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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…
stat.ME2022★ 1 cited
Reconciling model-X and doubly robust approaches to conditional independence testing
Ziang Niu, Abhinav Chakraborty, Oliver Dukes +1
Model-X approaches to testing conditional independence between a predictor and an outcome variable given a vector of covariates usually assume exact knowledge of the conditional di…
stat.ME2022
Estimation and inference for high-dimensional nonparametric additive instrumental-variables regression
Ziang Niu, Yuwen Gu, Wei Li
The method of instrumental variables provides a fundamental and practical tool for causal inference in many empirical studies where unmeasured confounding between the treatments an…