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math.ST2024
Optimal Estimation of Shared Singular Subspaces across Multiple Noisy Matrices
Zhengchi Ma, Rong Ma
Estimating singular subspaces from noisy matrices is a fundamental problem with wide-ranging applications across various fields. Driven by the challenges of data integration and mu…
math.NA2024
A Micro-Macro Decomposition-Based Asymptotic-Preserving Random Feature Method for Multiscale Radiative Transfer Equations
Jingrun Chen, Zheng Ma, Keke Wu
This paper introduces the Asymptotic-Preserving Random Feature Method (APRFM) for the efficient resolution of multiscale radiative transfer equations. The APRFM effectively address…
math.NA2024
Capturing Shock Waves by Relaxation Neural Networks
Nan Zhou, Zheng Ma
In this paper, we put forward a neural network framework to solve the nonlinear hyperbolic systems. This framework, named relaxation neural networks(RelaxNN), is a simple and scala…