2 papers
math.NA2025
Constrained high-index saddle dynamics for the solution landscape with equality constraints
Jianyuan Yin, Zhen Huang, Lei Zhang
We propose a constrained high-index saddle dynamics (CHiSD) method to search for index- saddle points of an energy functional subject to equality constraints. With Riemannian ma…
stat.ME2025
Multivariate Distribution-Free Nonparametric Testing: Generalizing Wilcoxon's Tests via Optimal Transport
Zhen Huang, Bodhisattva Sen
This paper reviews recent advancements in the application of optimal transport (OT) to multivariate distribution-free nonparametric testing. Inspired by classical rank-based method…