4 papers
Testing Equality of Conditional Distributions via Generative Models
Hanjia Gao, Linjun Huang, Yun Yang +1
We study the problem of testing whether two conditional distributions are equal using generative models. The proposed method learns a conditional generator from each sample and use…
Testing Conditional Mean Independence Using Generative Neural Networks
Yi Zhang, Linjun Huang, Yun Yang +1
Conditional mean independence (CMI) testing is crucial for statistical tasks including model determination and variable importance evaluation. In this work, we introduce a novel po…
Doubly Robust Conditional Independence Testing with Generative Neural Networks
Yi Zhang, Linjun Huang, Yun Yang +1
This article addresses the problem of testing the conditional independence of two generic random vectors and given a third random vector , which plays an important role…
Minimizing Convex Functionals over Space of Probability Measures via KL Divergence Gradient Flow
Rentian Yao, Linjun Huang, Yun Yang
Motivated by the computation of the non-parametric maximum likelihood estimator (NPMLE) and the Bayesian posterior in statistics, this paper explores the problem of convex optimiza…