44 citations · 117 across the 31 of their papers we have counts for
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math.NA2020★ 2 cited
Multiscale Elliptic PDEs Upscaling and Function Approximation via Subsampled Data
Yifan Chen, Thomas Y. Hou
There is an intimate connection between numerical upscaling of multiscale PDEs and scattered data approximation of heterogeneous functions: the coarse variables selected for derivi…
math.NA2020★ 17 cited
Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions
Yifan Chen, Thomas Y. Hou, Yixuan Wang
In this paper, we introduce a multiscale framework based on adaptive edge basis functions to solve second-order linear elliptic PDEs with rough coefficients. One of the main result…
math.ST2020★ 4 cited
Consistency of Empirical Bayes And Kernel Flow For Hierarchical Parameter Estimation
Yifan Chen, Houman Owhadi, Andrew M. Stuart
Gaussian process regression has proven very powerful in statistics, machine learning and inverse problems. A crucial aspect of the success of this methodology, in a wide range of a…