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math.ST2022
Generalized Median of Means Principle for Bayesian Inference
Stanislav Minsker, Shunan Yao
The topic of robustness is experiencing a resurgence of interest in the statistical and machine learning communities. In particular, robust algorithms making use of the so-called m…
math.ST2019★ 10 cited
Distance-based and RKHS-based Dependence Metrics in High Dimension
Changbo Zhu, Shun Yao, Xianyang Zhang +1
In this paper, we study distance covariance, Hilbert-Schmidt covariance (aka Hilbert-Schmidt independence criterion [Gretton et al. (2008)]) and related independence tests under th…
math.ST2017
Conditional Mean and Quantile Dependence Testing in High Dimension
Xianyang Zhang, Shun Yao, Xiaofeng Shao
Motivated by applications in biological science, we propose a novel test to assess the conditional mean dependence of a response variable on a large number of covariates. Our proce…