2 papers
math.NA2024
DRM Revisited: A Complete Error Analysis
Yuling Jiao, Ruoxuan Li, Peiying Wu +2
In this work, we address a foundational question in the theoretical analysis of the Deep Ritz Method (DRM) under the over-parameteriztion regime: Given a target precision level, ho…
math.NA2024
Solving the inverse source problem of the fractional Poisson equation by MC-fPINNs
Rui Sheng, Peiying Wu, Jerry Zhijian Yang +1
In this paper, we effectively solve the inverse source problem of the fractional Poisson equation using MC-fPINNs. We construct two neural networks and $f_{NN}(x;Ï…