Research

Current Research Interests

  • Up to date information about my research can be found on My Research Homepage
  • Neural Operators (Learning in infinite-dimensional function spaces, as opposed to traditional neural networks that learn vector-to-vector mappings); Short Intro
  • Equivariant Networks (Embedding symmetries into neural networks); Short Intro 1 ;Short Intro 2

Past Research: Physics Informed Neural Networks

  • Participated in the NSF funded REU program “Mathematical, Statistical and Computational Methods for Problems inthe Life Sciences”.
  • Designed Active Learning based Sampling to adaptively sample training examples to faster the convergence.
  • Designed Self-normalized algorithm to simulate draws from unnormalized distributions.
  • Compatible with 3 recent DL based PDE solvers: Deep Rits Method, Deep Galerkin Method, Weak Adversarial Networks
  • Poster
  • Paper
  • Git Repo