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Department of Mathematics

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Workshop on Variationally Stable Neural Networks

University of South Carolina 
Sumwalt Collage, Room 219
(1212 Greene St.)

February 16 – 17, 2024


The workshop features three sessions in which the presentations will be mixed with discussions and short breaks. The following order of the presentations is suggested, but not guaranteed.

Download copy of schedule

Friday, February 16, 2024

9:30 a.m. – 12:30 p.m.

  • Leszek Demkowicz (University of Texas at Austin)
    DPG enables the use of multiple variational formulations
  • Wolfgang Dahmen and Zhu Wang (University of South Carolina)
    Certifiability of Primal-Dual-Methods for GAN
  • Leszek Demkowicz (University of Texas at Austin)
    The double adaptivity method. Theory and 2D experiments

2:00 p.m. – 5:00 p.m.

  • Jonathan Zhang (University of Texas at Austin)
    Variational Formulations for the Cook’s Membrane Problem
  • Jay Gopalakrishnan (Portland State University)
    Applications in Optics
  • Yuan Qiu (Georgia Tech)
    Derivative-enhanced deep operator network

Saturday, February 17, 2024

9:30 a.m. – 12:00 p.m.

  • Hong Wang (University of South Carolina)
    Variable-order FPDEs for anomalous transport in heterogeneous media and vibration of viscoelastic structures: modeling, analysis, and control
  • Peng Chen (Georgia Tech)
    Scalable neural operator for Bayesian optimal experimental design

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