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20132023
most citedOpen Problem: Average-Case Hardness of Hypergraphic Planted Clique Detection

12 citations · 14 across the 6 of their papers we have counts for

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5 papers · 1 filter

math.ST20232 cited

Phase transition for detecting a small community in a large network

Jiashun Jin, Zheng Tracy Ke, Paxton Turner +1

How to detect a small community in a large network is an interesting problem, including clique detection as a special case, where a naive degree-based -test was shown to be po…

math.ST2022

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…

math.ST2020

Inference for Low-rank Tensors -- No Need to Debias

Dong Xia, Anru R. Zhang, Yuchen Zhou

In this paper, we consider the statistical inference for several low-rank tensor models. Specifically, in the Tucker low-rank tensor PCA or regression model, provided with any esti…

math.ST2020

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…

math.ST2018

Heteroskedastic PCA: Algorithm, Optimality, and Applications

Anru R. Zhang, T. Tony Cai, Yihong Wu

A general framework for principal component analysis (PCA) in the presence of heteroskedastic noise is introduced. We propose an algorithm called HeteroPCA, which involves iterativ…