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Outlier-robust estimation of a sparse linear model using
  $\ell_1$-penalized Huber's $M$-estimator

Outlier-robust estimation of a sparse linear model using ℓ1\ell_1ℓ1​-penalized Huber's MMM-estimator

12 April 2019
A. Dalalyan
Philip Thompson
ArXivPDFHTML

Papers citing "Outlier-robust estimation of a sparse linear model using $\ell_1$-penalized Huber's $M$-estimator"

47 / 47 papers shown
Title
A Piecewise Lyapunov Analysis of Sub-quadratic SGD: Applications to Robust and Quantile Regression
A Piecewise Lyapunov Analysis of Sub-quadratic SGD: Applications to Robust and Quantile Regression
Yixuan Zhang
Dongyan
Yudong Chen
Qiaomin Xie
24
0
0
11 Apr 2025
Robust Sparse Regression with Non-Isotropic Designs
Robust Sparse Regression with Non-Isotropic Designs
Chih-Hung Liu
Gleb Novikov
36
2
0
31 Oct 2024
Sparse Linear Regression when Noises and Covariates are Heavy-Tailed and
  Contaminated by Outliers
Sparse Linear Regression when Noises and Covariates are Heavy-Tailed and Contaminated by Outliers
Takeyuki Sasai
Hironori Fujisawa
29
0
0
02 Aug 2024
Purification Of Contaminated Convolutional Neural Networks Via Robust
  Recovery: An Approach with Theoretical Guarantee in One-Hidden-Layer Case
Purification Of Contaminated Convolutional Neural Networks Via Robust Recovery: An Approach with Theoretical Guarantee in One-Hidden-Layer Case
Hanxiao Lu
Zeyu Huang
Ren Wang
AAML
26
1
0
04 Jul 2024
Optimal estimation of the null distribution in large-scale inference
Optimal estimation of the null distribution in large-scale inference
Subhodh Kotekal
Chao Gao
17
3
0
12 Jan 2024
Distribution-Independent Regression for Generalized Linear Models with
  Oblivious Corruptions
Distribution-Independent Regression for Generalized Linear Models with Oblivious Corruptions
Ilias Diakonikolas
Sushrut Karmalkar
Jongho Park
Christos Tzamos
18
1
0
20 Sep 2023
On Robust Recovery of Signals from Indirect Observations
On Robust Recovery of Signals from Indirect Observations
Yannis Bekri
A. Juditsky
A. Nemirovski
23
2
0
12 Sep 2023
Linear Regression using Heterogeneous Data Batches
Linear Regression using Heterogeneous Data Batches
Ayush Jain
Rajat Sen
Weihao Kong
Abhimanyu Das
A. Orlitsky
20
3
0
05 Sep 2023
High-dimensional outlier detection and variable selection via adaptive
  weighted mean regression
High-dimensional outlier detection and variable selection via adaptive weighted mean regression
Jiaqi Li
Linglong Kong
Bei Jiang
Wei Tu
23
0
0
24 Jun 2023
Outlier-robust Estimation of a Sparse Linear Model Using Invexity
Outlier-robust Estimation of a Sparse Linear Model Using Invexity
Adarsh Barik
Jean Honorio
13
3
0
22 Jun 2023
Asymptotic Characterisation of Robust Empirical Risk Minimisation
  Performance in the Presence of Outliers
Asymptotic Characterisation of Robust Empirical Risk Minimisation Performance in the Presence of Outliers
Matteo Vilucchio
Emanuele Troiani
Vittorio Erba
Florent Krzakala
22
1
0
30 May 2023
Estimation of sparse linear regression coefficients under
  $L$-subexponential covariates
Estimation of sparse linear regression coefficients under LLL-subexponential covariates
Takeyuki Sasai
28
0
0
24 Apr 2023
Sparse Recovery with Shuffled Labels: Statistical Limits and Practical
  Estimators
Sparse Recovery with Shuffled Labels: Statistical Limits and Practical Estimators
Hang Zhang
Ping Li
18
6
0
20 Mar 2023
Near Optimal Private and Robust Linear Regression
Near Optimal Private and Robust Linear Regression
Xiyang Liu
Prateek Jain
Weihao Kong
Sewoong Oh
A. Suggala
38
9
0
30 Jan 2023
Efficient List-Decodable Regression using Batches
Efficient List-Decodable Regression using Batches
Abhimanyu Das
Ayush Jain
Weihao Kong
Rajat Sen
28
4
0
23 Nov 2022
Robust and Tuning-Free Sparse Linear Regression via Square-Root Slope
Robust and Tuning-Free Sparse Linear Regression via Square-Root Slope
Stanislav Minsker
M. Ndaoud
Lan Wang
37
8
0
30 Oct 2022
Stochastic Mirror Descent for Large-Scale Sparse Recovery
Stochastic Mirror Descent for Large-Scale Sparse Recovery
Sasila Ilandarideva
Yannis Bekri
A. Juditsky
Vianney Perchet
25
1
0
23 Oct 2022
A spectral least-squares-type method for heavy-tailed corrupted
  regression with unknown covariance \& heterogeneous noise
A spectral least-squares-type method for heavy-tailed corrupted regression with unknown covariance \& heterogeneous noise
R. I. Oliveira
Zoraida F. Rico
Philip Thompson
25
0
0
06 Sep 2022
Outlier Robust and Sparse Estimation of Linear Regression Coefficients
Outlier Robust and Sparse Estimation of Linear Regression Coefficients
Takeyuki Sasai
Hironori Fujisawa
27
4
0
24 Aug 2022
Robust Methods for High-Dimensional Linear Learning
Robust Methods for High-Dimensional Linear Learning
Ibrahim Merad
Stéphane Gaïffas
OOD
43
3
0
10 Aug 2022
Robust and Sparse Estimation of Linear Regression Coefficients with
  Heavy-tailed Noises and Covariates
Robust and Sparse Estimation of Linear Regression Coefficients with Heavy-tailed Noises and Covariates
Takeyuki Sasai
18
4
0
15 Jun 2022
Nearly minimax robust estimator of the mean vector by iterative spectral
  dimension reduction
Nearly minimax robust estimator of the mean vector by iterative spectral dimension reduction
A. Bateni
A. Minasyan
A. Dalalyan
19
2
0
05 Apr 2022
Robust Linear Regression for General Feature Distribution
Robust Linear Regression for General Feature Distribution
Tom Norman
Nir Weinberger
Kfir Y. Levy
OOD
17
2
0
04 Feb 2022
Minimax rate of consistency for linear models with missing values
Minimax rate of consistency for linear models with missing values
Alexis Ayme
Claire Boyer
Aymeric Dieuleveut
Erwan Scornet
27
0
0
03 Feb 2022
Kalman Filtering with Adversarial Corruptions
Kalman Filtering with Adversarial Corruptions
Sitan Chen
Frederic Koehler
Ankur Moitra
Morris Yau
AAML
27
10
0
11 Nov 2021
Consistent Estimation for PCA and Sparse Regression with Oblivious
  Outliers
Consistent Estimation for PCA and Sparse Regression with Oblivious Outliers
Tommaso dÓrsi
Chih-Hung Liu
Rajai Nasser
Gleb Novikov
David Steurer
Stefan Tiegel
26
12
0
04 Nov 2021
Adversarial robust weighted Huber regression
Adversarial robust weighted Huber regression
Takeyuki Sasai
Hironori Fujisawa
17
0
0
22 Feb 2021
Robust and Differentially Private Mean Estimation
Robust and Differentially Private Mean Estimation
Xiyang Liu
Weihao Kong
Sham Kakade
Sewoong Oh
OOD
FedML
53
75
0
18 Feb 2021
On the robustness to adversarial corruption and to heavy-tailed data of
  the Stahel-Donoho median of means
On the robustness to adversarial corruption and to heavy-tailed data of the Stahel-Donoho median of means
Jules Depersin
Guillaume Lecué
19
12
0
22 Jan 2021
High-dimensional inference robust to outliers with l1-norm penalization
High-dimensional inference robust to outliers with l1-norm penalization
Jad Beyhum
19
1
0
28 Dec 2020
Outlier-robust sparse/low-rank least-squares regression and robust
  matrix completion
Outlier-robust sparse/low-rank least-squares regression and robust matrix completion
Philip Thompson
19
9
0
12 Dec 2020
Adversarial Robust Low Rank Matrix Estimation: Compressed Sensing and
  Matrix Completion
Adversarial Robust Low Rank Matrix Estimation: Compressed Sensing and Matrix Completion
Takeyuki Sasai
Hironori Fujisawa
19
0
0
25 Oct 2020
Robust High Dimensional Expectation Maximization Algorithm via Trimmed
  Hard Thresholding
Robust High Dimensional Expectation Maximization Algorithm via Trimmed Hard Thresholding
Di Wang
Xiangyu Guo
Shi Li
Jinhui Xu
23
3
0
19 Oct 2020
Online and Distribution-Free Robustness: Regression and Contextual
  Bandits with Huber Contamination
Online and Distribution-Free Robustness: Regression and Contextual Bandits with Huber Contamination
Sitan Chen
Frederic Koehler
Ankur Moitra
Morris Yau
16
34
0
08 Oct 2020
Consistent regression when oblivious outliers overwhelm
Consistent regression when oblivious outliers overwhelm
Tommaso dÓrsi
Gleb Novikov
David Steurer
12
15
0
30 Sep 2020
Out-of-sample error estimate for robust M-estimators with convex penalty
Out-of-sample error estimate for robust M-estimators with convex penalty
Pierre C. Bellec
26
17
0
26 Aug 2020
Online Robust Regression via SGD on the l1 loss
Online Robust Regression via SGD on the l1 loss
Scott Pesme
Nicolas Flammarion
FedML
12
32
0
01 Jul 2020
Robust Meta-learning for Mixed Linear Regression with Small Batches
Robust Meta-learning for Mixed Linear Regression with Small Batches
Weihao Kong
Raghav Somani
Sham Kakade
Sewoong Oh
OOD
10
35
0
17 Jun 2020
Robust Compressed Sensing using Generative Models
Robust Compressed Sensing using Generative Models
A. Jalal
Liu Liu
A. Dimakis
C. Caramanis
21
39
0
16 Jun 2020
Sparse recovery by reduced variance stochastic approximation
Sparse recovery by reduced variance stochastic approximation
A. Juditsky
A. Kulunchakov
Hlib Tsyntseus
11
7
0
11 Jun 2020
Universal Robust Regression via Maximum Mean Discrepancy
Universal Robust Regression via Maximum Mean Discrepancy
Pierre Alquier
Mathieu Gerber
38
15
0
01 Jun 2020
Robust Lasso-Zero for sparse corruption and model selection with missing
  covariates
Robust Lasso-Zero for sparse corruption and model selection with missing covariates
Pascaline Descloux
Claire Boyer
Julie Josse
Aude Sportisse
S. Sardy
20
4
0
12 May 2020
Robust estimation with Lasso when outputs are adversarially contaminated
Robust estimation with Lasso when outputs are adversarially contaminated
Takeyuki Sasai
Hironori Fujisawa
21
8
0
13 Apr 2020
All-In-One Robust Estimator of the Gaussian Mean
All-In-One Robust Estimator of the Gaussian Mean
A. Dalalyan
A. Minasyan
18
25
0
04 Feb 2020
ERM and RERM are optimal estimators for regression problems when
  malicious outliers corrupt the labels
ERM and RERM are optimal estimators for regression problems when malicious outliers corrupt the labels
Chinot Geoffrey
11
13
0
24 Oct 2019
Robust multivariate mean estimation: the optimality of trimmed mean
Robust multivariate mean estimation: the optimality of trimmed mean
Gabor Lugosi
S. Mendelson
11
123
0
26 Jul 2019
High Dimensional Robust Sparse Regression
High Dimensional Robust Sparse Regression
L. Liu
Yanyao Shen
Tianyang Li
C. Caramanis
4
70
0
29 May 2018
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