45 citations · 146 across the 41 of their papers we have counts for
12 papers · 1 filter
On the gradient flow structure of the isotropic Landau equation
Jing An, Lexing Ying
We prove that the isotropic Landau equation equipped with the Coulomb potential introduced by Krieger-Strain and Gualdani-Guillen can be identified with the gradient flow of the en…
Borrowing From the Future: An Attempt to Address Double Sampling
Yuhua Zhu, Lexing Ying
For model-free reinforcement learning, one of the main difficulty of stochastic Bellman residual minimization is the double sampling problem, i.e., while only one single sample for…
Hierarchical Low-rank Structure of Parameterized Distributions
Jun Qin, Lexing Ying
This note shows that the matrix forms of several one-parameter distribution families satisfy a hierarchical low-rank structure. Such families of distributions include binomial, Poi…
Solving Inverse Wave Scattering with Deep Learning
Yuwei Fan, Lexing Ying
This paper proposes a neural network approach for solving two classical problems in the two-dimensional inverse wave scattering: far field pattern problem and seismic imaging. The…
Solving Traveltime Tomography with Deep Learning
Yuwei Fan, Lexing Ying
This paper introduces a neural network approach for solving two-dimensional traveltime tomography (TT) problems based on the eikonal equation. The mathematical problem of TT is to…
Coarse-Proxy Reduced Basis Methods for Integral Equations
Philip A. Etter, Yuwei Fan, Lexing Ying
In this paper, we introduce a new reduced basis methodology for accelerating the computation of large parameterized systems of high-fidelity integral equations. Core to our methodo…