44 citations · 93 across the 7 of their papers we have counts for
7 papers
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…
Multivariate Symmetry: Distribution-Free Testing via Optimal Transport
Zhen Huang, Bodhisattva Sen
The sign test (Arbuthnott, 1710) and the Wilcoxon signed-rank test (Wilcoxon, 1945) are among the first examples of a nonparametric test. These procedures -- based on signs, (absol…
A Kernel Measure of Dissimilarity between Distributions
Zhen Huang, Bodhisattva Sen
Given distributions defined on a general measurable space, we introduce a nonparametric (kernel) measure of multi-sample dissimilarity (KMD) -- a parameter that quantifi…
Robust analytic continuation of Green's functions via projection, pole estimation, and semidefinite relaxation
Zhen Huang, Emanuel Gull, Lin Lin
Green's functions of fermions are described by matrix-valued Herglotz-Nevanlinna functions. Since analytic continuation is fundamentally an ill-posed problem, the causal space desc…
Kernel Partial Correlation Coefficient -- a Measure of Conditional Dependence
Zhen Huang, Nabarun Deb, Bodhisattva Sen
In this paper we propose and study a class of simple, nonparametric, yet interpretable measures of conditional dependence between two random variables and given a third var…
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…
Next Waves in Veridical Network Embedding
Owen G. Ward, Zhen Huang, Andrew Davison +1
Embedding nodes of a large network into a metric (e.g., Euclidean) space has become an area of active research in statistical machine learning, which has found applications in natu…