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A Shrinkage Principle for Heavy-Tailed Data: High-Dimensional Robust
  Low-Rank Matrix Recovery
v1v2 (latest)

A Shrinkage Principle for Heavy-Tailed Data: High-Dimensional Robust Low-Rank Matrix Recovery

28 March 2016
Jianqing Fan
Weichen Wang
Ziwei Zhu
ArXiv (abs)PDFHTML

Papers citing "A Shrinkage Principle for Heavy-Tailed Data: High-Dimensional Robust Low-Rank Matrix Recovery"

43 / 43 papers shown
Title
Robust Inference for High-dimensional Linear Models with Heavy-tailed
  Errors via Partial Gini Covariance
Robust Inference for High-dimensional Linear Models with Heavy-tailed Errors via Partial Gini Covariance
Yilin Zhang
Songshan Yang
Y. Wu
Lan Wang
398
0
0
19 Nov 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 OutliersElectronic Journal of Statistics (EJS), 2024
Takeyuki Sasai
Hironori Fujisawa
328
0
0
02 Aug 2024
Sub-Gaussian High-Dimensional Covariance Matrix Estimation under
  Elliptical Factor Model with 2 + εth Moment
Sub-Gaussian High-Dimensional Covariance Matrix Estimation under Elliptical Factor Model with 2 + εth Moment
Yi Ding
Xinghua Zheng
245
0
0
26 Jun 2024
Low-rank Matrix Bandits with Heavy-tailed Rewards
Low-rank Matrix Bandits with Heavy-tailed Rewards
Yue Kang
Cho-Jui Hsieh
T. C. Lee
150
4
0
26 Apr 2024
High-Dimensional Tail Index Regression: with An Application to Text
  Analyses of Viral Posts in Social Media
High-Dimensional Tail Index Regression: with An Application to Text Analyses of Viral Posts in Social Media
Yuya Sasaki
Jing Tao
Yulong Wang
212
0
0
02 Mar 2024
Improved Analysis of Sparse Linear Regression in Local Differential
  Privacy Model
Improved Analysis of Sparse Linear Regression in Local Differential Privacy ModelInternational Conference on Learning Representations (ICLR), 2023
Liyang Zhu
Meng Ding
Vaneet Aggarwal
Jinhui Xu
Haiyan Zhao
157
5
0
11 Oct 2023
Perceptual adjustment queries and an inverted measurement paradigm for
  low-rank metric learning
Perceptual adjustment queries and an inverted measurement paradigm for low-rank metric learningNeural Information Processing Systems (NeurIPS), 2023
Austin Xu
Andrew D. McRae
Jingyan Wang
Mark A. Davenport
A. Pananjady
153
3
0
08 Sep 2023
Two Results on Low-Rank Heavy-Tailed Multiresponse Regressions
Two Results on Low-Rank Heavy-Tailed Multiresponse Regressions
Kangqiang Li
Yuxuan Wang
189
1
0
23 May 2023
Computationally Efficient and Statistically Optimal Robust
  High-Dimensional Linear Regression
Computationally Efficient and Statistically Optimal Robust High-Dimensional Linear Regression
Yinan Shen
Jingyang Li
Jian-Feng Cai
Dong Xia
221
2
0
10 May 2023
Estimation of sparse linear regression coefficients under
  $L$-subexponential covariates
Estimation of sparse linear regression coefficients under LLL-subexponential covariates
Takeyuki Sasai
214
0
0
24 Apr 2023
Quantized Low-Rank Multivariate Regression with Random Dithering
Quantized Low-Rank Multivariate Regression with Random DitheringIEEE Transactions on Signal Processing (IEEE TSP), 2023
Junren Chen
Yueqi Wang
Michael Kwok-Po Ng
288
7
0
22 Feb 2023
Challenges of cellwise outliers
Challenges of cellwise outliersEconometrics and Statistics (ES), 2023
Jakob Raymaekers
P. Rousseeuw
202
15
0
04 Feb 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 RecoveryIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2022
Junren Chen
Michael Kwok-Po Ng
Haiyan Zhao
MQ
223
18
0
30 Dec 2022
Mining the Factor Zoo: Estimation of Latent Factor Models with
  Sufficient Proxies
Mining the Factor Zoo: Estimation of Latent Factor Models with Sufficient ProxiesJournal of Econometrics (JE), 2022
Runzhe Wan
Yingying Li
Wenbin Lu
Rui Song
211
4
0
25 Dec 2022
Residual Permutation Test for High-Dimensional Regression Coefficient
  Testing
Residual Permutation Test for High-Dimensional Regression Coefficient TestingAnnals of Statistics (Ann. Stat.), 2022
Kaiyue Wen
Tengyao Wang
Yuhao Wang
181
2
0
29 Nov 2022
Robust High-dimensional Tuning Free Multiple Testing
Robust High-dimensional Tuning Free Multiple TestingAnnals of Statistics (Ann. Stat.), 2022
Jianqing Fan
Zhipeng Lou
Mengxin Yu
212
1
0
22 Nov 2022
Truthful Generalized Linear Models
Truthful Generalized Linear ModelsWorkshop on Internet and Network Economics (WINE), 2022
Yuan Qiu
Jinyan Liu
Haiyan Zhao
FedML
237
3
0
16 Sep 2022
Outlier Robust and Sparse Estimation of Linear Regression Coefficients
Outlier Robust and Sparse Estimation of Linear Regression Coefficients
Takeyuki Sasai
Hironori Fujisawa
385
5
0
24 Aug 2022
Robust Methods for High-Dimensional Linear Learning
Robust Methods for High-Dimensional Linear LearningJournal of machine learning research (JMLR), 2022
Ibrahim Merad
Stéphane Gaïffas
OOD
375
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
394
4
0
15 Jun 2022
Robust Matrix Completion with Heavy-tailed Noise
Robust Matrix Completion with Heavy-tailed NoiseJournal of the American Statistical Association (JASA), 2022
Bingyan Wang
Jianqing Fan
169
13
0
09 Jun 2022
Error Bound of Empirical $\ell_2$ Risk Minimization for Noisy Standard
  and Generalized Phase Retrieval Problems
Error Bound of Empirical ℓ2\ell_2ℓ2​ Risk Minimization for Noisy Standard and Generalized Phase Retrieval Problems
Junren Chen
Michael Kwok-Po Ng
280
8
0
27 May 2022
Robust Regularized Low-Rank Matrix Models for Regression and
  Classification
Robust Regularized Low-Rank Matrix Models for Regression and Classification
Hsin-Hsiung Huang
Feng Yu
Xing Fan
Teng Zhang
171
1
0
14 May 2022
How do noise tails impact on deep ReLU networks?
How do noise tails impact on deep ReLU networks?Annals of Statistics (Ann. Stat.), 2022
Jianqing Fan
Yihong Gu
Wen-Xin Zhou
ODL
321
21
0
20 Mar 2022
High Dimensional Statistical Estimation under Uniformly Dithered One-bit
  Quantization
High Dimensional Statistical Estimation under Uniformly Dithered One-bit QuantizationIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2022
Junren Chen
Cheng-Long Wang
Michael Kwok-Po Ng
Haiyan Zhao
MQ
356
23
0
26 Feb 2022
Robust parameter estimation of regression model under weakened moment
  assumptions
Robust parameter estimation of regression model under weakened moment assumptions
Kangqiang Li
Songqiao Tang
Lixin Zhang
317
0
0
08 Dec 2021
Rank-Constrained Least-Squares: Prediction and Inference
Rank-Constrained Least-Squares: Prediction and Inference
Michael Law
Yaácov Ritov
Ruixiang Zhang
Ziwei Zhu
295
1
0
29 Nov 2021
High Dimensional Differentially Private Stochastic Optimization with
  Heavy-tailed Data
High Dimensional Differentially Private Stochastic Optimization with Heavy-tailed DataACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems (PODS), 2021
Lijie Hu
Shuo Ni
Hanshen Xiao
Haiyan Zhao
282
57
0
23 Jul 2021
Generalized Low-rank plus Sparse Tensor Estimation by Fast Riemannian
  Optimization
Generalized Low-rank plus Sparse Tensor Estimation by Fast Riemannian OptimizationJournal of the American Statistical Association (JASA), 2021
Jian-Feng Cai
Jingyang Li
Dong Xia
509
33
0
16 Mar 2021
Adaptive Robust Large Volatility Matrix Estimation Based on
  High-Frequency Financial Data
Adaptive Robust Large Volatility Matrix Estimation Based on High-Frequency Financial DataSocial Science Research Network (SSRN), 2021
Minseok Shin
Donggyu Kim
Jianqing Fan
233
22
0
25 Feb 2021
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
463
0
0
25 Oct 2020
Robust covariance estimation for distributed principal component
  analysis
Robust covariance estimation for distributed principal component analysis
Kangqiang Li
Han Bao
Lixin Zhang
338
6
0
14 Oct 2020
Understanding Implicit Regularization in Over-Parameterized Single Index
  Model
Understanding Implicit Regularization in Over-Parameterized Single Index ModelJournal of the American Statistical Association (JASA), 2020
Jianqing Fan
Zhuoran Yang
Mengxin Yu
257
22
0
16 Jul 2020
Robust Structured Statistical Estimation via Conditional Gradient Type
  Methods
Robust Structured Statistical Estimation via Conditional Gradient Type Methods
Jiacheng Zhuo
Liu Liu
Constantine Caramanis
136
1
0
07 Jul 2020
Covariance Estimation for Matrix-valued Data
Covariance Estimation for Matrix-valued DataJournal of the American Statistical Association (JASA), 2020
Yichi Zhang
Weining Shen
Dehan Kong
153
15
0
11 Apr 2020
II. High Dimensional Estimation under Weak Moment Assumptions:
  Structured Recovery and Matrix Estimation
II. High Dimensional Estimation under Weak Moment Assumptions: Structured Recovery and Matrix Estimation
Xiaohan Wei
222
0
0
05 Mar 2020
ISLET: Fast and Optimal Low-rank Tensor Regression via Importance
  Sketching
ISLET: Fast and Optimal Low-rank Tensor Regression via Importance SketchingSIAM Journal on Mathematics of Data Science (SIMODS), 2019
Anru R. Zhang
Yuetian Luo
Garvesh Raskutti
M. Yuan
456
49
0
09 Nov 2019
High-dimensional robust approximated M-estimators for mean regression
  with asymmetric data
High-dimensional robust approximated M-estimators for mean regression with asymmetric dataJournal of Multivariate Analysis (JMA), 2019
Bin Luo
Xiaoli Gao
92
3
0
21 Oct 2019
Optimal estimation of functionals of high-dimensional mean and
  covariance matrix
Optimal estimation of functionals of high-dimensional mean and covariance matrix
Jianqing Fan
Haolei Weng
Yifeng Zhou
224
7
0
20 Aug 2019
Adaptive Huber Regression on Markov-dependent Data
Adaptive Huber Regression on Markov-dependent Data
Jianqing Fan
Yongyi Guo
Bai Jiang
136
14
0
18 Apr 2019
Robust high dimensional factor models with applications to statistical
  machine learning
Robust high dimensional factor models with applications to statistical machine learning
Jianqing Fan
Kaizheng Wang
Yiqiao Zhong
Ziwei Zhu
200
61
0
12 Aug 2018
Robust Estimation via Robust Gradient Estimation
Robust Estimation via Robust Gradient Estimation
Adarsh Prasad
A. Suggala
Sivaraman Balakrishnan
Pradeep Ravikumar
276
225
0
19 Feb 2018
Adaptive Huber Regression
Adaptive Huber Regression
Qiang Sun
Wen-Xin Zhou
Jianqing Fan
292
312
0
21 Jun 2017
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