Registered Data

[CT069]

[00680] Computing p-Harmonic Descent Directions for Shape Optimization

  • Session Date & Time : 4E (Aug.24, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : Recent development in shape optimization suggests enhanced results by using a $p$-harmonic approach to determine descent directions. Therefore, we present the extension of an algorithm to solve the occurring vector-valued $p$-Laplace problem subject to a boundary force without requiring an iteration over the order $p$ and thus compute higher-order solutions efficiently. Results are verified by numerical experiments in a fluid dynamic setting.
  • Classification : 49Q10, 49M41
  • Author(s) :
    • Henrik Wyschka (University of Hamburg)
    • Martin Siebenborn (University of Hamburg)
    • Winnifried Wollner (University of Hamburg)

[00797] Shape optimization methods and Stokes equations

  • Session Date & Time : 4E (Aug.24, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : In this work, we want to detect the shape and the location of an inclusion w via some measurement on the boundary of the domain D. In practice, the body w is immersed in a fluid flowing in a greater domain D and governed by the Stokes equations. We aim to study the inverse problem with Neumann and mixed boundary conditions.
  • Classification : 49Q10
  • Author(s) :
    • Chahnaz Zakia TIMIMOUN (Université Oran1 Ahmed Ben Bella)

[02321] Anisotropic perimeter approximation for topology optimization

  • Session Date & Time : 4E (Aug.24, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : Perimetric type functionals are known to be difficult to handle directly within topology optimization algorithms because of their high sensitivity to topology changes. I will present a Gamma-convergence approximation of an anisotropic variant of the perimeter which is built upon the solution of an elliptic boundary value problem. I will discuss the advantages of such a construction over local approximations, and show applications to the optimal design of supports in additive manufacturing.
  • Classification : 49Q10, 49Q20, 49Q05
  • Author(s) :
    • Samuel Amstutz (Ecole polytechnique)
    • Beniamin Bogosel (Ecole polytechnique)

[00122] Exact expansion of functions using partial derivatives: sensitivity analysis

  • Session Date & Time : 4E (Aug.24, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : Expansions of functions such as Taylor’ series, ANOVA and anchored decompositions are widely used for approximating and analyzing complex mathematical models. We propose a novel and exact expansion of functions using their cross-partial derivatives, the distribution functions and densities of the input variables. In uncertainty quantification and multivariate sensitivity analysis, such expansion allows for developing a dimension-free computation of sensitivity indices for dynamic models, and for proposing new lower and upper bounds of total indices.
  • Classification : 49Q12, 46G10, 46G99
  • Author(s) :
    • Matieyendou LAMBONI (université de Guyane)

[00619] Optimal Transport for Positive and Unlabeled Learning

  • Session Date & Time : 4E (Aug.24, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : Positive and unlabeled learning (PUL) aims to train a binary classifier based on labeled positive samples and unlabeled Samples, which is challenging due to the unavailability of negative training samples. This talk will introduce a novel optimal transport model with a regularized marginal distribution for PUL. By using the Frank-Wolfe algorithm, the proposed model can be solved properly. Extensive experiments showed that the proposed model is effective and can be used in meteorological applications.
  • Classification : 49Q22, 68T01
  • Author(s) :
    • Jie ZHANG (University of Hong Kong)
    • Yuguang YAN (Guangdong University of Technology)
    • Michael Ng (University of Hong Kong)