Near-linear time approximation algorithms for optimal transport via Sinkhorn iteration

J Altschuler, J Niles-Weed… - Advances in neural …, 2017 - proceedings.neurips.cc
Computing optimal transport distances such as the earth mover's distance is a fundamental
problem in machine learning, statistics, and computer vision. Despite the recent introduction …

Least squares after model selection in high-dimensional sparse models

A Belloni, V Chernozhukov - 2013 - projecteuclid.org
Supplementary material for Least squares after model selection in high-dimensional sparse
models. The online supplemental article 2 contains a finite sample results for the estimation …

[BOOK][B] Introduction to high-dimensional statistics

C Giraud - 2021 - taylorfrancis.com
Praise for the first edition:"[This book] succeeds singularly at providing a structured
introduction to this active field of research.… it is arguably the most accessible overview yet …

Minimax Rates of Estimation for High-Dimensional Linear Regression Over -Balls

G Raskutti, MJ Wainwright, B Yu - IEEE transactions on …, 2011 - ieeexplore.ieee.org
Consider the high-dimensional linear regression model y= X β*+ w, where y∈\BBR n is an
observation vector, X∈\BBR n× d is a design matrix with d>; n, β*∈\BBR d is an unknown …

Bayesian linear regression with sparse priors

I Castillo, J Schmidt-Hieber, A Van der Vaart - The Annals of Statistics, 2015 - JSTOR
We study full Bayesian procedures for high-dimensional linear regression under sparsity
constraints. The prior is a mixture of point masses at zero and continuous distributions …

[BOOK][B] Oracle inequalities in empirical risk minimization and sparse recovery problems: École D'Été de Probabilités de Saint-Flour XXXVIII-2008

V Koltchinskii - 2011 - books.google.com
The purpose of these lecture notes is to provide an introduction to the general theory of
empirical risk minimization with an emphasis on excess risk bounds and oracle inequalities …

Estimation and inference for high-dimensional generalized linear models with knowledge transfer

S Li, L Zhang, TT Cai, H Li - Journal of the American Statistical …, 2024 - Taylor & Francis
Transfer learning provides a powerful tool for incorporating data from related studies into a
target study of interest. In epidemiology and medical studies, the classification of a target …

High-dimensional statistics

P Rigollet, JC Hütter - arxiv preprint arxiv:2310.19244, 2023 - arxiv.org
arxiv:2310.19244v1 [math.ST] 30 Oct 2023 Page 1 arxiv:2310.19244v1 [math.ST] 30 Oct
2023 High-Dimensional Statistics Lecture Notes Philippe Rigollet and Jan-Christian Hütter …

Transfer learning for high-dimensional linear regression: Prediction, estimation and minimax optimality

S Li, TT Cai, H Li - Journal of the Royal Statistical Society Series …, 2022 - academic.oup.com
This paper considers estimation and prediction of a high-dimensional linear regression in
the setting of transfer learning where, in addition to observations from the target model …

Sparse PCA: Optimal rates and adaptive estimation

TT Cai, Z Ma, Y Wu - 2013 - projecteuclid.org
Sparse PCA: Optimal rates and adaptive estimation Page 1 The Annals of Statistics 2013, Vol.
41, No. 6, 3074–3110 DOI: 10.1214/13-AOS1178 © Institute of Mathematical Statistics, 2013 …