Publications

Preprints
  • Solving and Learning Nonlinear PDEs with Gaussian Processes
    Yifan Chen, Bamdad Hosseini, Houman Owhadi, Andrew M Stuart
    Submitted, March, 2021. [arXiv]

  • Multiscale Elliptic PDEs Upscaling and Function Approximation via Subsampled Data
    Yifan Chen, Thomas Y. Hou
    Submitted, October, 2020. [arXiv] [Slide]

Journal Publications
  • Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions
    Yifan Chen, Thomas Y. Hou, Yixuan Wang
    To appear in SIAM MMS, 2021. [arXiv] [Slide]

  • Consistency of Empirical Bayes And Kernel Flow For Hierarchical Parameter Estimation
    Yifan Chen, Houman Owhadi, Andrew M. Stuart
    To appear in Mathematics of Computation, 2021. [arXiv] [Short Slide] [Longer Slide] [Short Video] [Longer Video]

  • Function Approximation via The Subsampled Poincare Inequality
    Yifan Chen, Thomas Y. Hou
    Discrete & Continuous Dynamical Systems - A, 2020. [Journal] [arXiv] [Slide]

  • Optimal Transport Natural Gradient for Statistical Manifolds with Continuous Sample Space
    Yifan Chen, Wuchen Li
    Information Geometry, 2020. [Journal] [arXiv] [Slide]

  • Run-and-Inspect Method for Nonconvex Optimization and Global Optimality Bounds for R-Local Minimizers
    Yifan Chen, Yuejiao Sun, Wotao Yin
    Mathematical Programming, 2019. [Journal] [arXiv] [Slide]

  • The Quadratic Wasserstein Metric for Earthquake Location
    Jing Chen, Yifan Chen, Hao Wu, Dinghui Yang
    Journal of Computational Physics, 2018. [Journal] [arXiv] [Slide]

Professional Experience

Referee Service
Selected Talks

Multiscale Computation and Parameter Learning for Kernels from PDEs: Two Provable Examples

Consistency of Hiearchical Parameter Learning: Empirical Bayesian and Kernel Flow Approaches