no code implementations • 8 Feb 2023 • Björn Engquist, Kui Ren, Yunan Yang
This paper develops and analyzes a stochastic derivative-free optimization strategy.
no code implementations • 26 Jan 2023 • Roberto Molinaro, Yunan Yang, Björn Engquist, Siddhartha Mishra
A large class of inverse problems for PDEs are only well-defined as mappings from operators to functions.
no code implementations • 12 Apr 2022 • Björn Engquist, Kui Ren, Yunan Yang
We propose a new gradient descent algorithm with added stochastic terms for finding the global optimizers of nonconvex optimization problems.
no code implementations • ICLR 2022 • Björn Engquist, Kui Ren, Yunan Yang
The generalization capacity of various machine learning models exhibits different phenomena in the under- and over-parameterized regimes.