leon Bungert, Jeff Calder
  • read more about [00024]

[00027] Recent trends on crowd management

  • Abstract : Crowd management is an interdisciplinary field that has received much attention in recent year, and various scientific methods for reducing the risk of crowd avalanches and infections are being studied. In addition, encouraging decentralized behavior not only enhances safety, but also improves services from marketing viewpoints. Latest research results on sensing, simulation and guidance of crowds, which are all very important in crowd management, will be discussed by applied mathematicians from different backgrounds.
  • Organizer(s) : Katsuhito Nishinari, Claudio Feliciani, Kensuke Yasufuku ,Tetsuya Aiko
  • read more about [00027]

[00029] New Trends in Structural and Engineering Optimization

  • Abstract : Over a wide range of modern engineering design, numerical optimization plays crucial roles in diverse decision-making processes. This minisymposium aims to bring together recent advances in various aspects of structural and engineering optimization. The topics of interest include, but are not limited to
    – new advances in structural optimization methods,
    – surrogate modeling and digital twins for engineering optimization,
    – multi-scale and microstructral topology optimization,
    – machine learning and data-driven approaches to optimization.
  • Organizer(s) : Yoshihiro Kanno, Satoshi Kitayama, Akihiro Takezawa
  • read more about [00029]

[00033] Recent Advances on Quantitative Finance

  • Abstract : The mini-symposium we propose aims to feature the latest developments and promote research in the field of quantitative finance. The mini-symposium will enhance interaction and cooperation among researchers worldwide working on some specific topics in the field. In particular, we will focus on, but are not limited to, the following three topics:
    • stochastic control in quantitative finance,
    • dynamic game and mean-field game in quantitative finance, and
    • machine learning and reinforcement learning in quantitative finance.
    Consequently, we plan to have three sessions on the above three topics, respectively
  • Organizer(s) : Min Dai, Zuoquan Xu, Chao Zhou
  • Sponsor : This session is sponsored by the SIAM Activity Group on Financial Mathematics and Engineering.
  • read more about [00033]

[00036] Different perspectives in non-linear and non-local PDEs

  • Abstract : The aim of this minisymposium is to gather researchers involved in the mathematical analysis of non-linear and non-local partial differential equations (PDEs), with emphasis on those modelling aggregation and/or diffusion phenomena. These PDEs are relevant in applications to physics, biology, population dynamics, data science, etc. The spectrum of possible mathematical approaches involves techniques from functional analysis, optimal transport theory, variational methods, etc. It is at the core of our minisymposium to touch upon recent advances in the study of aggregation-diffusion PDEs obtained, e.g., using generalised gradient flows, incompressible limits, particle approximations, numerical methods, symmetrisation and rearrangements, and Fourier analysis.
  • Organizer(s) : Antonio Esposito, David Gómez-Castro
  • read more about [00036]

[00037] Recent advances in modelling and simulation of interfacial flows

  • Abstract : ​​Interfacial flows arise in numerous natural and technological applications spanning a wide range of length scales from lab-on-a-chip systems to planetary-scale flows. From a purely scientific perspective, these flows pose fundamental theoretical, computational, and experimental challenges to explain complex phenomena including the formation of coherent structures and wave-breaking, as well as phase and topological transitions. Advances in understanding have opened the way for new schemes that allow for precision optimisation and control. This minisymposium will bring together an array of cross-disciplinary specialists, working at the cutting edge of the field, to share their expertise and to exchange ideas.
  • Organizer(s) : Mark Blyth, Anna Kalogirou, Alexander Wray
  • read more about [00037]

[00038] Frontiers of gradient flows: well-posedness, asymptotics, singular limits

  • Abstract : Gradient flows, a type of dynamics where systems follow steepest descent paths of various functionals, are ubiquitous in many areas of science and technology. Their mathematical understanding is still developing. Ideas like evolutionary variational inequalities, notions of slope, or very weak definitions originating from dynamical systems allow for far-reaching generalizations. Nonetheless, obstacles such as lack of convexity, non-trivial weights, or complicated geometric settings still cause difficulties. We would like to gather experts within the broad limits we stated, dealing with well-posedness and properties of gradient flows in non-classical cases, as well as singular limits or asymptotics.
  • Organizer(s) : Yoshikazu Giga, Michal Lasica, Piotr Rybka
  • read more about [00038]

[00047] Combining Machine Learning and Stochastic Methods for Modeling and Forecasting Complex Systems

  • Abstract : Complex Systems are ubiquitous in different areas. Recent development of advanced machine learning tools and new stochastic modeling strategies introduce new insights and approaches of advancing the study of complex systems. This minisymposium aims at combining data-driven and physics-based methods to improve the current understanding, modeling and forecasting methods of various complex systems containing different features. Topics of this minisymposium include, but are not limited to, physics-driven machine learning techniques, efficient stochastic multiscale modeling approaches, data assimilation, uncertainty quantification, inverse problems, statistical control, surrogate and reduced order models as well as efficient forecast algorithms.
  • Organizer(s) : Nan Chen, Di Qi
  • read more about [00047]

[00048] Interfaces between kinetic equations and many-agent social systems. Part I

  • Abstract : In recent years, kinetic-type models emerged to be a powerful mathematical framework for the description of emerging patterns in systems composed by a large number of agents. Furthermore, the natural multiscale nature of these equations, linking microscopic unobservable social forces to macroscopic measurable patterns, permits an efficient investigation of collective phenomena in a heterogeneity of disciplines, like biology, social sciences and robotics. In this minisymposium we collect novel perspectives from experts actively working on these research problems.
  • Organizer(s) : Giacomo Dimarco, Young-Pil Choi
  • read more about [00048]

[00049] Interfaces between kinetic equations and many-agent social systems. Part II

  • Abstract : In recent years, kinetic-type models emerged to be a powerful mathematical framework for the description of emerging patterns in systems composed by a large number of agents. Furthermore, the natural multiscale nature of these equations, linking microscopic unobservable social forces to macroscopic measurable patterns, permits an efficient investigation of collective phenomena in a heterogeneity of disciplines, like biology, social sciences and robotics. In this minisymposium we collect novel perspectives from experts actively working on these research problems.
  • Organizer(s) : Giacomo Dimarco, Young-Pil Choi, Mattia Zanella
  • read more about [00049]

[00052] Efficient numerical methods for high-dimensional PDEs

  • Abstract : Many problems in science and engineering are described by high-dimensional PDEs. Over the years, different numerical techniques have been developed for these problems, including low rank method, sparse grid, tensor method, reduced order modeling, machine learning, optimization, and quantum algorithms, to name a few. In this minisymposium, we bring researchers from a wide spectrum of application areas, such as plasma physics, quantum dynamics, biology, etc. to address the common theme of solving high-dimensional PDEs and exchange ideas.
  • Organizer(s) : Lukas Einkemmer, Jingwei Hu
  • read more about [00052]

[00057] Many-agent systems and mean-field models for socio-economic and life sciences dynamics

  • Abstract : Complex, real-life systems in sociology, economics, and life sciences often consist of a large number of individuals. Through interactions among these individuals a collective behaviour may emerge over time and certain patterns may develop. Examples include pedestrian, evacuation and traffic models, opinion formation, wealth distribution, chemotaxis and flocking/swarming. The aim of the mini-symposium is to highlight recent advances in modelling, analysis, numerics and optimal control of kinetic and PDE models in this area.
  • Organizer(s) : Marie-Therese Wolfram, Bertram Düring
  • read more about [00057]

[00059] Numerical solutions for differential equations: Probabilistic approaches and statistical perspectives

  • Abstract : Many applications involve predicting the dynamics of a system by solving differential equations. Due to the increased demand for predictive power of these models, numerically solving a differential equation is now often combined with parameter estimation or uncertainty quantification. This paradigm shift drives the need for probabilistic approaches that are compatible with statistical inference, or that improve the robustness of inference to possibly inaccurate mathematical models. The talks in this minisymposium will present recent work that addresses these challenges for deterministic ODEs and PDEs, by using ideas from numerical analysis, probability theory, and Bayesian statistical inference.
  • Organizer(s) : Han Cheng Lie, Takeru Matsuda, Yuto Miyatake
  • read more about [00059]

[00060] Mathematical approaches to collective phenomena

  • Abstract : The contributions of the mathematics to understanding of collective phenomena such as the fluid dynamics are certainly conspicuous. In particular, developments of the numerical method to solve PDE, PDE analysis of the hydrodynamic equation or Boltzmann equation by applied mathematicians are quite significant in the industry. This minisymposium invites four eminent researchers, who study various types of collective phenomena such as the gas dynamics, biological swarming, electrically charged fluids and so on. Their presentations will indicate new insights and inspirations in the future applied mathematics.
  • Organizer(s) : Ryosuke Yano
  • read more about [00060]

[00061] Reaction-Diffusion models in Ecology and Evolution

  • Abstract : Reaction-diffusion equations have been a powerful tool in studying population dynamics since the seminal works of Fisher, Kolmogorov-Petrovsky-Piskunov, Turing, and many others. In recent years many important questions from ecology, such as habitat fragmentation and shifting environment change, and life sciences, such as tumor growth, required new mathematical models and gave rise to challenging problems in analysis. This mini-symposium aims to showcase some recent development in the theory of reaction-diffusion equations and its applications to some emerging ecological and evolutionary questions.
  • Organizer(s) : King-Yeung Lam, Yuan Lou, Dongyuan Xiao, Maolin Zhou
  • read more about [00061]

[00062] Analysis and computation of vortical flows

  • Abstract : Vortex dynamics is a classical but ever active topic in the study of fluid flows. Despite huge efforts to understand vortex phenomena, many aspects are still not properly understood. In this minisymposium, Elling and Jeong are presenting mathematical and rigorous results of self-similar vortices. Xu will describe computations of elliptical vortices. Kim and Krishnamurthy will discuss point vortex dynamics and generalized geostrophic models. Nitsche and Sohn speak on computational issues for interfacial flows and application to swimming. Krasny will present computations of plasma vortices in the Vlasov-Poisson equation.
  • Organizer(s) : Sun-Chul Kim, Robert Krasny, Sung-Ik Sohn
  • read more about [00062]

[00063] Recent Advances on Nonlocal Interaction Models

  • Abstract : From biological swarming and n-body dynamics to self-assembly of nanoparticles, crystallization and
    granular media, many physical and biological systems are described by mathematical models involving nonlocal interactions. Mostly due to their purely nonlocal character, these models present mathematical challenges that require a combination of different techniques of applied mathematics. With this scientific session we aim to bring together young researchers and leading scholars who study nonlocal interaction models and their applications. In particular, we hope that by inviting applied and pure analysts we will create a platform that will lead to a more complete and reliable understanding of these models.
  • Organizer(s) : Razvan Fetecau, Ihsan Topaloglu
  • read more about [00063]

[00065] Recent Advances on Stochastic Hamiltonian Dynamical Systems

  • Abstract : The generalization of classical geometric mechanics $($ including the study of symmetries, Hamiltonian and Lagrangian mechanics, and the Hamilton-Jacobi theory, etc.$)$ to the context of stochastic dynamics has drawn more and more attention in recent decades. One of the important motivations behind some pieces of work related to this field is establishing a framework adapted to the handling of mechanical systems subjected to random perturbations or whose parameters are not precisely determined and are hence modeled as realizations of a random variable. This minisymposium will bring together speakers with diverse but related background, discussing recent developments on general topics of stochastic dynamical systems with Hamiltonian or other geometric structure.
  • Organizer(s) : Pingyuan Wei, Qiao Huang
  • read more about [00065]

[00068] Models for collective behavior and emergent phenomena

  • Abstract : Emergent structures are patterns arising via collective actions of many individual entities. In the context of life sciences, they range from the subatomic level to the entire anthropo- and biosphere. The main objective of this minisymposium is to bring together experts working in diverse areas of modeling of collective behavior and emergent phenomena, employing ordinary, stochastic, partial and functional differential equations. Applications include self-organizing systems of interacting agents, flocking and swarming, pedestrian dynamics, and network dynamics. The minisymposium will cover mathematical modeling, analytical and numerical results, focusing on applications and gaining new insights into the principles of emergence and self-organization.
  • Organizer(s) : Lisa Kreusser, Jan Haskovec
  • read more about [00068]

[00072] Evolution equations in materials science: Multiscale modeling, analysis, and simulation

  • Abstract : Materials science has become increasingly efficient and contributes with new products. The increased material functionality relies on good experimental grip on microstructure evolution. Mathematics plays a crucial role in using experimental understanding to shed light where experiments are inaccessible. Mathematical challenges are though unsolved. Elastic porous materials have many practical applications, however the mathematical treatment of elasticity equations for realistic media is underdeveloped as the small-strains-hypothesis needs to be adopted while the porosity of real materials (e. g. when biology is involved) disagrees. Our symposium focuses on the development of advanced mathematical methodologies applicable to materials having complex microstructures.
  • Organizer(s) : Toyohiko Aiki, Adrian Muntean
  • read more about [00072]

[00082] Development in fractional diffusion equations: models and methods

  • Abstract : The mathematical study of diffusion and its applications has played an important role in modern mathematics. The study of fractional diffusion has become a new trend as a mathematical framework to describe anomalous diffusion. Indeed, in the real world anomalous diffusion is common. We wish to present the
    last and novel techniques regarding modeling with FDE and its mathematical analysis. In particular we are interested in modeling with the help of FDE, the
    resulting IBV problems, including free boundary problems. We also pursue the study of the qualitative properties of solutions including self-similar and
    fundamental solutions.
  • Organizer(s) : Sabrina Roscani, Piotr Rybka
  • read more about [00082]

[00084] Asymptotic approaches to multi-scale PDEs in mathematical physics

  • Abstract : Nonlinear PDEs play an important role in modelling many important phenomena observed in physics. One of the main challenges is that the physical problem at hand usually manifests its properties on a hierarchy of scales: the behaviour of the system at the large scale can only be understood by accessing a number of finer scales. Discovering the numerous scales in the governing equations and describing the singularities which appear in asymptotic processes give rise to exciting and difficult research problems (e.g. singular limits in fluid mechanics, macroscopic closures of kinetic models, or incompressible limits for tissue growth models).
  • Organizer(s) : Tomasz Dębiec, Agnieszka Świerczewska-Gwiazda
  • read more about [00084]

[00085] Singular Problems in Mechanics

  • Abstract : The problem area addresses non-smooth problems stemming from mechanics and described by partial differential equations, inverse and ill-posed problems, non-smooth and nonconvex optimization, optimal control problems, multiscale analysis and homogenization, shape and topology optimization. We focus but are not limited to singularities like cracks, inclusions, aerofoils, defects and inhomogeneities arising in composite structures and multi-phase continua, which are governed by systems of variational equations and inequalities. The minisymposium objectives are directed toward sharing advances attained in the mathematical theory, numerical methods, and application of non-smooth problems.
  • Organizer(s) : Victor Kovtunenko, Hiromichi Itou, Alexander Khludnev, Evgeny Rudoy
  • read more about [00085]

[00086] Recent advances in the theory of rogue waves: stability and universality of wave pattern formation

  • Abstract : In the last decade, there have been some new developments in the study of rogue-waves of nonlinear integrable evolutionary equations, such as their long-time asymptotics, their stability, their universal patterns, and their onset mechanisms. This minisymposium aims to bring together a group of world-leading researchers to discuss the theoretical, computational, and experimental aspects of this type of extreme wave phenomena.
  • Organizer(s) : Bao-Feng Feng; Peter Miller
  • read more about [00086]

[00087] Intersection of Machine Learning, Dynamical Systems and Control

  • Abstract : In recent years, the intersection of machine learning, dynamical systems and control has created some new excitement in different disciplines. On the one hand, machine learning-based algorithms have opened up new opportunities in studying dynamical systems and control problems, particularly in high dimensions. On the other hand, the controlled dynamical system perspective of deep learning has also brought new insight in machine learning. This minisymposium will bring together experts in different areas to explore these new exciting opportunities. The goal is to stimulate researchers from different communities to think rigorously across disciplines and move toward new questions.
  • Organizer(s) : Jiequn Han, Qianxiao Li, Xiang Zhou
  • read more about [00087]

[00088] Machine learning in infinite dimensions

  • Abstract : Lifting high-dimensional problems to an infinite-dimensional space and designing algorithms in that setting has been a fruitful idea in many areas of applied mathematics, including inverse problems, optimisation, and partial differential equations. This approach is sometimes referred to as ”optimise-then-discretise” and allows one to develop algorithms that are inherently dimension- and discretisation-independent and typically perform better in high-dimensional problems. In the context of machine learning, this approach has gained significant attention in the context of operator learning. This workshop explores approaches that involve the approximation of functions with values in an infinite-dimensional space and their connections to partial differential equations.
  • Organizer(s) : Bamdad Hosseini, Yury Korolev, Jonas Latz
  • read more about [00088]

[00090] Recent advances in the theory of rogue waves: one- and multi-component models in 1+1 and 2+1 dimensions

  • Abstract : Recent advances in the theory of nonlinear waves have allowed a better understanding of the underlying mechanisms leading to the formation of space-time localised extreme waves, often referred in the literature as rogue waves, in systems modelled by nonlinear PDEs of integrable and non-integrable type. Many theoretical questions remain open as for a qualitative and quantitative description of the evolution of a localised or periodic perturbation on a given background. The aim of this minisymposium is to gather world-leading experts in the field to discuss the most recent results about the onset and recurrence of rogue waves in nonlinear media.
  • Organizer(s) : Prof Sara Lombardo (Heriot-Watt University, UK), Dr Matteo Sommacal (Northumbria University, UK)
  • read more about [00090]

[00107] Randomized numerical linear algebra

  • Abstract : Randomized numerical linear algebra (RNLA) is an emerging field of computational mathematics that has enabled matrix computations of unprecedented scale. Given the increasing size of data sets, RNLA is often the only way to reasonably perform computations. In addition to speed, RNLA provides solutions with exceptional accuracy and robustness. Success stories in RNLA include low-rank approximation, least-squares problems, and trace estimation. In addition, the field has witnessed recent progress in linear systems, eigenvalue problems, and tensor approximation. This minisymposium aims to bring together researchers working in RNLA to present recent progress, discuss challenges, and share ideas.
  • Organizer(s) : Ethan Epperly, Per-Gunnar Martinsson, Yuji Nakatsukasa, Robert Webber
  • Sponsor : This session is sponsored by the SIAM Activity Group on Computational Science and Engineering.
  • read more about [00107]

[00108] Recent Advances on Kinetic and Related Equations

  • Abstract : Kinetic theory has been expanding its frontier and emerged as promising in various fields of engineering and science. At the same time, it has been a source of unsolved mathematical problems at fundamental levels, which are still actively studied. This mini-symposium aims at bringing in international experts on mathematical analysis, modeling, and computation of kinetic theory and related topics, in order to present the field’s state-of-the-art results and foster future academic exchanges and collaborations among researchers from different sub-fields. We propose three sessions which include 12 speakers from different generations of the field and 2 leading experts Tai-Ping Liu and Shih-Hsien Yu as chairpersons who can enhance the communication of the groups.
  • Organizer(s) : Jin-Cheng Jiang, Satoshi Taguchi, Hai-Tao Wang, Seok-Bae Yun
  • read more about [00108]

[00110] Computation on Supersingular and Superspecial Curves and its Applications

  • Abstract : Supersingular and superspecial algebraic curves have been studied in coding theory and cryptography for the last few decades. The applications are based on explicit constructions and computational aspects of such algebraic curves, which give novel and fascinating mathematical challenges. Interestingly, we have different kinds of problems depending on the genus of curves. The supersingular genus 1 curves, i.e., elliptic curves, are a central ingredient in quantum-resistant isogeny-based cryptography. A series of recent research shows that the security of the cryptosystems is closely related to arithmetic on superspecial curves of higher genera, whose study is the main topic in this minisymposium.
  • Organizer(s) : Katsuyuki Takashima
  • read more about [00110]

[00114] Computational Biology

  • Abstract : Besides the traditional (experimental) and theoretical biology, computational biology is the third biology. Its mission is to visualize the activities of living things on the screen to understand their backgrounds theoretically and to predict future status for applications. For this purpose, experimental, data, and simulation sciences are applied, but mathematical formulae are obviously necessary. Computational biology is now widely spreading as a new challenge of industrial and applied mathematics. This minisymposium focuses on recent developments in computational biology.
  • Organizer(s) : Takashi Suzuki
  • read more about [00114]

[00118] On mathematical modeling and simulation of droplets

  • Abstract : The mathematical modeling and simulation of droplets is a basic and fundamental problem in the history of fluid mechanics. Droplets can undergo a variety of interesting nonlinear dynamics such as droplet coalescence/break up, electro-wetting, and traveling waves, etc, due to surface tension effects, substrate geometry and material, as well as external physical forces. This minisymposium will present recent advances in the modeling and simulation of droplets and focus on the mathematical challenges arising from different real-world applications.
  • Organizer(s) : Hangjie Ji, Pejman Sanaei
  • Sponsor : This session is sponsored by the SIAM Activity Group on Computational Science and Engineering.
  • read more about [00118]

[00134] Evolution Equations for Interacting Species: Applications and Analysis

  • Abstract : This mini-symposium brings together leading experts in the field of systems of PDEs arising in the context of interacting particles. Steric effects and interactions between members of opposite or the same species typically lead to systems of nonlocal and cross-diffusion type. The interplay of degenerate parabolicity and nonlocalities leads to a myriad of interesting emergent behaviours including pattern formation and phase separation. At the same time, these systems pose a variety of challenging analytical mathematical problems including the dramatic loss of regularity at the onset of phase separation. Thus, new analytical techniques and reliable numerical methods are needed.
  • Organizer(s) : Jan-Frederik Pietschmann, Markus Schmidtchen, Havva Yoldaş
  • read more about [00134]

[00135] Nonlinear PDEs and related diffusion phenomena

  • Abstract : Diffusion equations have a primary role in the description and modeling of several physical phenomena. A classical prototype is the heat equation, deriving from Fourier’s law, which is by now a widely studied topic within the mathematical community, both in Euclidean and non-Euclidean frameworks such as manifolds or metric-measure spaces. In the last decades, many nonlinear and nonlocal versions of this equation and related ones have been proposed and analyzed, which gave rise to challenging mathematical problems. We aim at gathering international experts and talented young researchers that will discuss the most recent advances on the subject.
  • Organizer(s) : Kazuhiro Ishige, Tatsuki Kawakami, Matteo Muratori
  • read more about [00135]

[00137] Mathematical Aspects of Multiscale Phenomena in Materials and Complex Fluids

  • Abstract : The mini-symposium will focus on mathematical aspects of multiscale phenomena in materials and complex fluids. New scientific problems along with novel mathematical techniques and computational tools have emerged from the study of multiscale phenomena, for example, in polycrystalline materials, biomaterials, flow through porous media, as well as liquid crystals, to name a few. The mini-symposium will bring together experts in the area of mathematical aspects of materials and complex fluids and will feature talks on the latest advances in the field that range from mathematical modeling and analysis of partial differential equations to algorithm design, simulation and data analysis.
  • Organizer(s) : Yekaterina Epshteyn, Chun Liu, Masashi Mizuno
  • read more about [00137]

[00140] Interacting particle systems: modeling, learning and applications

  • Abstract : Systems of interacting particles or agents are ubiquitous in science and technology, with new theory and applications developing at a rapid pace. This mini-symposium aims at a cross-fertilization of areas in the study of topics in interacting particle systems, including, but not limited to: their analysis, computational techniques, parametric and nonparametric inference problems, control, interacting particles on graphs, use of interacting particle-based methods in optimization and neural networks, modeling and applications.
  • Organizer(s) : Fei Lu, Mauro Maggioni
  • read more about [00140]

[00143] Recent advances in stochastic optimal control and contract theory

  • Abstract : The aim of this session is to bring together some of the most active junior researchers in the areas of stochastic optimal control, with an emphasis on applications to contract theory and principal-agent problems. It will be a perfect and timely opportunity to take stock of the recent progresses in these very trendy topics, as well as to highlight the deep links that they share. In particular, a specific attention will be put on relationships with mean-field and Stackelberg games, McKean-Vlasov optimal control, and time-inconsistent optimal control problems.
  • Organizer(s) : Dylan Possamaï
  • Sponsor : This session is sponsored by the SIAM Activity Group on Financial Mathematics and Engineering.
  • read more about [00143]

[00151] Recent trends in SHM: damage modeling and optimal experimental design from a mechanical and mathematical point of view

  • Abstract : Structural and mechanical systems like bridges, buildings and defense systems play an essential role in modern societies. The maintenance of these structures must provide their safety and prevent the loss of life but at the same time be cost-efficient. Usually, the monitoring issue has been tackled from an engineering point of view. Consequently, the number of possible problem-solving algorithms is drastically reduced. In this minisymposium, the approaches from a mathematical and mechanical point of view are presented. These lead from methods for optimal sensor placements and applications of shape optimization to numerical simulations of damage detection, evolution, and prognosis.
  • Organizer(s) : Kathrin Welker, Natalie Rauter
  • read more about [00151]

[00153] Recent Advances on Inverse Analysis

  • Abstract : In inverse analysis, unknown design variables and parameters are calculated so as to satisfy observed values and design standard values, and this kind of analysis is widely performed in design problems, i.e., shape optimization and topology optimization problems, and parameter identification problems. The adjoint variable method, the direct differentiation method, the Kalman filter, etc. are generally employed to solve these problems. However, the solution may not be appropriately calculated unless special methods are used. In this mini symposium, the purpose is to discuss new numerical methods and considerations to solve problems in inverse analysis.
  • Organizer(s) : Takahiko Kurahashi, Jin-Xing Shi, Masayuki Kishida, Eiji Katamine
  • read more about [00153]

[00154] Homogenization of PDEs in domains with oscillating boundaries or interfaces

  • Abstract : Homogenization is a mathematical way of understanding microscopic structure via macroscopic medium and hence has enormous applications in science and engineering fields, including material science, as heat diffusion, fluid flows, deformations, and biological applications as electrical conduction in tissues like nerve or hearth fibers. In this symposium, we consider two types of closely related homogenization problems: complex domains consisting of a fixed part and a rapidly oscillating part, and domains with oscillating interfaces with jump-conditions.
    The aim of this minisymposium is to present recent results in these two important subjects by known specialists worldwide, and allow discussions opening new directions.
  • Organizer(s) : Patrizia Donato, Akambadath K. Nandakumaran
  • read more about [00154]

[00164] Recent Advances in Direct and Inverse Problems in Mathematical Materials Science

  • Abstract : In recent years, there has been a tremendous growth of activity in developing methods for materials-related phenomena occurring over multiple scales in time and space. This minisymposium focuses on multiscale modeling, analysis, and simulation of the problems arising in composites and other heterogeneous media. In particular, topics that will be discussed include but are not limited to asymptotic analysis such as homogenization, modeling of new materials, inverse problems, and computational tools. The purpose of this minisymposium is to encourage the exchange of ideas and networking among researchers working on the topics mentioned above.
  • Organizer(s) : Lyudmyla Barannyk, Silvia Jimenez Bolanos, Yvonne Ou
  • Sponsor : This session is sponsored by the SIAM Activity Group on Mathematical Aspects of Materials Science.
  • read more about [00164]

[00168] Applications of evolutionary algorithms in differential equation models

  • Abstract : Evolutionary algorithms (EAs) have been at the forefront of computational science in solving optimization problems arising from science and engineering. EAs gained popularity because of their capability to obtain global minimizers of non-smooth objective functions. In this minisymposium, we explore the applications of EAs in solving optimization problems arising from differential equation models. Recent techniques in unconstrained, constrained, and multi-objective EAs will be presented along with applications in parameter estimation and control of infectious disease models, medical image reconstruction in electrical impedance tomography, optimal placement of sensors of tsunami sensors, and other applications in engineering.
  • Organizer(s) : Renier Mendoza, Eunok Jung
  • read more about [00168]

[00170] Integrable systems, orthogonal polynomials and asymptotics

  • Abstract : Interest in nonlinear dynamical systems has grown dramatically over the past half century. Profound advances have been fueled by the discovery of integrable systems that are applicable in a wide range of applications. In particular, nonlinear ODEs called the Painlev\’ equations model applications in many fields, in particular in random matrix theory and growth processes. Their appearance in quantum gravity and orthogonal polynomial theory has led to widening interest in integrable discrete versions of these equations. This minisymposium will bring together recent developments in integrable systems, orthogonal polynomials and asymptotics with a view to describing new special functions.
  • Organizer(s) : Nalini Joshi, Nobutaka Nakazono, Milena Radnovic, Da-jun Zhang,
  • read more about [00170]

[00172] On application of principle curvature distribution in local differential geometry

  • Abstract : Recently, shape has become increasingly crucial in device and materials science. In this symposium, we will focus on principal curvature distributions in differential geometry and discuss examples where the principal curvature distributions play a crucial role. We take particular note of the curved carbon nanotubes discovered in the 2000s, and the manufacturing methods of curved surfaces in shipbuilding and other applications. Both seem unrelated at first glance, but from an applied mathematical point of view, the principal curvature distribution is analyzed by utilizing common mathematics. This symposium aims to discuss these issues from the standpoint of local differential geometry.
  • Organizer(s) : Shigeki Matsutani, Yutaro Kabata, Yuta Ogata, Jun Onoe
  • read more about [00172]

[00176] Hyperbolic PDEs modelling non-Newtonian fluid flows

  • Abstract : Since the beginning of continuum mechanics, the need to improve quantitative predictions of non-Newtonian flows continues.
    The simulation of turbulence or of complex (non-homogeneous) fluids using good PDEs, in particular, remains an unsatisfied goal.
    A major challenge is how to conciliate the conservation principles funding physics with quantitative observations.
    A natural approach is to add dissipative relaxation terms in the hyperbolic PDEs resulting of conservation laws.
    The goal of the minisymposium is to confront recent advances, with promising theoretical or numerical results, regarding hyperbolic PDEs plus relaxation sources for various non-Newtonian fluid flows.
  • Organizer(s) : Sébastien Boyaval
  • read more about [00176]

[00178] Theoretical and Computational Progress on PDE-based Inverse Problems with Applications

  • Abstract : Inverse problems for partial differential equations (PDEs) concern recovery of unknown coefficients or geometries/topologies within the equations by knowledge of certain observables. These problems sit at the intersection of mathematical analysis, PDE theory, and scientific computing, with broader application to modern imaging science and technology.This minisymposium aims to highlight recent advances in inverse problems for PDEs. It will bring together international scientific researchers to discuss recent developments and emerging challenges in this fast-evolving field. Major topics include (1) inverse problems in wave-based imaging; (2) inverse scattering theory; (3) data-driven inverse methods, and their applications to medical and geophysical imaging.
  • Organizer(s) : Huaian Diao, Hongyu Liu, Yang Yang, Minghui Song
  • read more about [00178]

[00179] Advances in forward and inverse problems of wave equations

  • Abstract : The recent advances in wave equations and its fast numerical methods have provided useful tools for many applications ranging from nano-optics to medical imaging and geosciences. This mini-symposium will discuss the challenges in the formulations of forward and inverse problems, cutting edge fast algorithms and their efficient implementation and applications in various fields. At the same time, it will provide opportunities to promote interdisciplinary research collaboration between computational scientists and other fields.
  • Organizer(s) : Carlos Borges, Jun Lai
  • read more about [00179]

[00184] Recent advances in data-driven methods for inverse problems

  • Abstract : The remarkable success of deep learning has led to a transformative impact on the research landscape of inverse problems in imaging. This mini-symposium aims to bring together researchers who have made exciting contributions to understanding the theoretical foundations and empirical performance of deep learning in various imaging applications. The talks will cover a wide range of topics such as deep regularization, Bayesian methods, microlocal analysis, learned optimization solvers, and robustness of reconstruction methods to distribution shift and adversarial attacks, making the sessions of sufficient interest to a broad audience, while encouraging an exchange of ideas to advance the state-of-the-art.
  • Organizer(s) : Subhadip Mukherjee, Carola-Bibiane Schönlieb, Martin Burger
  • read more about [00184]

[00185] AAA rational approximation: extensions and applications

  • Abstract : The numerical computation of rational approximations has become much easier since the appearance of the AAA
    algorithm in 2018. This minisymposium will explore some of the many things that have happened since then.
  • Organizer(s) : Lloyd N. Trefethen
  • read more about [00185]

[00187] Analysis and geometry of inextensible materials

  • Abstract : There are many objects in the world around us that can be modeled as inextensible: pipes, chains, ribbons, cloth, whips, flagella, filaments, macromolecules, soft robot links, yarn, flags, cables in the ocean, galactic motion and octopus tentacles. In a certain sense, the inextensibility interpolates between rigid bodies and incompressible fluids but in comparison to them has many genuinely new difficulties due to the presence of unknown Lagrange multipliers. We intend to bring together some of the leading experts to discuss the modern ways to handle the analytical complexity of the PDE related to inextensible materials and the beautiful underlying geometry.
  • Organizer(s) : Dmitry Vorotnikov
  • read more about [00187]

[00193] Adversarial robustness at the interface of analysis, geometry and statistics

  • Abstract : Stability and robustness have emerged as essential properties for modern machine learning methods. In this three-part minisymposium, we gather researchers from mathematics, statistics, and computer science that have been driving the research in this field in a variety of directions, offering a platform for scientific exchange and aiming at sparking new collaborations in this vibrant and important field.Some of the topics that will be covered by this mini-symposium include regularization methods and insights from variational calculus for training robust models, numerical methods for solving min-max problems, distributionally robust optimization, GANs, geometric insights on adversarial robustness, among others.
  • Organizer(s) : Tim Roith, Nicolás García Trillos, Martin Burger
  • read more about [00193]

[00194] Recent Progress of Computational Electromagnetics

  • Abstract : This minisymposium will feature the recent advances and challenges in the field of computational electromagnetics. The topics covered in the minisymposium will include (but be not limited to) novel numerical methods and techniques for solving electromagnetic partial differential equations, e.g., use of the extended finite element methods in eddy-current problem, and balancing domain decomposition method for large-scale parallel computation for electromagnetic fields.
  • Organizer(s) : Takeshi Mifune, Tetsuji Matsuo, Takeshi Iwashita
  • read more about [00194]

[00196] Recent development of mathematical geophysics

  • Abstract : The purpose of this minisymposium is to interact with mathematicians working on geophysics with various recent topics: large time behavior of solutions, machine learning approach, flow behavior on manifolds and meteorological analysis. These each topics have long research history. However, the tendency of the recent studies seems to be a broader point of view, not only from each own research field but also from an interdisciplinary perspective.
  • Organizer(s) : Tsuyoshi Yoneda
  • read more about [00196]

[00201] Data-Driven Methods for Rough PDEs

  • Abstract : Recently there has been an increased interest in applying data driven methods to learn partial differential equations (PDEs). For example, operator learning has been developed to learn maps between infinite-dimensional function spaces and has shown success in the context of smooth PDEs. However, these methods perform poorly in areas where PDEs are less well-behaved; for instance, when equations are parameterized by non-smooth functions or when the PDE involves stochasticity. This mini-symposium invites experts on novel methods for learning stochastic and ill-conditioned multiscale PDEs. Topics will include numerical methods for SPDEs, learning in multiscale settings, and advances in operator learning.
  • Organizer(s) : Matthieu Darcy, Edoardo Calvello
  • read more about [00201]

[00211] Mathematics of Geometric Deep Learning

  • Abstract : Geometric deep learning has important applications in the fields of quantum computing, 3D perception, molecular designs, and the discovery of mathematical theorems. It takes account of properties such as invariance and equivariance. Many existing structure-aware deep networks lack rigorous theoretical foundations of desired properties in modeling, such as network stability, interpretability, and efficient computation. This workshop will gather researchers from mathematics and computer sciences to provide a forum to establish diverse mathematical theories for geometric deep learning, such as harmonic analysis, algebraic topology, algebraic geometry, combinatorics, differential geometry, differential equations, graph theory, approximation theory, statistics, and theoretical computer science.
  • Organizer(s) : Yuguang Wang, Bingxin Zhou, Yuelin Wang
  • read more about [00211]

[00215] Mathematical Advances in the nonlinear PDEs from physics

  • Abstract : The aim of this mini-symposium is to bring together experts in the area of nonlinear PDEs from physics, such as Euler-type equations and Boltzmann equation, to present their recent research results in theoretical analysis and applications in physics. In this mini-symposium, people are expected to exchange new ideas, to discuss challenging issues, to explore new directions and topics, and to foster new collaborations and connections.
  • Organizer(s) : Renjun Duan, Xianpeng Hu, Tong Yang
  • read more about [00215]

[00216] Recent Advances on interfaces dynamics modeling and simulation

  • Abstract : Dynamics of the interface, like deformation and reaction, play an important role in biology like cell aggregation, and industry like water-proof material. Modeling and simulation of the dynamics of the interface are challenging since multiphase-flow and multiphysics fields are evolved. Recently, machine learning-based methods like Neural networks are introduced to solve the obtained nonlinear coupled system more efficiently. The purpose of this symposium is to bring together researchers working on modeling, theory, and numerics for interface problems, to share the latest advances in the field, and to provide a forum for joint collaborations.
  • Organizer(s) : Huaxiong Huang, Shixin Xu
  • read more about [00216]

[00217] Integration of modeling and data analysis on molecular, cellular, and population dynamics in the life sciences

  • Abstract : Systems biology approaches that integrate heterogeneous biological data in quantitative mathematical models are expected to facilitate a comprehensive understanding of complex biological systems. This A3 (China-Japan-Korea) mini-symposium will bring together Asian mathematicians working in the field of mathematical modeling and data analysis to share their cutting-edge research results on dynamic phenomena at all levels from molecular and cellular to population.
  • Organizer(s) : Jae Kyoung Kim, Sungrim Seirin-Lee, Lei Zhang
  • read more about [00217]

[00220] Reaction-Diffusion Systems and Applications in life Sciences

  • Abstract : In this minisymposium we will focus on recent progress about the theory and applications of
    reaction-diffusion systems. A special focus will on the mathematical modelling and analysis for evolution systems with applications in biological, ecological, health and medical sciences such as modelling infectious diseases and tumor growth in life sciences. The minisymposium will invite experts in the field to report their recent results on these subjects.
  • Organizer(s) : Hong-Ming Yin, Takashi Suzuki, Yihong Du
  • read more about [00220]

[00221] Analysis of Fluid Dynamics and Free Boundary Problems

  • Abstract : This mini-symposium will focus on the analysis of fluid dynamics and free boundary problems including the geometric evolution equations. We will put particular emphasis on the study of existence, uniqueness, regularity, global existence and stability, singularity formation of the modeling equations and the motion of free interfaces in Euclidean spaces or on manifolds. The study of fluid dynamics and free boundary problems have profoundly impacted many applied fields such as physics, biology and material sciences. Thus the analysis of these problems provides a critical and rigorous mathematical descriptions of the corresponding physical phenomena.
  • Organizer(s) : Changyou Wang, Yuanzhen Shao
  • read more about [00221]

[00223] Stochastic optimization and stochastic variational inequalities

  • Abstract : Stochastic optimization and stochastic variational inequalities are important mathematical tools for decision-making problems and equilibrium problems under uncertainty. This mini-symposium brings several researchers in stochastic optimization and stochastic variational inequalities together and offers an opportunity to discuss the latest developments.
  • Organizer(s) : Hailin Sun, Chao Zhang
  • read more about [00223]

[00232] Theoretical foundations and algorithmic innovation in operator learning

  • Abstract : Many interesting phenomena in science and engineering involve operators mapping functions to functions. The application of data-driven tools from machine learning to scientific computing has thus given rise to the rapidly emerging field of operator learning. Despite encouraging practical successes, our understanding of these methods is still in its infancy, leaving important open questions to be addressed, including approximation guarantees, learning in data-scarce regimes, and understanding the limitations of current approaches and overcoming them. This minisymposium brings together researchers at the intersection of machine learning, approximation theory and PDEs to discuss theoretical foundations and recent algorithmic developments in this field.
  • Organizer(s) : Samuel Lanthaler, Jakob Zech
  • read more about [00232]

[00234] Differential Galois Theory and Integrability of Dynamical Systems

  • Abstract : The main objective of this minisymposium is to bring together researchers working on differential Galois theory and integrability of dynamical systems and to discuss recent results on the related topics containing the following:
    – Developments of differential Galois theory in dynamical systems
    – Integrability of dynamical Systems and PDE’s
    – Integrability in quantum mechanics and spectral theory
    – Galois approach to nonintegrability
  • Organizer(s) : Kazuyuki Yagasaki
  • read more about [00234]

[00237] Recent progress in multiscale modeling and computational methods in material sciences

  • Abstract : Remarkable progress has been made in recent years on multiscale modeling and computational methods for diverse problems in material sciences, including but not limited to fluid mechanics, pattern formation and defects in materials sciences, and soft and active materials in biology.
    The research is interdisciplinary, spanning the fields of mathematics, materials science and biology. This minisymposium focuses on the recent progress in the multiscale modeling, mathematical analysis and computational methods of broad topics in material sciences. We aim to bring together experts from diverse fields to share their interesting research topics and recent progress and to promote interdisciplinary research collaborations.
  • Organizer(s) : Chaozhen Wei, Dong Wang
  • read more about [00237]

[00239] Shape and Topology Optimizations

  • Abstract : Shape and topology optimizations are widely used in many industries and consider optimal shapes and topologies of materials to maximize desired physical properties. Topological changes also yield extremely high performance, and hence, these optimization methods have attracted much attention in many industries. Furthermore, recent technological innovations in additive manufacturing have made it possible to manufacture optimized materials and even metamaterials that do not exist in nature. Besides, these optimization methods that take manufacturability and practicality into consideration have also been developed and will be expected to be applied in various fields.
  • Organizer(s) : Takayuki Yamada, Grégoire Allaire, Hideyuki Azegami
  • read more about [00239]

[00247] Interfaces and Free Boundaries in Fluid Mechanics and Materials Science

  • Abstract : This minisymposium is focused on recent advances in the analysis of interface evolution problems. A particular
    emphasis lies on prominent applications arising in materials science (grain coarsening in polycrystalline
    materials), fluid mechanics (fluid-structure interaction, viscous surface waves, dynamic wetting) and phase
    separation models from chemistry. The minisymposium brings together an international group of researchers,
    new and established, to discuss topics covering a broad range of associated mathematical questions and
    techniques. These include variational methods for modelling and solution theories, the rigorous derivation of
    sharp interface limits, and the analysis of evolving networks of branched interfaces.
  • Organizer(s) : Sebastian Hensel, Kerrek Stinson
  • read more about [00247]

[00253] Modelling and Simulation of Lithium-Ion Batteries

  • Abstract : Lithium-ion batteries have a very important role to play in the transition to a sustainable future. But despite the current widespread use of batteries, many of the phenomena involved in their functioning are not well understood. Mathematical models can be a fundamental tool to understand batteries and enable better design and management. In this minisymposium we will discuss the latest advances in the development and analysis of continuum models for lithium-ion batteries, with a particular focus on homogenised models and their applications to real-world problems. This minisymposium is part of the ECMI Special Interest Group on Sustainable Energies and Materials.
  • Organizer(s) : Ferran Brosa Planella
  • read more about [00253]

[00255] Recent developments in fast algorithms for inverse problems and imaging

  • Abstract : Inverse problems correspond to the reconstruction of hidden objects from possibly noisy indirect measurements and are ubiquitous in a variety of scientific and engineering applications. Since these problems tend to be ill-posed, and real-world applications are often large-scale, this can be a very challenging task. This minisymposium focuses on recent advances in computationally efficient methods for solving large-scale inverse problems in imaging, e.g., those arising in medical, geophysical and industrial applications, covering topics that include advances in iterative methods, regularization, machine learning and novel applications of the previous.
  • Organizer(s) : Malena Sabaté Landman, Jiahua Jiang
  • read more about [00255]

[00260] Statistics for random dynamics

  • Abstract : Nowadays, a broad spectrum of large-scale and high-frequency data sets with complex spatiotemporal dependent structures is available; relevant fields of research are wide-ranging, including biology, finance, and actuarial science, to mention just a few. To create white-box models equipped with efficient and practical mechanisms for such data sets, simple combinations of the currently available devices are not enough, and it is therefore urgent and imperative to develop both mathematical statistics for stochastic processes and stochastic analyses synergistically, learning new from the past. Our session is intended to present some state-of-the-art topics in this active area of research.
  • Organizer(s) : Hiroki Masuda, Shoichi Eguchi
  • read more about [00260]

[00262] numerical analysis, modeling and applications in phase-field its relevant methods

  • Abstract : The phase field method and its relevant extensions have been widely used in various applications, including phase separations, crystal growth, and solid fracture dynamics. Meanwhile, it is still an active research field to develop thermodynamically consistent phase field models, design accurate, efficient, and stable numerical algorithms for these models, and apply them to various application problems. This mini-symposia brings together experts with diverse backgrounds in numerical analysis, PDE modeling and mathematical biology, machine learning, and data science, but with the same interest in phase field method and its relevant extension. Through this mini-symposia, we aim to foster active interdisciplinary discussions.
  • Organizer(s) : Xiaofeng Yang; Xiaoming He; Jia Zhao
  • read more about [00262]

[00263] Problems in incompressible fluid flows: Stability, Singularity, and Extreme Behavior

  • Abstract : The objective of the mini-symposium is to survey recent progress regarding a number of problems in theoretical fluid mechanics and to foster an exchange of new ideas in this field. It will cover a range of topics related to the existence of equilibrium solutions and their stability, extreme behaviors realizable in fluid flows, regularity of solutions versus singularity formation, transport, and turbulence. Both vicious and inviscid flows will be considered as well as some other simplified models of fluid flow. The mini-symposium will emphasize insights obtained by exploiting connections between rigorous mathematical analysis, physics, and numerical computations.
  • Organizer(s) : Takashi Sakajo, Bartosz Protas
  • read more about [00263]

[00264] Card-based Protocols and PEZ Protocols

  • Abstract : Secure computation protocols enable distrustful parties, each holding secret input, to compute a function of their inputs without revealing their inputs beyond the function value. Zero-knowledge protocols allow a prover to convince a verifier that there exists a solution to the puzzle without revealing the solution itself. While these cryptographic protocols are usually implemented on electronic computers, there is another line of research on cryptography using everyday physical objects instead of electronic devices. This mini-symposium will be devoted to so-called card-based protocols and PEZ protocols, which establish cryptographic tasks using a deck of physical cards and a PEZ dispenser, respectively.
  • Organizer(s) : Kazumasa Shinagawa, Kengo Miyamoto, Takaaki Mizuki
  • read more about [00264]

[00268] Neumann—Poincaré Operator, Layer Potential Theory, Plasmonics and Related Topics

  • Abstract : The Neumann—Poincaré operator (abbreviated by NP) is a boundary integral linear operator known as one of the important tools associated with boundary value problems in the field of partial differential equations. The detailed properties of NP operators can be comprehended as governing dynamics of many physical systems. Especially, the NP spectrum controls some physical systems (Electro dynamics, elastic systems and etc.).
    Our purpose here is to discuss the spectral structure of NP operators and their applications to physical systems.

    N.B. We would like to hold 4 sessions at this minisymposium.

  • Organizer(s) : Kazunori Ando, Yoshihisa Miyanishi
  • read more about [00268]

[00276] Interplay of Numerical and Analytical Methods in Nonlinear PDEs

  • Abstract : Devising reliable numerical schemes and analytically understanding fine properties of solutions of nonlinear partial differential equations are challenging mathematical tasks. Theoretically and practically relevant examples are geometrically constrained PDEs such as harmonic maps and isometric bending problems. Modern applications arise in the development of new storage technologies and micro tools. Numerical simulations provide valuable experimental insight that can motivate analytical results, e.g. about singularities. Conversely, stability results for solutions lead to convergence theories for numerical schemes. The minisymposium aims at bringing together scientists from analysis and numerics working on nonlinear PDEs in order to inspire new mathematical developments.
  • Organizer(s) : Sören Bartels, Diane Guignard, Christof Melcher
  • read more about [00276]

[00278] Nonlocal Modeling, Analysis, and Computation

  • Abstract : The past decade has seen a rapid growth in the development of nonlocal mathematical models. Nonlocal modeling is now being used in applications including continuum mechanics and fracture mechanics, anomalous diffusion and advection diffusion, and other fields. This minisymposium seeks to bring together mathematicians and domain scientists from different disciplines working on nonlocal modeling and is intended to serve as an international forum for the state of the art in the modeling, analysis, and numerical aspects of nonlocal models.
  • Organizer(s) : Patrick Diehl, Pablo Seleson, Robert Lipton, Qiang Du
  • read more about [00278]

[00280] Canonical Scattering Theory and Application

  • Abstract : A resurging interest in metamaterials, in particular acoustic metamaterials, comprising multi-scale rigid, porous, and/or elastic materials with subwavelength resonators renews the need for a mathematical theory capable of dealing with wave interactions with such objects. This session will comprise advances across a range of canonical scattering and diffraction problems applicable to acoustic metamaterials. This lays the foundation for understanding and exploiting these materials across a range of industrial applications such as sound absorbent linings, acoustic cloaking devices, and acoustic lensing
  • Organizer(s) : Lorna Ayton
  • read more about [00280]

[00283] Recent developments in mathematical imaging and modeling in magnetic particle imaging

  • Abstract : Mathematical imaging and modeling are two key challenges in the imaging modality magnetic particle imaging (MPI). MPI provides reconstructions of the concentration of magnetic nanoparticles in 4D. To address this inverse problem properly, various dynamics need to be taken into account, e.g., the particles’ magnetization behavior and the dynamics in the fluid tracer. MPI provides challenging problems in imaging, modeling, and parameter identification. In this mini-symposium, we aim at bringing together researchers working on MPI and related mathematical fields. We cover theoretical and practical topics focusing on mathematical and physical as well as algorithmic and computational issues.
  • Organizer(s) : Christina Brandt, Tobias Kluth
  • read more about [00283]

[00286] Low-Reynolds-number swimming: modelling, analysis and applications

  • Abstract : Swimming in a fluid at microscopic scale is at the heart of many questions pertaining to biology, soft matter physics and micro-robotics.
    It usually involves a complex balance of hydrodynamics, elasticity and internal activity, yielding a wide range of issues requiring various mathematical viewpoints, from modelling the fluid-structure interaction to optimal propulsion and efficient control of the swimmer’s trajectory, with perspectives on future applications to biomedical micro-robots. This minisymposium brings together a group of young and experienced researchers to share their contributions to some of the latest developments in the theoretical and numerical analysis of micro-swimmers.
  • Organizer(s) : Jessie Levillain, Clément Moreau
  • read more about [00286]

[00289] Nonconvex nonlinear programming: Theory and algorithms

  • Abstract : Nonconvex nonlinear programming problems arise extensively in many important applications including machine learning, image processing, etc. This minisymposium intends to present the latest advances on nonconvex nonlinear programming both in theory and in algorithms. The talks will be particularly focused on large scale problems, Lagrangian methods, gradient methods, and stochastic methods.
  • Organizer(s) : Xin-Wei Liu, Yakui Huang
  • read more about [00289]

[00294] Machine Learning and Differential Equations

  • Abstract : This Minisymposium aims at exploring the multiple relations between Machine Learning and Differential Equations. For one, it is possible to use Machine Learning to learn the solutions of challenging, high-dimensional or parameterized Differential Equations. On the other hand, some network architectures, like ResNet or Fractional-DNN, can be understood as time discretizations of Differential Equations. This interplay of different research directions leads to exciting problem formulations and the opportunity to benefit from the respective expertise.
  • Organizer(s) : Roland Maier, Evelyn Herberg
  • read more about [00294]

[00295] Estimation problems over groups

  • Abstract : We discuss a class of estimation problems that aim for unknown group elements or a signal affected by group actions. Three prominent examples of such problems are synchronization over groups, multireference alignment, and the recovery problem in single-particle cryo-EM. The talks will cover computational and theoretical aspects, including the sample complexity of the problems, constructing group invariant operators, sparsity, recovery strategies, machine learning-based methods, group-robust metrics, data modeling, autocorrelation analysis, and its acceleration techniques, manifold optimization in cryo-EM, synchronization analysis, and more. This mini-symposium is divided into three sections and will host senior and junior researchers as its speakers.
  • Organizer(s) : Yuehaw Khoo, Nir Sharon, Amit Singer
  • read more about [00295]

[00296] Recent advances on two-phase flows, fluid-structure interactions, and interface problems

  • Abstract : This mini-symposium for ICIAM2023 concerns different important topics such as mathematical modeling, theoretical analysis, and numerical methods. An important goal of this workshop is to foster collaboration between mathematicians, computational scientists, and engineers.Applications include classic interface problems, Newtonian and non-Newtonian fluids, fluid and porous media, or viscoelastic, or poroelastic media couplings, finite element, finite volume, and finite differences or other numerical methods. Wellposedness of mathematical models and so on. The nature of this workshop will be mathematics centered with multi-disciplinary and multi-physics applications.
  • Organizer(s) : Juan Ruiz-Alvarez, Zhiyue Zhang
  • read more about [00296]

[00297] Wave scattering problems: numerical methods with applications

  • Abstract : Wave scattering problems in acoustics, elastodynamics and electromagnetics are important in a large number of applications wherein challenging mathematical and numerical issues require sophisticated methods and techniques to resolve. The study of numerical methods for solving wave scattering problems has been heavily focused by researchers in both mathematical and engineering committees. This symposium devotes to combining experts from different countries and discussing some latest advances in computational modelling and simulation of complex wave phenomena with their application to real-world problems.
  • Organizer(s) : Wangtao Lu, Tao Yin
  • read more about [00297]

[00304] Phase transition and control of PDE models in applied sciences

  • Abstract : The minisymposium aims to discuss recent developments and applications on phase transition and control for partial differential equations, abbreviated as PDEs, in applied sciences, such as biology, material sciences, engineering and so on.
    Partial differential equations are important tools to model and study the various phenomena in applied sciences. The models with phase transition and control issues give rise to a great deal of challenging problems both in theoretical and numerical studies. The sessions focus on the seminal and extensive works in phase transition, boundary stabilization, optimal control of PDE models, such as Keller-Segel model, multi species BGK models, and aggregation models.
  • Organizer(s) : Jie Du, Hui Yu
  • read more about [00304]

[00305] Computational Modeling on Biomedical Diseases

  • Abstract : Several studies have demonstrated that mathematical and computational data analysis models are required to obtain a systematic understanding of the diseases and find effective treatments. As a result, many mathematical models using both stochastic and deterministic methods have been developed to study the evolutionary processes of the diseases’ initiation and progression. Some of the results of these computational models were used to predict the outcome of various drugs to obtain optimal treatment strategies. This mini-symposium will bring together scientists who are interested in the mathematical modeling of different biomedical diseases, including COVID-19, AIDs, TB, cancer, etc.
  • Organizer(s) : Wenrui Hao, Wing-Cheong Lo, Leli Shahriyari
  • read more about [00305]

[00306] Mathematical approaches to nonlinear phenomena with singularities

  • Abstract : In the advanced sciences and technologies, singularity has been one of characteristic keywords of complex and dynamic nonlinear phenomena, such as phase transitions, crystallization processes, image denoising processes, and so on. Also, in recent years, the theoretical/numerical methods to deal with such singularity have been developed by a lot of researchers, from various viewpoints. The objective of this mini-symposium is to let wide range of experts of this field meet together, and to exchange the latest hot topics on the mathematical models of nonlinear phenomena, such as solvability, regularities, stability, optimizations, and so on.
  • Organizer(s) : Ken Shirakawa, Salvador Moll, Hiroshi Watanabe
  • read more about [00306]

[00307] Advanced Solver for Computational Poromechanics

  • Abstract : The numerical simulation of coupled flow and mechanical deformation in porous media is desired in several branches of technology and natural sciences for analyzing experimental data and designing quantitative theories based on mathematical concepts. The fluid-structure interaction is subject to various complexities and multiscale mechanisms. This is due to the mixed or mixed dimensional type of the model equations, nonlinearities in constitutive relations or boundary conditions, functionals used in variational formulations of error control or optimization problems. Recent progress in the design, analysis and application to large-scale problems of robust and efficient solvers for poromechanics is presented by leading experts.
  • Organizer(s) : Markus Bause, Florin A. Radu
  • read more about [00307]

[00309] Population Dynamics in Biology and Medicine

  • Abstract : The mini-symposium covers diverse topics in population dynamics, from the control of insect populations, which are important disease vectors or agricultural pests, to disease spreading and their relationship with the individual immunological status in an ecological ambiance. Different approaches will be discussed in this context, combining techniques from control theory, asymptotic analysis, bifurcation theory, sensitivity analysis, and networks. The group committed to this mini-symposium is heterogeneous, coming from different institutions in North and South America, Europe, and Asia, and well-balanced between women and men researchers.
  • Organizer(s) : Claudia Pio Ferreira, Olga Vasilieva
  • read more about [00309]

[00316] Dynamics of patterns and traveling waves arising from reaction-diffusion systems

  • Abstract : Reaction-diffusion systems reveal rich phenomena related to mathematical biology and evolutionary dynamics, like pattern formation, propagation of traveling waves. These results are also related to the free boundary problems coming from the fast reaction limits. In order for the communication with other researchers, we organize a minisymposium consisting of the topics on patterns, traveling waves and entire solutions for reaction-diffusion systems. The speakers introduce their works from the approach by center manifold reduction, comparison principles and variational methods. We expect to have new and positive contributions to these fields.
  • Organizer(s) : Chueh-Hsin Chang, Chih-Chiang Huang
  • read more about [00316]

[00319] Robust formulations for coupled multiphysics problems – Theory and applications

  • Abstract : The proposed minisymposium aims to bring together experts in the construction and analysis of novel discretization techniques for multiphysics models that maintain robustness with respect to model constants of interest. Particular emphasis will be placed on rigorous analysis of stability using saddle-point and perturbed saddle-point theory, a priori and a posteriori error estimation, as well on the design of robust solvers based on tailored domain decomposition techniques or on operator preconditioning. The session will also focus on the application of these new methodologies in the solution of coupled models arising in mechanobiology and similar multiphysics systems. For instance, our minisymposium features submissions involving brain tissue dynamics, cardiac electromechanics, and respiratory system modeling; but it also welcomes talks related to geophysical flows or other types of fluid-structure interaction multiphysics problems.
  • Organizer(s) : Wietse Boon, Martin Hornkjøl, Miroslav Kuchta, Ricardo Ruiz Baier
  • read more about [00319]

[00322] Methodological advancement in rough paths and data science

  • Abstract : Rough path theory is an emerging mathematical technology that captures macroscopically interactions of highly oscillatory streamed data. Formally, it extends the domain of definition for the calculus of deterministic controlled differential equations, allowing them to be driven by complex signals, potentially rougher than Brownian motion. This area has built bidirectional connections with data science and machine learning, enabling the development of novel, mathematics-informed methods for efficiently analyzing time series data, e.g. PDE-based Signature kernel, path development layer with Lie group representation. This minisymposia series facilitates the discussion of new methodological innovations on this interface between rough paths and data science.
  • Organizer(s) : Hao Ni, Yue Wu
  • read more about [00322]

[00323] Integrating rough paths into domain applications

  • Abstract : Streamed data are ubiquitous. In this context, a key challenge is to quantify our understanding and account for the interaction between channels. Rough path theory provides new insights for producing actionable inference for multimodal path-like data. The path signature is a mathematical object with desirable approximation properties and geometric interpretation which leads to more effective features and analysis. Further, the expected signature provides a powerful way to describe empirical measures on streams. Applications include award-winning machine learning methods in healthcare and finance, as well as commercial-quality Chinese handwriting software. We expose new challenges and work on applications in this area.
  • Organizer(s) : Terry Lyons, Lingyi Yang
  • read more about [00323]

[00324] Minisymposium on Combinatorial Reconfiguration

  • Abstract : Combinatorial reconfiguration is an emerging branch of discrete mathematics that deals with gradual changes of combinatorial objects. While several related concepts have been studied over the years from different perspectives, the theory is growing up by combining its mathematical, computational and practical aspects.This minisymposium aims at communicating recent research trends on combinatorial reconfiguration and discussing possible future directions.
  • Organizer(s) : Takehiro Ito, Yusuke Kobayashi, Yoshio Okamoto
  • read more about [00324]

[00336] Recent advances in Optimization methods with applications

  • Abstract : The aim of this session is to present recent advances in optimization (e.g. calculus of variations, control theory, decision theory, etc). We are interested in its different approaches: theoretical, numerical analysis or applications to real life. Potential topics include, but are not limited to: Optimization, Numerical Mathematics, Optimal Control, Calculus of Variations, consensus theory, Mathematical Modeling, Dynamical Systems, Applications to Physics, Biology, Medicine and Robotics, and fractional calculus.
  • Organizer(s) : Ricardo Almeida, Natália Martins
  • read more about [00336]

[00340] New trends in phase fields: theory & applications

  • Abstract : The phase field method is a powerful numerical method to solve moving boundary problems appearing in Materials Science and Engineering. Phase field theories are parameterized by a set of physically motivated variables and their governing equations. This mini-symposium will bring together numerical analysts and computational scientists working on phase field methods to present their recent advances in algorithm designs and applications of phase field methods. The main purposes of this mini-symposium are to review the current status, identify problems and future directions, and to promote phase field methods to a wider scientific and engineering community.
  • Organizer(s) : Mejdi Azaiez, Chuanju Xu
  • read more about [00340]

[00341] Graph Coloring

  • Abstract : Graph coloring are fundamental objects of study in graph theory and have many applications including thetheoritical computer scinence, scheduling problems, and mobile phone network problems.Beginning with the four color theorem, many conjectures and extensions of graph coloring have been proposed.
    In addition, relationships with other subjects of graph theory have also been discovered.
    However, despite the efforts of many mathematicians, there are still many unsolved problems in graph coloring.
    In this mini-symposium, we will explore the latest topics and results concerning coloring conjectures, extensions, and relationships with other subjects.
  • Organizer(s) : Shunichi Maezawa
  • read more about [00341]

[00342] Localized waves in nonlinear discrete systems

  • Abstract : There are various spatially discrete nonlinear media in nature and engineering systems as diverse as solid crystal, metamaterial, and optical waveguide array, etc. Such media are mathematically modeled by nonlinear lattice dynamical systems. In both of experimental and mathematical systems, nonlinear localized waves such as solitons and discrete breathers are widely observed. The nonlinear localized waves have attracted much interest from the point of view of applied mathematics and that of physics problems such as thermalization and charge transport. So, mathematical and/or numerical analyses have been actively made. This MS aims at sharing and discussing recent results on the topic.
  • Organizer(s) : Kazuyuki Yoshimura, Yusuke Doi
  • read more about [00342]

[00345] Recent Developments for High-frequency Waves and Tomography

  • Abstract : Wave propagation is ubiquitous in our daily life, yet computing wave motion efficiently and accurately is still challenging in the high-frequency regime in many practical applications, such as nano-optics, material sciences, and geosciences. This mini-symposium gathers researchers in the field and provides a forum to exchange new ideas on recent theoretical and computational developments in high-frequency wave propagation and optics, as well as significant applications in medical and seismic tomography.
  • Organizer(s) : Jianliang Qian, Shingyu Leung
  • read more about [00345]

[00353] Interpretable constrained tensor decompositions: models, algorithms, efficient implementations and applications

  • Abstract : Tensor decompositions are a fundamental tool in the data sciences for extracting interpretable patterns, removing or reducing noise, and providing reduced-dimension or low-complexity models for tensor data. In recent years, significant progress has been made to propose and understand new constrained tensor models to aid in interpretability or to satisfy known constraints on the data. In this minisymposium, we present some of the state-of-the-art approaches to interpretable constrained tensor decompositions, including efficient inference algorithms with convergence guarantees, efficient implementations of these algorithms compatible with modern hardware, and application of these models to challenging data analysis problems across several domains.
  • Organizer(s) : Axel Marmoret, Daniel M. Dunlavy, Jeremy E. Cohen
  • read more about [00353]

[00356] Recent progress in variational problems with nonlocality

  • Abstract : This minisymposium will discuss some recent developments in the analysis of variational problems from science and engineering in which nonlocal interactions have a pronounced effect. Examples will include geometric variational problems with long-range repulsion, topologically non-trivial spin configurations in magnetic materials, long-range interactions in phase transitions, capillary theory and theory of dislocations.
  • Organizer(s) : Cyrill Muratov, Matteo Novaga, Valeriy Slastikov
  • read more about [00356]

[00357] Topics at the Interface between Applied mathematics and Microeconomics

  • Abstract : Traditionally, economic models were easier to understand in the context of economics. Still, recent advances in mathematical methods, particularly in applied mathematics and computer science, enable a more realistic and intuitive approach to economic phenomena. This session will present recent research on how economic theory relates to applied mathematics.
  • Organizer(s) : Yujiro Kawasaki, Kuninori Nakagawa
  • read more about [00357]

[00372] Recent advances on computational wave propagation

  • Abstract : This mini-symposium is organized to provide a forum for fellow researchers
    working on numerical methods for wave propagation problems to present and
    discuss their recent advances and achievements. Topics to be covered
    include but not limited to: FDTD methods, finite element methods, spectral methods,
    multiscale methods, novel techniques for metamaterials and graphene.
  • Organizer(s) : Jichun Li, Nathan Gibson
  • read more about [00372]

[00378] Mathematical Methods in System Reliability

  • Abstract : System reliability is a measure of the performance of an engineering system. High-tech industrial processes increase in complexity and at the same time, system failures are having more significant impacts on society than ever before. Hence, the importance of reliability in modern engineering processes, can hardly be overstated.
    The reliable performance of complex systems depends on the performance of their components and the system’s structure. In recent years, advanced statistical, probabilistic and algebraic methods and techniques have been applied to system reliabilty. This minisymposium brings together recent developments of mathematical methods applied to industrial system reliability.
  • Organizer(s) : Fatemeh Mohammadi, Eduardo Sáenz-de-Cabezón, Henry Wynn
  • read more about [00378]

[00379] Numerical techniques for coarse-graining, model reducing and simulation of complex physical systems

  • Abstract : The simulation of complex physical systems for prediction and control requires robust, efficient mathematical modeling and numerical algorithms, as the problem size and time scales of interest in many applications are typically beyond which can be simulated directly. In recent years, a wealth of new techniques and algorithms have been developed to help reduce problem size/dimension and accelerate the accurate simulation of various classes of physical observables while quantifying the uncertainty of the resulting predictions made. Examples of such techniques include Coarse-Grained Molecular Dynamics, Nonlocal Theories of Mechanics, Time Accelerated Dynamics, Hyperdynamics, Space-Time Homogenization, and so on. These techniques and numerical algorithms have made successful applications in a diverse range of models.In view of the wide range of applicability of these algorithms and the ideas which lie behind them, this minisymposium seeks to bring together both theoreticians and practitioners who study and use numerical simulations for a range of practical scientific problems, aiming to facilitate discussion and two-way dissemination of ideas across disciplinary and topical boundaries.
  • Organizer(s) : Yanlai Chen, Xingjie Helen Li, Xiaochuan Tian, Yue Yu
  • read more about [00379]

[00382] Stochastic control and stochastic analysis in finance and insurance

  • Abstract : Stochastic control and stochastic analysis have played core roles in quantitative finance and insurance. Newly emerging financial and risk models, trading constraints, behavioral decision making and time inconsistency issues have brought many new mathematical challenges. Some novel PDE techniques, mean field game formulation, optimal transport, deep learning and reinforcement learning have been rapidly developed in addressing these problems. The goal of this minisymposium is to provide a forum for some experts to exchange ideas and explore possible collaborations in modelling and methodologies in financial and insurance applications.
  • Organizer(s) : Xiaolu Tan, Kazutoshi Yamazaki, Xiang Yu
  • read more about [00382]

[00384] Origami Engineering (1/2)

  • Abstract : Discussions on topics related to origami engineering will take place at this mini-symposium. Presenters will present their research aimed at applying the technology of origami, the folding of flat materials to create shapes, to engineering, and exploring the geometric properties of origami from a mathematical perspective to explore its range of applications.
  • Organizer(s) : Jun Mitani, Sachiko Ishida, Kazuya Saito
  • read more about [00384]

[00385] Origami Engineering (2/2)

  • Abstract : Discussions on topics related to origami engineering will take place at this mini-symposium. Presenters will present their research aimed at applying the technology of origami, the folding of flat materials to create shapes, to engineering, and exploring the geometric properties of origami from a mathematical perspective to explore its range of applications.
  • Organizer(s) : Jun Mitani, Sachiko Ishida, Kazuya Saito
  • read more about [00385]

[00389] Randomized methods for solving linear systems and eigenvalue problems

  • Abstract : Although the field of randomized numerical linear algebra has grown significantly, developments on accurate randomized solvers only start to emerge in recent years. This minisymposium intends to bring together researchers to exchange ideas on producing fast and accurate randomized solvers, studying their performance, and exploring new applications. We will specifically focus on randomized methods for solving linear systems and eigenvalue problems and on randomized strategies that can produce reliable high-quality solutions or approximations. Some topics include randomized iterative solvers, preconditioning, matrix approximations, low-rank compression, and eigenvalue detection. Applications to PDE solutions, machine learning, and data analysis will also be discussed.
  • Organizer(s) : Jianlin Xia, Qiang Ye
  • read more about [00389]

[00390] Recent Advances in Machine Learning Theory and Applications

  • Abstract : Successful applications of machine learning algorithms usually motivate theoretical studies of their computational and consistent properties. These theoretical studies help researchers and practitioners better understand the algorithms, identify appropriate application domains, and set up hyperparameters to achieve the best performance. On the other side, theoretical studies can also in turn motivate new algorithms by addressing the limitations of existing algorithms. This usually improves the performance in some specific scenarios or broaden the application domains of the existing algorithms. This minisymposium will collect talks on recent advances that address the interplay of mathematical foundations of machine learning and their applications.
  • Organizer(s) : Andreas Christmann, Han Feng, Qiang Wu
  • read more about [00390]

[00391] Recent Advances in Multiscale Transforms for Image Analysis

  • Abstract : This minisymposium will bring together researchers working on multiscale image transforms beyond wavelets and discuss deeper connections between harmonic analysis and image analysis. We plan to discuss various methods to decompose an image into “predictable” local segments and their residuals that allow efficient and sparse image approximation and associated tools based on new types of directional wavelets and monogenic signal representations. The key idea here is how to predict main features, e.g., dominant orientation information in texture images, in each local segment in such a way that the unpredictable portion in that segment is easily compressible or remains as noise.
  • Organizer(s) : Naoki Saito, Katsu Yamatani
  • read more about [00391]

[00400] Bilevel optimization in machine learning and imaging sciences

  • Abstract : In the framework of functional minimisation approaches, the task of customising the functional expression of both the prior and the likelihood terms to the data at hand by means of a further optimisation problem has been recently popularised under the name of bilevel optimisation. In this minisymposium, we gather experts working in such field both from theoretical and algorithmic perspectives with the intent of providing an overview of how bilevel learning can be effectively employed to estimate data-adaptive regularisation and data models for both imaging and machine learning applications.
  • Organizer(s) : Luca Calatroni, Samuel Vaiter
  • read more about [00400]

[00404] Large-Scale Eigenvalue Computations and Optimization

  • Abstract : The minisymposium aims at presenting a few recent developments in large-scale eigenvalue computations and optimization, as well as investigating the intimate connection between them. Of particular interest are not only standard and generalized eigenvalue problems but also nonlinear eigenvalue problems, multiparameter eigenvalue problems, singular value decompositions, and their applications such as those in data science and control theory. Orthogonal transformations and projections to proper subspaces play vital roles for computing and optimizing eigenvalues numerically in the large-scale setting. The minisymposium focuses on the use of such tools in modern algorithms for large-scale eigenvalue computations, optimization, and applications.
  • Organizer(s) : Kensuke Aishima, Emre Mengi
  • read more about [00404]

[00410] Recent advances in Bayesian optimal experimental design

  • Abstract : Computational measurement models may involve several uncertain parameters in addition to the unknown quantities of primary interest. In Bayesian optimal experimental design, the goal is to design a measurement configuration, e.g. optimal placement of sensors to collect observational data, which maximizes the expected utility—such as the expected information gain—for obtaining information on the unknown quantities subject to uncertainties in the measurement model. This is especially important when there is a limited budget for collecting actual measurement data. This minisymposium showcases recent theoretical and computational developments to overcome the major challenges encountered in problems arising within this field.
  • Organizer(s) : Claudia Schillings, Vesa Kaarnioja
  • read more about [00410]

[00413] Numerical Methods for Dispersive PDEs and Applications

  • Abstract : Dispersive partial differential equations $\left({\rm PDEs}\right)$ play a fundamental role in many fields such as the nonlinear optics, water wave theory, quantum mechanics, etc. From the perspective of computational mathematics, it is significant to design efficient numerical methods to solve dispersive PDEs with in-depth numerical analysis and provide an intuitive view for physical phenomena. The proposed minisymposium invites experts in this field to review recent advances in numerical methods for dispersive PDEs and applications.
  • Organizer(s) : Weizhu Bao, Yue Feng
  • read more about [00413]

[00418] Nonlinear PDE: beyond the well-posedness theory

  • Abstract : The theory of nonlinear partial differential equations (PDEs) is of fundamental importance in mathematical analysis, and through recent developments, it has reached a stage where some difficult and important questions beyond the well-posedness theory can be fruitfully addressed. The aim of this session focuses on a large class of nonlinear PDEs particularly related to Hamilton-Jacobi equations, level-set mean curvature flow equations, mean field games, and reaction diffusion equations, and brings experts to give a constructive and inspiring reflection on the state of the literature surrounding such equations, which will boost some further research in related areas.
  • Organizer(s) : Hiroyoshi Mitake, Hung Vinh Tran
  • read more about [00418]

[00420] Painlevé equations, Applications, and Related Topics

  • Abstract : Recently, problems arising in statistical and probabilistic models with an underlying integrable
    structure have been found to possess deep links to continuous and discrete Painlevé equations.
    The theory of Painlevé equations has therefore come to play an increasingly important role in the
    study of such problems. The way in which Painlevé equations appear, and the types of equations
    that appear in these problems pose deep questions on the side of the theory of Painlevé equations.
    This mini-symposium aims to bring together experts both in Painlevé equations and the broad
    range of problems in which they appear, and illustrate this interplay.
  • Organizer(s) : Anton Dzhamay, Alexander Stokes, Tomoyuki Takenawa, Ralph Willox
  • read more about [00420]

[00421] When random comes to the rescue of numerical computation

  • Abstract : The need of efficient IA and deep learning applications has impulse a new way of performing floating-point computations based on low precision representation formats and their corresponding hardware support.
    Among the peculiarity raised is the need of operators, analyses, methodologies, and tools to estimate accuracy needs, overcome unwanted behaviors such as stagnation (numerical loss during sequences of tiny updates) and optimize performance.
    In this minisymposium, we will focus on a few aspects of randomization in numerical computation, covering its advantages for IA applications, probabilistic error analysis, variant of stochastic rounding mode and the detection of numerical abnormalities and precision analysis.
  • Organizer(s) : David DEFOUR
  • read more about [00421]

[00426] Variational methods for thin structures and free-boundary problems

  • Abstract : Thin structures are classically studied using variational methods and PDEs, and they may be described both by surfaces and by free interfaces. On one hand, surfaces appear for modeling soap films and biological membranes minimizing suitable energy functionals, like area and Canham-Helfrich functionals. On the other hand, free interfaces separate a domain whose boundary is free: it is not known a priori and it depends on the solution of a PDE. Such a free-boundary problems naturally arise in many different models in Physics and Engineering, like for instance the Bernoulli one-phase problem.
  • Organizer(s) : Giulia Bevilacqua, Luca Lussardi
  • read more about [00426]

[00432] Empirically Driven Deep Learning Theory

  • Abstract : Deep learning has become increasingly popular recently due to its superior performance on a variety of tasks. However, understanding the mathematical foundations of deep networks is challenging because they are highly parameterized and built using complex computational heuristics.This session features recent works in mathematical deep learning theory based on empirically-driven, phenomenological approaches: the works first reveal prevalent phenomena observed across multiple deep learning settings; then, they propose new mathematical explanations for these phenomena. These mathematical results give important insights into the generalization of deep nets, the efficiency of their optimization, and their robustness to adversarial noise and data imbalance.
  • Organizer(s) : X.Y. Han, Weijie Su
  • read more about [00432]

[00435] Multiscale Numerical Methods for Complex Fluids

  • Abstract : Focus of this mini-symposium will be on the modelling and computational aspects of multiscale coupling strategies and hybrid techniques -continuum, mesoscopic, atomistic- specifically applied to complex fluids, such as colloidal suspensions, granular media, polymeric systems and/or multiphase flows. The goal is, on one hand, to share state-of-the-art results on multiscale approaches in fluids, on the other to discuss technical issues on their computational modelling. We believe that this mini-symposium will foster new collaborations and contribute to further advances in the field.
  • Organizer(s) : Giulio Giusteri, Takashi Taniguchi, Marco Ellero
  • read more about [00435]

[00436] Coupled dynamical systems: from data analysis to biomathematics

  • Abstract : This minisymposium presents recent results in the study of coupled systems, from small groups of elements (neurons, cardiomyocytes, chemical reactions, and so on) to large ones. We propose different lines of study from data analysis techniques to dynamical systems theory approaches to deal with these problems from isolated systems to coupled systems .
  • Organizer(s) : Roberto Barrio, Hiroyuki Kitajima, Valeriy Makarov, Ivan Tyukin
  • read more about [00436]

[00437] Climate Risks: From Modelling to Applications

  • Abstract : There is an increasing awareness of the urgency required to combat climate change and environmental pollution from central governments, researchers, and the industry around the world. Over 130 countries have committed to carbon neutrality targets in various forms, representing approximately 80% of the world population and 90% of the world’s GDP. This shift in public attention is particularly relevant to our economic and financial systems in several aspects. This minisymposium discusses how to model and measure climate risks, their implications for corporate decisions, credit risks, and supply chain risks, how to green investing, and how to regulate the climate emissions market. Overall, these progresses allow researchers, regulators, and other stakeholders to improve their insights into the climate transitional risk to the economy, which will enable society to design policies and strategies to help allocate resources for carbon-neutral goals.
  • Organizer(s) : Emmanuel Gobet, Ruixun Zhang, Florian Bourgey
  • read more about [00437]

[00441] Intersection between financial economics and optimal control

  • Abstract : Optimal control is widely applied to understand strategic behavior of agents in financial economics. For example, an investor or a household makes investment and consumption decisions, a firm decides production, investment, and financing policies. Optimal control helps to understand these problems in a random environment facing constraints, risk, and uncertainties. Meanwhile, financial applications motivate new forms of control problems. This mini-symposium presents the latest developments in the applications of optimal control in financial economics.
  • Organizer(s) : Scott Robertson, Hao Xing
  • Sponsor : This session is sponsored by the SIAM Activity Group on Financial Mathematics and Engineering.
  • read more about [00441]

[00444] Complex Systems: Advances in Theory and Applications

  • Abstract : Many social, biological, and technological networks display non-trivial features, with complicated structures patterns of connection. Well-known classes of complex networks are scale-free and small-world networks. The study of complex networks is growing and many new aspects of network structures attract attention in mathematics, physics, electric power systems, biology, climate, computer science, sociology, epidemiology, and others. There is also a wide range of practical issues including Coupled networks and cyber-physical networks; Networked control; Multi-agent systems: Synchronization phenomena; Complex engineering design, including communication networks, power grids, electronic circuits, biomedical systems, software systems; Biological systems, neural networks, disease transmission.
  • Organizer(s) : Maciej Ogorzalek
  • read more about [00444]

[00448] Particle based methods

  • Abstract : Predictions of the state or parameter of a system of interest that is subject to some type of stochastic noise are typically achieved by estimating the associated density. Yet this approach becomes highly challenging for extended state and parameter spaces and if the unknown density is non-parametric. State of the art methods are designed to use a Monte Carlo type empirical estimation often referred to as an ensemble or particle filter. Here we will explore theoretical and algorithmic advances of these methods in the context of data assimilation and classical inverse problems.
  • Organizer(s) : Matei Hanu, Jana de Wiljes
  • read more about [00448]

[00449] Atomistic simulations in the exascale era

  • Abstract : The world’s very first exascale computer has finally arrived. The first generation of exascale machines will predominantly rely on hybrid architectures where massive numbers of CPUs, GPUs, and specialized hardware accelerators, coexist. Realizing the full potential of such architectures is a formidable task that requires an in-depth rethinking of current approaches. In this mini-symposium, we address the challenges faced by computational materials and chemical science communities. We specifically explore novel techniques, algorithms, and methodologies that can extend the time and length scales of atomistic simulations using exascale hardware.
  • Organizer(s) : Joshua Finkelstein, Danny Perez, Emanuel Rubensson, Tony Lelièvre
  • read more about [00449]

[00455] Recent Development of Theory and Algorithms of Scientific Machine Learning

  • Abstract : The “unreasonable effectiveness” of deep learning for massive datasets posed numerous mathematical and algorithmic challenges along the path towards gaining deeper understandings of new phenomena in machine learning. This minisymposium aims at bringing together applied mathematicians interested in the mathematical aspects of deep learning, with diverse background and expertise to modeling high-dimensional scientific computing problems and nonlinear physical systems; the talks reflect the collaborative, multifaceted nature of the mathematical theory and applications of deep neural networks.
  • Organizer(s) : Chunmei Wang, Haizhao Yang
  • read more about [00455]

[00462] Mathematical and applicable studies on quantum walks

  • Abstract : Eigenvalue problems for matrices and spectral theory for unitary operators and self-adjoint operators are important research area of quantum walks. In fact, spectra of time-evolution operators of quantum walks determine the dynamics of quantum walkers. In this minisymposium, we are going to have eight talks on the scattering and the spectral theory for quantum walks as well as eigenvalue problems on quantum walks on finite graphs and related topics. Some of them are going to introduce studies of quantum walks in view of theoretical physics and laser engineering.
  • Organizer(s) : Hisashi Morioka, Etsuo Segawa
  • read more about [00462]

[00465] Linear and Non-linear Approximation of Curves and Surfaces

  • Abstract : Approximation techniques are used in problems in which it’s required to find
    unknown functions from a set of known data. This problem appears in physics (solution of hyperbolic PDEs), medicine (medical imaging treatment) or topography (Digital Elevation Models) etc.

    Reconstruction based on linear schemes, like splines, have proved to be useful in different application (DEM). However they become ineffective for approximating piecewise smooth functions (shocks in solution of hyperbolic PDEs) or edge-dominated images. For such families, nonlinear schemes may improve the approximation performance.

    This MS brings together researchers from the two different communities, with the aim to generate scientific dialogue.

  • Organizer(s) : Francesc Aràndiga
  • read more about [00465]

[00467] Volatility modeling in finance

  • Abstract : Volatility is the single most important factor driving the dynamics of financial assets. Volatility modeling has been a very active field of research in the past years. Recent developments include in particular rough volatility, path-dependent volatility, including signature models, as well as designing models that jointly calibrate to S&P 500 and VIX options. This minisymposium aims to present in one place, compare, and bridge different new approaches on volatility modeling. It is our hope that fruitful ideas and collaborations can emerge from it.
  • Organizer(s) : Julien Guyon
  • Sponsor : This session is sponsored by the SIAM Activity Group on Financial Mathematics and Engineering.
  • read more about [00467]

[00468] Stochastic Modelling in Finance

  • Abstract : The mini-symposium is devoted to the recent developments in stochastic modelling in finance. It will include stochastic modelling of big data in finance, portfolio optimization problems in incomplete stochastic volatility financial markets, driven by both Brownian motion and a jump processes, as well as a Heston 1/2 component and a 3/2 component the state-of-the-art 4/2 stochastic volatility models, and also new modelling involving Parrondo’s paradox and its financial applications.

  • Organizer(s) : Anatoliy Swishchuk
  • read more about [00468]

[00471] Recent Advancements in Electrical Impedance Tomography

  • Abstract : Electrical impedance tomography is an imaging modality based on solving the inverse conductivity problem, in which known boundary voltages and currents are used to reconstruct information about an object’s interior. The inversion process is known to be both highly nonlinear and highly ill-posed, and thus provides researchers with an ongoing wealth of interesting problems. The cutting edge of research in EIT includes both theoretical and computational developments, and is relevant to a wide variety of medical and industrial applications. This minisymposium will gather leading experts in EIT along with young researchers to share their new results and insights.
  • Organizer(s) : Melody Alsaker, Samuli Siltanen
  • read more about [00471]

[00475] Variational methods and periodic solutions in the n-body problem

  • Abstract : The n-body dynamics have been studied by many prominent mathematicians and physicists for centuries. With the developments of mathematical and computational tools, there has been exciting progress during the past two decades. This progress includes variational approaches, stability, chaotic phenomenon, integrability, central configurations, solar system, space mission designs, and planetary formations, among many others. In this minisymposium, we aim to provide a forum for researchers to share the latest developments and exchange ideas.
  • Organizer(s) : Mitsuru Shibayama
  • read more about [00475]

[00479] Advances in clinically-driven AI image reconstruction and processing

  • Abstract : The application of Artificial Intelligence methods, particularly in medical imaging, attracts huge interest from the mathematics and computer science community. Often, AI-based methods provide solutions surpassing image quality metrics compared to traditional methods. However, it’s not always obvious if improved image quality metrics necessarily translate to improved clinically-relevant questions such as diagnosis and prognosis. This minisymposium focuses on applied AI methodologies that are clinically-oriented and incorporate direct measures and uses of clinical metrics in the learning or evaluation sections. We will cover topics including advances in model-based learned reconstruction, AI-based inverse problems, regularisation, generative models and their clinical applications.
  • Organizer(s) : Ander Biguri, Lorena Escudero
  • read more about [00479]

[00484] Matrix Analysis and Applications

  • Abstract : The goal of the minisymposium is to stimulate research and foster interaction of researchers. It scope includes any topics in matrices and their applications. Matrix analysis is widely used in mathematics with applications in control and systems theory, image processing, operations research, scientific computing, statistics, and engineering. This minisymposium has multiple sessions which provide an opportunity for researchers to exchange ideas and recent developments in this active area of research. Participants are from Canada, China, Japan, Macau, Norway, Pakistan, Portugal, Singapore, South Korea, and USA.
  • Organizer(s) : Luyining Gan, Tin-Yau Tam, Qing-Wen Wang, Yang Zhang
  • read more about [00484]

[00488] Eigenvector-Dependent Nonlinear Eigenvalue Problems: Theory, Algorithms and Applications

  • Abstract : Nonlinear eigenvalue problems fall into two major categories
    in terms of eigenvalue-dependency or eigenvector-dependency,
    short-named NEP and NEPv, respectively. NEPv is the next natural
    topic after NEP. The most well-known origin of NEPv is
    from Kohn-Sham density functional theory in electronic structure
    calculations, but most recent sources are various machine learning
    models in the form of optimization on matrix manifolds,
    core-periphery detection in networks, rate-splitting multiple access in
    wireless communication, among others. In this minisymposium, speakers
    will present recent advancements in algorithms, numerical analysis
    and applications of NEPv and discuss emerging challenges.
  • Organizer(s) : Zhaojun Bai, Ren-Cang Li, Ding Lu
  • read more about [00488]

[00496] Recent development in Quantum Simulation and Stochastic Methods

  • Abstract : This mini-symposium aims to bring together mathematicians and scientists working on quantum simulation and related topics to exchange ideas and share recent results. It highlights how the recent developments in computational tools, such as stochastic methods, quantum computing, fast algorithms, etc., make the simulation of large-scale or multiscale quantum systems feasible and thus expand the scope of quantum simulation. It also serves as a platform for presenting challenging quantum problems, which still call for novel methodologies to alleviate simulation costs.
  • Organizer(s) : Lihui Chai, Zhiwen Zhang, Zhennan Zhou
  • read more about [00496]

[00497] Advances in numerical methods for nonlinear optics

  • Abstract : Nonlinear optics is the area of optics that studies the interaction of light with matter in the regime where the response of the material system to the applied electromagnetic field is nonlinear in the amplitude of this field. Here, we are concerned with numerical modeling of nonlinear optical phenomena. Of particular interest to this minisymposium are recent advances on general numerical methods such as finite difference methods, finite element methods, discontinuous Galerkin methods, etc. that have been tailored to the mathematical models of nonlinear optics with emphasis on achieving high order accuracy, adaptivity and efficient handling of multiscale features.
  • Organizer(s) : Vrushali A. Bokil, Camille Carvalho, Stéphane Lanteri, Claire Scheid
  • read more about [00497]

[00498] Approximation and modeling with manifold-valued data

  • Abstract : Application problems that involve data on differentiable manifolds are at the interface of numerical analysis and differential geometry. Researchers approach such tasks for various reasons: some make general efforts to transfer established methods from the Euclidean setting to nonlinear manifolds. Others are motivated by a specific application that requires one to work with manifold data.
    This minisymposium aims at bringing together researchers working on approximation and modeling problems on Riemannian manifolds. A particular focus is on interpolation methods and applications in model reduction.
    We aspire to create synergies and bridge the gap between different communities in this fascinating research field.

  • Organizer(s) : Nir Sharon, Ralf Zimmermann
  • read more about [00498]

[00505] Structured matrices with applications in sciences and engineering

  • Abstract : The main purpose of this MS is to present recent developments on some special structured matrices that are of interest in different areas of mathematics, as well as in more applied areas like operations research, social sciences and computation. Problems arising in these fields are considered and techniques from matrix theory, numerical linear algebra and combinatorics, among others, are explored to solve them.
  • Organizer(s) : Susana Furtado, Natália Bebiano
  • read more about [00505]

[00506] Inverse Problems for Anomalous Diffusion

  • Abstract : Anomalous diffusion has received a lot of attention recently due to its extraordinary capability for describing nonstandard diffusion processes arising in multiple physical sciences and engineering. The relevant mathematical models often involve a fractional-order derivative in time or space. The nonlocality of the model substantially changes the analytical behaviour of the mathematical models when compared with the standard counterpart. This has also big impact on the behaviour of related inverse problems, which has witnessed many exciting and important developments in the last few years. In this mini-symposium, we aim at gathering researchers working on the topic to discuss recent advances on mathematical and numerical analysis of inverse problems for anomalous diffusion, in order to further promote the developments of the topic.
  • Organizer(s) : Bangti Jin, Zhi Zhou
  • read more about [00506]

[00507] Stochastic Dynamical Systems and Applications

  • Abstract : The objective of this special minisymposium is to bring together experts from multiple disciplines with complementary views and approaches to stochastic dynamics in the context of applications. The topics include but not limited to: Theoretical advances in stochastic dynamical systems and stochastic partial differential equations, connection with non-equilibrium statistical physics, non-Gaussian noise and nonlocal partial differential operators, dynamical indicators for phase transition and abrupt change, most probable transition pathways and early warning time, tools for predicting rare events or extreme events, machine learning tools for examining stochastic dynamics, multi-scale stochastic simulation algorithms, multiscale multiphase flow simulation and homogenization problems.
  • Organizer(s) : Yanjie Zhang
  • read more about [00507]

[00509] Recent developments in stochastic optimization

  • Abstract : Optimization problems involving stochastic models or randomized
    algorithms are at the core of various applications areas such as
    machine learning, finance, energy production, signal processing,
    telecommunications, and medical imaging. Modern applications
    involve complex models and large dimensions. They require
    sophisticated analysis and algorithmic tools to obtain efficiently
    reliable solutions. This minisymposium will feature several
    advances illustrating the fertile interface between stochastic
    analysis and optimization through talks presented by junior and
    senior researchers. It will cover theoretical advances, as well as
    practical applications in finance, optimal control, inverse
    problems, optimal transportation, and petroleum production.
  • Organizer(s) : Patrick L. Combettes
  • read more about [00509]

[00517] Numerical Modelling of Highly Flexible Structures for Industrial Applications

  • Abstract : Highly flexible slender structures like yarns, cables, hoses or ropes are essential parts of high-performance engineering systems. The complex response of such structures in real operational conditions is far beyond the capabilities of current modelling tools that are at the core of modern product development cycles. The European Training Network THREAD, see, addresses this problem class by novel methods for modelling and numerical simulation and their application in medical engineering, ropeway system design, civil engineering and automotive industry. Three groups of the THREAD network report on modelling aspects and tailored geometric time integration methods in these fields of application.
  • Organizer(s) : Martin Arnold, Sigrid Leyendecker, Dejan Zupan
  • read more about [00517]

[00521] Recent advances on non-convex optimization in inverse problems, imaging and machine learning

  • Abstract : Non-convex optimization has become increasingly important for modern data science applications, with many unsolved challenging open problems. Due to the absence of convexity, the well- developed paradigms convex optimization cannot be fully extended here, leading to the current situation that the theory of non-convex optimization is way behind the practice. In this mini-symposium, we focus on recent advances in non-convex optimization, including the analysis and understanding of the fundamental nature of the non-convex optimization, algorithmic bias/implicit regularization of gradient-based algorithms, fast convergent algorithms in non-convex problems, and their applications in inverse problems, imaging and machine learning and many others.
  • Organizer(s) : Guoyin Li, Jingwei Liang, Junqi Tang
  • read more about [00521]

[00523] Implicit methods for hyperbolic problems and their extensions and applications

  • Abstract : Hyperbolic partial differential equations and their numerical solutions play an important role in several fields of applied mathematics. Many interesting applications of related PDEs are stiff in nature, so implicit time discretizations with enhanced stability properties are good candidates for their numerical solution. The minisymposium shall discuss important aspects of such methods like higher order accuracy, non-oscillatory behavior, well-balancing, asymptotic-preserving, efficient solvers, and combinations with explicit schemes.
  • Organizer(s) : Peter Frolkovič, Pep Mulet, Carlos Parés
  • read more about [00523]

[00524] Lie Symmetries, Solutions and Conservation laws of nonlinear differential equations

  • Abstract : This mini-symposium is devoted to all research areas that are related to nonlinear differential equations and their applications in science and engineering. The main focus of this mini-symposium is on the Lie symmetry analysis, conservation laws and their applications to ordinary and partial differential equations. These differential equations could originate from mathematical models of diverse disciplines such as architecture, chemical kinetics, civil engineering, ecology, economics, engineering, fluid mechanics, biology and finance. Other approaches in finding exact solutions to nonlinear differential equations will also be discussed. This includes, but not limited to, asymptotic analysis methodologies, bifurcation theory, inverse scattering transform techniques, the Hirota method, the Adomian decomposition method, and others.
  • Organizer(s) : Chaudry Masood Khalique
  • read more about [00524]

[00528] High order and well-balanced methods and stability analysis for non-linear hyperbolic systems

  • Abstract : Many complex physical phenomena may be modeled by means of non-linear hyperbolic systems. When approximating such systems, one requires the use of efficient, accurate and stable numerical schemes. On the one hand, the use of high-order methods will be necessary in order to reduce the numerical diffusion inherent to the numerical approach. On the other hand, it is common for these systems the existence of some particular steady-state solutions that should be preserved, which will need the use of a well-balanced scheme.The goal of this mini-symposium is the discussion and presentation of state-of-the-art computational and numerical methods of high-order well-balanced schemes with applications to hyperbolic systems.
  • Organizer(s) : Tomas Morales de Luna, Ernesto Guerrero-Fernandez
  • read more about [00528]

[00529] Numerical approximation of geophysical flows

  • Abstract : Hyperbolic PDE systems naturally appear in many real-world applications, particularly in geophysical flow models. They are of essential importance for understanding natural phenomena and for their prediction.This mini-symposium focuses on geophysical flows with a particular interest in the shallow water framework and related applications such as sediment transport, tsunami hazards, and viscoplastic flows.

    The objective will be to discuss and presents new trends in computational and numerical methods for shallow flows and their applications.

  • Organizer(s) : Cipriano Escalante, José Garres
  • read more about [00529]

[00533] Recovery and robustness of geometric fingerprints for point clouds and data

  • Abstract : The aim of our mini-symposium is to connect communities interested in the problem of condensing information from a dataset to a less complex geometric/statistical “summary”, sometimes called a fingerprint. We will concentrate especially on, Distance histograms, Persistence diagrams, as well as spectral fingerprints and other geometric fingerprints. Questions relevant to applications, including topics such as resistence or stability to noise/error of a given fingerprint (“robustness” problems), or injectivity of the fingerprint (relevant for “recovery” problems) will be our focus during the minisymposium.
  • Organizer(s) : Mircea Petrache, Rodolfo Viera
  • read more about [00533]

[00534] Topological and geometric data analysis: theory and applications

  • Abstract : In recent decades, topological data analysis “TDA” and geometric data analysis “GDA” have provided great impacts on data science, characterizing valuable information on “shape of data”. In this series of mini-symposia, we present recent progresses of theory and applications of TDA and GDA, including persistent homology, optimal transportation, filling radius, Reeb graph, graph embeddings, flow data analysis, dimensionality reduction, geometric deep learning, Hodge Laplacian, discrete exterior calculus, and their various applications in materials, chemistry, biology, and data sciences.
  • Organizer(s) : Yasuaki Hiraoka, Kelin Xia
  • read more about [00534]

[00538] Mathematical modeling, analysis, and simulation for complex neural systems

  • Abstract : Mathematical neuroscience exploits applied mathematics tools, e.g., modeling, analysis and scientific computing, to understand the structure, dynamics, and function of the brain. Many neuroscience phenomena are intriguing but extremely complicated, with features of high dimensionality, nonlinearity, multi-scale, and complex dynamics. Therefore, developing effective theoretical and computational methods becomes increasingly significant to understand the mechanism underlying neuroscience phenomena, as well as to advance experimental neuroscience. This mini-symposium focuses on novel ideas and advanced approaches in mathematical neuroscience, with an emphasis on prominent neuroscience phenomena including hierarchical structure, oscillatory and attractor dynamics, and functions of learning and memory.
  • Organizer(s) : Songting Li, Douglas Zhou
  • read more about [00538]

[00539] Extreme value theory and statistical analysis

  • Abstract : Huge disasters, such as earthquake and flood occur rarely but their damage is extremely terrible and the countermeasures against them are urgent social task.
    Extreme value theory (EVT) deals with rare events mathematically or statistically and is applied to risk management for not only disasters but also various fields, for example, finance, insurance and life span of industrial products.
    We present 4 researches. Asymptotic theory for extreme value generalized additive model, statistical inference for sample maximum distribution, nonparametric statistical inference related to several economic topics and statistical management for multivariate risk for financial institutions.
  • Organizer(s) : Takaaki SHIMURA
  • read more about [00539]

[00545] Waves in complex and multiscale media

  • Abstract : Characterizing wave propagation in complex and multiple-scale media is important for modelling and simulating the propagation of acoustic, electromagnetic, elastic and water waves in heterogeneous media. This minisymposium demonstrates the ubiquity of mathematical techniques by bringing together researchers from all of these application areas. The talks will illustrate a variety of the current methods and the challenges that remain. The session will represent a cross section of applied mathematics, ranging from applied analysis to large-scale numerical simulation schemes. A central aim of the minisymposium is to promote the exchange of ideas and knowledge between the different application areas.
  • Organizer(s) : Bryn Davies, Luke Bennetts
  • read more about [00545]

[00550] Multi-scale analysis in random media and applications

  • Abstract : A rich variety of models in mechanics are heterogenous and multi-scale in nature, and the derivation of „averaged“ or „effective“ behaviours on large-scales are well-known to be challenging and of particular interest. The complexity of the micro-structure often requires stochastic modeling and advanced methods, combining tools from PDE and probability, to understand and compute such effective properties. The purpose of this mini-symposium is to offer an overview of recent developments on the theory of stochastic homogenization and its applications in several areas of applied mathematics, ranging from fluids mechanics, wave propagation, nonlinear elasticity and statistical mechanics.
  • Organizer(s) : Nicolas Clozeau, Laure Giovangigli, Lihan Wang
  • read more about [00550]

[00552] Homogenization theory and applications

  • Abstract : The aim of this mini-symposium is to overview contemporary theory and applications on homogenization by specialists from various areas.
    Short time behavior of particles in inhomogeneous media may depend on the location of particles, whereas their long time behavior often tends to be homogeneous due to the averaging effects. Such an averaging process is called homogenization.
    Homogenization has been a very active research area in mathematics and applied mathematics for a long time. We invite specialists from several fields, including PDE, probability, analysis and applied mathematics. We exchange ideas and discuss various aspects on homogenization.
  • Organizer(s) : Takashi Kumagai
  • read more about [00552]

[00554] Pattern dynamics appearing in mathematical biology

  • Abstract : Biological phenomenon have promoted the mathematical studies of pattern dynamics, such as Turing’s pattern formation and traveling wave. We will introduce some of the recent progress around this topic which offer new viewpoints. We hope this is going to be the starting point to discuss the future perspective.
  • Organizer(s) : Chiun-Chuan Chen, Yoichiro Mori, Hirokazu Ninomiya, Toshiyuki Ogawa
  • read more about [00554]

[00555] Advanced Numerical Methods for PDEs with Applications

  • Abstract : Numerical modeling and algorithms are fundamental building blocks in computational science and engineering that provide accurate and efficient solution methods to the model equations. As applications become more complex, the model equations become more difficult and sophisticated. New and efficient numerical techniques are hence needed to solving the physical equations. The goal of this mini-symposium is to present the recent developments of computational methods for applications. The topics include numerical methods for PDEs, fast solvers, adaptive methods, and software developments. The mini-symposium will emphasize both the design and analysis of numerical algorithms as well as applications in science and engineering.
  • Organizer(s) : Justin Wan, Lilia Krivodonova
  • read more about [00555]

[00558] Bifurcations, periodicity and stability in fluid-structure interactions

  • Abstract : This minisymposium connects rigorous mathematical theory with empirically observed time-periodic phenomena arising in fluid-structure interactions. Scenarios of interest include: aeroelastic resonances and flutter instabilities, e.g., bridge deck and flight-structure instabilities, and nonlinear phenomena such as von Karman vortex sheets, and the various approaches which have been developed such as spectral analyses and theories of weak solutions. Theoretical advances are complemented by progress in numerical simulation. We facilitate the connections between experts of various mathematical backgrounds for the development of new strategies exploiting the interplay between different approaches. Lastly, we wish to emphasize open problems in this challenging and exciting area.
  • Organizer(s) : Boris Muha, Sebastian Schwarzacher, Justin Webster
  • read more about [00558]

[00559] DNB Theory and its Applications

  • Abstract : The concept of dynamical network biomarker (DNB) was proposed to provide early-warning signals of diseases on the basis of co-dimension 1 local bifurcation in 2012, and then is widely used in various topics and fields of biology and medicine, e.g. dynamical analyses of biological processes in biology and disease prediction/early-diagnoses in medicine. The DNB is a novel type of biomarkers to identify the critical state during disease progression, which quantifies biological systems from a dynamical and network viewpoint, thus providing reliable information on early-warning signals before onset of complex diseases. Many DNB methods as well as applications have been developed. The DNB theory with big biological data is expected to lead to ultra-early precision and preventive medicine. This symposium addresses but not limited to the recent development of theory, methodology and application of DNB in a variety of scientific areas.
  • Organizer(s) : Kazuyuki Aihara, Luonan Chen
  • read more about [00559]

[00563] PDE’s on Mathematical Physics and Biology

  • Abstract : This minisymposium will be focused on different models concerning mathematical biology and mathematical physics, both from an analytical and applied point of view.
    In the first part, we will give an overview on different problems in population dynamics, such as invasion, spreading of populations and living in regions or in graphs.
    The second part will deal with problems involving the Schrödinger operator, coming from mathematical Physics. Precisely, it will be discussed results such as existence of ground state solutions and stability of solutions.
  • Organizer(s) : Pablo Álvarez-Caudevilla, Cristina Brändle, Eduardo Colorado, Tatsuya Watanabe
  • read more about [00563]

[00570] Title: Machine Learning and Statistical Approaches for PDE Based Inverse Problems in Imaging

  • Abstract : In recent years, there is tremendous growth in machine learning and statistical approaches to solve inverse problems involving PDEs. This mini symposium will explore ideas both theoretical and computational to advance understanding of the convergence, consistency, and numerical algorithms to solve PDE based inverse problems. We will focus on inverse problems with applications to imaging including Electrical Impedance Tomography, Diffuse Optical Tomography. The mini symposium is expected to bring experts from theory, computation, and practice to bridge the gap between these areas.
  • Organizer(s) : Department of Mathematics and Statistics, University of North Carolina at Charlotte, USA
  • read more about [00570]

[00571] Mathematics in biological pattern formation: modeling, analysis, and applications

  • Abstract : This mini-symposium will focus on recent advances in mathematical modeling and analysis of pattern formation problems related to biology. Mainly, we will discuss how to explain pattern formation through the analysis of the evolution equations such as ODE and PDE, which are modeled to fit the context of the biological phenomena. In this mini-symposium, we will invite researchers working on different types of model equations, such as particle systems, reaction-diffusion systems, and Fokker-Planck equations, to introduce a variety of approaches to pattern formation problems in biology.
  • Organizer(s) : Shin-Ichiro Ei, Hiroshi Ishii
  • read more about [00571]

[00573] Emerging Methods for Shape- and Topology Optimization

  • Abstract : Shape and topology optimization has seen considerable progress in multiple areas recently, in particular in regards to the understanding of non-smoothness and higher order methods. A driving problem class for these new developments have been inverse and reconstruction problems. The goal of this mini-symposium is to bridge the gap between these developments and connect new algorithmic developments with applications.To this end, the first session focuses on the progression from non-smooth shape optimization problems over Quasi-Newton methods to H^1 and H^2 schemes, while the second part focuses on novel applications and emerging new areas of shape and topology optimization.
  • Organizer(s) : Stephan Schmidt, Roland Herzog
  • read more about [00573]

[00574] Recent Progress on Stochastic Analysis, Control, and their Applications

  • Abstract : This minisymposium features new developments in stochastic analysis, control, and their applications. The invited speakers will be presenting results on impulse control with discontinuous setup costs, deep learning approach for optimal control, optimal control problem for regime-switching processes, and feedback control for switching diffusion systems based on discrete time observations in the first session. The second session will be focused on exponential stability and weak stability of stochastic functional differential equations with impulsive perturbations and a two-time-scale formulation as well as McKean-Vlasov stochastic differential equations. It is anticipated that this minisymposium will help to exchange ideas and stimulate further collaborations.
  • Organizer(s) : Chao Zhu
  • read more about [00574]

[00575] Factors and Cycles

  • Abstract : Factors and cycles are well established subjects in the field of graph theory. They are basic and fundamental problems: for a given graph $G$, taking a regular graph as a spanning subgraph of $G$. On the other hand, factors and cycles have several applications in contexts including error correction coding theory, scheduling problems, wireless networking, and many others.Regardless of efforts by mathematicians, there are many problems on factors and cycles which are not solved yet. This minisymposium intends to bring pioneer researchers to present their very recent discoveries on factors, cycles and related topics.
  • Organizer(s) : Shoichi Tsuchiya
  • read more about [00575]

[00580] Mathematical Challenges in Current and Future Location Estimation Systems

  • Abstract : Location-estimation systems, and in particular Global Navigation Satellite Systems (e.g. GPS), are mature and ubiquitous. Many aspects of modern life are today completely dependent on these systems. However, deriving additional benefits (higher accuracy, resilience to jamming and spoofing) from existing systems and building future systems to fill application gaps require addressing challenging mathematical and computational problems. These challenges revolve around difficult nonconvex optimization problems, some with integer parameters, and some in high dimensions. Effective solutions require a combination of state-of-the-art mathematical tools with application-specific insights. The minisymposium will present both challenges and recent progress towards their solution.
  • Organizer(s) : Sivan Toledo, Xiao-Wen Chang
  • read more about [00580]

[00581] Analysis, Methods and Applications in Complex Materials

  • Abstract : Materials modeling and simulation is essential in underpinning the discovery and synthesis of new materials and chemicals with novel functionalities in various key areas like energy and biomedicine. Materials science provides a rich source of problems in computational mathematics. Meanwhile, mathematicians are crucial to address fundamental questions with a solid theoretical foundation. The overarching goal of this minisymposium is to promote academic exchanges and collaborations among researchers working in the exciting and rapidly developing field of mathematics in materials science, especially focusing on the mathematical theory in complex materials as well as the applications of state-of-art machine-learning techniques.
  • Organizer(s) : Xiaoxu Li, Yangshuai Wang
  • read more about [00581]

[00584] Advanced Methods for Structured Eigenvalue Problems and Nonlinear Equations

  • Abstract : Structured eigenvalue problems and nonlinear equations arise from many applications including 3D phononic crystals, medical image processing and phase retrieval. Their structure reflects certain physical properties that need to be preserved during calculations, posing a huge challenge for computational scientists. In recent years, many new methods and algorithms have been achieved, such as Jacobi–Davidson type algorithms, Newton-Noda iteration, GPR parameter prediction method, and multi-symplectic block-Lanczos methods. And theoretical analysis receives new progress on generalized orthogonal flow, nonlinear energy minimization and Davis-Kahan theorem. In this minisymposia, the invited speakers will present their recent advances about such interesting subjects.
  • Organizer(s) : Zhigang Jia, Yanfei Jing, Yuan Lei, Tiexiang Li
  • read more about [00584]

[00586] Challenges for Attaining High-performance in Numerical Software

  • Abstract : The architectures of the existing top performing systems are undeniable complex, building upon multi-core units and proprietary interconnects, with very high levels of parallelism. These features pose many challenges to numerical library and application developers. In addition, accuracy of numerical computations, which can be an issue for conventional (e.g., BLAS) or complex algorithms (e.g., eigensolvers), should be concerned. In this minisymposium will discuss recent work on Automatic tuning (AT) by using expandable AI, novel approaches for accuracy verification, and iterative eigensolvers that do not enforcing orthogonality on the iterates thus reducing communication.
  • Organizer(s) : Takahiro Katagiri, Osni Marques, Toshiyuki Imamura
  • read more about [00586]

[00587] Recent Advances in Numerical Methods for Nonlinear Hyperbolic PDEs

  • Abstract : Numerically solving hyperbolic systems of conservation and balance laws is a challenging task as their solutions may
    develop extremely complicated nonsmooth structures. The number of applications in which such systems arise keeps
    increasing and most of the existing methods have their restrictions and disadvantages. Therefore, it is extremely
    important to develop new, highly accurate, stable, and robust numerical methods. The mini-symposium will focus on
    recent developments in this field of research and will bring together researchers from different countries and provide
    an opportunity for in-depth scientific discussion and exchange of ideas on the development, analysis, and applications
    of modern methods.
  • Organizer(s) : Alina Chertock, Alexander Kurganov
  • read more about [00587]

[00589] Computational Biomedical Physics and Mechanics

  • Abstract : Computational methods play a fundamental role in modern science and health research. This symposium is aimed to provide a platform to get computational experts to share recent simulation efforts in areas of biomedical physics and mechanics. The topics include but are not limited to biomedical fluid dynamics, treatment planning and computational surgery, anatomical modeling from medical imaging, multi-physics modeling of biological processes, medical acoustics applied to hyperthermia and focused ultrasound therapy, ion channels/transporters study by continuum models, kinetic models and molecular dynamics.
  • Organizer(s) : Tzyy-Leng Horng, Maxim Solovchuk
  • read more about [00589]

[00592] Optimization and Inverse Problems

  • Abstract : In an inverse problem, we want to come up with a good description of a phenomenom from bad measurements. Industrial-scale inverse problems include, in particular, medical and biological imaging, structural health monitoring, and process monitoring. Generally the inverse problem takes the form of an ill-posed operator equation, linear or nonlinear. To solve such a problem, often the problem is given a variational formulation to which regularisation is added to promote desirable solution features. The solution of the inverse problem then becomes dependent on efficient optimisation methods. The talks in this minisymposium cover recent research in the area. They present general-purpose optimisation algorithms and numerical techniques, and the application of such methods to inverse problems.
  • Organizer(s) : Tuomo Valkonen, Elena Resmerita
  • read more about [00592]

[00593] Advances in Nonlinear Dynamics

  • Abstract : The aim of dynamical systems theory is to understand the long term behavior of large sets of initial conditions, often
    for highly nonlinear models coming from realistic application problems. Due to the importance of nonlinear models, numerical calculations have long played an important role. In this session we bring together experts to discuss problems at the frontiers of our understanding. Some talks will focus on new computational methods, some on attempts to understand more and more realistic models, and some on theoretical issues which inform our approach to computational dynamics.
  • Organizer(s) : Evelyn Sander, Jason Mireles James
  • read more about [00593]

[00595] Combinatorial topological dynamics

  • Abstract : Recent years have seen the rapid development of topological data analysis. Via combinatorial modeling of space, TDA enables the study of the geometry of data using persistent homology. In particular, it may be used to analyze the phase space of a sampled dynamical system, thereby providing a static image. To get a dynamic view, a better understanding of classical topological tools in dynamics in the context of data is needed. The aim of this session is to bring together researchers from TDA and dynamical systems to study dynamic aspects of data via topological tools, in particular Morse and Conley theory.
  • Organizer(s) : Konstantin Mischaikow, Marian Mrozek, Thomas Wanner
  • read more about [00595]

[00598] Hyperplane arrangements and enumerative problems

  • Abstract : Hyperplane arrangements appear in many areas of mathematics, including topology, combinatorics, algebraic geometry. One of the important aspects is that hyperplane arrangements have several discrete structures e.g., poset of intersections, chambers, lattice points. Enumerations of these objects play crucial roles in many problems, e.g., enumerative problems, coding theory. In this minisymposium, we focus on enumerative aspects of these objects.
  • Organizer(s) : Masahiko Yoshinaga, Norihiro Nakashima
  • read more about [00598]

[00603] Mean field stochastic control problems and related topics

  • Abstract : Mean-field (or, McKean-Vlasov) SDEs have been studied for a long time and have found lots of applications in different domains. Recently, with their pioneering seminal papers (2006-2007) on mean-field games and their applications in economics, finance and game theory, Lasry and Lions have given new impulses to this research topic, opened the way to new applications and attracted lots of researchers to this topic. One of these applications is the study of mean-field stochastic optimal control problems. In our symposium we will study the viability property for controlled mean-field flows, the mass-conserving SPDE coming from spatial mean-field term, etc.
  • Organizer(s) : Juan Li
  • read more about [00603]

[00604] Frontiers of Collaboration with Industry: Towards International Mathematical Commons

  • Abstract : This mini-symposium introduces the forefront of various organizational initiatives aimed at mathematical research and educational institutions around the world using the power of mathematics for solving industrial problems, including activities to provide a basic environment and to promote the building of relationships with industry. By sharing not only the outputs but also various issues and solutions conducted through these activities with participants, we expect to contribute to the formation of an international platform, a mathematical common, where mathematicians, together with industry, can overcome the myriad of difficulties our society must confront.
  • Organizer(s) : Kenji Kajiwara, Takashi Sakajo, Hiroshi Suito
  • read more about [00604]

[00605] Recent advances in theory and application of quantum computing technology

  • Abstract : There are great expectations for quantum computing, and various efforts are being made to develop its hardware and software.
    However, its scale is currently inferior, and the discrepancy is enormous compared to the high-performance computing (HPC) field.
    Quantum annealing also still has many challenges in its application to practical problems.
    Basic research on quantum computers is expected to develop further in the future.
    In this minisymposium, we present research on quantum computing technology, especially the theory and practice of quantum annealing.
    The implementations of quantum annealing will be covered both quantum annealers and quantum-inspired annealers.
  • Organizer(s) : Tomohiro Suzuki
  • read more about [00605]

[00607] Analysis and computation of interface evolution equation and related topics

  • Abstract : Analyzing and computational methods for interfacial motion including some singularities or topological changes has been continued to develop and applied to various fields. Recently, these methods are extended to the problems with strong singularity and constraint, nonlocal evolution law, or coupling system and other phenomena. In these developments, there has been high demand for fast and accurate computing, and rigorous mathematical analysis of parametric or non-parametric interface motion. This minisymposium will feature the recent developments on modelling, computation and analysis for interface evolution equation involving the above motivation and related topics.
  • Organizer(s) : Takeshi Ohtsuka, Yoshihito Kohsaka
  • read more about [00607]

[00608] Limit behavior and asymptotic properties in fluid mechanics

  • Abstract : The mathematical analysis of problems from fluid mechanics under the passage to certain limits can lead to new insights into the underlying physics and can help to improve numerical implementations. This minisymposium brings together scientists studying such kinds of asymptotic behaviors in different settings. The speakers present their research on homogenization problems and singular limits for fluid models, as well as on long-time and far-field behavior of fluid flows. Bringing together scientists working on these very different kinds of limit problems might create synergies between their approaches that usually differ significantly.
  • Organizer(s) : Thomas Eiter, Florian Oschmann
  • read more about [00608]

[00612] New models and methods for capacity planning and scheduling

  • Abstract : Scheduling theory has received a wide coverage in the literature on operations research and discrete optimization over the last five decades or so, but the literature seems to have reached a “sink” equilibrium with respect to the standard assumptions and parameters to be included in the models. In this symposium we aim to present recent new scheduling models that extend the classic ones, and where the extensions have a direct link with practical operations scheduling in a variety of industries. We focus especially also on computational methods for solving the new models.
  • Organizer(s) : Roel Leus, Norbert Trautmann
  • read more about [00612]

[00615] Nonlinear PDEs & Probability

  • Abstract : The aim of this mini-symposium is to present recent results in analysis and probability with applications to the study of nonlinear PDEs relating to mathematical physics, kinetic theory, and fluid mechanics. This includes questions of regularity and irregularity, stability, and geometric properties of solutions.
 We want to bring together young researchers and specialists to foster scientific exchange and explore new exciting developments in the fields.
  • Organizer(s) : Tatsuya Miura, Tobias Ried, Jonas Sauer
  • read more about [00615]

[00616] Continuous optimization: theoretical and algorithmic trends

  • Abstract : Continuous optimization is one of the main areas in Applied Mathematics. It has
    plentiful applications and rich theory and algorithms. This mini-symposium
    presents recent advances in the area, starting from important theoretical
    aspects of optimality conditions that guide the development of different
    algorithms based on higher order information, like Newton-type and third-order
    algorithms. Many of the methods also exploit the specific structure of the
    underlying application to achieve high performance. Finally, the mini-symposium
    also pays tribute to José Mario Martínez’s influence in the field. The
    contributions can be somewhat linked to his insightful ideas in different
    periods of his career.
  • Organizer(s) : Paulo J. S. Silva, Roberto Andreani
  • read more about [00616]

[00621] Frontiers of Collaboration with Industry: Succeeding through Failure

  • Abstract : Corresponding to the organizational efforts introduced in the mini-symposium “Frontiers of Collaboration with Industry: Towards International Mathematical Commons,” this mini-symposium introduces diverse efforts at practical research activities that engage mathematicians, together with companies, to solve specific problems. With a spirit of collaboration, we aim at sharing with participants some issues and challenges at the forefront of mathematical science research, a collaborative system with companies, and various mathematical ideas for application to problem-solving. Through collaboration between industry and mathematical science, all are intended for the successful resolution of the many issues which must be addressed by our society.
  • Organizer(s) : Takashi Sakajo, Kenji Kajiwara, Hiroshi Suito
  • read more about [00621]

[00622] Inverse Problems and Imaging

  • Abstract : Inverse problems are concerned with determining unknown parameters of interest from indirect, partial, and noisy measurements with the aid of a mathematical model. Such problems are fundamental in biomedical imaging, non-destructive testing, and modern astronomy. Often, these parameters take the form of images rather than scalar or vector-valued parameters, requiring special methods adapted to the distributed structure. The aim of this minisymposium is to gather an active group of researchers working on variational methods for solving inverse and imaging problems, in order to foster increased interaction between these fields and those of applications in science, technology, and industry.
  • Organizer(s) : Christian Clason
  • read more about [00622]

[00624] At the interface between neural networks and differential equations

  • Abstract : Deep neural networks have recently been used to design innovative, and arguably revolutionary, methods for solving a large number of challenging problems from science and engineering which are modeled by differential equations. Conversely, differential equations provide an important set of tools for understanding methods based upon neural networks. This minisymposium is dedicated to recent progress at the interface between neural networks and differential equations, including topics such as the theoretical convergence analysis and computation of neural networks for solving high dimensional PDEs in addition to the analysis, training, and design of neural networks using perspectives from the study of differential equations.
  • Organizer(s) : Yulong Lu, Jonathan Siegel, Stephan Wojtowytsch
  • read more about [00624]

[00625] Mathematical Modeling and Combinatorial Optimization

  • Abstract : Combinatorial optimization problems aim to compute optimal solutions under a series of constraints, where the set of feasible solutions is discrete, such as scheduling and routing problems. It involves thousands of real-world problems. This minisymposium will focus on mathematical modeling and combinatorial optimization. We have eight junior and senior researchers giving their latest research results on algorithm design, modeling of real-world problems and simulation. The purpose of this minisymposium is to discuss new ideas and challenging problems, as well as to explore new research topics.
  • Organizer(s) : Yannan Hu
  • read more about [00625]

[00626] Finite element complexes for structure-preservation in continuum mechanics

  • Abstract : Exact sequences of function spaces, called complexes, have played a central role in developing structure-preserving numerical methods in the framework of the finite element exterior calculus. Discrete preservation of the underlying complex structure between function spaces often preserves physical quantities and conservation laws of interest; examples include pressure-robust schemes for Navier–Stokes flows, conservation of angular momentum in linear elasticity, and propagation of the constraint equations of general relativity. In this minisymposium, we seek to investigate how far this approach can be taken by bringing together numerical analysts from across the broad spectrum of continuum mechanics problems arising in applications.
  • Organizer(s) : Francis Aznaran, Charles Parker
  • read more about [00626]

[00632] From model-blind to model-aware learning of inverse problems in imaging

  • Abstract : In recent years, there has been an increasing interest in exploring how to combine the practical advantages of learning-based methods with the theoretical understanding and the convergence guarantees coming from model-based approaches for the regularisation of ill-posed inverse problems. This mini-symposium will bring together researchers working on data-driven methods and deep learning for inverse problems in the attempt to providing an overview of the mathematical insights able to shed light on how learned image reconstruction approaches can be reliable tools for real-world applications.
  • Organizer(s) : Tatiana A. Bubba, Luca Calatroni, Luca Ratti
  • read more about [00632]

[00633] Unconventional numerical methods for advection-diffusion PDEs

  • Abstract : Advection-diffusion PDEs represent a broad range of mathematical models in different fields of science and engineering, involving physical processes such as fluid flow, heat and mass transfer, diffusion, etc. Discretizations of advection-diffusion PDEs must be physically consistent, accurate and efficient on emerging computing architectures. The purpose of this minisymposium is to showcase recent developments in numerical methods that explore unconventional approaches to address these challenges. Methods such as residual distribution, flux-corrected transport, hybridized DG and FEM, SBP-SAT, machine learning enhanced methods, as well as methods for non-local extensions of classical advection-diffusion PDEs are of particular interest to this miniymposium.
  • Organizer(s) : Svetlana Tokareva, Nathaniel Morgan, Dmitri Kuzmin, Remi Abgrall
  • read more about [00633]

[00635] Mean field games and optimal transport with applications in data science and biology

  • Abstract : Mean field games (MFG) study the behavior of individual players in large populations, where each player controls their own state, while some collective behavior is considered for decision-making. Specific MFG models can be
    formulated as generalized measure transportation problems, exemplifying one of the tight connections to
    optimal transport (OT).

    This mini-symposium highlights the close relationship between MFG and OT, advancing research directions in
    modeling and numerical algorithms, and expanding fields of applications. Particular emphasis will lie on new
    applications in data science, such as point-cloud analysis on networks, and in biology, such as single-cell data

  • Organizer(s) : Shiying Li, Wuchen Li, Siting Liu, Caroline Moosmueller
  • read more about [00635]

[00638] Minisymposium on Interaction between Harmonic Analysis and Data Science

  • Abstract : Over the last twenty years, data science, machine learning, and deep learning in particular, has begun transforming the global economy and modern life. While much attention is focused on purely empirical data mining results, there are considerable mathematical structures and a growing body of theory about how the structures relate to observable properties of real-world systems. Discovering such structures may lead to important mathematical insights and implications for practitioners. The minisymposium will facilitate interactions between harmonic analysts and experts on the theory of data science, machine learning, and deep learning to foster further research in this fast developing area.
  • Organizer(s) : Hrushikesh Mhaskar, Nicole Muecke, Ding-Xuan Zhou
  • read more about [00638]

[00639] Analytical and computational aspects of topological photonics

  • Abstract : Topological photonics is an emerging area in material sciences that explores and utilizes the topological invariants of photonic materials, which take integer values and are robust against system disorder. The area has attracted significant interest in recent years due to the ability of topological photonic materials to transport photon energy in a very robust manner, yet its mathematical development is in its infancy. This minisymposium aims to bring together mathematicians and scientists interested in this interdisciplinary area to share recent results and exchange ideas.
  • Organizer(s) : Chiu-Yen Kao, Junshan Lin, Braxton Osting
  • read more about [00639]

[00640] Variational Analysis: Theory and Applications

  • Abstract : Variational Analysis lies at the heart of modern optimization and underlies the convergence analysis of many algorithms. The purpose of this session is to bring together selected experts from the worldwide optimization and analysis communities to exchange ideas and present new results. We will strike a balance between early-career researchers and experts.
  • Organizer(s) : Heinz Bauschke, Xianfu Wang
  • read more about [00640]

[00641] Emerging Collaborations: Mathematical Views of Modelling Biological Scales

  • Abstract : In this session, we highlight interdisciplinary efforts of mathematicians whose work integrates biological processes and mathematical tools. Often researchers focus on modeling or simulating with a particular biological scale in mind while neglecting the dynamical connections across scales. The aims of the work showcased in this symposium are to develop and use efficient algorithms, data structures, visualization, and communication tools with the goal of computer modeling of biological systems from the cellular to the population scale. This minisymposium features speakers who are currently working in this area and have an interest in establishing new collaborations.
  • Organizer(s) : Amy Buchmann, Candice Price, Arietta Fleming-Davies
  • read more about [00641]

[00642] Traveling Waves in Mathematical Epidemiology

  • Abstract : Wave propagation in epidemic models is known as one of the interesting issues in the field of mathematical epidemiology. Mathematical theory of traveling wave solutions in epidemic models has been developed in recent years. In many cases, the basic reproduction number or a corresponding threshold value plays an important role in determining the existence of the traveling wave. The purpose of this minisymposium is to share and discuss recent developments and results on this topic among interested researchers.
  • Organizer(s) : Yoichi Enatsu, Toshikazu Kuniya
  • read more about [00642]

[00643] Stochastic modeling in cell biology

  • Abstract : Emerging forms of experimental data in cellular and molecular biology have driven new modeling frameworks, many of which are stochastic due to noisy characteristics at these scales. This session features stochastic model construction and analysis of microbiological systems ranging in scale from the movement of genetic material (e.g., DNA) to multi-cell tissues, including mathematical advances motivated by the challenges to explain observed phenomena. Mathematical themes will include stochastic differential equations, Monte Carlo techniques for stochastic simulation, and stochastic PDEs. Several talks will also incorporate novel approaches to effectively representing and incorporating experimental data into the modeling process.
  • Organizer(s) : Peter Kramer, Christopher Miles
  • read more about [00643]

[00652] Recent Advances in Quasi-Monte Carlo Methods and Related Topics

  • Abstract : Many applications, such as computational finance, uncertainty quantification involving PDEs with random inputs, and training of deep neural networks, require tackling computational problems with high dimensions. This minisymposium will bring together people working in Quasi-Monte Carlo (QMC) methods, a powerful class of methods for such problems with high dimensionality. More specifically, QMC methods have been proved efficient for integration over the multi-dimensional unit cube, over other domains, function approximation, and density estimation. In this minisymposium, we aim to showcase recent advances in QMC methods and foster interaction between researchers working in these areas.
  • Organizer(s) : Takashi Goda, Yoshihito Kazashi
  • read more about [00652]

[00654] Poset Combinatorics

  • Abstract :
    To a finite poset $P$ we associate two algebraic objects: the order polynomial $\Omega(P,n)$, which counts the number of order preserving labeling maps of posets from $P$ to $1 < 2 < \ldots < n$; and the generating series $\sum \Omega(P,n)x^n$, called order series.
    This algebraic setting leads to interactions with operad theory, metric spaces, cellular automata, and combinatorial species. In this mini-symposium, the experts will introduce those tools and expose their contributions as well as open questions. The talks will include theoretical results as well as applications to nonlinear signal-flow graphs.
  • Organizer(s) : Eric Rubiel Dolores-Cuenca
  • read more about [00654]

[00656] Multiscale Pattern Formation

  • Abstract : One way to understand the complex dynamics in dissipative systems is to decompose the object into subsystems with different spatiotemporal scales. The resulting subsystems could be unified by singular perturbation, fast-slow method, unfolding of singularities, bifurcation, and data-driven approaches. We collect 12 talks to present the state-of-the-art multi-scale pattern formation arising in biology, chemical reaction, fluid dynamics, and materials science in homogeneous and heterogeneous media. One of our goals is to find a promising direction in the newly emerging field of multiscale pattern formation problems.
  • Organizer(s) : Yasumasa Nishiura, Arjen Doelman
  • read more about [00656]

[00657] Tomographic inverse problems and deep learning techniques

  • Abstract : Tomographic inverse problems involve the recovery of physical quantity $\left(\right.$shown as image$\left.\right)$ from indirect observations. These inverse problems are typically ill-posed and there have been numerous attempts to obtain the proper solution based on mathematical modeling. Deep learning has recently emerged as a powerful tool for solving the inverse problem, as it demonstrates the potential to handle uncertainty of the solution with large amounts of training data. In this mini-symposium, we will discuss mathematical and deep learning strategies for solving inverse problems related to imaging modalities such as computed tomography $\left(\right.$CT$\left.\right)$, magnetic resonance imaging $\left(\right.$MRI$\left.\right)$, and electrical impedance tomography $\left(\right.$EIT$\left.\right)$.
  • Organizer(s) : Kiwan Jeon, Hyoung Suk Park, Jin Keun Seo
  • read more about [00657]

[00666] Simulations and Algorithms for Materials Sciences

  • Abstract : Simulation and computational methodologies are the third pillar alongside theory and experiment in materials science and engineering. Multiphysics and multiscale modeling and simulations incorporating proper numerical techniques and algorithms are key to understand the fundamental mechanisms in controlling the macroscopic material behaviors and make predictions. The development requires interdisciplinary collaborations and efforts, including applied physics, materials science, solid mechanics and applied mathematics. We propose a minisymposium in three sessions, with the aim of bringing together experts from diverse communities to share recent advances and research highlights in the understanding of this topic from their respective perspectives.
  • Organizer(s) : Yejun Gu, Zecheng Gan, Shidong Jiang
  • read more about [00666]

[00669] Mathematical Solutions of Industrial Applications

  • Abstract : Mathematics plays an important role in modern industry, for instance, as a tool for research & development and as algorithmic parts of products. This session presents success stories of industrial mathematics as a solution to various business challenges. Several domains of industry are considered: automotive, optics, manufacturing, medical imaging and agriculture. The following specific topics are included: 1. Data-driven development in industry, 2. Industrial applications of machine learning, 3. Inverse problems in medical X-ray imaging, 4. Machine learning in industry. Each talk will discuss the motivation, approaches and implementations based on mathematics.
  • Organizer(s) : Takanori Ide, Samuli Siltanen,
  • read more about [00669]

[00670] Financial Risk Management and Related Topics

  • Abstract : The development of mathematical models used in financial risk management over the past few decades has been remarkable, and it is certainly an area of applied mathematics where many important research topics remain to be explored. This mini-symposium will focus on discussing recent topics related to mathematical methods for quantitative financial risk management. Specifically, topics such as credit risk modeling, applications of stochastic analysis to risk management, risk measures, multivariate statistical modelings, and so on will be presented.
  • Organizer(s) : Hidetoshi Nakagawa, Suguru Yamanaka
  • read more about [00670]

[00672] Efficient inference for large and high-frequency data

  • Abstract : In this minisymposium, the notion of asymptotically efficient estimation and asymptotically efficient statistical decision is discussed for various models appearing in finance and econometrics.
    For some applications, the data are acquired at high-frequency and in-fill observation scheme is considered. Here, asymptotical properties of the estimators for the parameters of the rough volatility models in quantitative finance and for the solutions of stochastic differential equations with jumps or with singular coefficients will be presented.
    In other applications, the large sample observation scheme is used. Asymptotical efficient statistical decisions and estimations are introduced for time series in econometrics (FARIMA, Threshold AR).
  • Organizer(s) : Alexandre Brouste, Mathieu Rosenbaum
  • read more about [00672]

[00673] Recent advances in discontinuous Galerkin methods and the related applications

  • Abstract : Discontinuous Galerkin methods are widely employed in computational science and engineering fields, as they offer accurate and efficient simulations. In particular, discontinuous Galerkin methods offer appealing features including high-order approximation, hp adaptivity, and local mass conservations, which are particularly important for practical applications. The development, analysis, and applications of discontinuous Galerkin methods have stimulated significant research. The aim of this mini-symposium is to gather experts as well as junior researchers in the field to introduce recent achievements on discontinuous Galerkin methods and the related applications, as well as promote exchanges.
  • Organizer(s) : Eric Chung, Lina Zhao
  • read more about [00673]

[00674] Modern numerical methods for PDE-constrained optimization and control

  • Abstract : Control problems, including optimization problems with PDE constraints, have numerous applications across science and engineering, including chemical processes, mathematical biology, fluid flow control, imaging problems, and mean-field games. Of crucial importance is to develop efficient and robust numerical schemes which can solve mathematical models for such problems and the large-scale optimality systems. This can involve accurate and stable discretization schemes, modern linear algebra to solve systems of equations resulting from such problems, and, increasingly, technologies from parallel computing. This session will cover the state-of-the-art in the design of numerical methods for such problems, arising from a range of scientific applications.
  • Organizer(s) : Dante Kalise, John Pearson
  • read more about [00674]

[00675] New trends in (optimal) control theory

  • Abstract : The goal of this mini-symposium is to bring together experts in several fields of interest in control and optimal control theory, including controllability, stabilization, and large-time behavior of optimal controls, in order to foster scientific interactions. This mini-symposium also aims to be at the intersection between theoretical issues and applications, notably to machine learning, traffic flow and microswimmers.
  • Organizer(s) : Pierre Lissy, Idriss Mazari
  • read more about [00675]

[00685] Mathematical modeling, simulation and optimization in stroke risk assessment

  • Abstract : The aim of the minisymposium is to bring together scientists working on computational and mathematical analysis tools to improve clinical pathways in the exploration, analysis and treatment of stenosis to reduce the risk of ischemic stroke. Topics covered include novel methods for patient specific hemodynamic modeling and simulation, mathematical shape optimization for fluid-structure-interaction, and machine learning approaches. Combining these mathematical approaches with clinical data then allows to complement and improve existing tools for the exploration of risk sites of the corresponding arteries.
  • Organizer(s) : Michael Hinze, Anna Hundertmark
  • read more about [00685]

[00686] Higher-order networks for complex systems

  • Abstract : Complex systems often exhibit emergent phenomena that cannot be understood by studying mere pairwise interactions. Emblematic examples include chemical reaction and molecular biology, where interactions often involve more than just two elements. Nevertheless, most of the mathematical tools of network science have been developed using traditional graphs, which are an explicitly pairwise representation. This mini-symposium will focus on the mathematical objects which are better suited to modelling higher order interactions, such as simplicial complexes and hypergraphs, as well as on the tools that can be used to investigate them.
  • Organizer(s) : Gillian Grindstaff, Heather Harrington, Raffaella Mulas
  • read more about [00686]

[00687] Recent advances in deep learning-based inverse and imaging problems

  • Abstract : The interplay of deep learning with inverse and imaging problems has seen a tremendous progress during the last years producing state-of-the-art results in most tasks. Apart from the availability of large data and the increased computing power, this progress has been mainly facilitated by the development of rigorous theoretical investigations. The purpose of this minisymposium is to bring together experts in data-driven inverse imaging problems who work both in theory and applications. The aim is to stimulate a fruitful knowledge exchange about how mathematical theories can contribute and further develop this field.
  • Organizer(s) : Guozhi Dong, Michael Hintermüller, Kostas Papafitsoros
  • read more about [00687]

[00690] Computational methods for interfaces in physics an mechanics

  • Abstract : This minisymposium gathers analysts interested in the evolution of interfaces, singularities and lower dimensional objects, applied to fracture evolution, inverse problems, or shape optimization, and more.
    Fracture can be computed by successive minimizations of “free discontinuity” energies, approached with phase-field methods. Evolving or static interfaces, or lower dimensional singularities, can be computed by discretizing geometric measure theoretical objects. Level sets methods can be used to identify defects in conductive media. The speakers address such issues from different point of views or apply similar methods to different problems. This will foster fruitful interaction between the participants and the audience.
  • Organizer(s) : Antonin Chambolle, Blaise Bourdin
  • read more about [00690]

[00696] Scientific Machine Learning for Inverse Problems

  • Abstract : Inverse problems address learning complex systems from data. They are ubiquitous in various computational science and engineering areas with grand social impacts, e.g., geophysics, climate change, space missions, and health. Solving an inverse problem requires many solves of the forward model and can be challenging for complex and large-scale problems, e.g., those governed by partial differential equations. Recently, the development of scientific machine learning $(\text{SciML})$ has made tremendous progress in overcoming those challenges. This minisymposium covers progress on $(\text{i})$ the methodology development of SciML-based techniques for inverse problems, and $(\text{ii})$ the applications of SciML methods in solving complex inverse problems.
  • Organizer(s) : Jinlong Wu, Peng Chen
  • read more about [00696]

[00699] Delay and stochastic differential equations in life sciences and engineering

  • Abstract : The purpose of this minisymposium is to bring experts in delay differential and stochastic differential equations
    and to discuss recent advancement in the area, as well as applications of dynamical systems to emerging areas of mathematical biology, medicine and engineering. Qualitative behaviour, stability, oscillation will be the focus of theoretical investigations. In theoretical advancement, the focus is on asymptotic behaviour, in particular local and global stability, and its control. The areas of application include population dynamics, modeling brain activity, cancer treatment, and engineering.
  • Organizer(s) : Elena Braverman
  • read more about [00699]

[00702] Sequential Decision Making for Optimization, Learning and Search

  • Abstract : Key problems such as hyperparameter optimization, model calibration, and inverse/optimal design often involve exploring design spaces to identify desirable designs for one or more objectives of great value and great cost. Intelligently experimenting in this design space is fundamental to gaining valuable, actionable insights in a viable amount of time. In this minisymposium, we will discuss some of the common methodologies for identifying high-performing and optimal designs, including Bayesian and genetic methods, and several exciting applications which motivate the research in this field.
  • Organizer(s) : Michael McCourt
  • read more about [00702]

[00703] Combining machine learning with domain decomposition and multilevel methods

  • Abstract : In this minisymposium, recent advances in using machine learning in domain decomposition and multilevel methods will be discussed as well as applying domain decomposition and multilevel techniques to improve different aspects of machine learning algorithms.
  • Organizer(s) : Victorita Dolean, Alexander Heinlein, Axel Klawonn, Rolf Krause
  • read more about [00703]

[00704] Numerical Software Libraries Enabling Benefits to Scientific Applications

  • Abstract : Numerous numerical software libraries have high quality implementations of efficient algorithms and thus
    facilitate transfer of new algorithms developed in academia into scientific applications, including those in labs
    and industry. Recently, use of these libraries by labs and industry has significantly increased, and the value of
    these libraries has been made clear. Several libraries have enabled applications to migrate their simulation codes
    to the newest exascale systems as well as improve performance and capabilities. We will overview library
    activities undertaken to ensure value to applications and give examples demonstrating use of new algorithms
    as well as capability and speed improvements.
  • Organizer(s) : Carol S. Woodward, Ulrike M. Yang
  • read more about [00704]

[00707] Theoretical and Numerical Challenges in the Modelling of Fluid Motion

  • Abstract : The goal of this mini-symposium is to provide a forum for presenting and discussing recent advances in mathematical and numerical modelling of fluid motion. The phenomena under consideration range from small oscillations of fluid droplets to large ocean waves. Topics of interest cover nonlinear waves and solitons in fluids, surface and internal ocean waves, atmospheric flows, as well as fluid dynamics methods for fatigue fracture analysis. In this mini-symposium a holistic approach to fluid dynamics is sought where the problem is studied by modern mathematical methods requiring advanced tools in functional analysis, geometry, PDEs, soliton theory and numerical modeling.
  • Organizer(s) : Rossen Ivanov, Michail Todorov
  • read more about [00707]

[00708] Computational medicine of the heart: towards cardiac digital twins

  • Abstract : Computational cardiology is an emerging field that exploits Mathematics, Engineering, and Computational Science to develop quantitative approaches for understanding the mechanisms of cardiac physiology, for enhancing the diagnosis of pathologies, and for improving their clinical treatment. This minisymposium aims at gathering mathematicians, engineers, and more generally researchers working on mathematical and numerical modelling of the human heart. Topics may include, but are not limited to, coupled cardiac modelling, numerical methods, translational medicine, Scientific Computing, Scientific Machine Learning, and large-scale computing. The overarching aim is the construction of Cardiac Digital Twins.
  • Organizer(s) : Luca Dede’, Alfio Quarteroni
  • read more about [00708]

[00710] Gender Equality in Mathematics: A Global Perspective

  • Abstract : In the last decade, the fields of mathematics and applied mathematics have increasingly recognized the highly creative contributions by women. However, there still remains a significant gap in the percentage of women in these fields, and barriers to achievement by women persist, especially in developing countries. The Gender Gap in Science project was executed to accumulate data on this gap and to provide recommendations on how to reduce and remove barriers to women. Speakers will discuss the gender gap in mathematics globally and overview challenges and activities to address the gap. The sessions will conclude with a moderated panel discussion.
  • Organizer(s) : Carol S. Woodward, Maria Esteban, GuiYing Yan
  • read more about [00710]

[00711] Recent Advances in Optimal control and optimization

  • Abstract : In this minisyposium we discuss the recent developments in control and optimization.
    We analyze solutions to PDE in a general framework and develop a new control and optimization methods and theoretic analysis.
    The control PDE analysis includes the constrained stochastic Nash game,
    optimal control problems in metric spaces and
    optimal control of poroelastic systems and frequency dependent Hautus tests for controllability.
    We apply our methods to specific examples in biomedicine, population dynamics and Economics
    Also, we develop a new theoretic framework for optimal control and optimization
    based on Rockafellar’s perturbation theory
    to analyze and solve general nonsmooth convex minimization and
    monotone inclusion problems.
  • Organizer(s) : Kazufumi Ito
  • read more about [00711]

[00715] Recent Trends in Market Design

  • Abstract : Market design, also known as mechanism design, is a practical application of game theory, whose purpose is to develop decision making rules under which each individual has an incentive to take a desirable action in an equilibrium. In recent years, the research of market design has attracted the attention of researchers in various research fields, including mathematics, economics, computer science, biology, politics, psychology, etc. We have nine prospective researches in this minisymposium as invited speakers, who give us state-of-the-art of the theory and applications of market design.
  • Organizer(s) : Ayumi Igarashi, Shunya Noda, Taiki Todo
  • read more about [00715]

[00718] Data-driven and physics-informed techniques in Data Assimilation

  • Abstract : In light of the great proliferation of data and increase in computational power, the importance of effectively combining observations with dynamical models for the purpose of prediction, parameter estimation, and modeling remains a fundamental challenge. Exciting recent works at the interface of machine learning, analysis of PDEs, and data assimilation have led to the development of new methods, analytic insights and unifying perspectives, as well as novel applications. This mini-symposium will bring together researchers that have made such contributions in analytical or computational capacities.
  • Organizer(s) : Jochen Broecker, Vincent Martinez, Sahani Pathiraja
  • read more about [00718]

[00719] Recent Advances in Numerical PDE and Scientific Machine Learning

  • Abstract : Artificial intelligence is constantly evolving and researchers are utilizing deep neural networks in increasingly complex problem sets. To address the difficulties posed by these new setups, deep learning research is exploring new modeling tools, including differential equations, to improve the predictive capabilities of neural networks. These technologies have demonstrated potential in speeding up scientific simulations and achieved state-of-the-art performance in various fields. This minisymposium will focus on recent developments in the intersection of scientific computing and deep learning, highlighting their impact and application across multiple disciplines.
  • Organizer(s) : Minseok Choi, Youngjoon Hong
  • read more about [00719]

[00721] Data-driven and Model Reduction methods for Subsurface Applications

  • Abstract : There are recently a lot of exciting new computational approaches with the aim of solving practical and challenging subsurface applications such as multiphase flow in a fractured reservoir as well as geothermal modeling with heat conduction. The aim of this mini-symposium is to review recent progress in data-driven and model-reduction methods like multiscale methods, numerical upscaling techniques, and learning-based algorithms for related applications and motivate new research directions in solving challenging problems from the field of computational geosciences.
  • Organizer(s) : Siu Wun Cheung, Wing Tat Leung, Sai-Mang Pun
  • read more about [00721]

[00727] Recent Advances in Fast Iterative Methods for PDE Problems

  • Abstract : Solving vast sparse or structured linear systems is one of the major tasks when solving partial differential equation (PDE) problems in many applications in science and engineering. Iterative solvers such as Krylov subspace methods and the multigrid methods, with effective preconditioners, are often used for solving these linear systems efficiently. This minisymposium brings various researchers and experts in these areas together to present the latest development of iterative methods, preconditioners, and linear algebra software.
  • Organizer(s) : Sean Hon, Xuelei Lin
  • read more about [00727]

[00731] Optimal control: methods and applications

  • Abstract : This two part mini-symposium addresses theoretical aspects of optimisation of systems governed by ODEs and applications. Optimal control and the associated analysis indeed provides a framework general enough to cover the Riemannian case, and gradient flows on such manifolds, as well as the Finslerian one – in particular Zermelo type problems. It is also instrumental to deal with more singular situations involving for instance Fuller and turnpike phenomena. Two privileged domains of applications are considered: space mechanics, in connection with dynamical system analysis for mission design, and biology with a focus on micro-swimmers and bacterial growth.
  • Organizer(s) : Jean-Baptiste Caillau, Lamberto dell’Elce, Clément Moreau
  • read more about [00731]

[00733] Compressible fluid dynamics and related PDE topics

  • Abstract : This mini-symposium is aimed to bring together the leading experts as well as promising young researchers to present their recent results in compressible fluid dynamics and related PDE topics. Key topics focus on the most challenging open problems in the compressible fluid dynamics such as existence of solutions, asymptotic stability of wave pattern and singular limits, etc. It also provides a premier interdisciplinary forum for senior and junior researchers to exchange their experiences in the study of partial differential equations coming from compressible fluid dynamics.
  • Organizer(s) : Feimin Huang, Song Jiang, Takayuki Kobayashi, Yong Wang
  • read more about [00733]

[00736] Modeling and Computation for Interface Dynamics in Fluids and Solids

  • Abstract : Interfacial phenomena are widely observed in nature and play important roles in materials science and fluid mechanics. The dynamics of the interfaces between different phases is of great interest not only because of the associated scientific questions but also due to its various applications. The different phases separated by the interfaces can be both liquids, or liquid-gas phases, or solid-gas phases, etc. Modelling and simulation of such systems is rather challenging, especially in the presence of moving contact lines. This mini-symposium will mainly focus on the mathematical modeling of interface dynamics and the development of efficient numerical methods.
  • Organizer(s) : Quan Zhao, Bo Lin
  • read more about [00736]

[00737] Numerical methods for semiconductor devices simulation and the computational lithography

  • Abstract : As the feature size of modern integrated circuits goes to nanometer-scale, the design and analysis of integrated circuits become complicated. Quantum mechanical phenomena become prominent in numerical simulations of semiconductor device. At the same time, rigorous computational lithography beyond Kirchhoff approximation becomes more important, but are too resource intensive to use for full chip applications. Efficient and accurate numerical simulation of device and lithography continues to be a challenge. We are concerned with the numerical modeling of semiconductor devices simulation and electromagnetic computation in lithography. Of particular interest to this minisymposium are recent advances on general numerical methods.
  • Organizer(s) : Junqing Chen,Tao Cui,Wenhao Lu ,Weiying Zheng
  • read more about [00737]

[00739] Inequalities and entropy with applications

  • Abstract : Mathematical inequalities are of fundamental interest due to their applications in different problems in industrial and applied mathematics. Developing a new inequality is a challenging and crucial task.
    On the other hand, entropy plays a key role in theoretical physics and information theory. Investigations in entropy need new mathematical inequalities. In contrast, research in inequality provides novel characteristics of entropy and divergence. For instance, we need matrix inequalities in quantum information theory.
    In this mini-symposium, our aim is to provide the recent advances, problems and ideas at the interface of mathematical inequalities and entropy with various applications.
  • Organizer(s) : Shigeru Furuichi
  • read more about [00739]

[00746] Variational methods for singularities and concentration on low dimensional sets

  • Abstract : This mini-symposium focuses on recent developments in the calculus of variations
    with application to problems in nonlinear elasticity, plasticity, liquid crystals,
    and foams, with an emphasis on topological defects.

    Defects play a prominent role, for example, in superfluidity, superconductivity,
    and plasticity. Low-energy configurations exhibit lower-dimensional concentration
    patterns; examples include dislocations, vortices, grain boundaries, interfaces,
    and phase transitions.

    The aim of the mini-symposium is to bring together experts focusing on
    different aspects of this common big picture, to promote exchange of ideas,
    and identify new ways of tackling open problems.

  • Organizer(s) : Georg Dolzmann, Adriana Garroni, Lucia Scardia
  • read more about [00746]

[00747] Analysis and Numerics on Deep Learning Based Methods for Solving PDEs

  • Abstract : Various difficult PDE problems from the science and engineering now tend to be solved by numerical methods based on deep learning. This minisymposium focuses on both analytic and numerical aspects of these new methods. The speakers will talk about their recent works on the mechanism and further improvement of variational or/and physics-informed DNN-based solvers with applications to scientific computing problems.
  • Organizer(s) : Tao Luo, Zheng Ma, Zhiping Mao
  • read more about [00747]

[00749] Recent Advances on Preconditioners and Fast Solvers for Nonlinear PDEs

  • Abstract : Numerical methods for solving nonlinear PDEs are at the heart of many scientific applications in physics, engineering, and biology. Recent advances in developing preconditioners and fast solvers bring significant improvement to the robustness and efficiency of numerical methods for nonlinear PDEs. A variety of novel techniques have been introduced such as nonlinear preconditioning, model order reduction, multiscale methods, heterogeneous computing, and machine learning. This minisymposium is to encourage communication among experts in these fields to discuss cutting-edge topics of numerical methods for nonlinear PDEs and their applications.
  • Organizer(s) : Xiao-Chuan Cai, Rongliang Chen, Li Luo
  • read more about [00749]

[00752] Theory and efficient methods for large-scale structured optimization models

  • Abstract : This mini-symposium is mainly on large-scale structured optimization models popular in statistical or machine learning community. We focus on the design of efficient algorithms for solving those large-scale structured optimization problems and the analysis of convergence theory of the proposed algorithms.
  • Organizer(s) : Yangjing ZHANG
  • read more about [00752]

[00753] Numerical methods for high-dimensional problems

  • Abstract : High-dimensional problems appear in various scientific areas and suffers from the notorious “curse of dimensionality” issue. This mini-symposium brings together the scientists working on quantum chemistry, classical and quantum kinetic theory and geophysics, etc., to share and exchanges their ideas in solving high-dimensional problems. Our mini-symposium will highlight the recent developments in both deterministic and particle-based methods. It is expected to elucidate the following questions: 1. Why do we need to solve high-dimensional problems? 2. What are common difficulties? 3. How to alleviate the curse of dimensionality by either novel mathematical methodologies or sophisticated usage of high-performance computing environment?
  • Organizer(s) : Yingzhou Li, Yunfeng Xiong
  • read more about [00753]

[00754] Regularization models and sampling algorithms in statistics and inverse problems

  • Abstract : Inverse problems involve the determination of unknown parameters from observational data and mathematical models linking those parameters to the data. Bayesian inference offers a framework to estimate the solution in terms of a posterior probability distribution. Oftentimes, the computation of the posterior requires application of Markov chain Monte Carlo (MCMC) methods. Direct implementation of these techniques becomes a challenge when the target parameters have a particular structure and are high-dimensional. This mini-symposium aims at presenting recent developments in sampling methods and prior/regularization models in statistics and inverse problems, including novel MCMC techniques, Monte Carlo estimators, and priors encoding structural information.
  • Organizer(s) : Felipe Uribe, Andreas Rupp
  • read more about [00754]

[00760] Improving Reproducibility, Trustworthiness and Fairness in Machine Learning

  • Abstract : The widespread uptake of machine learning for completing routine and complex tasks has been an ambition that feels closer and closer every year. There is currently a well-known reproducibility crisis impacting machine learning-based science which could damage public confidence in the tools and hamper a rapid uptake. The diverse array of speakers in this minisymposium will present a range of talks focussing on practical solutions to different aspects of the reproducibility crisis, ways to address inequalities in algorithm performance to improve fairness, improving explainability of models, and methods to assess the robustness of algorithms.
  • Organizer(s) : Michael Roberts, Daniel Kreuter
  • read more about [00760]

[00761] Recent Advances on quadrature methods for integral equations and their applications

  • Abstract : Numerical methods based on integral equations are powerful tools for simulating physical systems that arise in fluid mechanics, acoustics, electromagnetics, and many other fields. A crucial component of any efficient integral equation solver is a specialized quadrature method for the discretization of the underlying integral operators. This mini-symposium will focus on the main challenges in quadrature research including accurate evaluation of singular and near-singular integrals associated with surface and volume potentials, adaptive discretization in complex geometries, and the efficient implementation of quadrature schemes in practical applications.
  • Organizer(s) : Anna-Karin Tornberg, Hai Zhu, Bowei Wu
  • read more about [00761]

[00763] Long-time dynamics of numerical methods for nonlinear evolution equations

  • Abstract : The numerical simulation of many physical systems requires an understanding of solutions which goes beyond mere numerical accuracy – they possess invariant structure and qualitative features that distinguish physically meaningful from spurious behaviour. This leads to the fundamental question to what extend such features of the underlying system can be preserved in the numerical flow, in particular over times much longer than is guaranteed by local error estimates. The proposed minisymposium brings together experts from computational mathematics to provide an overview of current state-of-the-art and recent advances in the study and design of methods for evolution equations with favourable long-time behaviour.
  • Organizer(s) : Yue Feng, Georg Maierhofer, Katharina Schratz
  • read more about [00763]

[00766] Deep learning techniques for inverse problems and imaging

  • Abstract : Inverse problems involve identifying parameters of interest from indirect data. A main challenge for solving inverse problems is that their solutions are often not well posed, i.e., not unique and/or unstable with respect to small perturbations in the data. Deep techniques have been successfully applied to a wide variety of inverse problems, especially those arising in medical imaging. The main purpose of this mini-symposium is to discuss recent developments of the deep learning techniques for solving inverse problems and the open challenges that need to be addressed in the future.
  • Organizer(s) : Jinglai Li, Xiaoqun Zhang
  • read more about [00766]

[00768] Recent Advances in Computational Tools of Scientific Machine Learning towards Digital Twins

  • Abstract : Scientific Machine Learning is a new discipline that integrates traditional scientific computing and modern machine learning. It has grown explosively in recent years and is recognized as a fundamental research field that develops computational tools enabling Digital Twins. This mini-symposium will highlight recent progress in scientific machine learning techniques for Digital Twins and gather experts working on theory, algorithms, and applications to discuss and identify urgent current agendas and challenges.
  • Organizer(s) : Yeonjong Shin, Xueyu Zhu
  • read more about [00768]

[00774] Applications of machine learning to analyzing time-series and imaging data

  • Abstract : Considerable increases in GPU and high-performance computing have led to significant advances in machine learning methodologies. This mini-symposium will focus on recent advances in methodologies and applications of deep and machine learning to analyze two types of data. In the first session, our speakers will discuss recent advances in machine learning based methods for predicting time series data. The second session will focus on deep learning for analyzing and interpreting imaging data. Mathematical topics of this mini symposium include, but are not limited to, physics-driven machine learning, deep learning, reinforcement learning, computer vision, and optimal transport.
  • Organizer(s) : Kevin Flores, Ryan Murray, Hien Tran
  • read more about [00774]

[00778] Analysis, Applications, and Advances in Metamaterials and Composites

  • Abstract : Composites are inhomogeneous mixtures of their component materials. Metamaterials are composites with properties that go beyond those of the constituent phases and possibly beyond naturally occurring materials. These have attracted increasing attention in the past twenty years. Many important mathematical questions have been addressed, yet many remain. For example, composites and metamaterials can guide fields and waves in desired ways, e.g., cloaking, but the limitations of this are not so clear. Also, what unusual effective behaviors are possible? Incorporating dispersion, dissipation, anisotropy, extreme moduli, etc. adds to the challenge. This minisymposium will present exciting new developments in the field.
  • Organizer(s) : Maxence Cassier (CNRS, Institut Fresnel), Graeme W. Milton (University of Utah), Anthony Stefan (Florida Institute of Technology), Aaron Welters (Florida Institute of Technology)
  • read more about [00778]

[00779] Advances in numerical methods for evolutionary PDEs and applications

  • Abstract : Several models in science, physics and engineering, are described by evolutionary systems of partial differential equations (PDEs). The purpose of the MS is to gather researcher interested in the development of innovative techniques for the numerical solution of a wide class of evolutionary problems, in several contexts: kinetic theory of rarefied gases, linear and nonlinear waves, viscoelasticity, multiphase flows, radiation hydrodynamics, traffic flows, shallow water, just to mention some examples. The mini-symposium will deal with several issues related to the numerical solution of such equations, including, among others, multi-scale issues, asymptotic preserving schemes, high order discretization in space and time, and stability analysis.
  • Organizer(s) : Sebastiano Boscarino, Giuseppe Izzo, Giovanni Russo
  • read more about [00779]

[00781] Physical and Mathematical Research on Transport on Slippery Surfaces

  • Abstract : In the past two decades numerous laboratories have microfabricated surfaces with the chemical and textural properties to mimic slippery surfaces found in nature, e.g. the superhydrophobic lotus leaf. This has been made possible by the continuing advances in nano/micro fabrication technology. This 3-part minisymposium will bring together engineers, physicists, and applied mathematicians in a multi-physics framework to discuss recent modelling and experimental applications.
  • Organizer(s) : Toby Kirk, Darren Crowdy
  • read more about [00781]

[00782] Recent Advances on Mimetic Difference Methods

  • Abstract : Mimetic Difference Schemes are based on Mimetic Difference Operators which are discrete analogs of the continuous first order invariant operators divergence, gradient and curl. They have been used for quite some time to solve effectively a wide range of partial differential equations. In this mini symposium we will present recent advances on mimetic methods including energy conservation, stability analysis and extension of stability region via Mollification techniques. Numerical examples will be presented to illustrate the effectiveness of the methods
  • Organizer(s) : Jose E. Castillo
  • read more about [00782]

[00783] PDE Eigenvalue Problems: Computational Modeling and Numerical Analysis

  • Abstract : Eigenvalue problems of partial differential equations have many important applications in science and engineering, e.g., design of solar cells for clean energy, calculation of electronic structure in condensed matter, extraordinary optical transmission, non-destructive testing, photonic crystals, and biological sensing. This mini-symposium focuses on the computation modeling and numerical analysis for PDE eigenvalue problems. It intends to bring the leading researchers to discuss the recent developments and build collaborations among participants of various backgrounds.
  • Organizer(s) : Hengguang Li, Xuefeng Liu, Jeffrey Ovall, Jiguang Sun
  • read more about [00783]

[00785] Learning Dynamical Systems by Preserving Symmetries, Energies, and Variational Principles

  • Abstract : Dynamical systems abound in engineering and science, and their accurate long-time simulation and outer-loop applications such as control, design and uncertainty quantification remains a computational challenge. From first principles modeling of physical systems, it is clear that many of these dynamical systems have a natural geometric structure (e.g., Hamiltonian, Lagrangian, metriplectic) or symmetry (translational, rotational). Exploiting and enforcing this structure in physics-based learning methods remains imperative for capturing the underlying physics accurately. This minisymposium highlights recent developments in physics-preserving learning for dynamical systems, such as: Lagrangian/Hamiltonian neural networks, sparse identification of nonlinear dynamics (SINDy), operator inference, preservation of conservation laws, the incorporation of interconnection and modular structure, structure-preserving system identification and other machine learning approaches.
  • Organizer(s) : Boris Kramer, Yuto Miyatake
  • read more about [00785]

[00787] Space Weather: Modeling, Surrogates and Uncertainty Quantification

  • Abstract : Electronic technologies that govern modern life, such as the Global Positioning System, are dependent on satellite technologies, which require accurate space weather models with quantified uncertainties to operate safely and efficiently. Uncertainties in space weather models are wide-ranging. They can stem from how the models are driven, e.g., parameters, initial conditions, forcing, and from the treatment of the internal physics and numerics. For example, predictions of thermospheric density must account for model-form and parametric uncertainty in models of thermal conductivity and Nitric Oxide cooling. This minisymposium presents broad class of novel UQ methods for the exciting application of space weather.
  • Organizer(s) : Boris Kramer, Enrico Camporeale
  • read more about [00787]

[00789] Algorithmic advances in computational quantum mechanics

  • Abstract : Chemistry, physics, and materials science have benefited tremendously from advances in algorithmic tools for the simulation of quantum systems. In recent years, ideas developed in collaboration with the applied mathematics community have played an increasingly prominent role. This minisymposium will focus on recent algorithmic advances in computational quantum mechanics driven by numerical linear algebra, numerical methods for partial differential equations and integral equations, fast algorithms for the manipulation of structured operators, convex optimization, tensor networks, randomized algorithms, and machine learning methods.
  • Organizer(s) : Jason Kaye, Michael Lindsey
  • read more about [00789]

[00792] Recent Advances of Modeling and Computation of Moving Boundary Problems

  • Abstract : A great number of real-life problems, important for engineering and biological applications, involve time-dependent boundaries, whose motion is controlled by interactions among microscopic and macroscopic driving forces. At the continuum level, one derives models via energy variation approach so that the resulting formulation, usually posed as systems of coupled PDEs and boundary conditions, is consistent with physical laws. To date, grand challenges remain in high-fidelity modeling and efficient computation of these multiscale problems. This minisymposium will $(1)$ address some of most recent topics in modeling and computation; $(2)$ nurture collaborations among investigators in mathematics, biophysics, and engineering.
  • Organizer(s) : Shuwang Li, Yongcheng Zhou, Xiaofan Li
  • read more about [00792]

[00793] SIAM Student Chapter Research Presentations

  • Abstract : The SIAM Student Chapter Research Presentations minisymposium is designed to encourage student participation, to meet with both peers and professionals in their field and to promote interaction between newly established Student Chapters in the East Asia Section. The presentations given by students include recent advances in applied mathematics and computational science. Organizers also hope to encourage those in the learning community to establish new student chapters of SIAM and to strengthen collaboration opportunities between students and the SIAM leadership.
  • Organizer(s) : Tulin Kaman, Eric Chung
  • read more about [00793]

[00794] Mathematical Modelling and Disease

  • Abstract : Mathematical modeling and estimation strategies are especially useful
    in the fight against disease be it through diagnosis, prediction, or management.
    Examples include analyzing medical device performance and providing simulation,
    constructing probabilistic/stochastic models that define classification strategies
    that in turn guide diagnostic testing. In this minisymposium, these themes will be
    investigated through specific ‘real world’ examples emphasizing metrology and
    the importance of measurement science in using mathematics to treat disease.
  • Organizer(s) : Anthony Kearsley, Luis Melara
  • read more about [00794]

[00795] Topological data analysis and machine learning

  • Abstract : Topological Data Analysis (TDA), a relatively new field of data analysis, has proved highly useful in a variety of applications. Recently, much TDA research has been devoted to not only developing theories but also developing TDA compatible in machine learning workflow. This workshop will bring together researchers working on the areas of TDA and machine learning and provide an opportunity where they present their recent research and share ideas both in theory and applications. Further, this workshop will also provide recent progresses of computational tools developed for TDA combined with machine learning in various applications.
  • Organizer(s) : Jae-Hun Jung, Shizuo Kaji, Moo K. Chung
  • read more about [00795]

[00802] Numerical Algorithms for the Eikonal Equation and Its Applications

  • Abstract : The minisymposium focuses on the recent state-of-art for the eikonal equation in view of the mathematical theories, diverse applications such as image processing, seismic wave travel time in layered media, 3D shape reconstruction, 3D printing, optimal control, homogenization, mean field games, and distance on a non-convex domain with polyhedral meshes, and their numerical algorithms; semi-discretization method, finite volume method, mimetic discretization method, using the Hopf-Lax formula, Jet marching method, variational methods, neural network approaches, etc. We also include a variant of the eikonal partial differential equation induced by Randers metric and a high order accurate efficient eikonal solvers on surfaces.
  • Organizer(s) : Jooyoung Hahn, Laurent Cohen
  • read more about [00802]

[00810] Recent Developments on the Numerical Solution of Least Squares Problems

  • Abstract : Talks will be presented on recent developments in the numerical solution of least squares problems. Topics included are, numerical solution of least squares problems including preconditioners, rank-deficient and singular systems, quaternion least squares problems, total least squares problems including condition numbers and quantum-inspired algorithms, randomized algorithms such as the randomized Kaczmarz method, and regularization methods for the solution of ill-posed problems.
  • Organizer(s) : Ken Hayami, Yimin Wei
  • read more about [00810]

[00814] Inverse Problems for Moving Targets

  • Abstract : The inverse problems of determining the trajectory of a moving target arise from many significant industrial, medical and military applications such as radar imaging, underwater sonar system, auto target recognition etc. There has been growing interest from the mathematical community, because the design of efficient and stable numerical schemes relies heavily on deep mathematical understandings. The purpose of this symposium is to bring together researchers in this area to discuss mathematical models and inverse problems (including uniqueness, stability and numerics) for identifying moving objects governed by time-dependent PDEs.
  • Organizer(s) : Guanghui Hu, Takashi Ohe, Jun Zou
  • read more about [00814]

[00815] Recent trends in continuous optimization

  • Abstract : Continuous optimization is a branch of optimization with applications in many fields. In view of their usefulness, in this minisymposium we will focus on: (i) nonlinear programming, where an objective function is minimized or maximized while satisfying some constraints; (ii) multiobjective optimization, where multiple objective functions are considered; and (iii) conic optimization, which deals with more general conic constraints. The goal of this minisymposium is to present some recent developments on those topics. In particular, proposals of efficient algorithms, advanced theoretical results and applications in machine learning will be discussed.
  • Organizer(s) : Yasushi Narushima, Ellen H. Fukuda, Bruno F. Lourenço
  • read more about [00815]

[00819] Secure Computing: Maintaining Personal Privacy while Analyzing Data

  • Abstract : The proliferation of IoT machine and sensor devices are major contributors to the surge in production and storage of mostly private, sensitive data. Deloitte projects, “by 2025 our global volume will reach 175 zeta bytes” ( Many data owners seek to analyze the data to uncover insights and improve their decision-making processes. However, compliance with privacy regulations and the threat of cyberattacks pose heretofore unknown challenges. Approaches to address this issue, collectively known as secure computing, include: privacy-preserving data analysis, differential privacy, federated learning, multi-party computation, and homomorphic encryption. This mini-symposium seeks to gather practitioners/specialists for active debate and dialog.
  • Organizer(s) : Mei Kobayashi
  • read more about [00819]

[00825] Numerical Time Integration Algorithms and Software for Machine Learning

  • Abstract : Decades of research and development in numerical time integration algorithms and software has been focused on solving time-dependent differential equations that arise from mathematical models of physical phenomena. Recently, a clear nexus between time integration and machine learning (ML) has been established, giving rise to many new opportunities for novel time-integration algorithm research and software development. The goal of this minisymposium is to shine a light on the ML application area by featuring talks that demonstrate numerical time integration algorithms and software benefiting ML, or discuss how they can be geared towards ML. Prepared by LLNL under Contract DE-AC52-07NA27344. LLNL-ABS-843420.
  • Organizer(s) : Cody Balos, Richard Archibald
  • read more about [00825]

[00827] Stochastic Rounding for Reduced-Precision Arithmetic in Scientific Computing

  • Abstract : The comeback that stochastic rounding has made in the last few years can be attributed to the availability of hardware implementing low-precision floating-point arithmetic, as well as to the recognition that, in some applications, this rounding mode can control the growth of rounding errors better than commonly used alternatives. Research has focused not only on obtaining efficient hardware and software implementations, but also on understanding the numerical properties of algorithms that replace round-to-nearest with stochastic rounding. In this minisymposium, we will have an opportunity to learn about recent advances in both directions.
  • Organizer(s) : Massimiliano Fasi, Mantas Mikaitis
  • read more about [00827]

[00831] Randomization for Simplified Machine Learning: Random Features and Reservoir Computers

  • Abstract : Training neural networks remains challenging for complex or recurrent architectures. The random feature approach side steps training deep layers by sampling random weights and fitting only the final output layer to data with linear least squares. When applied to recurrent networks, this is called a reservoir computer. These methods can approximate functions, operators, and dynamical systems. This minisymposium seeks to unify knowledge and experiences of both communities on topics of 1) scaling to high-dimensional large-volume data, 2) hyperparameter learning, 3) performance evaluation and comparison, and 4) theoretical understanding of features and reservoirs.
  • Organizer(s) : Oliver Dunbar, Georg Gottwald, Matthew Levine, Nicholas Nelsen
  • read more about [00831]

[00837] Particle Methods for Bayesian Inference

  • Abstract : Particle methods have become a popular method for sampling, optimization, inversion, and filtering.
    Moreover gradient-free versions of particle systems may implicitly carry gradient information that can be leveraged for better performance. In this minisymposium we bring together experts in
    Ensemble Kalman filtering, Ensemble Kalman inversion, and Ensemble Kalman sampling as well as other
    particle-based algorithms like Consensus-based optimization, Affine invariant Langevin dynamics,
    Stein Variational Gradient Descent and collect recent advances based on homotopy approaches, ensemble enrichment, Wasserstein gradient flows and discrepancy flows.
  • Organizer(s) : Robert Gruhlke, Johannes Hertrich, David Sommer, Philipp Wacker
  • read more about [00837]

[00838] Perspectives in Artificial Intelligence and Machine Learning in Materials Chemistry, 2nd edition

  • Abstract : Artificial Intelligence has led to a paradigm shift in investigation in Materials Chemistry, with Machine Learning allowing informatics-based systematic calculations, predictions and discovery based on material databases pushing beyond the intrinsic limitations of first-principles calculations. The successful application requires development of novel methodologies inspired by the frontends of materials development in close synergy between Mathematics and Information Technology, areas where interdisciplinary collaborations are crucial and yet to date in their early phases.
  • Organizer(s) : CESANA Pierluigi, NGUYEN DINH Hoa, PACKWOOD Daniel, STAYKOV Aleksandar
  • read more about [00838]

[00840] Efficient and scalable solvers and algorithms for multiscale phenomena

  • Abstract : Many physical systems involve interactions between different scales in space and/or time, which usually stem from the coexistence of complex micro-structures and phenomena taking place at much larger scales.
    Prominent examples of multiscale systems are biological tissues, composed of millions of cells but treated as a continuum, with scale separations in both space and time.
    The focus of this minisymposium is on efficient and scalable numerical methods, solvers and high performance software, which can solve such complex systems on modern HPC computing architectures.
  • Organizer(s) : Nicolas A. Barnafi, Ngoc Mai Monica Huynh, Luca F. Pavarino
  • read more about [00840]

[00843] Innovative numerical methods for complex PDEs

  • Abstract : Many problems in science and engineering involve multi-physical processes where their complex interactions occur at a wide range of spatial and temporal scales. They can be modeled by a set of nonlinear PDEs, each representing different physical phenomena. Numerical solutions of such problems remain a quite challenging task due to the presence of multiple spatial and time scales. The goals of this minisymposium are first to present some of latest developments in numerical methods for such complex PDEs, and second to bring together experts, young researchers, and students working in this field to exchange ideas and to initiate collaborations.
  • Organizer(s) : Vu Thai Luan, Amanda Diegel, Aaron Rapp
  • read more about [00843]

[00851] Mathematics for Big Data and Artificial Intelligence: models and challenges

  • Abstract : The availability of huge amounts of data and the application of AI techniques are considered as the fourth industrial revolution, but extracting meaningful knowledge and transparent decisions from the data is not a trivial task.
    Mathematics is the ‘language’ on which are based the existing algorithms for data processing and for AI. This minisymposium is organized within the ECMI SIG “Mathematics for Big Data and AI”. The talks in this minisymposium will present and discuss how Mathematics can play a leading role in improving the reliability, computational efficiency, and transparency of the existing techniques for big data analysis and AI.
  • Organizer(s) : Alessandra Micheletti, Natasa Krejic
  • read more about [00851]

[00854] Control and stabilization of PDEs: recent advances and applications

  • Abstract : As control problems arise naturally from engineering and physics, control theory has attracted a lot of attention in the last century. In recent decades, the study of control problems from PDEs’ point of view has developed quickly, finding natural connections with fluid mechanics, microlocal analysis, stochastic analysis, and many applications such as traffic flow regulations, lane manufacturing, crowd motion, and biology, etc. We focus on these new developments, which cover a wide range of problems from observability to quantitative stabilization and finite-time stabilization across many different types of systems from subelliptic equations to conservation laws to hybrid systems.
  • Organizer(s) : Shengquan Xiang, Maria Teresa Chiri, Amaury Hayat, Qi Lü
  • read more about [00854]

[00866] BEM and related methods for advanced applications

  • Abstract : Since its early days, the Boundary Element Method (BEM) has been selected as an accurate, scalable and reliable tool in computational science and engineering. In particular, in the last three decades, the number of its applications to cutting edge academic/industrial fields has impressively grown up. This Minisymposium is devoted to application aspects of BEM and its main goal is to bring together experts in this field, belonging to different international research groups, to discuss on the most recent advances and current open challenges on fast and innovative strategies for real-life applications.
  • Organizer(s) : Luca Desiderio, Alessandra Aimi, Chiara Guardasoni
  • read more about [00866]

[00869] Theory, numerics and data driven methods for fluids

  • Abstract : Despite recent progress in the study of turbulent fluids, to date our mathematical understanding of it remains fundamentally incomplete. Furthermore, recent work on non-uniqueness of weak solutions and lack of global well-posedness of fluid equations, make their study even more pertinent and urgent. This mini-symposium will bring together researchers at all career stages to share their recent results on the interplay of topics such as uniqueness, regularity, boundary-layer theory, asymptotic dynamics and their connections to data assimilation, parameter estimation, machine and physics-informed deep learning algorithms, porous media flow simulations, and the study of statistical and stochastic solutions.
  • Organizer(s) : Animikh Biswas, Jing Tian
  • read more about [00869]

[00874] Recent advances in the analysis and numerics for phase-field models

  • Abstract : Phase-field models are a powerful tool for studying the dynamics of phase transformations and internal structures in materials. In recent years, there have been significant advances in the analysis and numerical techniques for phase-field models. These advances range from innovative solution concepts and modelling approaches to structure inheriting numerical schemes together with adaptive mesh refinements.
    These methods have led to a deeper understanding of the underlying physics and have had a wide range of applications in areas such as materials science, biology, and engineering.
  • Organizer(s) : Dietmar Hömberg, Robert Lasarzik
  • read more about [00874]

[00876] Inverse Problems in Partial Differential Equations and Graphs

  • Abstract : The minisymposium discusses recent development on inverse problems for partial differential equations on manifolds and inverse problems on graphs. Inverse problems typically study the reconstruction of system parameters and geometric or combinatorial structures from indirect measurements. They naturally appear in various imaging problems such as in geophysics, medical imaging, network tomography, material science and non-destructive testing. Many inverse problems are highly sensitive to noise, and understanding this unstable nature is important to applications. Inverse problems on manifolds and graphs in general exhibit different nature, and this minisymposium seeks new connections between them.
  • Organizer(s) : Matti Lassas, Jinpeng Lu, Lauri Oksanen
  • read more about [00876]

[00877] Mathematical and Computational Methods for Topological Materials

  • Abstract : Topological materials are a class of quantum materials whose properties are preserved under topological transformations. The delicate structures of these materials admit novel and subtle propagating wave patterns which are immune to backscattering from disorder and defects. Recent years have witnessed vast of new experiments and theories about the wave phenomena in topological materials. The goal of this minisymposium is to bring together theoretical and applied researchers in these areas to discuss recent advances in the mathematical theories and physical applications. Topics will include analysis of the underlying governing equations, numerical methods on computing edge states, and experimental realizations.
  • Organizer(s) : Hailong Guo, Emmanuel Lorin, Xu Yang
  • read more about [00877]

[00879] Stochastic analysis in mathematical finance

  • Abstract : In this minisymposium the recent advances in mathematical finance will be discussed. The topics include stochastic analysis of jump processes, stochastic optimization, partial differential equations, stochastic calculus of variations, and mathematical aspects of data science for pricing and hedging of financial products. This minisymposium will bring together researchers with the aim to stimulate discussions for both theoretical and practical advancement.
  • Organizer(s) : Takuji Arai, Tomoyuki Ichiba
  • Sponsor : This session is sponsored by the SIAM Activity Group on Financial Mathematics and Engineering.
  • read more about [00879]

[00882] Geometric Shape Generation II: Design

  • Abstract : This mini-symposium is based on the JSIAM activity group “Geometric Shape Generation”, and aims at exhibiting the latest research in this activity group and relevant researchers, especially putting its focus on the design. We discuss the mathematical aspects of design and analysis of shapes under various settings, and special curves and surfaces useful for generating desirable shapes on CAD.
  • Organizer(s) : Yoshiki Jikumaru, Kenji Kajiwara, Kenjiro T. Miura, Masaaki Umehara
  • read more about [00882]

[00886] Numerical methods for stochastic partial differential equations

  • Abstract : Nowadays, the stochastic partial differential equations (SPDEs) are widely accepted as suitable models to understand complex phenomena and have been successfully applied in a broad range of areas including acoustics, electromagnetic and fluid dynamics. It is highly desirable to build efficient and reliable numerical methods, and to analyze their qualitative and quantitative properties: convergence rates (in strong and weak senses), long time behavior, approximation of invariant distributions, preservation of invariants, etc. This Minisymposium aims to provide a platform to show the significance and recent developments in numerical methods for SPDEs, and to foster interactions between academic and industrial researchers.
  • Organizer(s) : Charles-Edouard Bréhier, Jianbo Cui
  • read more about [00886]

[00888] Geometric Shape Generation I: Structures

  • Abstract : This mini-symposium is based on the JSIAM activity group “Geometric Shape Generation”, and aims at exhibiting the latest research in this activity group and relevant researchers, especially putting its focus on the structures, mechanics and analysis. We discuss origami structures and applications, discrete surfaces and shell structures, geometric modeling of specific surfaces and vibration analysis.
  • Organizer(s) : Miyuki Koiso, Makoto Ohsaki, Jun Mitani, Kento Okuda
  • read more about [00888]

[00891] Derivative-Free Optimization Theory, Methods, and Software

  • Abstract : Derivative-free optimization methods aim to solve optimization problems based on function values without using derivatives or other first-order information. They are motivated by problems where the first-order information is expensive or impossible to obtain. Such problems emerge frequently from industrial and engineering applications, including integrated circuit design, aircraft design, and hyperparameter tuning in artificial intelligence. This minisymposium will provide a platform for researchers and practitioners in derivative-free optimization to discuss the recent advances in theory, methods, and software in this area.
  • Organizer(s) : Serge Gratton, Zaikun Zhang
  • read more about [00891]

[00893] Higher Order-type Optimization Methods for Machine Learning

  • Abstract : Higher order optimization mechanisms are popular and powerful tools to accelerate, robustify, and enhance the performance of first order algorithms. Albeit the high and general prevalence of first order schemes, deterministic and stochastic higher order-type methods have recently gained increasing attention and have been successfully utilized to solve challenging large-scale learning tasks, reinforcement learning problems, and other big data applications. The purpose of this minisymposium is to highlight recent advances and discuss novel techniques and strategies in the development and analysis of deterministic and stochastic higher order-type methods for large-scale minimization problems and machine learning applications.
  • Organizer(s) : Andre Milzarek, Zaiwen Wen
  • read more about [00893]

[00897] Nonlinear and nonlocal models: analysis and numerics

  • Abstract : The focus of the minisymposium will be on different aspects of nonlocal operators including regularity and numerical analysis of solutions to equations driven by fractional and nonlocal operators. In the recent years nonlocal models showed effectivity in describing phenomena involving different singularities. We aims to bring together leading experts and young researchers interested in nonlocality, in particular for nonlinear problems, including:
    Numerics and Scientific Computing, Modeling and Applications, Analysis of Partial Differential Equations, Calculus of Variations.
  • Organizer(s) : Anna Kh.Balci, Abner J. Salgado
  • read more about [00897]

[00908] Machine Learning and Data-Driven Applications using Geometric Integration

  • Abstract : Machine learning techniques are becoming increasingly prominent at solving complex dynamical systems and utilized in data-driven applications, such as inverse problems and model discovery. Yet, important geometric and physical structures have not traditionally been incorporated in such approaches, leading to loss of accuracy in long-term predictions. This minisymposium aims to bring together researchers from diverse groups to improve on machine learning techniques using ideas inspired by geometric integration.
  • Organizer(s) : Elena Celledoni, James Jackaman and Andy Wan
  • read more about [00908]

[00911] Sparse Linear Solvers for Computational Science at Extreme Scales

  • Abstract : Sparse linear solvers are a basic component in the tool chain for scientific applications; solution of spa
    rse linear systems is indeed one of the main computational kernels in physics-driven models for numer
    ical simulation and, more recently, also in data-driven models. The current challenge of exascale requir
    es to rethink numerical algorithms for efficient exploitation of heterogeneous massively parallel comput
    ers, embedding multi/many-core processors. In this MS we bring together some very active researcher
    s in this field to discuss recent advancements in the development of highly scalable algorithms and sof
    tware for solving and preconditioning sparse linear systems on modern high-end supercomputers.
  • Organizer(s) : Pasqua D’Ambra, Carlo Janna
  • read more about [00911]

[00913] Geometric Mechanics and Related Topics

  • Abstract : Geometric mechanics is a research branch of modern differential geometric formulation for Lagrangian and Hamiltonian systems in mechanics, including related dynamical systems theory such as Hamiltonian bifurcations. Through the breakthrough of the famous symplectic reduction by Marsden and Weinstein and others, the scope of the field has expanded from mathematics and physics towards numerical and data sciences. This minisymposium describes the overviews on the main streams of geometric mechanics, including geometric methods in fluids and thermodynamics, and bridges many contemporary related topics such as dynamical systems, numerical simulations, information geometry, and data sciences from the view point of geometric mechanics.
  • Organizer(s) : Daisuke Tarama, Hiroaki Yoshimura
  • read more about [00913]

[00915] The mathematics of quantum interaction models

  • Abstract : Research on quantum interaction models, describing the interaction of matter with light, has recently gained traction because of applications including quantum information science/technology and quantum computation. In contrast, despite the discovery of surprising relations with contemporary mathematical theory, including representation theory, geometry and number theory, the rich mathematical structure underlying these models has yet to be properly recognized. In this minisymposium we introduce the field and give an overview of recent results with a focus on the quantum Rabi model, the most fundamental model for light-matter interaction, and discuss related models in quantum optics and solid-state physics.
  • Organizer(s) : Daniel Braak, Fumio Hiroshima, Cid Reyes Bustos, Masato Wakayama
  • read more about [00915]

[00917] High-dimensional regression and sampling

  • Abstract : The recovery of high-dimensional functions from point evaluations
    or more general linear measurements is a cornerstone of
    approximation theory and numerical analysis. While both are
    well-developed areas, the recent advances in learning theory
    and high-dimensional statistics sparked several new relations and
    tools for approximating functions. The research area hence has
    seen a quite remarkable synthesis of old and new results,
    especially in the context of nonlinear models such as neural
    networks and randomized techniques.
    In this minisymposium we aim at highlighting recent developments
    of high-dimensional regression and sampling with modern
    applications in machine learning and function approximation.
  • Organizer(s) : Mario Ullrich, Andre Uschmajew
  • read more about [00917]

[00919] Recent Advances in Hybridizable Discontinuous Galerkin Methods and Applications

  • Abstract : This minisymposium concentrates on the recent developments in numerical approximations to partial differential equations by hybridizable discontinuous Galerkin methods and other related schemes such as mixed methods, discontinuous Galerkin methods, and hybrid high-order methods. The scope of the talks is open to mathematical theory and applications of the methods in science and computational engineering, including the development of new hybridizable discontinuous Galerkin methods, Hamiltonian structure-preserving methods, grid adaptivity schemes, linear and nonlinear iterative methods, efficient implementations on emerging computer architectures, and robust shock capturing methods.
  • Organizer(s) : Jay Gopalakrishnan, Cuong-Ngoc Nguyen, Jaime Peraire, Manuel A. Sanchez
  • read more about [00919]

[00923] PDEs and variational computational methods in image processing, analysis and classification

  • Abstract : The minisymposium is devoted to a wide range of novel mathematical models and methods for image reconstruction, segmentation and PDEs based deep-learning classification, applied to time-lapse laser scanning microscopy, medical imagery, airborne and satellite optical and SAR data, arising in various fields of application like developmental and cell biology, medicine, nature protection and Earth biodiversity modelling and monitoring.
  • Organizer(s) : Karol Mikula, Serena Morigi
  • read more about [00923]

[00924] Calibration and Validation of Mathematical Models for Biological Systems

  • Abstract : The advent of big data in biology offers many new challenges and opportunities. In this minisymposium, we will discuss advances in calibration and validation of biologically-driven mathematical models, spanning biological applications such as cancer, symbiosis, and circadian rhythms. An equally diverse set of mathematical techniques will be discussed such as Bayesian approaches, agent-based parameter estimation, and machine learning approaches. The first session of our minisymposium will focus on challenges specific to cancer modeling such as leveraging population-level data while preserving inter-individual heterogeneity, while the second session of the minisymposium will focus on broader methodology development in inferring mechanisms from data.
  • Organizer(s) : Lihong Zhao, Tracy Stepien, Erica Rutter
  • read more about [00924]

[00932] Some recent advances on time-modulated metamaterials

  • Abstract : Time-modulated materials constitute the brand new class of metamaterials that is currently raising a huge interest in the mathematics, physics and engineering communities for their ability to achieve extreme wave phenomena. Indeed, by time modulating the properties (acoustic, optical, mechanical, etc.) of materials, one can, for instance, break reciprocity, achieve screening of parts of the domain by wave propagation, and reconfigure materials for optimization. The aim of this minisymposium is to bring together an interdisciplinary group of researchers to discuss the most recent results in the field and to favor interaction between theorists and experimentalists.
  • Organizer(s) : Kshiteej J. Deshmukh, Ornella Mattei
  • read more about [00932]

[00935] Applied mathematics in industry: Success stories of collaboration between academia and industry in Mexico

  • Abstract : The applied collaboration between educational institutions in mathematics and industry is complicated not only from a scientific and technological point of view but also due to intellectual property legislation, organization, response time, and confidentiality. This mini-symposium will present successful real cases of applying mathematics directly to technological development in Mexico and some ideas for achieving greater collaboration.
  • Organizer(s) : Ivete Sanchez Bravo, Giovana Ortigoza Alvarez, Yasmin Rios Solis
  • read more about [00935]

[00936] Recent advances in applications for large-scale data assimilation and inverse problems.

  • Abstract : The development of algorithms for data assimilation (DA) and inverse problems (IPs) has been traditionally driven by very specific applications in engineering, medicine and the geosciences. However, algorithms that were initially tailored for geophysical data assimilation have now been used for solving tomographic inverse problems in engineering. Similarly, developments on imaging methods have been used for DA. This exchange has not only led to further algorithmic developments but also deeper theoretical insights. In this minisymposium we bring together experts on DA and IPs that work at the interface with applied sciences, with the aim of fostering knowledge transfer across disciplines
  • Organizer(s) : Svetlana Dubinkina, Marco Iglesias
  • read more about [00936]

[00941] Numerical methods for Hamilton-Jacobi equations and their applications

  • Abstract : Hamilton-Jacobi equations arise both in modeling front propagation and in decision-making processes (optimal control & differential games). As a result, they have a broad range of applications including seismic imaging, robotic navigation, photolithography, transportation engineering, optimization of medical treatment policies, and data science. Practical usefulness of HJ-based approaches hinges on efficient and accurate numerical methods, which often need to handle anisotropy, degenerate diffusion, and possible discontinuity of viscosity solutions. High-dimensional problems and HJ-based inverse problems pose additional computational challenges. This mini-symposium will focus on recent advances in numerics for HJ PDEs and their innovative use in a variety of applications.
  • Organizer(s) : Samuel Potter, Alexander Vladimirsky, Hasnaa Zidani
  • read more about [00941]

[00949] Optimal and Efficient Algorithms for Inverse Problems

  • Abstract : This minisymposium aims at bringing researchers to share their recent progress and to inspire new ideas in the solution of inverse problems and its applications. Talks will address modeling, and theoretical and computational aspects of numerical methods for solving inverse problems.
  • Organizer(s) : Malena Espanol, Rosemary Renaut
  • read more about [00949]

[00951] Steps Toward Robust and Stable Artificial Intelligence

  • Abstract : Despite significant recent technological advances in Artificial Intelligence (AI), AI systems sometimes make errors and will continue making errors in the future, from time to time. AI errors are usually unexpected; sometimes they are also malicious with the potential to result in dramatic and tragic consequences.Handling and understanding abstract properties of these errors and developing methods of defence against various attacks and instabilities in modern large-scale high-dimensional AI operating in high-dimensional non-stationary world requires appropriate mathematical methods and techniques. This mini-symposium focuses on discussing relevant mathematical machinery for the analysis and verification of AI robustness and stability.
  • Organizer(s) : Ivan Tyukin, Alexander N. Gorban, Desmond Higham
  • read more about [00951]

[00952] Numerical methods for emerging flow problems in geosciences

  • Abstract : In recent years, various flow problems have emerged in geosciences, and they demand development in numerical methods to meet scientific research and industry application needs. Such problems are generally multiscale and multiphysics; they involve various phenomena at different spatial and temporal scales, and our capabilities to simulate the problems remain limited. An example problem is the 2010 Gulf of Mexico oil spill that started from a small-scale effluent jet at the bottom of the ocean and then migrated to water surfaces as floating film patches with huge horizontal sizes. These problems are beyond the reach of conventional approaches, and their simulation is challenging, and new methods have to be developed. This symposium provides researchers with a platform to present their algorithms and simulations for these flow problems, including porous media flows, atmosphere flows, ocean flows, ocean ecosystems, etc. The presenters will discuss encountered difficulties, possible approaches, and future directions. The symposium contains presentations on computational methods and simulation of actual industry problems.
  • Organizer(s) : Jose E. Castillo, Hansong Tang, Anne-Claire Bennis
  • read more about [00952]

[00955] Incorporating Immune System and Heterogeneous Dynamics into Infectious Disease Modeling

  • Abstract : Pathogen interactions with immune systems are dynamic. Modeling these nonlinear interactions has traditionally been a separate endeavor from modeling disease spread in a population. In
    the current environment of accelerating zoonotic spillovers, in which increasing numbers of pathogens are adapting to new hosts, habitats that include within-host innate and adaptive immune
    systems, as well as sequence-level data, should not be ignored. We bring together a diverse group of researchers to address the resulting multilevel modeling challenges. The three sessions in this
    minisymposium will focus on:
    1. vector-borne pathogens
    2. Any Pathogen Transmission Mode
    3. air- and water-borne pathogens
  • Organizer(s) : Julie Allison Spencer, Fabio Milner, Joel C. Miller
  • read more about [00955]

[00957] Mathematics of thin structures

  • Abstract : Many models in mechanics, physics and biology invoke thin structures and physical processes therein. With this minisymposium we intend to bring together mathematicians working on the modeling, mathematical analysis and numerics of such models. Topics of particular interest include variational models for mechanical thin films and rods, e.g., featuring wrinkling, prestrain, microstructure, disclocations and their numerical treatment.
  • Organizer(s) : Patrick Dondl, Stefan Neukamm
  • read more about [00957]

[00959] Numerical modeling and analysis in electromagnetic applications

  • Abstract : This mini-symposium presents numerical modeling, analysis and simulation using finite element method in the field of electromagnetism at various scales, from analyzing quantum mechanical effects to calculating the scattering of electromagnetic wave in free space. The Schrodinger-Poisson system of equations to calculate electron states in 3D hetero-structure will be discussed. Numerical modeling of display device will be presented and numerical analysis will be explored for microwave circuits. The electromagnetic vector wave scattering problem is solved to analyze the field characteristics in the presence of stealth platform. This mini-symposium also introduces several challenging issues in these applications and proposes their solutions.
  • Organizer(s) : Eunjung Lee
  • read more about [00959]

[00960] Hierarchical Low Rank Tensors and DNNs for High-dimensional Approximation

  • Abstract : The minisymposium aims at bridging the gap between low rank tensors and neural networks for learning
    of high-dimensional functions, in particular in the context of uncertainty quantification.
    The talks will highlight different aspects ranging from approximation to optimization.
    The underlying motivation is to understand strengths and difficulties of network based
    representations and to identify structures and techniques that can be combined beneficially.
  • Organizer(s) : Martin Eigel, Lars Grasedyck
  • read more about [00960]

[00961] Reinforcement Learning for Financial Modeling

  • Abstract : This minisymposium, sponsored by the SIAM activity group in Financial Mathematics, focuses on the development of novel reinforcement learning paradigms for solving problems in financial mathematics. The RL paradigm aims to approximate solutions to stochastic control problems in discrete time in a manner that is agnostic to the dynamics of environment and its response to agents’ actions. The collection of talks covers the incorporation of time-consistent risk-measures into RL, provides explicit error bounds on exploratory control, and develops a new approach to eliciting agents’ risk preferences in an novel inverse RL framework.
  • Organizer(s) : Sebastian Jaimungal
  • Sponsor : This session is sponsored by the SIAM Activity Group on Financial Mathematics and Engineering.
  • read more about [00961]

[00963] Nonconvex and nonsmooth optimization

  • Abstract : Optimization is a powerful tool to harnesses the power of big data in statistics, machine learning, compressed sensing, etc. Many modern optimization problems involve nonconvexity and nonsmoothness which creates a major gap between the actual solutions being computed and the global optimizers that traditional analysis investigates. Such challenges are new opportunities for researchers to make fundamental contributions to analytical and numerical methods for optimization. This mini-symposium aims to gather researchers with similar interests in optimization and foster in-depth discussions.
  • Organizer(s) : Sunyoung Shin
  • read more about [00963]

[00965] New mathematical trends in weather prediction and inverse problems

  • Abstract : In applied mathematics including inverse problems, problems are often ill-posed and/or data are limited. Such difficulties have been treated in different subfields of science: medical imaging, data assimilation in numerical weather prediction, etc. In this minisymposium, researchers from data assimilation and inverse problems will gather and discuss different tools and ideas in applied mathematics to handle complicated problems and incomplete data.
  • Organizer(s) : Shunji Kotsuki, Wei Li, Manabu Machida
  • read more about [00965]

[00966] Theoretical and computational advances in measure transport

  • Abstract : Transportation of measures is an important topic in applied mathematics based on constructing invertible transformations between random variables. These transformations can include deterministic maps, plans and stochastic processes. In recent years, this broad topic has seen wide applications for generative modeling, inference, and comparing probability distributions. Despite these successes, efficiently constructing these transformations remains challenging, especially in high-dimensional problems with complex data manifolds. This minisymposium will present novel statistical analysis and computational methods that widen the breadth of transport methods in statistics and scientific computing applications.
  • Organizer(s) : Ricardo Baptista, Arnaud Doucet, Tiangang Cui, Youssef Marzouk
  • read more about [00966]

[00967] Stochastic Dynamical Systems and Applications in Data Science

  • Abstract : The theory of Dynamical Systems has helped us to analyze models in various quantitative and qualitative ways, but when considering noisy data with tools in stochastic analysis, there are still challenges in many applications to get precise models for different kinds of processes. On the other hand, lots of innovative methods in data science are now opening up new research directions and broadening the range of research fields where conventional dynamical systems can play a role. Therefore, it is important to consider interplanetary research fields between stochastic dynamics and machine learning: how to analyze stochastic dynamic systems based on observation data instead of studying models analytically? And how to analyze Machine Learning algorithms using tools from the theory of stochastic dynamical systems? In this minisymposium, we seek to find a deeper understanding of the mathematical foundations of the state-of-the-art ideas and techniques in data science as well as its applications in understanding stochastic dynamics, through algorithm development, theoretical analysis, and/or computational implementation. Fields can be covered by but are not limited to Stochastic Analysis, Inverse Problems, Stochastic Optimal Control, Numerical Analysis, Optimization, Topological Data Analysis, Nonparametric Statistics, Uncertainty Quantification, Meta Learning and Deep Reinforcement Learning, etc.
  • Organizer(s) : Ting Gao, Xiaoli Chen, Jinqiao Duan
  • read more about [00967]

[00969] Eigenvalue Problems in Electronic Structure Calculations

  • Abstract : The first principles electronic structure calculations have become important tools for studying the material mechanism, understanding and predicting the material properties, and have achieved great success. The key mathematical models for electronic structure calculations are eigenvalue problems or equivalent forms. There are still many challenges on the design of highly efficient and highly accurate computational methods for dealing these eigenvalue problems or equivalent forms, especially for larger system. The purpose of this mini-symposium is to provide a platform for exchanging the recent developments on the numerical methods and theories for eigenvalue problems or equivalent forms arising in electronic structure calculations, and exploring the topic of further research and collaborations.
  • Organizer(s) : Huajie Chen (Beijing Normal University), Xiaoying Dai (Academy of Mathematics and Systems Science, CAS), Xin Liu (Academy of Mathematics and Systems Science, CAS), Yuzhi Zhou ( Institute of Applied Physics and Computational Mathematics)
  • read more about [00969]

[00970] High Performance Linear Algebra Software toward Extreme Heterogeneity

  • Abstract : Today, the leadership High Performance Computing (HPC) systems accommodates exa-flops capability through massive parallelism from thousands of heterogeneous compute nodes. This poses a huge challenge for math library developers to derive scalable performance. This heterogeneity trend is likely to continue and it is anticipated that future computing systems could have multiple of accelerators or special processing options to accommodate a variety of application needs. This poses a new challenge for handling multiple types of computing node architectures. In this session, we will discuss the latest research on implementing linear algebra libraries for extreme scale heterogeneous computing systems.
  • Organizer(s) : Keita Teranishi and Pedro Valero Lara
  • read more about [00970]

[00974] Finite element complexes and multivariate splines

  • Abstract : Differential complexes encode important structures in a wide range of problems, and there has been a surge of interest in discretizing these complexes. Examples include the de-Rham complex, the elasticity complex, and, more recently, other BGG complexes. Algebraic and differential geometric structures play an important role in the construction of finite elements and multivariate splines. This mini-symposium aims to bring together researchers to discuss recent progress in the construction of discrete complexes and the emerging connections between algebra, geometry and discretization.
  • Organizer(s) : Kaibo Hu, Nelly Villamizar
  • read more about [00974]

[00975] Data-driven methods for learning mathematical models

  • Abstract : Mathematical models are important tools helping people understand scientific phenomena in many disciplines. Recent advances in technologies make it easier to collect huge amounts of data, which offers new opportunities on data-driven methods for the identification of mathematical models behind a phenomenon. This minisymposium focuses on learning mathematical models from an observed data set. Topics in this field include identification of governing equations, reconstruction of certain functions in an equation, and learning operators between input and output spaces. Recently, there have been interesting developments in this field, varying from problem formulations, efficient solvers, techniques on improving robustness to theoretical analysis. This minisymposium brings together researchers to discuss recent advances, challenges and applications in this field.
  • Organizer(s) : Yuchen He, Hao Liu
  • read more about [00975]

[00977] Recent advances on sparse optimization: algorithms and applications

  • Abstract : Sparse optimization arises from various application problems in statistics and machine learning. In the past decades, the well-known Lasso model and its variants have been extensively studied, and many efficient methods have been well explored correspondingly. Nevertheless, efficient methods for solving more and more difficult models involving sparse structures are still under explored. Considering the high dimension of the application problems, it is important to highly utilize their structures thus to obtain efficient algorithms. In this minisymposium, we focus on recent development of the algorithms and applications of the modern sparse optimization.
  • Organizer(s) : Lei Yang, Tianxiang Liu
  • read more about [00977]

[00980] Recent Advances in Applied Mathematics including adopting machine learning and deep learning

  • Abstract : Applied mathematics is the field of mathematical methods and statistical reasoning to solve practical problems of a scientific or decision-making nature in a variety of subjects, engineering, medicine, physical and biological sciences. In particular, Industrial mathematics is one of the fastest-growing branches in applied mathematics and plays a growing role in developing robotics and automation systems, mechanical engineering, medicine, and others. It is concerned with developing and finding the most efficient mathematical methods to solve problems arising in recent.
    This session consists of recent research trends on applied mathematics, numerical analysis to find optimal solutions, and statistical methodology for uncertainty inference including machine learning (deep learning) applications.
  • Organizer(s) : Taeyoung Ha, Soon-Sun Kwon
  • read more about [00980]

[00981] Various Methods for the Analysis of PDEs

  • Abstract : There has been a strong interaction between classical analysis (theory of function spaces, harmonic analysis, geometric analysis, asymptotic analysis, real analysis, functional analysis, etc ) and nonlinear partial differential equations.
    This minisymposium provides a forum to discuss the latest methods for the analysis of nonlinear partial differential equations arising in Mathematical Physics and to exchange ideas for further developments.
  • Organizer(s) : Vladimir Georgiev (University of Pisa, Waseda University), Tohru Ozawa (Waseda University)
  • read more about [00981]

[00982] Partial Differential Equations in Fluid Dynamics

  • Abstract : This mini-symposium is aimed to bring together the leading experts as well as promising young researchers to present their recent results in partial differential equations with applications in fluid dynamics. Key topics focus on the most challenging open problems in the area such as global regularity, uniqueness of solutions, singular limits, boundary layers behavior, and free boundary problems, etc. It also provides a premier interdisciplinary forum for senior and junior researchers to exchange their experiences in the study of partial differential equations. The talks will span from analysis through modeling and computation to applications of partial differential equations.
  • Organizer(s) : Yachun Li, Ming Mei, Shinya Nishibata, Ronghua Pan
  • read more about [00982]

[00988] Treatment of infinity and finite-time singularities in differential equations

  • Abstract : Finite-time singularities arise in various problems in differential equations and have been ones of the most important issues towards the comprehensive understanding of the global nature of systems for decades.
    In recent years, various universal machineries from geometry, dynamical systems and numerical analysis have been proposed and applied to unraveling wide variety of finite-time singularities, as well as appropriate treatments of infinity, and the common nature among them.
    This symposium aims at sharing state-of-the-art topics of singularity, instability and unboundedness manifesting in finite times in differential equations towards new foundations of these complex and rich characteristics.
  • Organizer(s) : Kaname Matsue
  • read more about [00988]

[00989] Structure and dynamics in complex biological systems

  • Abstract : Biological systems have been identified as complex networks consisting of many biomolecules and interactions between them. The dynamics of molecular activities based on such networks are considered to be the origin of biological functions. In the recent progress of mathematical sciences, various methods have been developed to determine important aspects of dynamical properties based on network topologies. Such theories may become breakthroughs to solve the dynamics of complex biological systems. In this symposium, we introduce a wide variety of topological approaches and discuss their future perspectives from both mathematical and biological points of view.
  • Organizer(s) : Takashi Okada, Yuji Hirono, Atsushi Mochizuki
  • read more about [00989]

[00994] Mathematical modeling approach in pharmacokinetics/pharmacodynamics

  • Abstract : Pharmacokinetics/pharmacodynamics (PK/PD) modeling is an essential component of drug discovery and development. PK modeling describes the relationship between dose and drug concentration while PD modeling quantifies the relationship between drug concentration and therapeutic effects. A model-based simulation could provide a scientific decision-making information in new drug development process and the prediction power for the success of clinical trial. The session is dedicated to discuss recent advances and challenges in PK/PD modeling and simulation to overcome fundamental limitation and conventional approaches.
  • Organizer(s) : Soyoung Kim, Seongwon Lee
  • read more about [00994]

[01000] Advances in random dynamical systems and ergodic theory

  • Abstract : Random or non-autonomous dynamical systems provide useful and flexible models to investigate systems whose evolution depends on external factors, such as noise or seasonal forcing. In recent years, there have been significant advances in the ergodic-theoretic investigation of random dynamical systems, allowing for an enhanced understanding of statistical properties, coherent structures, and the complicated interplay between noise and chaotic dynamics. This minisymposium presents the work of experts and emerging mathematicians working in this vibrant and evolving field, featuring both general-audience lectures giving an overview of the field, and expert-level talks on cutting-edge advances.
  • Organizer(s) : Alex Blumenthal, Cecilia Gonzalez-Tokman
  • read more about [01000]

[01003] Mathematical Modeling and Simulation in Land-Ocean Transition Zones

  • Abstract : Around 30% of global populations live in coastal zones, which are facing increasing threatens from both land and ocean. These include saltwater intrusion, storm surge, ecosystem degeneration and coastal erosion, to name a few. Mathematical modeling and simulation on multiple processes in the land-ocean transition zones are essential to understand intrinsic mechanisms and make reliable predictions for the future. This symposium aims to exchange new advances on mathematical modeling, numerical simulation, operational applications, and other relevant topics in hydrodynamic, ecological, and other processes in the land-ocean transition zones, thus to promote interdisciplinary collaborations in applied mathematics and earth science.
  • Organizer(s) : Dong Ye, Hui Wu, Hairong Yuan, Shengfeng Zhu
  • read more about [01003]

[01011] Analysis and Design of Dynamical Circuits, Systems and Networks

  • Abstract : In order to properly design electric circuits and other dynamical systems and networks, it is important to understand their structures and dynamics through mathematical analysis. This minisymposium brings together four engineering researchers working on dynamical circuits, systems and networks to present their recent research results on analysis and design from various perspectives such as discrete harmonic analysis, bifurcation analysis, model order reduction, mathematical programming and contraction mapping principle, with applications to metamaterials, communications, control and signal processing. Through their talks, the importance of mathematics in engineering will be demonstrated.
  • Organizer(s) : Norikazu Takahashi
  • read more about [01011]

[01024] Multiscale modeling and simulation methods of inhomogeneity in defected systems

  • Abstract : Inhomogeneity, as the source of various multiscale effects in systems such as materials and data, play essential roles in the material properties and the data structure of these defected systems with multiple scales. The complexity of modeling defects and their impact to the properties of the systems present new challenges for mathematical modeling and analysis. Multi-scale, multi-physics and multi-fidelity models are required to accurately describe the complicated phenomena associated with the inhomogeneity. Speakers in this minisymposium will discuss recent advances in modeling approaches and simulation methods, and new findings obtained in analysis and simulations.
  • Organizer(s) : Shuyang Dai, Luchan Zhang
  • read more about [01024]

[01028] High-order numerical methods for nonlinear PDEs

  • Abstract : Nonlinear partial differential equations (PDEs) have been widely used in various fields, such as thermodynamics, biology, material science, electromagnetism, to name just a few. Even though the history of the study on numerical PDEs is quite long, there are still many open and important questions. In this mini-symposium, we aim at gathering researchers working on the topic to discuss recent advances on the development and numerical analysis of high-order numerical methods for approximately solving nonlinear PDEs, in order to further promote the developments of the topic.
  • Organizer(s) : Buyang Li, Weifeng Qiu, Zhi Zhou
  • read more about [01028]

[01029] Extremal Combinatorics and Probabilistic Combinatorics

  • Abstract : Combinatorics studies discrete objects and their properties, which has striking applications in statistical physics, biology, computer science and so on. This minisymposium we propose will focus on Extremal Combinatorics and Probabilistic Combinatorics, which are two of the most central branches of modern combinatorial theory. We aim to attract the top researchers to the minisymposium, where they will present their recent results, discuss open problems, exchange research ideas, and initiate new collaborations. We expect the minisymposium will have a lasting impact in this area.
  • Organizer(s) : Guanghui Wang,Shenggui Zhang
  • read more about [01029]

[01036] Progress in Mathematical Programming Methods and Applications

  • Abstract : (Mixed-)integer (non-)linear optimization has been one of the biggest successes in transferring mathematical insight into real-world impact. Due to the generality of the integer programming model combined with continuous improvement in solving capability, the list of industrial applications is virtually endless. While the problems are usually NP-hard in theory, in practice, an incredible number of real-world instances can be solved within seconds. The algorithmic progress outpaced the increase in computer performance by far; combined, the solver speed has exponentially grown over the last 40 years. We present the latest state-of-the-art and a glimpse into the future.
  • Organizer(s) : Thorsten Koch, Yuji Shinano
  • read more about [01036]

[01037] From interacting particles to social dynamics: modelling and analysis of agent-based systems

  • Abstract : Modelling of social dynamics, including social media or epidemics, has a long tradition.
    Recently, stochastic modelling has become more relevant, touching upon such diverse aspects as
    uncertainty quantification or robust control. Despite recent advances,
    there is still a gap between the theoretical analysis of models and the model calibration based on empirial
    data. In this minisymposium, we aim at bringing together researchers from dynamical systems, scientific computing and empirical research to discuss connections between agent-based models, particle systems and social simulation, with particular focus on the numerical analysis of agent-based models, reduced-order models and the role of random forcing.
  • Organizer(s) : Ana Djurdjevac, Carsten Hartmann
  • read more about [01037]

[01040] Optimization and its Applications

  • Abstract : This minisymposium focuses on recent advances in mathematical optimization with versatile subjects such as optimal control, variational analysis, dynamical systems, nonlinear functional analysis, network systems, fixed point theory, and so forth. Application topics discussed here mainly lie in mathematical economics and engineering, in particular, optimal economic growth, general equilibrium analysis, utility theory, and Marxian economics as well as generative adversarial networks, but possible applications are not necessarily restricted to such problems. The minisymposium serves for a communication with applied mathematics in different areas.
  • Organizer(s) : Nobusumi Sagara, Alexander Zaslavski
  • read more about [01040]

[01043] Applications of applied mathematics towards ocean engineering and related technologies

  • Abstract : A reasonable knowledge about the response of nonlinear offshore dynamical systems under environmental loads is necessary but challenging. This is due to the coupling of internal forces along with external excitations. In this mini symposium, mathematical model of nonlinear offshore systems will be considered with the intention of keeping the response close to the desired one. This can be achieved using sub-optimal control mechanism derived from nonlinear quadratic regulator theory and also its associated data can be visualized via ensemble statistical sense.
  • Organizer(s) : Manikandan R, R.Sakthivel
  • read more about [01043]

[01050] Delay equations in mathematical biology

  • Abstract : The mathematical modelling of many biological systems require the application of delay differential equations, since the future evolution of such systems depend of the duration of various processes. Examples range from cell cycle length in cell biology, maturation delay in population dynamics, and latency period in epidemiology . Time delays naturally occur in the control of biological systems as well. On the other hand, delay differential equations pose great challenges from the modelling, analysis, and numerical points of view, especially if nonlinearities are present and the delay is defined in a more involved way, such as state dependent delays. The goal of this minisymposium is to highlight recent advances and novel applications of delay equations in the field of mathematical biology.
  • Organizer(s) : Gergely Röst
  • read more about [01050]

[01054] Scalable Solvers for Multiphysics Problems

  • Abstract : Many applications in computational sciences and engineering involve multiple physical quantities. Accurate simulations of multiphysics problems involve the solution of large sparse linear equation systems consisting of blocks that correspond to the different physics and their coupling. This has to be taken into account when designing scalable and efficient solvers for such kind of problems.This minisymposium addresses the development and implementation of the solution strategies for large-scale complex multiphysics systems as well as the presentation of results on modern supercomputers.
  • Organizer(s) : Alexander Heinlein, Matthias Mayr
  • read more about [01054]

[01058] Recent advances in stochastic nonlinear dynamics: modeling, data analysis

  • Abstract : Stochasticity, nonlinearity and complexity can be found and used in many different fields, including the natural sciences such as mechanics, physics, biology, neuroscience as well as technology and engineering fields such as aeronautics, astronautics, information theory and computer science. The symposium focuses on the stochastic modeling and data analysis in nonlinear dynamical system. The contributions cover various fields such as Brownian motion, Levy process, and fractional Brownian motion et al and applications, data analysis methods and techniques combining complex systems science and machine learning. This symposium provides a forum to discuss science, strengthen relationships, create new contacts and gain a direct experience of new progresses in stochastic modeling and data analysis.
  • Organizer(s) : Yong Xu, Bin Pei, Yongge Li
  • read more about [01058]

[01060] Exploring Arithmetic and Data Representation Beyond the Standard in HPC

  • Abstract : This mini-symposium explores the potential of utilizing arithmetic operations and data representations other than FP32 (single-precision) and FP64 (double-precision) in numerical computations with HPC. Such attempts include not only higher or lower floating-point precision, but also integer representation, error handling, rounding, etc., and are intended not only for performance but also for quality and reliability of computations. We explore various angles of this challenge, from low-level implementations to applications.
  • Organizer(s) : Daichi Mukunoki, Naohito Nakasato, Tomonori Kouya
  • read more about [01060]

[01063] Challenges in biomathematical modeling and control

  • Abstract : In biomathematics, theoretical and data modeling showed to be big challenges, both at the macroscopic and microscopic levels. Complex networks are proved to be a rather powerful theoretical tools in epidemics, neuroscience, protein functions, ecology and cancer. When considering space-time analysis of big data, we have at our disposal a variety of methods, wavelets, Bayesian, Topological Data Analysis, Cross-entropy, Fuzzy logic, among others. The choice of a method is linked to the kind of questions we want to target.
    The emergency experienced with pandemics showed also the importance of being able to make predictions and to develop methods of control.
  • Organizer(s) : Stefanella Boatto, Bernard Cazelles, Ludovick Gagnon
  • read more about [01063]

[01064] Recent Advances on Manifold Optimization

  • Abstract : Manifold optimization has been developing remarkably with its rich theory and a wide variety of applications. This minisymposium aims to pioneer state-of-the-art in the field. The talks include optimization algorithms on manifolds, e.g., Riemannian adaptive and interior point methods, ADMM, local stochastic algorithms, a CG method for multiobjective optimization, and an augmented Lagrangian method based on sequential optimality conditions. Furthermore, efficient optimization on specific manifolds such as Grassmann and Stiefel manifolds and the manifold of fixed-rank positive-semidefinite matrices, and applications to practical problems, e.g., problems under differential privacy, low-rank matrix optimization problems, and design of tight minimum-sidelobe windows, are addressed.
  • Organizer(s) : Hiroyuki Sato, Kensuke Aihara
  • read more about [01064]

[01065] Mathematics and its Applications of Risk and Decision

  • Abstract : In the age of uncertainty highlighted by events such as the financial crisis and the outbreak of COVID-19, policy makers need to acquire a holistic yet rigorous understanding of decision making under risk. This symposium aims to bring together academic researchers of diverse background to showcase the latest development of the mathematical theories and applications for risk and decision. The covered topics include stochastic control, optimal decision-making, model uncertainty and their applications in fields like economics and insurance. The collective effort of the expert speakers from this symposium will constitute impactful decision protocols and policy implications.
  • Organizer(s) : Alex S.L. Tse, Andrea Macrina
  • read more about [01065]

[01070] PDE Based Image Processing

  • Abstract : Partial differential equation (PDE) method shows better performance than traditional image processing methods, and some new ideas have never been considered in traditional image processing, such as affine invariant feature extraction, image structure and texture decomposition, etc. This method aims to establish the mathematical model of a partial differential equation, and then make the image change according to the PDE, and finally achieve the desired effect. PDE models are mathematically robust and also provide insights in developing new algorithms. Fusion of AI/ML methods and PDE models makes it even more effective.
  • Organizer(s) : B. V. Rathish Kumar
  • read more about [01070]

[01071] Recent Advances on Groebner Bases and Their Applications

  • Abstract : The purpose of this mini-symposium is to share recent developments in the theory of Gr\”obner bases and their applications. Gr\”obner bases have been studied by many researchers and have been used in various fields including commutative algebra, algebraic geometry, and engineering. Solving interesting open problems and devising efficient algorithms are still highly desired. In this mini-symposium, we will discuss, in particular, the complexity of Gr\”obner basis computation, applications of Gr\”obner bases, and algorithms for Gr\”obner bases in parametric, non-commutative, or valuation polynomial rings.
  • Organizer(s) : Yuki Ishihara
  • read more about [01071]

[01072] Data-Driven Methods in Scientific Machine Learning

  • Abstract : The ample availability of data for scientific problems, in addition to developments in hardware and software for machine and deep learning have changed the way mathematicians approach problems, particularly those in numerical analysis and scientific computing. Rather than relying strictly on the physics of the problem at hand for modeling and computing, data-driven methods incorporate observational data to inform their solutions. This session focuses on significant advances in data-driven methods and machine learning for a variety of problems in scientific computing, including but not limited to: function approximation, inverse problems, dynamical systems, dimensionality reduction, and generally scientific machine learning.
  • Organizer(s) : Victor Churchill, Dongbin Xiu
  • read more about [01072]

[01074] Approximation Theory, Approximation Methods and Applications (ATAMA)

  • Abstract : Approximation theory is a subject that serves as an important bridge between pure and applied mathematics. It has become a very important branch of mathematics and is of fundamental support of many new disciplines and research areas.The proposed minisymposium aims to merge together active researchers in the following topics:
    polynomial inequalities in the multivariate real and complex fields, pluripotential numerics, kernel-based approximation, generalized sampling type operators and exponential sampling.
    Special attention will be given to applications, modeling, as well as computational and numerical aspects in approximation.
  • Organizer(s) : Leokadia Bialas-Ciez, Stefano De Marchi
  • read more about [01074]

[01077] Recent Advances on Spectral Methods and Applications

  • Abstract : During the past several years, significant progress has been made in spectral methods and applications, especially in challenge problems such as numerical approximations for non-local and high-dimensional partial differential equations, where spectral and high-order methods are often preferred to low-order methods due to high-accuracy and lower memory request. This minisymposium aims to bring together active researchers in related areas to present and discuss their newest advances in both mathematical theory and numerical algorithms of efficient spectral numerical approximations for challenge scientific and engineering applications.
  • Organizer(s) : Hui-Yuan Li (Institute of Software Chinese Academy of Sciences), Li-Lian Wang (Nanyang Technological University), Haijun Yu
  • read more about [01077]

[01081] New Trends in Education of Applied Mathematics, Industry, Technology and Knowledge Transfer

  • Abstract : The field of applied mathematics is constantly evolving and it is important for professionals in the industry amd academics to stay up-to-date with the latest trends and developments. This minisymposium is aimed at discussing how the recent technology developments are changing both how and what we need to teach in undergraduate applied mathematics programs. We will provide a platform for experts to share their insights and experiences on the current and future trends in the education of Applied Mathematics and its applications in industry and technology.
  • Organizer(s) : Dae-Jin Lee (IE University), David Gómez-Ullate (IE University), Luis Vega (UPV/EHU-BCAM)
  • read more about [01081]

[01088] Differential Equations meet Data: Scientific Machine Learning for Cardiovascular Applications

  • Abstract : In silico models offer effective tools to address cardiovascular diseases and quantitatively analyze clinical data. Recently, many methods have been proposed to blend numerical solvers with machine learning techniques. These approaches hold promise for the patient-specific personalization of models and for the acceleration of their numerical resolution. This minisymposium will offer a forum to discuss the state-of-the-art and future lines of research toward an increasingly effective integration between clinical data and numerical simulations
  • Organizer(s) : Francesco Regazzoni, Stefano Pagani, Francisco Sahli Costabal, Simone Pezzuto
  • read more about [01088]

[01098] Elucidating theoretical biology and deep learning by algebraic statistics and topology

  • Abstract : Nonlinear algebra and topology are gaining popularity as a tool for studying theoretical biology including phylogenetics and mathematical neuroscience. Applying these modern mathematical fields can lead to a breakthrough in the important fields. However, there can be rather a limited access to the practical resources for the sophisticated mathematical methods. Thus, it is important to introduce the modern algebraic and topological methods and exchange their hands-on skills in person. In this minisymposium, each speaker will talk about the combinations of modern mathematical methods with statistical machine learning and their applications.
  • Organizer(s) : Keiji Miura
  • read more about [01098]

[01099] Physics-based and data-driven modeling for digital twins

  • Abstract : Digital twins have emerged in recent years as a paradigm for the lifetime operation of physical assets. A digital twin is an exact virtual representation of a physical asset that uses real-time data. The construction of a digital twin requires the use and sometimes union of different modeling methods that include physics-based modeling, data assimilation, data-driven modeling, and model reduction. This minisymposium has the goal to bring together researchers working on the theory and practice of modeling in the context of digital twins with a particular focus on industrial applications.
  • Organizer(s) : Karim Cherifi, Ion Victor Gosea
  • read more about [01099]

[01107] Efficient methods for Isogeometric Analysis

  • Abstract : Isogeometric Analysis is a relatively novel technique used to solve PDEs. The same functions that are used to describe the computational domain (typically B-Splines or NURBs) are used also to approximate the solution of the considered PDE. This approach brings several advantages with respect to the classical finite element method, but it also leads to new challenges, in particular from the computational point of view. This mini-symposium aims at gathering researchers that contribute to the improvement of the efficiency for isogeometric methods.
  • Organizer(s) : Mattia Tani, John Evans, Angelos Mantzaflaris, Stefan Takacs
  • read more about [01107]

[01111] Mathematical and numerical analysis on blow-up phenomena

  • Abstract : Blow-up phenomena appear in various science fields. They are described by partial differential equations. It is difficult to construct a general theory for the blow-up phenomena of partial differential equations. Therefore, we need to approach them from both mathematical and numerical aspects. In this mini-symposium, we discuss blow-up time and blow-up profile from the perspectives of mathematical and numerical analysis. The purpose of this minisymposium is to bring together researchers from both mathematical and numerical analysis to discuss recent advances on blow-up phenomena.
  • Organizer(s) : Takiko Sasaki
  • read more about [01111]

[01136] Advances in Variational Models and PDEs for Images

  • Abstract : Variational models and partial differential equations have been used to model various aspects of images, and this has led to many effective approaches to solve diverse image processing problems, such as image denoising, segmentation, reconstruction. This minisymposium will provide a venue for the latest advances in analysis and algorithm design for variational models and PDEs, and we will showcase state-of-the-art applications in image processing.
  • Organizer(s) : Gunay Dogan, Ronald Lok Min Lui
  • read more about [01136]

[01138] Advances in embedded and Eulerian methods for fluid-structure interaction

  • Abstract : This mini-symposium brings together young researchers and experts working on numerical modeling of fluid-structure interaction problems. To avoid the remeshing step involved in ALE method, other approaches based on non-body fitted grids have become more and more attractive. One is the embedded approach where a Lagrangian structure solver interacts with an Eulerian fluid solver to enforce appropriate conditions on the immersed interface. Another one is the fully Eulerian approach where both the fluid and the elastic structure are discretized on the same grid. This mini-symposium welcomes contributions to embedded and fully Eulerian numerical modelling for both compressible and incompressible FSI.
  • Organizer(s) : Michel Bergmann, Thomas Milcent
  • read more about [01138]

[01140] Modelling and simulation of electro-chemo-mechanical processes in batteries and fuel cells

  • Abstract : The mini-symposium addresses various aspects of modelling and simulation of electro-chemo-mechanical processes in batteries and fuel cells. It is aimed at scientists from academia and industry and focuses on the physical and mathematical fundamentals of the processes rather than the system level. Aspects such as model derivation at the microscopic level and its upscaling, model validation and model reduction are the focus of this mini-symposium. It covers contributions on lithium and sodium ion and redox flow batteries, solid oxide and polymer electrolyte fuel cells, among others.
  • Organizer(s) : Thomas Carraro, Manuel Landstorfer, Yosuke Komatsu
  • read more about [01140]

[01145] High dimensional recent computational approaches in finance and control

  • Abstract : Most high-dimensional problem in quantitative finance face computational difficulties. However, recent advances in training of neural networks provide an excellent opportunity to reconsider these models. Indeed, the influential papers of E, Han and Jentzen combine these optimization techniques with Monte-Carlo type regression for the off-line construction of optimal feedback actions.This approach, has proven to be highly effective in numerous closely related studies, reporting impressive numerical results in problems with large number of states.All proposed speakers have been contacted and agreed to participate in the session should it be approved. This list of speakers is diverse in many ways, including both senior and junior members of the community and also it represents several different scientific approaches.
  • Organizer(s) : A. Max Reppen, H. Mete Soner
  • Sponsor : This session is sponsored by the SIAM Activity Group on Financial Mathematics and Engineering.
  • read more about [01145]

[01149] Sparse optimization techniques and applications

  • Abstract : Natural data that arise in several applications (such as biomedical imaging) are inherently sparse in suitable transformation domains provided in general by the gradient, wavelets, and their other variants. Such data sets can be stored in terms of a few samples, which in turn can be used for retrieving the original data with minimal or no loss of information via sparsity-seeking optimization techniques. A wealth of recent developments – going by the name of compressive sensing – aim at signal acquisition compressively and sparse (or economical) description of data of certain types. Of late, this area of research has seen some fascinating developments, which include adaptive solvers, sparsity-driven deep learning methods, hardware-friendly algorithms suitable for biomedical imaging and impedance tomography, etc. The symposium aims at discussing some recent developments in sparse representation/optimization theory that pertain to fundamental as well as application-centric topics.
  • Organizer(s) : K. Z. Najiya, R. Ramu Naidu, Pradip Sasmal, Phanindra Jampana
  • read more about [01149]

[01152] Recent trends in the mathematical theory for incompressible fluids

  • Abstract : Models for incompressible fluid flows are omnipresent in a.o. (geo-)physical, biological and engineering applications. Nonetheless, the intrinsic lack of regularity of solutions to systems such as the incompressible Euler and Navier-Stokes equations constitutes a central challenge in developing further their mathematical theory.
    The mini-symposium approaches these regularity questions from both a deterministic and stochastic perspective with a focus on most recent results on singularity formation, regularization procedures, the emergence of quasi-periodic solutions and hydrodynamic stability.
    We bring together speakers from diverse backgrounds in terms of region, gender, and specific research methods to foster and encourage scientific exchange between different communities.
  • Organizer(s) : Gennaro Ciampa, Lars Eric Hientzsch
  • read more about [01152]

[01158] Oblique derivative boundary volume problems – numerical methods and applications

  • Abstract : In this mini-symposium we will focus on recent efforts in developing various numerical approaches for solving the oblique derivative boundary volume problems. Namely, we will apply the finite element, finite volume and boundary element methods to solve different engineering problems which involve the oblique derivatives.
  • Organizer(s) : Marek Macák, Zuzana Minarechová
  • read more about [01158]

[01161] Error-Controlled Adaptive Algorithms in Full-Order and Reduced-Order Model Simulations

  • Abstract : Controlling numerical errors is of high importance in simulation of various science and engineering problems, e.g., solids, fluids, and air. In full-order model simulations, the discretization error between the continuous solution and the discrete one plays a central role. In reduced-order model simulations, approximation errors during the reduction process is pivotal. Recent research advancements in both these domains have been on development of error-controlled adaptive algorithms, which is the focus of this minisymposium.
  • Organizer(s) : Kapil Ahuja, Marc C. Steinbach, and Thomas Wick
  • read more about [01161]

[01165] Adapted Wasserstein distance for robust finance

  • Abstract : The minisymposium brings together scientists working on the developments of new transport distances suited for the analysis of financial markets in case of model uncertainty. The four talks illustrate the powerful use of newly
    developed tools in optimal transport, and in particular of the Adapted Wasserstein distance, to tackle crucial problems in finance, such as robustness of optimal decision making to model misspecification.
  • Organizer(s) : Beatrice Acciaio
  • Sponsor : This session is sponsored by the SIAM Activity Group on Financial Mathematics and Engineering.
  • read more about [01165]

[01167] Recent development in mean field control and learning

  • Abstract : Mean field control problems have attracted massive interest and provide a promising approach dealing with multi-agent systems. The aim of this mini-symposium is to share the new trends of both theory and applications of this area. We would like to invite the frontier scholars to talk about recent developments in various learning methods for the mean field control problems under different application aspects, as well as analyzing HJB equation in the infinite dimensional spaces for the theory prospective.
  • Organizer(s) : Xin Guo, Jiacheng Zhang
  • Sponsor : This session is sponsored by the SIAM Activity Group on Financial Mathematics and Engineering.
  • read more about [01167]

[01168] Network based reduced-order models for forward and inverse PDE problems

  • Abstract : Reduced order models (ROMs) have been proven to be a powerful and versatile tool for a fast and robust large-scale simulations as well as imaging and inversion. In this minisymposium we will focus on a special class of ROMs, network-based ROMs, that originate from network synthesis. It allows to represent ROM in terms of sparsely-connected networks and enables a direct physical interpretation. We shall discuss various techniques to construct such ROMs as well as their applications.
  • Organizer(s) : Vladimir Druskin, Alexander Mamonov, Mikhail Zaslavskiy
  • read more about [01168]

[01170] High Performance Multigrid Methods for Large-Scale Applications

  • Abstract : Multigrid methods are an optimal computational complexity linear solver and preconditioner that is often utilized to solve large-scale problems. The purpose of this minisymposium is to bring together researchers working on high-performance multigrid solvers. The presentations include topics on both performance aspects, advanced architectures, and applications.
  • Organizer(s) : Graham Harper, Peter Ohm
  • read more about [01170]

[01174] Hypernetworks and their dynamics in theory and applications

  • Abstract : Collective dynamics of interacting units are prevalent in nature and engineering, whether it is neurons in the brain or opinion building in social networks. Recently, there has been tremendous interest in simultaneous interactions between three or more units, so-called higher-order interactions. The drive comes from various disciplines, for example ecology, where simultaneous competition for resources of multiple species causes nonstationary fluctuations of species abundancies. Such advances suggest to model the underlying structures by hypernetworks represented by hypergraphs.This minisymposium displays recent models in real-world applications and theoretical studies on hypernetwork dynamics to highlight development and connect experts from both communities.
  • Organizer(s) : Christian Bick, Sören von der Gracht
  • read more about [01174]

[01178] On the Interplay between Kinetic Theory and Quantum Dynamics

  • Abstract : The kinetic theory describes the non-equilibrium dynamics of a many-body system from the statistical viewpoint, which is acknowledged to be a significant model to bridge the microscopic and macroscopic regimes in classical mechanics. On the other hand, many novel quantum phenomena emerge in the physics and material fields, where the microscopic description is the quantum many-body system.Hence, applying the kinetic philosophy to study the many-body systems in the quantum field becomes pretty natural, and this Minisymposium aims at fostering the development of multiscale modeling, mathematical analysis, and numerical simulation about the interplay between kinetic theory and quantum dynamics.
  • Organizer(s) : Kunlun Qi, Li Wang
  • read more about [01178]

[01181] Variational methods for multi-scale dynamics

  • Abstract : Many interesting evolutionary problems in nature can be described by variational principles like gradient flows or Hamiltonian dynamics. Recent results have shown that exploiting the variational structure of the evolution equation provides a fruitful research area combining applied analysis and stochastic modeling. For real-world multi-scale problems, focusing on the variational structure is particularly vital as it forms a physically motivated basis.The aim of this two-part minisymposium is inspiring and bringing together researchers interested in calculus of variations, PDEs and stochastic analysis for starting collaborations. Focus is placed on interacting particle systems and discrete-to-continuous limit passages, e.g. by evolutionary Gamma-convergence.
  • Organizer(s) : Yuan Gao, Matthias Liero, Artur Stephan
  • read more about [01181]

[01188] Recent Developments in Fluid Dynamics

  • Abstract : Over the last years, substantial breakthroughs have arisen in mathematical fluid mechanics. For example, the smooth blowup of the incompressible, axisymmetric Euler equations via computer assisted proofs, or the smooth self-similar blowup solutions to compressible Euler and Navier-Stokes. The aim of this session is to bring together well-known experts and young researchers to present new developments in partial differential equations describing the dynamics of fluids. Particular emphasis has been put into explaining the aforementioned breakthroughs and exploring new directions from them. Other key topics include corners and cusps solutions in fluids models, and stability results for kinetic equations.
  • Organizer(s) : Bruno Vergara, Javier Gómez Serrano
  • read more about [01188]

[01190] Recent Advances in Modeling Complex Systems and Multiscale Problems in Mathematical Biology

  • Abstract : Advances in our understanding of complex problems in biology are aided by mathematical modeling. A common challenge in this effort is incorporating a wide range of temporal and spatial scales into a single model. This symposium will explore a variety of biological systems, such as microtubule polymerization and blood coagulation, and the diversity of methods used to examine them, such as dynamical systems theory and numerical methods. Our proposed speakers from the US and Canada represent various stages in academia and highlight the versatility of modeling as a tool to answer active biological questions.
  • Organizer(s) : Anna Nelson, Keshav Patel
  • read more about [01190]

[01191] Recent advances on regularity and irregularity of fluids flows

  • Abstract : Building a satisfactory mathematical theory of turbulence remains one of the most significant challenges in the physical sciences, with several fundamental problems still open. Deeply tied to these problems are issues associated with the regularity and well-posedness of fluid flows. Recent developments have shed light on the chaotic behavior of turbulent flows, the role of criticality in ill-posedness, singularity formation in classical solutions, and the relation between irregularity, instability, and non-uniqueness of solutions. The goal of this session is to gather those who have contributed to these developments, promote the exchange of ideas, and inspire new ones.
  • Organizer(s) : Aseel Farhat, Evelyn Lunasin, Vincent Martinez
  • read more about [01191]

[01195] Hyperbolic one-dimensional systems in networks: mathematical modeling and numerical approximations

  • Abstract : Gas flow in pipes, open channel flows, water distribution, traffic flow and blood flow are some modelling applications very often represented as hyperbolic one-dimensional systems in networks. Key modelling ingredients for these systems are the correct definition of boundary conditions at terminal network points, proper coupling conditions among one-dimensional domains and the coupling of one-dimensional domains to zero-dimensional models. Further complexity may be added: parameters varying in space and time, flow regimes varying from sub- to supercritical, diffusive and dispersive terms, etc. All these aspects result in challenging situations for numerical methods designed to discretise this type of models.
  • Organizer(s) : Ernesto Pimentel-García, Lucas O. Müller
  • read more about [01195]

[01197] Numerical linear algebra in convex and nonconvex optimization

  • Abstract : Convex optimization has been instrumental in significant progress across science and technology. Nonconvex optimization methods are an exciting area of active research driven by modern applications. The efficiency and effectiveness of most optimization algorithms hinge on the numerical linear algebra algorithms that they utilize. Furthermore, optimization applications have motivated fundamental advances in numerical linear algebra. This minisymposium aims to bring together experts in both optimization and numerical linear algebra to discuss new developments and leading challenges in both areas.
  • Organizer(s) : Alexander Strang, Ming Gu
  • read more about [01197]

[01199] Recent advances of scientific computing and applications

  • Abstract : There has been tremendous growth in various areas of scientific computing in the recent years. This mini-symposium intends to introduce the recent advances of scientific computing and the related interesting applications. The goal is to attract attention to scientific computing and build potential future collaborations.
  • Organizer(s) : Ying Wang
  • read more about [01199]

[01200] New Trends in Optimal Control and Their Applications

  • Abstract : This proposal belongs to the area of optimal control for sweeping processes and their applications to optimization-related and control problems, as well as some practical models. By now, the sweeping process has been recognized as a class of nonsmooth dynamical systems involving normal cones to moving sets. The controlled sweeping processes have been studied with applications relating to the theory of plasticity, ferromagnetism, ferroelectricity, and elastoplasticity. Further developments also apply to various problems of hysteresis, phase transitions, modelling systems with contact, friction, and impacts. These systems frequently arise in applications such as mechanical systems, switched electrical circuits, and biological systems.
  • Organizer(s) : Leonardo Colombo, Dao Nguyen
  • read more about [01200]

[01202] Analysis and modelling of human flows

  • Abstract : People are moving from one location to another in their daily lives, for commuting, shopping, entertainment, schools, etc. This human flow provides vital information for location decision-making for commercial or public buildings, optimization of transportation systems, urban planning by policymakers, and measures for movement restrictions under a pandemic like COVID-19. This mini-symposium will discuss recent developments in the modeling and analysis of human mobility from an interdisciplinary perspective, including urban studies, spatial economics, network science, and applied mathematics.
  • Organizer(s) : Takaaki Aoki and Naoya Fujiwara
  • read more about [01202]

[01211] Generalized and non-Gaussian Tensor Decompositions

  • Abstract : Tensor decompositions are a foundational unsupervised machine learning method for data science, with applications across all of science and engineering. Traditionally, tensor decompositions seek low-rank tensors that best fit the data with respect to the least squares loss. However, other choices of loss function can be more appropriate for non-Gaussian data such as count data, binary data, and data with outliers. This minisymposium presents state-of-the-art advances in developing efficient algorithms and rigorous theory for tensor decompositions with respect to general losses.
  • Organizer(s) : David Hong
  • read more about [01211]

[01218] Challenges in single-cell data science: theory and application

  • Abstract : Single-cell data science aims to understand cells and their functions at individual cells and accelerate progress in the biomedical sciences via the analysis of single-cell omics data. The largest hurdle to this is the difficulty of extracting complex biological structures from millions of pieces of information across varied cell data. This mini-symposium focuses on theoretical studies of single-cell data analysis and its applications, in which biologists, applied mathematicians, and bioinformaticians working in single-cell data science worldwide will come together to discuss their research and the future development.
  • Organizer(s) : Yusuke Imoto, Keita Iida, Kazumitsu Maehara
  • read more about [01218]

[01221] FreeFEM software package for finite element modeling of PDEs

  • Abstract : FreeFEM is a software package for finite element computation and has been developing at the Laboratory of Jacques-Louis Lions, Sorbonne University for 25 years. The main feature of FreeFEM is having a domain specific language based on C++ grammar, which is designed to describe variational formulation of the partial differential equations and discretized matrices by using numerical quadrature on triangle and tetrahedral elements. Now it is drastically enhanced to perform large scale three dimensional computation using domain decomposition methods by linking with tetrahedral mesh generators and parallel linear solvers. FreeFEM allows us to tackle a new mathematical modeling and solution by expressing nonlinear weak formulation with surface and domain integration and by direct manipulation of finite element matrices.This mini-symposium focuses on recent advancement of FreeFEM and application in mathematical modeling.
  • Organizer(s) : Atsushi Suzuki, Takeshi Takaishi
  • read more about [01221]

[01229] Cauchy problem for Deterministic and Stochastic nonlinear dispaersive equations

  • Abstract : We consider Cauchy problem for Deterministic and Stochastic nonlinear dispersive equations. For the Deterministic nonlinear Schrödinger equation (NLS), some global dynamics will be discussed, that is scattering, blowing up, growing up, or uniform bound for the solutions of NLS. For the Stochastic NLS, we will deal with nonlinear equation with a multiplicable noise. We also intoroduce and discuss paracontrolled calculus to prove local well-posedness of a renormalized version of the stochastic nonlinear wave equation.
  • Organizer(s) : Shuji Machihara
  • read more about [01229]

[01272] Interface motion and related topics

  • Abstract : Understanding the interface dynamics, such as in crystal growth and moving boundaries between two phases, is a topic of great mathematical interest and is also important from engineering, materials science, and other perspectives.
    This mini-symposium aims to bring together researchers working on interfacial motion and related topics to share recent advances and discuss this domain of interest.
    Topics to be presented include mathematical analysis of interface behavior, numerical methods specific to interface motion, and applied research such as the shape optimization.
  • Organizer(s) : Michal Beneš, Tetsuya Ishiwata
  • read more about [01272]

[01383] Sustainable Logistics and Transportation under Uncertain Environments

  • Abstract : Sustainable logistics mention the processes and practices aimed at enriching sustainability of supply chain operations, starting from supply of raw materials to transferring process, storage, packaging, distributions, and customers at the end of life cycle of items. Logistics and transportation problems are examined within a sustainability perspective to offer a comprehensive assessment of economical, environmental, and social performance measures. Sustainable logistics and transportation under uncertain environments provide an appropriate idea for many authorities and decision-makers.
  • Organizer(s) : Sankar Kumar Roy
  • read more about [01383]

[01445] Deep Learning, Preconditioning, and Linear Solvers

  • Abstract : The numerical solution of linear systems of equations is the computational bottleneck in a whole spectrum of applied mathematics and computational science problems. Recently, a number of works have investigated how deep learning can accelerate this critical solution process. This minisymposium will showcase cutting-edge innovations in using deep learning techniques to design and accelerate preconditioners and solvers for linear systems. Researchers will share recent work on topics like combining neural networks with multigrid solvers or conjugate direction methods. An emphasized application will be large, sparse linear systems that arise from discretized partial differential equations in computational physics and simulation problems.
  • Organizer(s) : David Hyde
  • read more about [01445]

[01494] Queues and Related Stochastic Models

  • Abstract : In this mini-symposium, we invite high-quality contributions in queues and related stochastic models arising from operations research. Queues and related stochastic models have various applications in service systems, such as call centers, computer and communication networks, and transportation systems. This mini-symposium discusses recent advances in queues and stochastic models and their applications.Keywords
    • stochastic models
    • matrix analytic methods
    • asymptotic analysis of queueing models
    • game theoretic analysis of queues
    • fluid and diffusion limits, large deviation analysis of queues
    • stochastic analysis of risk models
    • matching queues
    • multidimensional Markov chains
    • novel queueing models in applications

  • Organizer(s) : Tuan Phung-Duc
  • read more about [01494]

[01532] Recent Trends in Fluid Mechanics and its Applications

  • Abstract : The aim of this minisymposium is to bring together mathematicians to share their recent progress and to inspire new ideas in applied mathematics.This minisymposium may address modeling various phenomenum arising from gas dynamics, astrophysics, engineering, and material science, as well as theoretic analysis in problems of kinetic theory, planetary atmospheric science, traffic flow, and semiconductor etc.
  • Organizer(s) : Shih-Wei Chou, Po-Chih Huang, Ying-Chieh Lin, Ming Jiea Lyu
  • read more about [01532]

[01545] Interplay between controllability and qualitative aspects of stochastic dynamical systems

  • Abstract : This minisymposium highlights recent applications of control-theoretic methods in the study of problems arising in mathematical physics and engineering. Special attention is paid to the interplay between deterministic controllability of dynamical systems and qualitative properties of their counterparts driven by stochastic noise. Both, the regulation of dynamical systems via control forces, and the qualitative investigation of randomness in mathematical models, are strongly motivated by real-world applications. The talks will reflect on current challenges concerning finite-dimensional and infinite-dimensional stochastic systems, deterministic control theory, and the synergetic effects that arise when bringing both topics closer together.
  • Organizer(s) : Manuel Rissel, Vahagn Nersesyan
  • read more about [01545]

[01547] Optimization in BV and Measure Spaces: Theory and Algorithms

  • Abstract : We consider optimization problems that are posed in the space of Radon measures as well as the space of functions of bounded variation. We present recent theoretical advances, in particular with respect to optimization problems that involve integrality conditions on the distributed optimization variables. These include approximation results in function space that are based on Gamma-convergence, optimality conditions, and consistent discretization schemes. Moreover, the presentations also include recent algorithmic convergence analysis and discrete and stochastic algorithms that allow for efficient solutions of the arising subproblems.
  • Organizer(s) : Christian Meyer, Paul Manns
  • read more about [01547]

[01605] Recent advances in computational methods for kinetic and hyperbolic equations

  • Abstract : In recent years, there have been significant advances in computational algorithms for kinetic and hyperbolic equations. New methods have been designed that can achieve efficient simulations while preserving key structures of the underlying solutions. This minisymposium will bring experts in this area to present some key advances, including numerical methods and model reduction for wave equations and kinetic equations. Novel schemes and their properties will be discussed with applications in electromagnetic waves, plasma simulations and applications in gas dynamics and nuclear engineering.
  • Organizer(s) : Yingda Cheng
  • read more about [01605]

[01622] Mathematics for Prediction and Control of Complex Systems

  • Abstract : Weather is a good example of large-scale chaotic complex systems, with a strong sensitivity to initial conditions tied to the intrinsic limit to predictability. The sensitivity suggests effective control in which small modifications to the atmospheric conditions grow rapidly and result in big changes. Weather predictability has been studied extensively in the past decades, and prediction skills have been improving. With accurate weather prediction, we are now ready to study weather controllability. This mini-symposium consists of solicited presentations about the mathematics behind the predictability and controllability of complex systems such as weather and other problems.
  • Organizer(s) : Takemasa Miyoshi, Sebastian Reich, Takashi Sakajo, Kohei Takatama
  • read more about [01622]

[01661] Recent Development on the Methods and Applications of Complex PDE systems

  • Abstract : Complex partial differential equations have been widely applied to different areas to understand the spatiotemporal dynamics of multiple interactive components, such as reaction-diffusion equations for modeling diffusive molecules in biology, Navier-Stokes equations for modeling fluid dynamics. Traditional numerical approaches may fail when applied to PDE models in applications due to specific features of application problems. In this minisymposium, we will focus on the recent development of new numerical approaches and applications of different PDE systems. The goal of this session is to bring together researchers in numerical PDEs and mathematical models to exchange ideas and explore collaborations.
  • Organizer(s) : Weitao Chen, Huijing Du, Yuan Liu
  • read more about [01661]

[01671] Financial Modeling

  • Abstract : Financial activities are principally based on a variety of models, which have been modified over times according to the change of financial situation as well as the change of financial regulation. The corresponding stochastic mathematical models are also adjusted. In recent years, disaster risk financing and insurance strategy are of importance. In this minisymposium, we present researches of various aspects of financial modeling, from basic theory to real world problems.
  • Organizer(s) : Naoyuki Ishimura, Rita Helbra Tenrini
  • read more about [01671]

[01672] High accuracy compact methods for partial differential equations

  • Abstract : This minisymposium brings together researchers developing high accuracy compact finite difference schemes for the solution of a variety of partial differential equations. One of the aims of this minisymposium is to examine the progress made on the solution of a variety of fluid flow problems.
  • Organizer(s) : Murli M Gupta
  • read more about [01672]

[01681] Recent advances in numerical methods for partial differential equations

  • Abstract : Partial differential equations are a family of powerful mathematical tools to model the physical world. In many practical situations, it is generally very difficult to obtain their analytical solutions, and thus numerical methods become critical for simulation. This mini-symposium aims to bring together scholars to discuss the recent advances and innovative techniques in this field including finite element exterior calculus, physics-preserving schemes, polytopal meshes and high-order methods. The mini-symposium will also deal with the applications onto electromagnetism, fluid dynamics and interface problems.
  • Organizer(s) : Long Chen, Ruchi Guo, Liuqiang Zhong
  • read more about [01681]

[01718] On SDP relaxations of polynomial optimization

[01768] Computer-assisted proofs in differential equations

  • Abstract : Several phenomena from biology, physics and chemistry are described by differential equations. While the presence of nonlinearities complicates the mathematical analysis, the challenges are greater for PDEs and delay equations, which are infinite dimensional. Numerics have therefore become the primary tool used by scientists, which leads to the question of validity of the outputs. To address this, the field of computer-assisted proofs (CAPs) in dynamics emerged at the intersection of scientific computing, nonlinear, numerical and functional analysis and approximation theory. This minisymposium will bring experts describing novel CAPs techniques to study cutting-edge problems in finite and infinite dimensional differential equations.
  • Organizer(s) : Jean-Philippe Lessard, Akitoshi Takayasu, Nobito Yamamoto
  • read more about [01768]

[01800] Numerical methods for fluid-structure interaction and poroelasticity

  • Abstract : Fluid-structure interaction problems arise in many applications. In biomedicine, such models are used to describe the interaction between blood and arterial walls. Such models have also been used to describe the interaction between blood flow and biodegradable stents, blood flow in patient-specific models of abdominal aortas containing aneurysms, and blood flow and oxygen transport in a bioartifical pancreas. Other applications include geomechanics and aerodynamics. When a deformable structure is porous and allows flow through it, poroelastic models are commonly used to describe its behavior. The numerical simulation of fluid-elastic/poroelastic structure interaction problems has received considerable attention, but still remains a significant challenge in the mathematical and computational sciences. Main difficulties stem from the the intricate multiphysics nature of the problem, and strong nonlinearities. This minisymposium focuses on numerical methods for fluid-elastic or poroelastic structure interaction problems and applications. Possible topics include but are not limited to: 1) partitioned and monolithic numerical methods, 2) porous and poroelastic medium flow, 3) mathematical and numerical analysis, and 4) validation and verification of numerical solvers.
  • Organizer(s) : Martina Bukac, Suncica Canic
  • read more about [01800]

[01834] Structure analysis and dynamics modelling in graphs and networks

  • Abstract : In recent years, research on graphs and networks has received much attention, and it has emerged in the application of channel coding, biomedicine, social governance, and other fields. The mini-symposium will focus on structural analysis and dynamics modelling in complex networks, including influence maximization of high-order networks, evolutionary games, etc.
  • Organizer(s) : Cunquan Qu, Chenlu Ji, Fang Wang
  • read more about [01834]

[01858] Interplay among Manifold Learning, Stochastic Calculus, and Volatility Estimation

  • Abstract : We will review recent advances in Manifold Learning inviting top researchers in this field, and also invite some speakers who will deliver recent developments in Mallivin-Mancino’s Fourier estimation method for estimating the “spot volatility process”, and its application to the estimation of the diffusion matrix. The aim of the mini-symposium is to forecast how we can proceed to combine these two methods to refine the existing results and reach a new stage.
  • Organizer(s) : Jiro Akahori, Hau-Tieng Wu
  • read more about [01858]

[01868] An introduction of “Journal of Machine Learning” for applied mathematicians

  • Abstract : Machine learning is an area characterized by rapid growth, broader impact and diverse audience. It is changing applied mathematics in a fundamentally way. At the same time, there is still a lack of proper venues for publishing research work in machine learning with an applied math orientation. Journal of Machine Learning (JML) is a newly launched journal to provide such a venue. It strives to accommodate both the special features of machine learning mentioned above, as well as the long-held tradition of applied mathematics. In this minisymposium, we invite authors who have published papers in JML to present their work.
  • Organizer(s) : Weinan E, Bin Dong, Arnulf Jentzen, Zhiqin Xu
  • read more about [01868]

[01897] New Tools for Nonlinear Time Series Analysis

  • Abstract : Nonlinear time series analysis is the study of continuous-valued time series under the working hypothesis that they have been produced by a dynamical system of possibly higher dimensions. This assumption enables us to use methods, such as embedding theorems, and tools, such as Lyapunov exponents and attractor dimensions, that allow capturing data structure and information that traditional statistical approaches cannot. Other recently developed tools include recurrence plots, complex networks, ordinal patterns, visibility graphs, homology groups, transcripts, and more. This Minisymposium is intended to showcase such tools and provide a discussion forum for researchers in the field.
  • Organizer(s) : Jose M. Amigo, Reik V. Donner
  • read more about [01897]

[01933] Fluid-structure interactions in Stokes flows

  • Abstract : The minisymposium focuses on computational methods for low (zero)
    Reynolds number flows, where viscous effects dominate. Due to the
    linearity of the fluid governing equations at zero Reynolds number,
    considerable progress in numerical methods has been made to understand
    the fluid-structure interactions at this small scale. This minisymposium
    will cover recent developments in numerical methods for modeling and
    simulating systems involving small immersed structures and suspensions
    of rigid and deformable particles, such as cilia, capsules,
    microorganisms, actin filaments in the cell cytoskeleton, catalytic
    colloids, electrolyte solutions in microfluidics or batteries, and
  • Organizer(s) : Aleksandar Donev, Yuan-Nan Young
  • read more about [01933]

[01935] Advances in Inverse Problems and Imaging

  • Abstract : With the promotion by both mathematics itself and the practical requirements from engineering, the interest of researches on inverse problems and imaging, has been growing vigorously recent decades. The characteristic of the ill-posedness for inverse problems and imaging makes it hard to construct solutions. To overcome difficulties, various regularization techniques must be introduced which are closely related to many mathematical branches such as partial differential equations, differential geometry, numerical analysis, machine learning, image processing, functional analysis, optimizations and computer science. This minisymposium will bring together experts to discuss recent progresses in this area and related topics.
  • Organizer(s) : Gang Bao, Xiang Xu, Bo Zhang
  • read more about [01935]

[01952] Mathematical models of morphogenesis and morphological deformation in living organisms

  • Abstract : The objective of our proposal is to present recent development of mathematical theory of morphogenesis and morphological deformation in living organisms. The topics are dynamics of endothelial cells is angiogenesis, i.e., the formation of networks of blood vessels, morphogenetic processes of organs, homeostasis of precursor cells in the brain and the genesis of a glioma and sol-gel transition of teleost muscular proteins. In each talk, both recent experimental results and the mathematical models, which can be used for the analysis of them, are presented.
  • Organizer(s) : Tetsuji Tokihiro
  • read more about [01952]

[01996] Control and inverse problems on waves, oscillations and flows

  • Abstract : The identification of unknown ingredients in wave, oscillation and flow phenomena governed by evolutionary PDEs from observational data is a central challenge in a variety of areas of science and engineering. This mini-symposium aims at gathering together international scientific researchers to share the latest progress on the related control and inverse problems. It provides a platform to discuss recent developments and emerging challenges, which include but are not limited to
    1. Stability and controllability for inverse parabolic and hyperbolic problems;
    2. Uniqueness of inverse problems for subdiffusion and viscoelasticity;
    3. Data-driven inversion methods and optimal control;
    4. Related numerical schemes for reconstruction.
  • Organizer(s) : Hiromichi Itou, Atsushi Kawamoto, Yikan Liu, Hisashi Morioka
  • read more about [01996]

[02012] Splitting Optimization: Theory, Methodology and Application

  • Abstract : With the development of artificial intelligence, big data and other applications, large-scale optimization problems have received more and more attention. The advantage of the splitting method is to make use of the problem structure to reasonably disassemble the large-scale optimization problem into a series of subproblems, and to solve the large-scale optimization problem efficiently through the “decomposition-integration” architecture. This minisymposium introduces splitting optimization through a series of reports, including theories, methods, and applications.
  • Organizer(s) : Deren Han, Xingju Cai, Xiangfeng Wang
  • read more about [02012]

[02014] High-order numerical methods: recent development and applications

  • Abstract : Over the last few years, high-order numerical methods have found their way into the mainstream of computational sciences and are now being successfully applied in almost all areas of natural sciences and engineering. The aim of this minisymposium is to present the most recent developments in the design and theoretical analysis of high-order numerical methods, and to discuss relevant issues related to the practical implementation and applications of these methods. Topics include: theoretical aspects and numerical analysis of high-order numerical methods, non-linear problems, and applications.
  • Organizer(s) : Qi Tao, Yan Xu, Xinghui Zhong
  • read more about [02014]

[02015] Theory and applications of random/non-autonomous dynamical systems part II

  • Abstract : Dynamical systems evolving in the existence of noise, is called random dynamical systems. The basic properties, such as stability, bifurcation, and statistical properties, of such random or non-autonomous dynamical systems have not been well studied in mathematics and physics. Recently, cooperative research on random dynamical systems has been developed in the fields in statistical and nonlinear physics, dynamical system theory, ergodic theory, and stochastic process theory. In this mini-symposium, we consider theory and applications of random dynamical systems. In Part II, we discuss Newton methods and random dynamical systems.
  • Organizer(s) : Hiroki Sumi, Yuzuru Sato, Kouji Yano, Takuma Akimoto
  • read more about [02015]

[02017] Recent progress in theory and applications of time-delay systems

  • Abstract : Time delays appear in several disciplines from engineering and natural sciences. Theory of delay differential equations and infinite dimensional dynamical systems has been extensively developed. Together with the development, applications of time-delay systems have been conducted in several fields including mechanistic engineering and biological sciences. In this mini-symposium, presenting recent progress in the research of time-delay systems from theoretical and application points of view, we aim to promote discussion and collaboration on theoretical and applied research and even deepen our understanding towards the time-delay systems and extend the spectrum of the applications.
  • Organizer(s) : Kota Ikeda, Tetsuya Ishiwata, Yukihiko Nakata, Junya Nishigchi
  • read more about [02017]

[02023] Theory and applications of random/no-autonomous dynamical systems part IV

  • Abstract : Dynamical systems evolving in the existence of noise, is called random dynamical systems. The basic properties, such as stability, bifurcation, and statistical properties, of such random or non-autonomous dynamical systems have not been well studied in mathematics and physics. Recently, cooperative research on random dynamical systems has been developed in the fields in statistical and nonlinear physics, dynamical system theory, ergodic theory, and stochastic process theory. In this mini-symposium, we consider theory and applications of random dynamical systems. In Part IV, we discuss anomalous statistics and non-stationarity in random dynamical systems.
  • Organizer(s) : Hiroki Sumi, Yuzuru Sato, Kouji Yano, Takuma Akimoto
  • read more about [02023]

[02025] Recent Advances on the Analysis and Applications of Continuous and Discrete Integrable Systems

  • Abstract : Research in integrable systems has led to numerous important new concepts, ideas and techniques of mathematics and physics in the last few decades. The very concept of integrability has been found in deep connections with a large spectrum of mathematics such as algebraic geometry, differential geometry, representation theory, random matrix theory, nonlinear waves, etc. In this minisymposium, we will focus on the recent developments of both continuous and discrete integrable systems. Specially, it will cover discrete and ultradiscrete integrable systems, noncommutative integrable systems and rogue waves. This is a unique platform for the interaction of international researchers in relevant fields.
  • Organizer(s) : Kenichi Maruno, Linyu Peng, Cheng Zhang
  • read more about [02025]

[02056] Recent Advances in Partitioning Method for the Structures

  • Abstract : Despite numerous well-established algebraic techniques, infusion of the variational approach into computational mechanics is still under way. Among those, the partitioning method has played a pivotal role. It introduced a complicated matrix computation and additional unknowns which should be treated without degrading accuracy. Topics of this mini-symposium will include, but not limited to, the advances in partitioning method and their application; parallel computing, component mode synthesis, non-matching interface, inverse problems, and damage detection. The mini-symposium will bring researchers together working on both fundamental and applied aspects of computational mechanics to provide a forum for discussion, interaction, and assessment of techniques.
  • Organizer(s) : SangJoon Shin
  • read more about [02056]

[02060] Topics in extremal graph theory

  • Abstract : Extremal graph theory is a fast emerging and growing area with many exciting developments in recent years. This mini-symposium will cover topics in Turan problem, sublinear expander and sparse pseudorandom graphs.
  • Organizer(s) : Jie Han, Donglei Yang
  • read more about [02060]

[02067] Recent topics on generalized orthogonal polynomials and their applications

  • Abstract : Orthogonal polynomials play crucial roles in a variety of fields including integrable systems, combinatorics, quantum information and so on. Generalization of orthogonal polynomials has thus been considered from many points of view and has led to successful application to such areas. This minisymposium aims to bring together latest research results on theory and applications of generalized orthogonal polynomials and aims to promote interdisciplinary discussions.
  • Organizer(s) : Satoshi Tsujimoto, Hiroshi Miki, Luc Vinet
  • read more about [02067]

[02072] Theory and applications of random/non-autonomous dynamical systems: Part I

  • Abstract : Dynamical systems evolving in the existence of noise, is called random dynamical systems. The basic properties, such as stability, bifurcation, and statistical properties, of such random or non-autonomous dynamical systems have not been well studied in mathematics and physics. Recently, cooperative research on random dynamical systems has been developed in the fields in statistical and nonlinear physics, dynamical system theory, ergodic theory, and stochastic process theory. In this mini-symposium, we consider theory and applications of random dynamical systems. In Part I, we discuss computational ergodic theory and applications in random dynamical systems.
  • Organizer(s) : Hiroki Sumi, Yuzuru Sato, Kouji Yano, Takuma Akimoto
  • read more about [02072]

[02083] Integrable Aspects of Nonlinear Wave Equations, Solutions and Asymptotics

  • Abstract : The study of physical phenomena by means of mathematical models often leads to integrable systems, which admit rich solutions including the solitons. The study on interactions of solitary waves is an important part of the modern theory of nonlinear waves. Various methods have been developed to build their solutions. In addition, stability and long-time asymptotics of solutions to integrable systems are interesting topics and attracts much attentions in the past years.The proposed minisymposium aims at bringing together the researchers in the fields and at offering an overview of some of the current research activities in this area.

  • Organizer(s) : Alejandro Aceves, Xingbiao Hu, Qingping Liu, Changzheng Qu
  • read more about [02083]

[02109] Recent Advances on Numerical Analysis of Integral and Integro-differential Equations

  • Abstract : Since integral equations, integro-differential and nonlocal equations play an important role as mathematical models in science, engineering and finance, recent years have seen major developments in the design and analysis of efficient numerical methods for such equations. It is the aim of this minisymposium to bring together leading experts in these fields, in order to describe recent achievements and further communication between numerical analysts and computational scientists working on these problems.
  • Organizer(s) : Qiumei Huang, Hui Liang, Jiwei Zhang
  • read more about [02109]

[02115] Theory and applications of random/non-autonomous dynamical systems Part III

  • Abstract : Dynamical systems evolving in the existence of noise, is called random dynamical systems. The basic properties, such as stability, bifurcation, and statistical properties, of such random or non-autonomous dynamical systems have not been well studied in mathematics and physics. Recently, cooperative research on random dynamical systems has been developed in the fields in statistical and nonlinear physics, dynamical system theory, ergodic theory, and stochastic process theory. In this mini-symposium, we consider theory and applications of random dynamical systems. In Part III, we discuss infinite ergodicity and random dynamical systems.
  • Organizer(s) : Hiroki Sumi, Yuzuru Sato, Kouji Yano, Takuma Akimoto
  • read more about [02115]

[02130] Fluid-structure interactions in geophysical flows

  • Abstract : Fluid-structure interactions appear on many different scales of our planet. For example, centimeter-scale pebble stones are shaped by flow erosion, while kilometer-scale karst terrains are a result of dissolution. Even the planetary-scale plate tectonics are believed to be driven by the convection in Earth’s mantle. In this minisymposium, we focus on lab-scale experiments and math modeling of such geophysical fluid-structure interactions, exploring the connections between processes like convection, erosion, dissolution, and melting. With a diverse group of speakers, this minisymposium will initiate a new and combined effort to address these important geophysical phenomena.
  • Organizer(s) : Jinzi Mac Huang, Nick Moore
  • read more about [02130]

[02154] Hypergeometric functions in statistics and particle physics

  • Abstract : Recent years have shed new light on the theory of hypergeometric functions.
    They appear as marginal likelihood integrals in statistics and as Feynman integrals in quantum field theory.
    Evaluating these integrals is a central, but challenging problem in these areas.
    Advances in algebraic methods provids new insights into this problem.
    Such methods rest on graph theory, combinatorics of convex bodies, Gröbner bases, D-modules, and toric geometry, to name a few.
    These new perspectives also raise fascinating new questions, both theoretical and computational.
    We gather active researchers in this area to identify such questions, and to accelerate the progress.
  • Organizer(s) : Saiei-Jaeyeong Matsubara-Heo, Nobuki Takayama
  • read more about [02154]

[02163] Recent Developments in Stochastic Numerics and Computational Finance

  • Abstract : Stochastic numerical analysis becomes so important in probability theory, statistics and applied mathematics especially in machine learning and data science and achieves a great success in computational finance. The aim of the minisymposium is to highlight recent developments in stochastic numerical analysis and computational finance, and to interact with researchers working on the fields. Topics will include deep learning methods for stochastic differential equations and PDEs, new computational methods for pricing derivatives, portfolio optimization and risk management, and their theoretical analysis.
  • Organizer(s) : Jiro Akahori, Shoiti Ninomiya, Toshihiro Yamada
  • read more about [02163]

[02169] Recent advances on numerical methods for stochastic ordinary differential equations

  • Abstract : Stochastic differential equations appear nowadays as a modeling tool in many branches of science and industry as finance, biology, and mean field theory, etc. Numerical methods play a key role in understanding and exploring the dynamics of stochastic differential equations. Some new challenges arise from real-world applications, for example, a stochastic model with non-globally Lipschitz diffusion, singular initial value problems with white noises, mean-field interactions, or the positivity preserving property. The aim of this minisymposium is to bring the researchers in these fields together to discuss recent advances and influence more collaborations.
  • Organizer(s) : Qian Guo, Wanrong Cao, Hongjiong Tian, Liangjian Hu
  • read more about [02169]

[02178] Efficient computational methods for data matrices: exploiting sparsity and structure

  • Abstract : This mini-symposium focuses on new applications from data analysis where sparse and structured matrices arise, as opposed to well-studied applications in scientific and engineering simulation. In addition to these new applications, we shall highlight algorithmic advances for these objects with a focus on techniques like randomisation, parallelisation, and use of modern computer hardware. The overall goal of this gathering is to help researchers see connections among these newer data-driven application areas and identify new computational building blocks that might benefit multiple domains.
  • Organizer(s) : Richard Vuduc, Srinivas Eswar
  • Sponsor : This session is sponsored by the SIAM Activity Group on Supercomputing.
  • read more about [02178]

[02181] Numerical methods and analysis for linear systems and eigenvalue problems

  • Abstract : In this mini-symposium, speakers will present recent developments in the numerical methods for linear systems and eigenvalue problems. The topics of interest include, iterative methods such as IDR(s) and randomized block Kaczmarz methods for linear systems with single right-hand side, and block GMRES-type solvers for linear systems with multiple right-hand sides, acceleration and preconditioning techniques for both linear and nonlinear eigenvalue problems, and algorithms for computing eigenvalues of semi‐infinite quasi‐Toeplitz matrices.
  • Organizer(s) : Lei Du, Hongjia Chen, Jintao Zhang
  • read more about [02181]

[02212] Modeling, Algorithms and Simulations for Flow and Transport in Porous Media

  • Abstract : Porous media flow and transport is important in wide applications, including carbon sequestration, subsurface hydrogen storage, and geothermal reservoirs. This mini-symposium seeks to highlight newest developments of porous media flow and transport both in physical models and numerical methods, to exchange ideas and to promote collaborations. Specific topics of interest include, but are not limited to: advanced physical models of porous media flow and transport; novel numerical methods for its simulation; its machine learning and deep learning algorithms; multiphase and multiphysics simulation; its error estimation, cross-scale analysis, and uncertainty quantification; applications especially in geological carbon sequestration and energy storage.
  • Organizer(s) : Shuyu Sun, James Liu, Ruishu Wang
  • read more about [02212]

[02219] Pattern formation and propagation in reaction-diffusion systems on metric graphs

  • Abstract : This minisymposium concerns theoretical and numerical studies about partial differential equations on metric graphs. Partial differential equations on metric graphs have been applied to a variety of areas as mathematical models related to phenomena in network structures. In particular, this minisymposium focuses on pattern formation and wave propagation in many reaction-diffusion systems on metric graphs, such as Lotka-Volterra systems, Gierer-Meinhardt systems, Allen-Cahn equations, and so on. This minisymposium will invite researchers to report their recent results on these subjects.
  • Organizer(s) : Satoru Iwasaki, Yuta Ishii, Shin-Ichiro Ei, Ken-Ichi Nakamura
  • read more about [02219]

[02221] Recent progress on mathematical theory of boundary layer

  • Abstract : Boundary effect and stability analysis in fluid mechanics involves many mathematical problems, including boundary layer, free boundary, stability and instability of the hydrodynamic equations under the high Reynolds number, etc. The research on these problems is not only mathematically important and challenging, but also provides specific views for explaining certain physical phenomena and mechanical laws. In order to enhance the exchange on the latest research results and facilitate the cooperations on hydrodynamic stability theory, we would like to organize a mini-symposium named “Recent progress on mathematical theory of boundary layer” .
  • Organizer(s) : Zhifei Zhang, Guilong Gui, Yong Lu, Chao Wang
  • read more about [02221]

[02277] New regularizing algorithms for solving inverse and ill-posed problems

  • Abstract : Regularization methods are an important numerical technique in the robust solution of ill-posed inverse problems. In the recent years, many new regularization methods had been developed in various areas of applied mathematics and data science. This minisymposium focuses on the regularization theory of abstract (linear and nonlinear) operator equations and some efficient regularizing algorithms for solving parameter identification problems in (local and nonlocal) PDEs. Such regularizing algorithms includes stochastic asymptotic regularization for general operator equation, asymptotic expansion regularization for inverse problems in singularly perturbed PDEs, machine learning based approaches, etc. The speakers mainly from Russian and China.
  • Organizer(s) : Ye Zhang, Maxim Shishlenin, Anatoly Yagola and Sergey Kabanikhin
  • read more about [02277]

[02285] New Trends in Tensor Networks and Tensor Optimization

  • Abstract : Tensors have been shown to be a powerful tool for capturing multiple interactions and inherent hierarchies in data sets from wide applications in scientific and engineering communities. This minisymposium aims to bring together recent advances in tensor network analysis and large-scale tensor optimization. The topics of interest include, but are not limited to
    – new advances in tensor networks for machine learning,
    – tensorial time series analysis and deep learning,
    – tensor regularized generalization in reinforcement learning,
    – structural tensor analysis and applications,
    – multilinear PageRank and data clustering.
  • Organizer(s) : Qibin Zhao, Yannan Chen, Andong Wang
  • read more about [02285]

[02327] Stability of Numerical Linear Algebra Algorithms

  • Abstract : The stability of numerical linear algebra algorithms is a key component in large-scale and delicate computations such as solutions of linear systems of equations, eigenvalue problems, and matrix function computations. These computations in common require efficient but stable orthogonalization techniques. Understanding their numerical behaviors is thus equally important as their parallel efficiency. Recent low-synchronization and mixed-precision algorithms do improve parallel scaling while maintaining numerical stability when using next-generation high-performance computers. This minisymposium will foster interactions between new results of error analyses and new algorithmic innovations, and so will contribute to communication inside and beyond these two communities.
  • Organizer(s) : Keiichi Morikuni, Miroslav Rozložník
  • read more about [02327]

[02342] On dataset sparsification and data reconstruction in deep learning

  • Abstract : Recent successes in deep learning are partially driven by the ability to use ever larger datasets with overparametrized models. However, the ability to obtain similar performance over smaller datasets is clearly computationally advantageous. Furthermore, when learning with large models over large datasets, it has been shown that portions of the data can be reconstructed from the model parameters. This clearly poses a privacy risk. It turns out that dataset reconstruction and dataset distillation are closely related. This symposium will bring together researchers working on the latest advances in both dataset reconstruction and distillation.
  • Organizer(s) : Anastasia Borovykh
  • read more about [02342]

[02349] Deep Implicit and Explicit Models for Inverse Problems: Hybrid Data-Driven Models, Neural ODEs, PDEs and Beyond

  • Abstract : In this minisymposium, we will discuss the current developments of implicit and explicit deep learning models for inverse problems. Explicit deep learning models are based on stacking several discrete layers to solve a given downstream tasks. Another interesting perspective is implicit models, where one can specify the conditions to satisfy. Within this context our session will cover these two paradigms through new developments in Hybrid Models, Neural ODES – PDEs and Beyond. Moreover, discussing interesting real-world applications for a wide range of inverse problems.
  • Organizer(s) : Angelica Aviles-Rivero, Raymond H. Chan
  • read more about [02349]

[02370] Recent advances in Ultrasound Biomedical Imaging

  • Abstract : Medical Ultrasound Imaging is the most widespread real-time non-invasive imaging system, and it is based on the ability of human tissue to reflect the ultrasound signals sent by a probe. The fundamental challenges shared by Ultrasound Imaging applications are arguably to achieve higher image resolution and to get fast real-time acquisitions, in both 2D and 3D settings. Such issues must be addressed from both a theoretical viewpoint, by optimizing the modelling of the signal acquisition and formation process, and from a computational perspective. In this respect, recent advances in computing power and data storage have allowed the development of new algorithms and array designs for cutting-edge ultrasound machines.
    This minisymposium aims to gather leading experts in Ultrasound Imaging along with young researchers to present their contributions on theoretical, computational, and industrial topics, with the leading idea of ultimately improving ultrasound signal analysis and image reconstruction beyond the state-of-the-art. The presented research topics range from spatial coherence and PSF approximation, to optimal 2D and 3D array design, and are relevant to a wide variety of mathematical, medical, and industrial applications.
  • Organizer(s) : Federico Benvenuto, Valentina Candiani
  • read more about [02370]

[02376] Recent Advances in Dynamic Games and Control Theory and Their Connection to Data Science

  • Abstract : Dynamic games and control theory involve the study of how multiple agents make decisions and interact strategically over time. These problems have traditionally been challenging to solve. This mini-symposium focuses on the latest developments in dynamic games and control theory enabled by data science. We will discuss how learning-based control theory has advanced the field, as well as the connection between reinforcement learning and dynamic games. Additionally, we will explore how these advances are enabling new applications in autonomous systems, networked systems, cyber-physical systems, and mathematical finance. This symposium will foster innovative interdisciplinary research that potentially can break new ground.
  • Organizer(s) : Quanyan Zhu, Maggie Cheng
  • read more about [02376]

[02386] Recent advances on theory and algorithms in deep learning applications

  • Abstract : In recent years, supervised and unsupervised learning models based on deep neural networks play an increasingly important role in many directions, such as approximating continuous functions, constructing image models, and solving inverse problems. Meanwhile, many theoretical results are carried out to study the approximation and training properties of these approaches. This mini-symposium will bring together researchers in different areas to discuss recent advances in training algorithms and model applications, as well as relevant theoretical analysis. The aim is to assemble new understandings of the efficiency and limitation of deep learning models through the intersection discussion.
  • Organizer(s) : Yongqiang Cai, Qiaoqiao Ding
  • read more about [02386]

[02387] Recent Advances on Distributed Optimization

  • Abstract : Distributed algorithms have emerged as a key driving force in solving large-scale optimization and machine learning problems, with a wide range of applications spanning from training deep neural network models over GPU clusters to boosting edge intelligence over networks consisting of cellphones, tablets, and wearables. In this minisymposium, we will review recent advances in distributed optimization, with a focus on state-of-the-art sample and communication complexities, novel communication compression techniques, and new decentralized or federated algorithms. By bringing together leading researchers and practitioners in this field, we hope to identify key challenges and opportunities for advancing distributed optimization.
  • Organizer(s) : Kun Yuan, Shi Pu
  • read more about [02387]

[02392] Low-Rank Models in Data Science

  • Abstract : Due to their simplicity and versality that ranges from genomics data to computational physics, recommender systems and unsupervised learning, low-rank matrix models have emerged as a powerful tool in data science. However, only few related computational problems admit closed-form solutions. Convex or non-convex potentially non-smooth optimization problems with different statistical properties can be used to overcome involving computational challenges.
    This minisymposium intends to shed light on recent advances in structured numerical optimization for low-rank models and their statistical and information theoretical properties by bringing together experts from applied mathematics and engineering working these topics, providing a forum for future collaborations.
  • Organizer(s) : Christian Kümmerle, Johannes Maly, Dominik Stöger
  • read more about [02392]

[02396] Recent Advances on Polynomial System Solving

  • Abstract : Polynomial systems are fundamental mathematical objects in algebraic geometry, automated geometric reasoning, cryptography, coding theory, biology, and many other areas of science and engineering, and thus finding the solutions of polynomial systems algorithmically is also of both theoretical and practical importance. This minisymposium aims at bringing together interested researchers to present and to discuss recent work and progress on the theories, algorithms, software, and applications of solving polynomial systems.
  • Organizer(s) : Deepak Kapur, Chenqi Mou
  • read more about [02396]

[02402] Numerical methods for a class of time-dependent PDEs

  • Abstract : Many phenomena and problems in modern science, technology and engineering can be described by partial differential equations. For example, the Gross-Pitaevskii equation under a rotational frame, the nonlinear Klein-Gordon-Schr\”{o}dinger equations in the nonrelativistic limit regime, Poisson-Nernst-Planck systems, etc. It is significant to design efficient numerical methods to solve the above PDEs with numerical analysis and provide an intuitive view for physical phenomena. The main purpose of this mini-symposium is to discuss recent developments of the numerical methods for solving time-dependent PDEs.
  • Organizer(s) : Fenghua Tong, Yong Wu, Zhongyang Liu, Xuanxuan Zhou
  • read more about [02402]

[02404] New Trends in Hierarchical Variational Inequalities and Optimization Problems

  • Abstract : It is well known that the bilevel programming problem has been widely investigated in the literature due to its applications in mechanics, network designs and so on. In particular, if the upper-level problem is a variational inequality problem and the lower-level is a fixed-point set of an operator, then such a bilevel problem is known as a hierarchical variational inequality problem. The signal recovery, beamforming and power control problems can be modelled as hierarchical variational inequality problems. This minisymposium will promote a few scholars to look into new trends in hierarchical variational inequalities and optimization problems together, and provide an opportunity to explore the latest developments.
  • Organizer(s) : Lu-Chuan Ceng
  • read more about [02404]

[02406] European Research Council (ERC) information session

  • Abstract : The European Research Council is the premier European funding organisation for excellent frontier research. Its mission is to encourage highest quality research in Europe through competitive funding and to support investigator-driven frontier research across all fields, based on scientific excellence.
    In this minisymposium, ERC laureates will present their work in various grant schemes. The ERC office in Brussels will present the main opportunities for researchers. The final talk will concentrate on how to build a specific grant office within a university mathematics department, to stimulate researchers to apply for many different types of grants, including those of the ERC.
  • Organizer(s) : Alfio Quarteroni, Wil Schilders
  • read more about [02406]

[02408] Recent advances in two-phase flow influenced by thermal fluctuations

  • Abstract : Thermal fluctuations may influence the evolution of interfaces in multi-phase flow. For this reason, analysis and numerics of stochastic versions of Allen-Cahn or Cahn-Hilliard equations with multiplicative noise, sometimes coupled to momentum equations of fluid dynamics, gained the interest of researchers both in pde and in stochastics. Related to these questions is the investigation of stochastic thin-film equations with their fascinating interplay between degenerate parabolicity and multiplicative noise.
    This mini-symposium is supposed to bring researchers together who recently made important contributions both to analysis and numerics of such problems and to foster new collaborations.
  • Organizer(s) : Günther Grün, Stefan Metzger
  • read more about [02408]

[02411] Recent Advances in Numerical Methods for Nonlinear Equations and Applications

  • Abstract : Nonlinear equations and systems of equations are commonly used to describe scientific and engineering challenges. There are more and more applications for these systems, and majority of the techniques, now in use, have limitations and drawbacks. Thus, it is crucial to create novel numerical techniques that are exceptionally accurate, stable, and reliable. This symposium focuses on the contemporary design methodologies, including machine learning algorithms, conformable fractional equations, and others, to real-world problems such as metabolic pathways, drug delivery interaction problem, image segmentation etc. We bring researchers from a broad spectrum to discuss development and applications of these modern methods.
  • Organizer(s) : Fiza Zafar, Alicia Cordero, Juan Ramon Torregrosa and Norma Binti Alias
  • read more about [02411]

[02423] Non-standard finite element methods

  • Abstract : This minisymposium is on the non-standard finite element methods, including mixed finite element methods, non-conforming finite elements methods, discontinuous Galerkin methods, virtual element methods, weak Galerkin methods, and so on. This minisymposium intended to focus on the latest research progress in the field of numerical methods of partial differential equations. It is expected that through the frontier progress report, scholars engaged in the research of numerical methods of partial differential equations can be exposed to the core problems in the field of mathematical theory, numerical methods, and practical applications.
  • Organizer(s) : Carsten Carstensen, Jun Hu, Ran Zhang
  • read more about [02423]

[02426] Mathematics of turbulent transport and coherent structures

  • Abstract : The transport of momentum and heat by coherent structures in turbulence has long been a central concern in fluid mechanics, especially because of its critical importance in industry, geophysics, and astrophysics. Significant progress has been made in recent years in Navier-Stokes-based variational principles, asymptotic analysis, and dynamical systems theory, finally producing meaningful results for practical applications. This mini-symposium aims to bring together experts with a wide range of related backgrounds, from applied to fundamental, to exchange the latest findings and to set new research directions.
  • Organizer(s) : Kengo Deguchi; Shingo Motoki
  • read more about [02426]

[02435] Scaling Limits of Interacting Particle Systems

  • Abstract : This minisymposium aims to bring together young researchers in PDEs, probability and applied mathematics to share recent progress and complementary perspectives in the growing field of interacting particle systems. Such systems are not only important models in physics, biology, and many applied sciences, but also rich in mathematical structure.
    Our topics include mean-field limits and propagation of chaos for large systems with singular interactions, limit theorems and large deviations for interacting particle systems on random graphs, particle and numerical methods of McKean-Vlasov PDEs, convergence theorems of SPDEs, and quasi-stationary behavior of SPDEs and their dual particle systems.
  • Organizer(s) : Wai-Tong (Louis) Fan, Zhenfu Wang, Ruoyu Wu
  • read more about [02435]

[02438] Recent advances in numerical multiscale methods

  • Abstract : Multiscale phenomena are ubiquitous in science and engineering, and many multiscale problems are modeled by partial differential equations with general rough coefficients. Direct numerical solution of such problems is often infeasible because a huge number of degrees of freedom are needed to resolve all details on all relevant scales. Numerical multiscale methods aim at reducing the computational cost by efficiently incorporating physically important fine-scale information into a coarse-grid representation. The scope of this minisymposium is to bring together experts in this field to present recent advances in the design and analysis of numerical multiscale methods.
  • Organizer(s) : Chupeng Ma, Robert Scheichl
  • read more about [02438]

[02440] Advances in Optimization I

  • Abstract : The two minisymposia on Advances in Optimization I and II will bring together a diverse group of leading researchers and practitioners from both continuous and combinatorial optimization, theoretical and applied. One of the goals of these two minisymposia is to raise awareness to the most recent advances in optimization theory, algorithms, and applications, and to develop connections and encourage collaboration.
  • Organizer(s) : Antoine Deza, Takashi Tsuchiya
  • read more about [02440]

[02445] Advances in Optimization II

  • Abstract : The two minisymposia on Advances in Optimization I and II will bring together a diverse group of leading researchers and practitioners from both continuous and combinatorial optimization, theoretical and applied. One of the goals of these two minisymposia is to raise awareness to the most recent advances in optimization theory, algorithms, and applications, and to develop connections and encourage collaboration.
  • Organizer(s) : Antoine Deza, Takashi Tsuchiya
  • read more about [02445]

[02447] Advances in Diesel Engine Design and Control for Industry 4.0

  • Abstract : With the advent of Industry 4.0, the demand for efficient and eco-friendly engines has increased. This mini-symposium will present recent research in diesel engine design and control to address the challenges and opportunities of Industry 4.0. Speakers will describe current directions of research and methods relating to optimal nozzle design, combustion limits investigation, intake plenum design improvement, in-cylinder combustion investigation, distinguishability of linear control systems, GAs based PID controller parameter tuning, XAI-based fault diagnosis, and intelligent control systems. The symposium will be of interest to those working in the field of diesel engines and related areas.
  • Organizer(s) : Prof. Dr. Khalid Saifullah, Dr. Athar Kharal
  • read more about [02447]

[02448] Verified Numerical Computations and Applications

  • Abstract : In recent decades, the concept of verified numerical computations and computer-assisted proofs is gaining increasing attention and importance.
    These methods prove mathematically rigorous results using a combination of analytical arguments such as fixed-point theorems and numerical computations.
    This minisymposium focuses on some general tools of accurate and verified numerical computations for the solution of linear and nonlinear systems and eigenvalue problems together with their applications to the proof of solvability and uniqueness for ordinary and partial differential equations.
    New developments in that area will be presented.
  • Organizer(s) : Takeshi Ogita, Katsuhisa Ozaki, Siegfried M. Rump, Kazuaki Tanaka
  • read more about [02448]

[02458] Progress and Challenges in Extreme Scale Computing and Big Data

  • Abstract : Extreme scale computing efforts have resulted in numerous advances for multicore and accelerator based scalable systems. In addition, large-scale applications must increasingly deal with data management and analysis as a first-class concern. Therefore, new applications often have to manage distributed and parallel computing, and have to manage workflows of different tasks, such as computing, data analytics, machine learning, visualization, etc. In this MS, we present some of the latest work in scalable algorithms, programming paradigms, and libraries for next generation computing platforms. Furthermore, we discuss efforts to better incorporate data science concerns as an important component of our scientific workflows.
  • Organizer(s) : Keng Nakajima, Michael Heroux, Serge Petiton
  • read more about [02458]

[02470] Chaotic Supremacy Revolution

  • Abstract : Chaotic supremacy will be discussed from the perspective of applied mathematics such as applied chaos theory and new device technologies such as laser chaos for terahertz generation and off-shell science. Innovative applied chaos research cases from academia as well as industry, which has been studying applied chaos for many years, will also be presented.
  • Organizer(s) : Ken Umeno, Fumiyoshi Kuwashima, (4) Takashi Isoshima
  • read more about [02470]

[02474] Applied and Computational Dynamics

  • Abstract : Understanding the long-term behaviour of a dynamical system is an important challenge that requires many mathematical techniques and numerical tools. Dynamical systems are models with a natural time evolution $($discrete or continuous$)$. The invariant sets $($fixed points, periodic orbits, invariant manifolds, strange attractors, etc$)$ are all objects that persist beyond the transient phase, and thus carry important information. It is also necessary to understand the bifurcations that occur as model parameters are varied. In this minisymposium, we will learn of new results for analyzing dynamical systems. Examples include passive dynamic walking, Fitzhugh-Nagumo neurons, and self-propelled particle systems.
  • Organizer(s) : Warwick Tucker (University of Melbourne, Australia), Yoshitaka Saiki (Hitotsubashi University, Japan), Hiroe Oka (Ryukoku University, Japan), Hiroshi Kokubu (Kyoto University, Japan)
  • read more about [02474]

[02479] Recent advances for modeling, numerical algorithm, and applications in electronic structure calculation

  • Abstract : With the rapid development of the research in the electronic structure calculations, new mechanisms and phenomenon are constantly being discovered, which bring the challenging on mathematical modeling and related analysis. Meanwhile, the development of the computational hardware also provides chances to the new algorithm design and analysis. In this mini-symposium, experts from mathematics, physics, etc., would share their recent progress in the research of the electronic structure calculations, and will discuss together towards the potential applications in areas such as computational quantum chemistry, nano-optics.
  • Organizer(s) : Zhenning Cai, Guanghui Hu, Hehu Xie
  • read more about [02479]

[02491] Mathematics of Epidemics: modelling, data analysis, and control

  • Abstract : Mathematical epidemiology, the modeling of the spread of epidemics, has a distinguished history and continues to be a very active field, with fruitful interaction of mathematical theory, computation, and data analysis. In the wake of the COVID-19 pandemic, modeling has played an important role in providing a framework for understanding empirical data and guiding policy. This mini-symposium will include presentations of recent results related to the mathematical modeling of epidemics, and provide a forum for discussion among researchers. Issues to be addressed include control measures for epidemics, population immunity and vaccination, heterogeneity of populations, and parameter inference for epidemic models.
  • Organizer(s) : Nir Gavish, Guy Katriel, Yukihiko Nakata
  • read more about [02491]

[02493] Advanced Modelling of Complex Nonlinear Systems

  • Abstract : Complex nonlinear systems with millions and even billions of parameters appear in various fields of science and engineering. These include mechanics, fluid dynamics, and deep neural networks. In order to better understand, predict and optimize the solutions, new mathematical models are required.In this mini-symposium, we plan to present several approaches from different fields related to modeling large high-dimensional nonlinear systems. This will foster better synergy and collaboration of researchers from various disciplines. Researchers from advanced signal processing, applied mathematics, and fluid mechanics will discuss their contributions. We anticipate new insights and analogies will be gained following this exchange of ideas.
  • Organizer(s) : Ido Cohen, Guy Gilboa
  • read more about [02493]

[02499] Machine Learning for dynamics and its applications

  • Abstract : There has been a growing interest in exploiting machine learning to predict the behaviors of complex nonlinear dynamics. It is also of interest to clarify to what extent machine learning can be used to model and predict dynamical system structures that do not appear in training time series explicitly. In this mini-symposium, we will learn of new results on machine learning for dynamics and its applications to complex phenomena such as fluid and climate dynamics. Examples include the prediction of invariant sets $($fixed points, periodic points, strange attractors, and invariant manifolds$)$ and their stabilities, tipping point, and missing dynamics.
  • Organizer(s) : Masanobu Inubushi, Kengo Nakai, Hirofumi Notsu, Yoshitaka Saiki
  • read more about [02499]

[02514] Developing Performance Portable, Scalable and AI enabled Fusion Energy Physics Framework

  • Abstract : The plasma physics and tokomak engineering are widely recognized as a challenging “exascale” multi-scale multi-physics application. Recent advances in exascale computing, artificial intelligence (AI), and machine learning have paved the way for unprecedented opportunities in “in-silico” fusion reactor interpretation and design. Deep learning and the availability of powerful, easy-to-use HPC/ML toolboxes have played a significant role in achieving such breakthroughs. In this minisymposia, we are aiming to present recent advances in general numerical methods with adaptive meshes, AI methods, surrogate modelling, and performance-portable programming techniques for current and future computing architectures.
  • Organizer(s) : Xiaohu Guo, Jony Castagna, Vignesh Gopakumar, Stanislas Pamela
  • read more about [02514]

[02515] Novel deep learning methodologies in Industrial and Applied Mathematics

  • Abstract : The proposed mini-symposium is focused on a few novel techniques in IAM, their applications and promising opportunities. The techniques considered rely on artificial intelligence methods to solve problems in engineering, like wind turbine preventive maintenance or predicting molecular weights of industrial polymers using diffusion NMR spectroscopy; to advance in making AI more reliable by enabling it to cope with causality and thereby enhancing its explainability; to promote neural networks capable of directly processing geometric entities and use them for robust deep learning in various domains, including artificial vision; and to tackle with the engineering problems of multiphasic electric power generation.
  • Organizer(s) : Sebastian Xambó-Descamps, Yolanda Vidal, Eduardo U. Moya Sánchez
  • read more about [02515]

[02526] Recent Develoments of Mathematical Economics Focusing on Macroeconomic Dynamics

  • Abstract : Successful investigation is highlighted about application of cutting-edge mathematical methodology to traditional macroeconomic models. We will show how modern methodology can fit into these studies. In particular, the session presents an evaluation of a deterministic limit cycle in a stochastic post-Keynesian model, endogenous fluctuations of money and foreign exchange ratio in a Mundell-Fleming international trade framework, applications of nonlinear differential equations for the birth of GDP fluctuations in a three-country Kaldor model with fixed exchange rates and estimation of the natural rate of interest by utilizing various filters, which is one of the significant topics of empirical macroeconomics
  • Organizer(s) : Akio Matsumoto, Ferenc Szidarovszky
  • read more about [02526]

[02527] AI for Healthcare and Medicine

  • Abstract : The minisymposium will explore the various ways in which artificial intelligence is being used in the field of healthcare and medicine, with a focus on the use of privacy-preserving machine learning. The symposium will feature presentations from experts in the field, who will discuss the latest developments and trends in AI for healthcare and medicine, including the use of federated learning and data collaboration for training machine learning models on decentralized data. The symposium will provide attendees with a comprehensive overview of the current state of AI in healthcare and medicine, and will offer insights into the potential future developments in this rapidly evolving
  • Organizer(s) : Tetsuya Sakurai, Akira Imakura, Weichung Wang, Li-Chen Fu
  • read more about [02527]

[02533] Reliable and Efficient Numerical Computation of Nonlocal Models

  • Abstract : Nonlocal models, which have proven effective in capturing long-range interactions in diverse applications, often involve integrals over a nonlocal horizon. Proper numerical discretization of these integrals is essential to ensure reliable and efficient simulations of the models. This requires addressing issues such as efficiently evaluating nonlocal integrals with domain-specific and computationally suitable meshes, as well as ensuring robustness as the size of the nonlocal horizon approaches zero. This minisymposium provides a platform for researchers to share their experiences and insights on designing reliable and efficient numerical schemes for nonlocal models.
  • Organizer(s) : Kuang Huang, Xiaobo Yin
  • read more about [02533]

[02537] Structured Low-Rank Matrices and Their Applications

  • Abstract : Large dense matrices are ubiquitous in engineering and data science applications, e.g. preconditioners for iterative boundary integral solvers, frontal matrices in sparse multifrontal solvers, and computing the determinant of covariance matrices. Such dense matrices have a numerical low-rank structure, which can be exploited to reduce the complexity of matrix multiplication and factorization from cubic to (near-)linear. As mixed-precision and randomized linear algebra become commonplace, such approximations become increasingly important.
  • Organizer(s) : Rio Yokota, Hatem Ltaief
  • read more about [02537]

[02541] Biochemical reaction network reduction methods & multiple timescale dynamics

  • Abstract : The last couple of years has seen a flurry of research output on the topic of model reduction based on reactions evolving on disparate timescales. This minisymposium will provide the opportunity to present & discuss the state-of-the-art in this field from multiple angles spanning mathematical theory to synthetic biology and other biochemical applications, and its challenges.
  • Organizer(s) : Martin Wechselberger, Jae Kyoung Kim,
  • read more about [02541]

[02545] Challenges and Recent Advances in Phylogenetics

  • Abstract : Phylogenetic trees and networks are used to elucidate the evolutionary history of genes or species. Data proliferation due to recent technological advancements has led to the pursuit of more efficient algorithms and novel approaches. Advances in the area can lead to breakthroughs in various disciplines of biology and life sciences, including genetics, cell biology, zoology, botany, microbiology, epidemiology, drug discovery, and biodiversity conservation, to name a few. This mini-symposium will cover recent topics related to phylogenetic research, from both theoretical and practical viewpoints, with results from algebra, algorithms, bioinformatics, combinatorics, computational complexity, geometry, statistics, and software development.
  • Organizer(s) : Momoko Hayamizu, Yuki Murakami, Koyo Hayashi, Hiroshi Hirai
  • read more about [02545]

[02557] Collaboration of machine learning and physics-based simulation on earthquake disasters

  • Abstract : In Japan, strong-ground-motion data have been accumulated over a quarter of a century by a nationwide observation network. Large-scale physics-based simulations using HPC have enabled evaluations that consider the uncertainties of natural phenomena. Studies have begun to make up for the observation data related to large-scale disasters, which are currently lacking, using these simulation data. Furthermore, as studies toward hazard and risk assessment, surrogate modeling and damage assessment modeling by machine learning using observation and simulation data are being performed. In this mini-symposium, we will introduce the collaborative research of machine learning and physics-based simulation mainly on earthquake disasters.
  • Organizer(s) : Takahiro Maeda, Takuzo Yamashita, Asako Iwaki, Ryuta Imai
  • read more about [02557]

[02561] Mathematical Puzzles and Games in Theoretical Computer Science

  • Abstract : Research on puzzles and games from the viewpoint of theoretical computer science has continued without any break in the history of theoretical computer science. Sometimes the research on computational complexity classes has proceeded by understanding the tons of puzzles. The wide collection of complete problems for a specific computational complexity class shares a common property, which gives us a deep understanding of the class. In this mini-symposium, we will explore the latest topics, results, and trends related to puzzles and games from the viewpoints of mathematics and theoretical computer science.
  • Organizer(s) : Ryuhei Uehara
  • read more about [02561]

[02562] Recent development in data-driven modeling, data assimilation, and applications: meteorology, oceanography ionosphere, hydrology, environment

  • Abstract : Mullti-physics problems typically have essential dynamics. Numerical models are often hindered by difficulties in fully
    capturing the relevant physics. Nowadays, more attention has been given to data science approaches. A hybrid AI
    and multiscale physical modeling approach could be the optimal way to provide a dynamic understanding of the
    governing equations. Data-driven modeling results may find some patterns which are not expected from physical
    modeling. This session aims at exploring the challenges of physical and data-driven modeling for real-time
    prediction and applications to geosciences, addressing uncertainty quantification, data assimilation, high-performance
    computing, machine learning, numerical methods, and reduced order modeling.
  • Organizer(s) : Haroldo Fraga de Campos Velho, Fangxin Fang
  • read more about [02562]

[02567] Data-driven Computational Mechanics for Structures, Structural Dynamics, and Materials

  • Abstract : Topics of this mini-symposium include, but not limited to, data-driven methods; incorporation of machine learning techniques; uncertainty quantification, and inverse problems in structures, structural dynamics and materials. Special emphasis is on the fields of structures, structural dynamics and materials with large-scale industry-relevant problems. Potential topics also include integrated modeling and design optimization, multiscale/multi-physics simulation based on the relevant data-driven process. The mini-symposium will bring together researchers working on both fundamental and applied aspects of data-driven computational mechanics to provide a forum for discussion, interaction, and assessment of techniques.
  • Organizer(s) : Haeseong Cho, Youngsoo Choi, SangJoon Shin
  • read more about [02567]

[02569] Quantification of Business Uncertainties through Industrial Mathematics

  • Abstract : We are living in exceptional times, as trade conflicts, climate change and crises-related-pandemic are creating uncertainties that may influence the current business environment. Businesses face risks that are difficult to be measured. However, collaborative efforts among academia, industries, government and civil society through industrial mathematics will facilitate IN creating new sustainable ways of doing business in an unstable environment. This APCMfI minisymposium will discuss the handling and managing business uncertainties. Firstly, identification of challenges introduced by the uncertainties at operational and decision making, and secondly, the deliberation on the techniques in quantifying uncertainties and tackling the challenges.
  • Organizer(s) : Arifah Bahar, Zainal Abdul Aziz, Osamu Seiki, Kenji Kajiwara
  • read more about [02569]

[02570] Parameter Estimation, Targeted Observation, and Data Assimilation in Coupled Systems

  • Abstract : This minisymposium focuses on the coupled weather/climate prediction systems, whose components are atmosphere, land surface, chemistry, etc.; topics include but not limited to parameter estimation, data assimilation, targeted observation, sensitivity analysis, uncertainty quantification, and predictability in the coupled systems.
  • Organizer(s) : Sujeong Lim, Ji Won Yoon, Xiaohao Qin, Ting-Chi Wu, Shigenori Otsuka
  • read more about [02570]

[02578] Interfaces and Mixing – Conservation Laws and Boundary Value Problems

  • Abstract : Interfaces and interfacial mixing and their non-equilibrium dynamics control a broad range of processes in nature, technology, industry, from supernovae and fusion to alternative energy sources and purification of water. Mathematically, these problems are extremely challenging to study in theory and in simulations. Analytically, one needs to solve the conservation laws, augmented with singular boundary value problem and ill-posed initial value problem. Numerical modeling imposes high demands on the accuracy, precision and the scale of computations. The mini-symposium builds upon recent achievements in understanding the dynamics of interfaces and mixing, and reports solutions for long-time challenges in fundamentals and applications.
  • Organizer(s) : Snezhana Abarzhi, James Glimm, Alexander Nepomnyashchy, Yasuhide Fukumoto
  • read more about [02578]

[02591] Recent advances in data-driven modeling and computational methods

  • Abstract : The minisymposium “recent advances in data-driven modeling and computational methods” covers a wide range of topics including topological data analysis, physics-informed neural networks, and data-driven modeling and numerical methods. It provides a platform for experts and junior researchers to exchange ideas and share knowledge in these areas.This minisymposium is organized by the East Asia section of SIAM (EASIAM), and the organizers and speakers represent a broad list of countries covered by SIAM. We hope the minisymposium would provide an ideal opportunity for communication among EASIAM members, and to promote EASIAM internationally.
  • Organizer(s) : Yoshinobu Kawahara, Yao Yao, Zhiwen Zhang
  • read more about [02591]

[02600] Applied and computational discrete algorithms

  • Abstract : Combinatorial and discrete mathematical problems arise in many real-life applications. Their solution requires designing, analyzing and implementing discrete algorithms. The research in this area therefore brings together mathematicians, computer scientists, statisticians, domain scientists and engineers to solve problems of applied and computational combinatorics. The proposed two-part minisymposium covers scientific computing, machine learning, and graph algorithms. The objective is to summarize the latest discrete algorithmic developments and their applications with computational studies on the applications. This minisymposium follows similar ones held in ICIAM 2019, ICIAM 2015, and ICIAM 2011 on combinatorial aspects of sparse matrix computations.
  • Organizer(s) : Alex Pothen, Bora Ucar
  • read more about [02600]

[02612] Mathematical modeling of biofilm systems and applications

  • Abstract : The majority of microbial life on Earth occurs in biofilms, heterogeneous microbial communities embedded in layers of a self-produced extracellular matrix. Biofilms have a detrimental role in industrial and medical applications, via antibiotic-resistant infections, corrosion and fouling. On the other hand, they are also widely used in bioremediation technologies to improve water quality and generate renewable resources. The non-linear, multidimensional and multiscale nature of these complex microbial systems provides ample opportunity for investigation with theoretical modeling. This minisymposium focuses on continuum deterministic models, and brings together different biofilm applications, modeling approaches, and methods for model analysis.
  • Organizer(s) : N.G. Cogan, Vincenzo Luongo, Maria Rosaria Mattei
  • read more about [02612]

[02613] Advances in Variational and Hemivariational Inequalities: Modeling, Analysis, and Applications

  • Abstract : This minisymposium highlights recent developments in the mathematical analysis, numerical solution, and real-world applications of variational and hemivariational inequalities. The focus is on the modeling of problems leading to such inequalities, the well-posedness and properties of their solutions, numerical analysis, optimal control and optimization, and their applications in mechanics and physics. The related topics include, but are not limited to, dynamical systems, fixed points, nonconvex and nonsmooth analysis, nonlinear inclusions, and numerical methods. The overall goal of the minisymposium is to foster collaboration and knowledge-sharing among researchers working in the area of variational and hemivariational inequalities and their applications.
  • Organizer(s) : Stanislaw Migorski, Fei Wang
  • read more about [02613]

[02616] Recent Developments in Applied Inverse Problems

  • Abstract : This minisymposium addresses both theoretical and algorithmic aspects of inverse problems arising in tomography as well as their applications. We will bring together well established scientists and young researchers to provide a forum to discuss new ideas and developments in the field of applied inverse problems.
  • Organizer(s) : Hiroshi Fujiwara, Kamran Sadiq
  • read more about [02616]

[02618] Recent Developments in Hyperspectral and Multispectral Imaging

  • Abstract : Hyperspectral and multispectral images contain plenties of spatial–spectral information, which brings a substantial opportunity to explore and understand their features. This Mini-symposium provides a platform for researchers to share innovative ideas about algorithm developments associated with this type of imaging. Attendees can expect to learn about the latest techniques from model-based and data-driven perspectives and their applications in remote sensing, computational imaging, and medical imaging.
  • Organizer(s) : Chao Wang, Jizhou Li
  • read more about [02618]

[02628] Mathematical Modeling on waste reduction through sustainable developmnet.

  • Abstract : This study explores the use of sustainable inventory modeling as a tool for waste reduction in the context of manufacturing industries. Traditional inventory management models tend to prioritize cost reduction and efficiency, often leading to excess inventory and waste generation. The results suggest that sustainable inventory modeling can be a valuable approach for waste reduction and sustainability in manufacturing industries, providing a framework for organizations to achieve economic and environmental benefits while balancing the needs of various stakeholders.
  • Organizer(s) : Prof. Shiv Raj Singh, Dipti Singh.
  • read more about [02628]

[02644] Black box methods for efficient learning in high-dimensional scientific computing

  • Abstract : The past decade has seen an explosion of interest in the use of black box modeling techniques in scientific computing. Driven by advances in hardware and software, researchers have begun to harness the power of these techniques to solve a wide range of complex and high-dimensional problems arising in computational science and engineering. This minisymposium aims to bring together experts from various fields including data science, high-dimensional approximation, deep learning, optimization, control, and scientific computing to share their latest research and developments in this exciting and rapidly evolving area of computational science.
  • Organizer(s) : Nick Dexter, Clayton Webster, Guannan Zhang
  • read more about [02644]

[02671] Recent advances on the analysis of hyperbolic balance laws

  • Abstract : Hyperbolic balance laws are of great interest owing to their importance in applications, such as the Euler equations, magnetohydrodynamic system, Boltzmann equations, and in applied mathematics. Recently, there have been a lot of advances in ascertaining the global well-posedness of such systems. The generic breakdown of classical solutions requires one to enlarge the space to hope for well-posedness or add `good’ source terms.
    The mathematical studies of these PDEs pose significant analytical/numerical challenges. This minisymposium seeks to bring together researchers to promote exchange of ideas, and present recent developments on the mathematical analysis and novel methods in this area.
  • Organizer(s) : Manas Bhatnagar, Geng Chen, Hailiang Liu
  • read more about [02671]

[02700] Recent developments on Infinite Dimensional Analysis, Stochastic Analysis and Quantum Probability

  • Abstract : There has been a great achievement of the theory in both white noise analysis $($as an infinite dimensional analysis$)$ and quantum probability theory starting from the seventies of the last century. These two theories have been developed and unified in order to get important directions on the quantum information theory, quantum computation and etc. In this session we would like to discuss connections between white noise analysis and quantum information theory through the experts’ talks in each fields including the mathematical finance.
  • Organizer(s) : Isamu Doku, Kimiaki Saito
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[03056] Data-driven methods to discover within-host biological dynamics

  • Abstract : Our minisymposium brings together researchers whose goal is to develop and apply algorithms towards discovering and documenting within-host dynamics of the immune system and infectious disease. One of the common challenges of this field is the degree to which existing databases of prior knowledge should be incorporated to enhance the analysis of new bioinformatic data sets. Presenters will discuss their varied research projects in this space. Throughout the minisymposium, we aim to foster a dialogue among the presenters, as well as minisymposium participants, from which the nuances of this field can be discussed.
  • Organizer(s) : Manuchehr Aminian, Michael Kirby
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