2 papers
stat.ME2024
A Kernel-Based Conditional Two-Sample Test Using Nearest Neighbors (with Applications to Calibration, Regression Curves, and Simulation-Based Inference)
Anirban Chatterjee, Ziang Niu, Bhaswar B. Bhattacharya
In this paper we introduce a kernel-based measure for detecting differences between two conditional distributions. Using the `kernel trick' and nearest-neighbor graphs, we propose…
math.ST2022
Distribution-free joint independence testing and robust independent component analysis using optimal transport
Ziang Niu, Bhaswar B. Bhattacharya
In this paper we study the problem of measuring and testing joint independence for a collection of multivariate random variables. Using the emerging theory of optimal transport (OT…