Search Results for author: Rungang Han

Found 3 papers, 0 papers with code

Exact Clustering in Tensor Block Model: Statistical Optimality and Computational Limit

no code implementations18 Dec 2020 Rungang Han, Yuetian Luo, Miaoyan Wang, Anru R. Zhang

High-order clustering aims to identify heterogeneous substructures in multiway datasets that arise commonly in neuroimaging, genomics, social network studies, etc.

An Optimal Statistical and Computational Framework for Generalized Tensor Estimation

no code implementations26 Feb 2020 Rungang Han, Rebecca Willett, Anru R. Zhang

Under mild conditions on the loss function, we establish both an upper bound on statistical error and the linear rate of computational convergence through a general deterministic analysis.

Denoising

Optimal Sparse Singular Value Decomposition for High-dimensional High-order Data

no code implementations6 Sep 2018 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.

Dimensionality Reduction

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