5 papers · 1 filter
Optimal structure learning and conditional independence testing
Ming Gao, Yuhao Wang, Bryon Aragam
We establish a fundamental connection between optimal structure learning and optimal conditional independence testing by showing that the minimax optimal rate for structure learnin…
Minimax estimation of functionals in sparse vector model with correlated observations
Yuhao Wang, Pengkun Yang, Alexandre B. Tsybakov
We consider the observations of an unknown -sparse vector corrupted by Gaussian noise with zero mean and unknown covariance matrix . We propos…
A multivariate extension of Azadkia-Chatterjee's rank coefficient
Wenjie Huang, Zonghan Li, Yuhao Wang
The Azadkia-Chatterjee coefficient is a rank-based measure of dependence between a random variable and a random vector . In…
Latent confounding in high-dimensional nonlinear models
Yuhao Wang, Rajen Shah
We consider the the problem of identifying causal effects given a high-dimensional treatment vector in the presence of low-dimensional latent confounders. We assume a parametric st…
Residual permutation test for regression coefficient testing
Kaiyue Wen, Tengyao Wang, Yuhao Wang
We consider the problem of testing whether a single coefficient is equal to zero in linear models when the dimension of covariates can be up to a constant fraction of sample si…