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math.ST2023
On Separability of Covariance in Multiway Data Analysis
Dogyoon Song, Alfred O. Hero
Multiway data analysis aims to uncover patterns in data structured as multi-indexed arrays, with multiway covariance playing a crucial role in many applications. However, the high…
math.ST2018
Deconvolution with Unknown Error Distribution Interpreted as Blind Isotonic Regression
Devavrat Shah, Dogyoon Song
Deconvolution is a statistical inverse problem to estimate the distribution of a random variable based on its noisy observations. Despite the extensive studies on the topic, deconv…
math.ST2017★ 14 cited
Nearest Neighbors for Matrix Estimation Interpreted as Blind Regression for Latent Variable Model
Yihua Li, Devavrat Shah, Dogyoon Song +1
We consider the setup of nonparametric {\em blind regression} for estimating the entries of a large matrix, when provided with a small, random fraction of noisy measur…