Department of Computing and Mathematical Sciences, Caltech, Pasadena, CA 91125, USA; Institute for Computational & Mathematical Engineering, Stanford University, Stanford, CA 94305, USA; Mathematics Department, Duke University, Durham, NC 27708-0320; Department of Mathematics, Stanford University, Stanford, CA 94305, USA; Department of Management Science & Engineering, Stanford University, Stanford, CA 94305, USA
Yiping Lu, Haoxuan Chen, Jianfeng Lu, Lexing Ying, Jose Blanchet
Numerical PDE;non-parametric statistics;computational physics
Machine Learning For Elliptic PDEs: Fast Rate Generalization Bound, Neural Scaling Law and Minimax Optimality