9 citations · 24 across the 7 of their papers we have counts for
7 papers
Discussion of "Vintage factor analysis with Varimax performs statistical inference"
Rungang Han, Anru R. Zhang
We wholeheartedly congratulate Drs. Rohe and Zeng for their insightful paper \cite{rohe2020vintage} on vintage factor analysis with Varimax rotation. This note discusses the condit…
Guaranteed Functional Tensor Singular Value Decomposition
Rungang Han, Pixu Shi, Anru R. Zhang
This paper introduces the functional tensor singular value decomposition (FTSVD), a novel dimension reduction framework for tensors with one functional mode and several tabular mod…
Exact Clustering in Tensor Block Model: Statistical Optimality and Computational Limit
Rungang Han, Yuetian Luo, Miaoyan Wang +1
High-order clustering aims to identify heterogeneous substructures in multiway datasets that arise commonly in neuroimaging, genomics, social network studies, etc. The non-convex a…
On the Non-Asymptotic Concentration of Heteroskedastic Wishart-type Matrix
T. Tony Cai, Rungang Han, Anru R. Zhang
This paper focuses on the non-asymptotic concentration of the heteroskedastic Wishart-type matrices. Suppose is a -by- random matrix and i…
A Schatten- Low-rank Matrix Perturbation Analysis via Perturbation Projection Error Bound
Yuetian Luo, Rungang Han, Anru R. Zhang
This paper studies the Schatten- error of low-rank matrix estimation by singular value decomposition under perturbation. We specifically establish a perturbation bound on the lo…
An Optimal Statistical and Computational Framework for Generalized Tensor Estimation
Rungang Han, Rebecca Willett, Anru R. Zhang
This paper describes a flexible framework for generalized low-rank tensor estimation problems that includes many important instances arising from applications in computational imag…
Optimal Sparse Singular Value Decomposition for High-dimensional High-order Data
Anru Zhang, Rungang Han
In this article, we consider the sparse tensor singular value decomposition, which aims for dimension reduction on high-dimensional high-order data with certain sparsity structure.…