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Robust multivariate mean estimation: the optimality of trimmed mean

Robust multivariate mean estimation: the optimality of trimmed mean

26 July 2019
Gabor Lugosi
S. Mendelson
ArXivPDFHTML

Papers citing "Robust multivariate mean estimation: the optimality of trimmed mean"

36 / 36 papers shown
Title
Boosting-Enabled Robust System Identification of Partially Observed LTI Systems Under Heavy-Tailed Noise
Boosting-Enabled Robust System Identification of Partially Observed LTI Systems Under Heavy-Tailed Noise
Vinay Kanakeri
Aritra Mitra
29
0
0
25 Apr 2025
Do we really need the Rademacher complexities?
Do we really need the Rademacher complexities?
Daniel Bartl
S. Mendelson
68
0
0
24 Feb 2025
Time-Uniform Confidence Spheres for Means of Random Vectors
Time-Uniform Confidence Spheres for Means of Random Vectors
Ben Chugg
Hongjian Wang
Aaditya Ramdas
51
5
0
14 Nov 2023
Tight Bounds for Local Glivenko-Cantelli
Tight Bounds for Local Glivenko-Cantelli
Moïse Blanchard
Václav Vorácek
37
5
0
03 Aug 2023
Adversarially robust clustering with optimality guarantees
Adversarially robust clustering with optimality guarantees
Soham Jana
Kun Yang
Sanjeev R. Kulkarni
AAML
36
2
0
16 Jun 2023
Robust Sparse Mean Estimation via Incremental Learning
Robust Sparse Mean Estimation via Incremental Learning
Jianhao Ma
Ruidi Chen
Yinghui He
S. Fattahi
Wei Hu
41
0
0
24 May 2023
Covariance Estimation under Missing Observations and $L_4-L_2$ Moment
  Equivalence
Covariance Estimation under Missing Observations and L4−L2L_4-L_2L4​−L2​ Moment Equivalence
Pedro Abdalla
36
1
0
22 May 2023
Huber-Robust Confidence Sequences
Huber-Robust Confidence Sequences
Hongjian Wang
Aaditya Ramdas
34
13
0
23 Jan 2023
Statistically Optimal Robust Mean and Covariance Estimation for
  Anisotropic Gaussians
Statistically Optimal Robust Mean and Covariance Estimation for Anisotropic Gaussians
A. Minasyan
Nikita Zhivotovskiy
36
9
0
21 Jan 2023
Quantizing Heavy-tailed Data in Statistical Estimation: (Near) Minimax
  Rates, Covariate Quantization, and Uniform Recovery
Quantizing Heavy-tailed Data in Statistical Estimation: (Near) Minimax Rates, Covariate Quantization, and Uniform Recovery
Junren Chen
Michael Kwok-Po Ng
Di Wang
MQ
28
13
0
30 Dec 2022
Robustifying Markowitz
Robustifying Markowitz
W. Hardle
Yegor Klochkov
Alla Petukhina
Nikita Zhivotovskiy
19
7
0
28 Dec 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
45
8
0
30 Oct 2022
On the Impossible Safety of Large AI Models
On the Impossible Safety of Large AI Models
El-Mahdi El-Mhamdi
Sadegh Farhadkhani
R. Guerraoui
Nirupam Gupta
L. Hoang
Rafael Pinot
Sébastien Rouault
John Stephan
37
31
0
30 Sep 2022
Improved covariance estimation: optimal robustness and sub-Gaussian
  guarantees under heavy tails
Improved covariance estimation: optimal robustness and sub-Gaussian guarantees under heavy tails
R. I. Oliveira
Zoraida F. Rico
42
10
0
27 Sep 2022
Robust Online and Distributed Mean Estimation Under Adversarial Data
  Corruption
Robust Online and Distributed Mean Estimation Under Adversarial Data Corruption
Tong Yao
S. Sundaram
FedML
33
3
0
17 Sep 2022
Learning from a Biased Sample
Learning from a Biased Sample
Roshni Sahoo
Lihua Lei
Stefan Wager
27
17
0
05 Sep 2022
Outlier Robust and Sparse Estimation of Linear Regression Coefficients
Outlier Robust and Sparse Estimation of Linear Regression Coefficients
Takeyuki Sasai
Hironori Fujisawa
35
4
0
24 Aug 2022
Robust Methods for High-Dimensional Linear Learning
Robust Methods for High-Dimensional Linear Learning
Ibrahim Merad
Stéphane Gaïffas
OOD
55
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
26
4
0
15 Jun 2022
Robust Sparse Mean Estimation via Sum of Squares
Robust Sparse Mean Estimation via Sum of Squares
Ilias Diakonikolas
D. Kane
Sushrut Karmalkar
Ankit Pensia
Thanasis Pittas
30
21
0
07 Jun 2022
Collaborative Linear Bandits with Adversarial Agents: Near-Optimal
  Regret Bounds
Collaborative Linear Bandits with Adversarial Agents: Near-Optimal Regret Bounds
A. Mitra
Arman Adibi
George J. Pappas
Hamed Hassani
44
6
0
06 Jun 2022
Private and Byzantine-Proof Cooperative Decision-Making
Private and Byzantine-Proof Cooperative Decision-Making
Abhimanyu Dubey
Alex Pentland
19
24
0
27 May 2022
Byzantine-Robust Federated Learning with Optimal Statistical Rates and
  Privacy Guarantees
Byzantine-Robust Federated Learning with Optimal Statistical Rates and Privacy Guarantees
Banghua Zhu
Lun Wang
Qi Pang
Shuai Wang
Jiantao Jiao
D. Song
Michael I. Jordan
FedML
98
30
0
24 May 2022
Covariance Estimation: Optimal Dimension-free Guarantees for Adversarial
  Corruption and Heavy Tails
Covariance Estimation: Optimal Dimension-free Guarantees for Adversarial Corruption and Heavy Tails
Pedro Abdalla
Nikita Zhivotovskiy
40
25
0
17 May 2022
Federated Multi-Armed Bandits Under Byzantine Attacks
Federated Multi-Armed Bandits Under Byzantine Attacks
Artun Saday
Ilker Demirel
Yiğit Yıldırım
Cem Tekin
AAML
37
13
0
09 May 2022
Distributed Statistical Min-Max Learning in the Presence of Byzantine
  Agents
Distributed Statistical Min-Max Learning in the Presence of Byzantine Agents
Arman Adibi
A. Mitra
George J. Pappas
Hamed Hassani
32
3
0
07 Apr 2022
A Survey of Learning Criteria Going Beyond the Usual Risk
A Survey of Learning Criteria Going Beyond the Usual Risk
Matthew J. Holland
Kazuki Tanabe
FaML
29
4
0
11 Oct 2021
Do we need to estimate the variance in robust mean estimation?
Do we need to estimate the variance in robust mean estimation?
Qiang Sun
OOD
32
7
0
30 Jun 2021
Non-asymptotic analysis and inference for an outlyingness induced
  winsorized mean
Non-asymptotic analysis and inference for an outlyingness induced winsorized mean
Y. Zuo
27
1
0
05 May 2021
Distribution-Free Robust Linear Regression
Distribution-Free Robust Linear Regression
Jaouad Mourtada
Tomas Vaskevicius
Nikita Zhivotovskiy
OOD
36
23
0
25 Feb 2021
Optimal Mean Estimation without a Variance
Optimal Mean Estimation without a Variance
Yeshwanth Cherapanamjeri
Nilesh Tripuraneni
Peter L. Bartlett
Michael I. Jordan
26
21
0
24 Nov 2020
Multivariate mean estimation with direction-dependent accuracy
Multivariate mean estimation with direction-dependent accuracy
Gabor Lugosi
S. Mendelson
37
12
0
22 Oct 2020
Outlier Robust Mean Estimation with Subgaussian Rates via Stability
Outlier Robust Mean Estimation with Subgaussian Rates via Stability
Ilias Diakonikolas
D. Kane
Ankit Pensia
29
57
0
30 Jul 2020
Generalization Bounds in the Presence of Outliers: a Median-of-Means
  Study
Generalization Bounds in the Presence of Outliers: a Median-of-Means Study
Pierre Laforgue
Guillaume Staerman
Stéphan Clémençon
16
3
0
09 Jun 2020
Robust subgaussian estimation with VC-dimension
Robust subgaussian estimation with VC-dimension
Jules Depersin
27
12
0
24 Apr 2020
All-In-One Robust Estimator of the Gaussian Mean
All-In-One Robust Estimator of the Gaussian Mean
A. Dalalyan
A. Minasyan
35
25
0
04 Feb 2020
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