2 papers
cs.LG2026
A Probabilistic Framework for Solving High-Frequency Helmholtz Equations via Diffusion Models
Yicheng Zou, Samuel Lanthaler, Hossein Salahshoor
Deterministic neural operators perform well on many PDEs but can struggle with the approximation of high-frequency wave phenomena, where strong input-to-output sensitivity makes op…
math.AP2024
The Keller-Segel model with mass critical exponent
Shen Bian, Yichen Zou
We consider a Keller-Segel model with non-linear porous medium type diffusion and non-local attractive power law interaction, focusing on potentials that are less singular than New…