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Moving Beyond Sub-Gaussianity in High-Dimensional Statistics:
  Applications in Covariance Estimation and Linear Regression

Moving Beyond Sub-Gaussianity in High-Dimensional Statistics: Applications in Covariance Estimation and Linear Regression

8 April 2018
Arun K. Kuchibhotla
Abhishek Chakrabortty
ArXivPDFHTML

Papers citing "Moving Beyond Sub-Gaussianity in High-Dimensional Statistics: Applications in Covariance Estimation and Linear Regression"

25 / 25 papers shown
Title
Weighted Random Dot Product Graphs
Weighted Random Dot Product Graphs
Bernardo Marenco
P. Bermolen
Marcelo Fiori
Federico Larroca
Gonzalo Mateos
68
1
0
06 May 2025
Concentration Inequalities for Statistical Inference
Concentration Inequalities for Statistical Inference
Huiming Zhang
Songxi Chen
114
63
0
24 Feb 2025
On the best approximation by finite Gaussian mixtures
On the best approximation by finite Gaussian mixtures
Yun Ma
Yihong Wu
Pengkun Yang
52
1
0
13 Apr 2024
A Theory of Non-Linear Feature Learning with One Gradient Step in Two-Layer Neural Networks
A Theory of Non-Linear Feature Learning with One Gradient Step in Two-Layer Neural Networks
Behrad Moniri
Donghwan Lee
Hamed Hassani
Yan Sun
MLT
71
21
0
11 Oct 2023
Reluctant Interaction Modeling
Reluctant Interaction Modeling
Guo Yu
Jacob Bien
Robert Tibshirani
33
20
0
19 Jul 2019
Convergence rates of least squares regression estimators with
  heavy-tailed errors
Convergence rates of least squares regression estimators with heavy-tailed errors
Q. Han
J. Wellner
41
45
0
07 Jun 2017
The Bennett-Orlicz norm
The Bennett-Orlicz norm
J. Wellner
30
16
0
06 Mar 2017
On the estimation of the mean of a random vector
On the estimation of the mean of a random vector
Émilien Joly
Gábor Lugosi
R. Oliveira
41
39
0
19 Jul 2016
Central Limit Theorems and Bootstrap in High Dimensions
Central Limit Theorems and Bootstrap in High Dimensions
Victor Chernozhukov
Denis Chetverikov
Kengo Kato
62
312
0
11 Dec 2014
On higher order isotropy conditions and lower bounds for sparse
  quadratic forms
On higher order isotropy conditions and lower bounds for sparse quadratic forms
Sara van de Geer
Alan Muro
122
29
0
23 May 2014
Sparse recovery under weak moment assumptions
Sparse recovery under weak moment assumptions
Guillaume Lecué
S. Mendelson
140
98
0
09 Jan 2014
The lower tail of random quadratic forms, with applications to ordinary
  least squares and restricted eigenvalue properties
The lower tail of random quadratic forms, with applications to ordinary least squares and restricted eigenvalue properties
R. Oliveira
70
101
0
10 Dec 2013
Gaussian approximation of suprema of empirical processes
Gaussian approximation of suprema of empirical processes
Victor Chernozhukov
Denis Chetverikov
Kengo Kato
100
296
0
31 Dec 2012
Adaptive covariance matrix estimation through block thresholding
Adaptive covariance matrix estimation through block thresholding
By T. Tony Cai
M. Yuan
76
129
0
02 Nov 2012
Nonparametric regression with nonparametrically generated covariates
Nonparametric regression with nonparametrically generated covariates
E. Mammen
C. Rothe
M. Schienle
43
125
0
24 Jul 2012
New concentration inequalities for suprema of empirical processes
New concentration inequalities for suprema of empirical processes
Johannes Lederer
Sara van de Geer
51
33
0
15 Nov 2011
High-dimensional regression with noisy and missing data: Provable
  guarantees with nonconvexity
High-dimensional regression with noisy and missing data: Provable guarantees with nonconvexity
Po-Ling Loh
Martin J. Wainwright
103
560
0
16 Sep 2011
A local maximal inequality under uniform entropy
A local maximal inequality under uniform entropy
A. van der Vaart
J. Wellner
59
80
0
26 Dec 2010
A Unified Framework for High-Dimensional Analysis of M-Estimators with
  Decomposable Regularizers
A Unified Framework for High-Dimensional Analysis of M-Estimators with Decomposable Regularizers
S. Negahban
Pradeep Ravikumar
Martin J. Wainwright
Bin Yu
312
1,377
0
13 Oct 2010
Square-Root Lasso: Pivotal Recovery of Sparse Signals via Conic
  Programming
Square-Root Lasso: Pivotal Recovery of Sparse Signals via Conic Programming
A. Belloni
Victor Chernozhukov
Lie Wang
123
672
0
28 Sep 2010
How close is the sample covariance matrix to the actual covariance
  matrix?
How close is the sample covariance matrix to the actual covariance matrix?
Roman Vershynin
105
286
0
20 Apr 2010
Minimax rates of estimation for high-dimensional linear regression over
  $\ell_q$-balls
Minimax rates of estimation for high-dimensional linear regression over ℓq\ell_qℓq​-balls
Garvesh Raskutti
Martin J. Wainwright
Bin Yu
174
575
0
11 Oct 2009
On the conditions used to prove oracle results for the Lasso
On the conditions used to prove oracle results for the Lasso
Sara van de Geer
Peter Buhlmann
226
729
0
05 Oct 2009
Covariance regularization by thresholding
Covariance regularization by thresholding
Peter J. Bickel
Elizaveta Levina
165
1,270
0
20 Jan 2009
Simultaneous analysis of Lasso and Dantzig selector
Simultaneous analysis of Lasso and Dantzig selector
Peter J. Bickel
Yaácov Ritov
Alexandre B. Tsybakov
365
2,527
0
07 Jan 2008
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