82 citations · 384 across the 49 of their papers we have counts for
5 papers · 1 filter
Cross: Efficient Low-rank Tensor Completion
Anru Zhang
The completion of tensors, or high-order arrays, attracts significant attention in recent research. Current literature on tensor completion primarily focuses on recovery from a set…
Semi-supervised Inference: General Theory and Estimation of Means
Anru Zhang, Lawrence D. Brown, T. Tony Cai
We propose a general semi-supervised inference framework focused on the estimation of the population mean. As usual in semi-supervised settings, there exists an unlabeled sample of…
Minimax Rate-optimal Estimation of High-dimensional Covariance Matrices with Incomplete Data
T. Tony Cai, Anru Zhang
Missing data occur frequently in a wide range of applications. In this paper, we consider estimation of high-dimensional covariance matrices in the presence of missing observations…
Rate-Optimal Perturbation Bounds for Singular Subspaces with Applications to High-Dimensional Statistics
T. Tony Cai, Anru Zhang
Perturbation bounds for singular spaces, in particular Wedin's theorem, are a fundamental tool in many fields including high-dimensional statistics, machine learning, and…
Regression Analysis for Microbiome Compositional Data
Pixu Shi, Anru Zhang, Hongzhe Li
One important problem in microbiome analysis is to identify the bacterial taxa that are associated with a response, where the microbiome data are summarized as the composition of t…