Registered Data

[CT054]

  • Session Time & Room
    • CT054 (1/1) : 5D @G709 [Chair: Hongyu Zhu]
  • Classification
    • CT054 (1/1) : Approximation methods and numerical treatment of dynamical systems (37M)

[00996] A Decentralized Approach for Dynamic Graph Clustering

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @G709
  • Type : Contributed Talk
  • Abstract : Interconnected networks characterized by interacting agents can be represented by weighted graphs, with the weight indicating their connection strength. Graph clustering arises naturally in these networks to assist decision making and co-ordination. Among the clustering methods, spectral clustering has emerged as a powerful tool but suffers from slow convergence for large dynamic graphs. Thus, we propose a fast incremental approach for dynamic graphs as an extension of its equivalent decentralized approach based on wave propagation.
  • Classification : 37Mxx, 05Cxx, 65Fxx
  • Format : Talk at Waseda University
  • Author(s) :
    • Hongyu Zhu (Raytheon Technologies Research Center)
    • Hongyu Zhu (Raytheon Technologies Research Center)
    • Tuhin Sahai (SRI International)

[02220] Analytical approximation of phase dynamics for oscillators without polar symmetry

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @G709
  • Type : Contributed Talk
  • Abstract : Predicting and controlling oscillatory systems, despite its relevance, is still an unachieved goal. A simplification method to ease this task is phase reduction, a dimensional reduction scheme that capture the dynamics of each oscillator in just one variable -the phase-. Despite phase reduction importance, analytical results are only available for systems with polar symmetry. In this talk we show how to perform analytical phase reduction on non-symmetric oscillators.
  • Classification : 37Mxx, 37Nxx
  • Format : Talk at Waseda University
  • Author(s) :
    • Ivan Leon (Tokyo Tech Institute of Technology)
    • Hiroya Nakao (Tokyo Tech Institute of Technology)

[00204] Periodicity and Symmetry on a Class of Integral Equations with Weakly Singular Kernels

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @G709
  • Type : Contributed Talk
  • Abstract : In this study, we introduce the periodic and symmetric properties of the states in a class of weakly singular integral equations. Motivation of this paper is based on the main results of previous paper: bounded forces produce bounded states in the infinite field. We furthermore observed that in finite times, steady states show. For each periodicity, two kinds of initial conditions apply: one is same as the original one, the other is the steady state from previous period. For symmetry, we apply same magnitudes of forces but opposite directions.
  • Classification : 37Mxx, 31Axx, 33Exx
  • Format : Talk at Waseda University
  • Author(s) :
    • Shihchung Chiang (Chung Hua University)

[00939] Learning Dynamical Systems from Invariant Measures

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @G709
  • Type : Contributed Talk
  • Abstract : Standard data-driven techniques for learning dynamical systems struggle when observational data has been sampled slowly and state derivatives cannot be accurately estimated. To address this challenge, we assume that the available measurements reliably describe the asymptotic statistics of the dynamical process in question, and we instead treat invariant measures as inference data. We reformulate the velocity learning as a PDE constrained optimization and present several numerical examples to demonstrate the effectiveness of the proposed approach.
  • Classification : 37Mxx, 37Axx
  • Format : Online Talk on Zoom
  • Author(s) :
    • Jonah Botvinick-Greenhouse (Cornell University)
    • Yunan Yang (ETH Zürich)