3 papers
math.AP2026
Forward and inverse problems of a semilinear transport equation
Kui Ren, Yimin Zhong
We study forward and inverse problems for a semilinear radiative transport model where the absorption coefficient depends on the angular average of the transport solution. Our firs…
math.NA2026
An explicit spectral decomposition of the ADRT
Weilin Li, Karl Otness, Kui Ren +1
The approximate discrete Radon transform (ADRT) is a hierarchical multiscale approximation of the Radon transform. In this paper, we factor the ADRT into a product of linear transf…
cs.LG2024
Sampling with Adaptive Variance for Multimodal Distributions
Björn Engquist, Kui Ren, Yunan Yang
We propose and analyze a class of adaptive sampling algorithms for multimodal distributions on a bounded domain, which share a structural resemblance to the classic overdamped Lang…