My personal website

Design of noise, interpolation schedules, and sources in generative dynamics, with enhanced numerical performance

A collection of new and effective affine invariant ensemble samplers (still developing)

An integrated demo: Gaussian processes for PDEs and inverse problems

code for the paper: Multiscale Elliptic PDEs Upscaling and Function Approximation via Subsampled Data

Code for Exponentially convergent multiscale finite element methods (ExpMsFEM)

work in progress

code for the paper: Consistency of Empirical Bayes And Kernel Flow For Hierarchical Parameter Estimation

Code for the paper: Sparse Cholesky Factorization for Solving Nonlinear PDEs via Gaussian Processes

Code for the paper: Solving and Learning Nonlinear PDEs with Gaussian Processes

work in progress

some basic codes in NNs

code for the paper: Optimal Transport Natural Gradient for Statistical Manifolds with Continuous Sample Space

Julia code for the paper: Solving and Learning Nonlinear PDEs with Gaussian Processes

Code for my learning of Vision Transformer