Quantizing Heavy-tailed Data in Statistical Estimation: (Near) Minimax Rates, Covariate Quantization, and Uniform Recovery

30 December 2022

Papers citing "Quantizing Heavy-tailed Data in Statistical Estimation: (Near) Minimax Rates, Covariate Quantization, and Uniform Recovery"

19 / 19 papers shown

Title
Tuning-free one-bit covariance estimation using data-driven dithering S. Dirksen J. Maly 52 7 0 24 Jul 2023
Color Image Inpainting via Robust Pure Quaternion Matrix Completion: Error Bound and Weighted Loss Junren Chen Michael Kwok-Po Ng 43 20 0 04 Feb 2022
Quantizing data for distributed learning Osama A. Hanna Yahya H. Ezzeldin Christina Fragouli Suhas Diggavi FedML 67 20 0 14 Dec 2020
Sub-Gaussian Matrices on Sets: Optimal Tail Dependence and Applications Halyun Jeong Xiaowei Li Y. Plan Özgür Yilmaz 50 18 0 28 Jan 2020
Robust multivariate mean estimation: the optimality of trimmed mean Gabor Lugosi S. Mendelson 43 125 0 26 Jul 2019
Mean estimation and regression under heavy-tailed distributions--a survey Gabor Lugosi S. Mendelson 79 241 0 10 Jun 2019
Moving Beyond Sub-Gaussianity in High-Dimensional Statistics: Applications in Covariance Estimation and Linear Regression Arun K. Kuchibhotla Abhishek Chakrabortty 40 108 0 08 Apr 2018
Federated Learning: Strategies for Improving Communication Efficiency Jakub Konecný H. B. McMahan Felix X. Yu Peter Richtárik A. Suresh Dave Bacon FedML 269 4,620 0 18 Oct 2016
Sub-Gaussian mean estimators Luc Devroye M. Lerasle Gabor Lugosi R. Oliveira 101 186 0 19 Sep 2015
The generalized Lasso with non-linear observations Y. Plan Roman Vershynin 129 199 0 13 Feb 2015
High-dimensional estimation with geometric constraints Y. Plan Roman Vershynin E. Yudovina 123 144 0 14 Apr 2014
Regularized M-estimators with nonconvexity: Statistical and algorithmic theory for local optima Po-Ling Loh Martin J. Wainwright 197 516 0 10 May 2013
Optimal rates of convergence for sparse covariance matrix estimation T. Cai Harrison H. Zhou 132 246 0 13 Feb 2013
Noisy low-rank matrix completion with general sampling distribution Olga Klopp 84 205 0 01 Mar 2012
Robust 1-bit compressed sensing and sparse logistic regression: A convex programming approach Y. Plan Roman Vershynin 172 457 0 06 Feb 2012
Nuclear norm penalization and optimal rates for noisy low rank matrix completion V. Koltchinskii Alexandre B. Tsybakov Karim Lounici 157 663 0 29 Nov 2010
A Unified Framework for High-Dimensional Analysis of M-Estimators with Decomposable Regularizers S. Negahban Pradeep Ravikumar Martin J. Wainwright Bin Yu 280 1,377 0 13 Oct 2010
Restricted strong convexity and weighted matrix completion: Optimal bounds with noise S. Negahban Martin J. Wainwright 162 521 0 10 Sep 2010
$Minimax rates of estimation for high-dimensional linear regression over $\ell_q$-balls$ Minimax rates of estimation for high-dimensional linear regression over $\ell_q$ -balls Garvesh Raskutti Martin J. Wainwright Bin Yu 163 575 0 11 Oct 2009