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Nuclear norm penalization and optimal rates for noisy low rank matrix
  completion

Nuclear norm penalization and optimal rates for noisy low rank matrix completion

29 November 2010
V. Koltchinskii
Alexandre B. Tsybakov
Karim Lounici
ArXivPDFHTML

Papers citing "Nuclear norm penalization and optimal rates for noisy low rank matrix completion"

50 / 115 papers shown
Title
Fourier Low-rank and Sparse Tensor for Efficient Tensor Completion
Fourier Low-rank and Sparse Tensor for Efficient Tensor Completion
Jingyang Li
Jiuqian Shang
Yang Chen
24
0
0
16 May 2025
Computational Efficient Informative Nonignorable Matrix Completion: A Row- and Column-Wise Matrix U-Statistic Pseudo-Likelihood Approach
Computational Efficient Informative Nonignorable Matrix Completion: A Row- and Column-Wise Matrix U-Statistic Pseudo-Likelihood Approach
Yuanhong A
Guoyu Zhang
Yongcheng Zeng
Bo Zhang
40
0
0
05 Apr 2025
Non-Asymptotic Uncertainty Quantification in High-Dimensional Learning
Non-Asymptotic Uncertainty Quantification in High-Dimensional Learning
Frederik Hoppe
C. M. Verdun
Hannah Laus
Felix Krahmer
Holger Rauhut
UQCV
38
1
0
18 Jul 2024
Mixed Matrix Completion in Complex Survey Sampling under Heterogeneous
  Missingness
Mixed Matrix Completion in Complex Survey Sampling under Heterogeneous Missingness
Xiaojun Mao
Hengfang Wang
Zhonglei Wang
Shu Yang
22
3
0
06 Feb 2024
Misclassification excess risk bounds for 1-bit matrix completion
Misclassification excess risk bounds for 1-bit matrix completion
The Tien Mai
29
0
0
20 Dec 2023
Flat Minima in Linear Estimation and an Extended Gauss Markov Theorem
Flat Minima in Linear Estimation and an Extended Gauss Markov Theorem
Simon Segert
45
0
0
18 Nov 2023
Mode-wise Principal Subspace Pursuit and Matrix Spiked Covariance Model
Mode-wise Principal Subspace Pursuit and Matrix Spiked Covariance Model
Runshi Tang
M. Yuan
Anru R. Zhang
55
3
0
02 Jul 2023
Deflated HeteroPCA: Overcoming the curse of ill-conditioning in
  heteroskedastic PCA
Deflated HeteroPCA: Overcoming the curse of ill-conditioning in heteroskedastic PCA
Yuchen Zhou
Yuxin Chen
48
4
0
10 Mar 2023
Two-sided Matrix Regression
Two-sided Matrix Regression
Nayel Bettache
C. Butucea
38
0
0
08 Mar 2023
Quantized Low-Rank Multivariate Regression with Random Dithering
Quantized Low-Rank Multivariate Regression with Random Dithering
Junren Chen
Yueqi Wang
Michael Kwok-Po Ng
39
5
0
22 Feb 2023
Causal Inference (C-inf) -- asymmetric scenario of typical phase
  transitions
Causal Inference (C-inf) -- asymmetric scenario of typical phase transitions
A. Capponi
M. Stojnic
53
4
0
02 Jan 2023
Causal Inference (C-inf) -- closed form worst case typical phase
  transitions
Causal Inference (C-inf) -- closed form worst case typical phase transitions
A. Capponi
M. Stojnic
29
2
0
02 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
33
14
0
30 Dec 2022
Symphony in the Latent Space: Provably Integrating High-dimensional
  Techniques with Non-linear Machine Learning Models
Symphony in the Latent Space: Provably Integrating High-dimensional Techniques with Non-linear Machine Learning Models
Qiong Wu
Jian Li
Zhenming Liu
Jun Luo
Mihai Cucuringu
36
4
0
01 Dec 2022
A Generalized Latent Factor Model Approach to Mixed-data Matrix
  Completion with Entrywise Consistency
A Generalized Latent Factor Model Approach to Mixed-data Matrix Completion with Entrywise Consistency
Yunxiao Chen
Xiaoou Li
34
0
0
17 Nov 2022
Sparse Bayesian Lasso via a Variable-Coefficient $\ell_1$ Penalty
Sparse Bayesian Lasso via a Variable-Coefficient ℓ1\ell_1ℓ1​ Penalty
Nathan Wycoff
Ali Arab
Katharine M. Donato
Lisa O. Singh
31
3
0
09 Nov 2022
Robust Methods for High-Dimensional Linear Learning
Robust Methods for High-Dimensional Linear Learning
Ibrahim Merad
Stéphane Gaïffas
OOD
57
3
0
10 Aug 2022
Optimal tuning-free convex relaxation for noisy matrix completion
Optimal tuning-free convex relaxation for noisy matrix completion
Yuepeng Yang
Cong Ma
33
8
0
12 Jul 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
31
4
0
15 Jun 2022
Robust Matrix Completion with Heavy-tailed Noise
Robust Matrix Completion with Heavy-tailed Noise
Bingyan Wang
Jianqing Fan
26
4
0
09 Jun 2022
Adaptive Sampling for Discovery
Adaptive Sampling for Discovery
Ziping Xu
Eunjae Shim
Ambuj Tewari
Paul M. Zimmerman
OffRL
22
4
0
30 May 2022
Generalization Error Bounds for Multiclass Sparse Linear Classifiers
Generalization Error Bounds for Multiclass Sparse Linear Classifiers
Tomer Levy
F. Abramovich
32
5
0
13 Apr 2022
Noisy Tensor Completion via Low-rank Tensor Ring
Noisy Tensor Completion via Low-rank Tensor Ring
Yuning Qiu
Guoxu Zhou
Qibin Zhao
Shengli Xie
27
36
0
14 Mar 2022
Tensor Completion for Causal Inference with Multivariate Longitudinal
  Data: A Reevaluation of COVID-19 Mandates
Tensor Completion for Causal Inference with Multivariate Longitudinal Data: A Reevaluation of COVID-19 Mandates
Jonathan Auerbach
M. Slawski
Shixue Zhang
21
0
0
09 Mar 2022
Asymptotics of $\ell_2$ Regularized Network Embeddings
Asymptotics of ℓ2\ell_2ℓ2​ Regularized Network Embeddings
A. Davison
33
0
0
05 Jan 2022
One-Bit Matrix Completion with Differential Privacy
One-Bit Matrix Completion with Differential Privacy
Zhengpin Li
Zheng Wei
Zengfeng Huang
Xiaojun Mao
Jian Wang
32
0
0
02 Oct 2021
Inference for Low-Rank Models
Inference for Low-Rank Models
Victor Chernozhukov
Christian B. Hansen
Yuan Liao
Yinchu Zhu
17
11
0
06 Jul 2021
Matrix Completion with Model-free Weighting
Matrix Completion with Model-free Weighting
Jiayi Wang
R. K. Wong
Xiaojun Mao
Kwun Chuen Gary Chan
34
5
0
09 Jun 2021
Matrix completion with data-dependent missingness probabilities
Matrix completion with data-dependent missingness probabilities
Sohom Bhattacharya
S. Chatterjee
32
18
0
04 Jun 2021
Statistical Inference for Noisy Incomplete Binary Matrix
Statistical Inference for Noisy Incomplete Binary Matrix
Yunxiao Chen
Chengcheng Li
Ouyang Jing
Gongjun Xu
24
7
0
04 May 2021
Generalized Low-rank plus Sparse Tensor Estimation by Fast Riemannian
  Optimization
Generalized Low-rank plus Sparse Tensor Estimation by Fast Riemannian Optimization
Jian-Feng Cai
Jingyang Li
Dong Xia
56
30
0
16 Mar 2021
Spectral Methods for Data Science: A Statistical Perspective
Spectral Methods for Data Science: A Statistical Perspective
Yuxin Chen
Yuejie Chi
Jianqing Fan
Cong Ma
57
166
0
15 Dec 2020
Recursive Importance Sketching for Rank Constrained Least Squares:
  Algorithms and High-order Convergence
Recursive Importance Sketching for Rank Constrained Least Squares: Algorithms and High-order Convergence
Yuetian Luo
Wen Huang
Xudong Li
Anru R. Zhang
23
15
0
17 Nov 2020
Mapping individual differences in cortical architecture using multi-view
  representation learning
Mapping individual differences in cortical architecture using multi-view representation learning
A. Sellami
Franccois-Xavier Dupé
Bastien Cagna
Hachem Kadri
Stéphane Ayache
Thierry Artières
S. Takerkart
24
10
0
01 Apr 2020
Aggregated hold out for sparse linear regression with a robust loss
  function
Aggregated hold out for sparse linear regression with a robust loss function
G. Maillard
FedML
31
1
0
26 Feb 2020
An Optimal Statistical and Computational Framework for Generalized
  Tensor Estimation
An Optimal Statistical and Computational Framework for Generalized Tensor Estimation
Rungang Han
Rebecca Willett
Anru R. Zhang
34
65
0
26 Feb 2020
Bridging Convex and Nonconvex Optimization in Robust PCA: Noise,
  Outliers, and Missing Data
Bridging Convex and Nonconvex Optimization in Robust PCA: Noise, Outliers, and Missing Data
Yuxin Chen
Jianqing Fan
Cong Ma
Yuling Yan
23
52
0
15 Jan 2020
ISLET: Fast and Optimal Low-rank Tensor Regression via Importance
  Sketching
ISLET: Fast and Optimal Low-rank Tensor Regression via Importance Sketching
Anru R. Zhang
Yuetian Luo
Garvesh Raskutti
M. Yuan
43
44
0
09 Nov 2019
Weighted matrix completion from non-random, non-uniform sampling
  patterns
Weighted matrix completion from non-random, non-uniform sampling patterns
S. Foucart
Deanna Needell
Reese Pathak
Y. Plan
Mary Wootters
24
27
0
30 Oct 2019
How well can we learn large factor models without assuming strong
  factors?
How well can we learn large factor models without assuming strong factors?
Yinchu Zhu
OOD
23
0
0
23 Oct 2019
High-dimensional principal component analysis with heterogeneous
  missingness
High-dimensional principal component analysis with heterogeneous missingness
Ziwei Zhu
Tengyao Wang
R. Samworth
50
47
0
28 Jun 2019
Factor Models for High-Dimensional Tensor Time Series
Factor Models for High-Dimensional Tensor Time Series
Rong Chen
Dan Yang
Cun-Hui Zhang
AI4TS
41
90
0
18 May 2019
Robust high dimensional learning for Lipschitz and convex losses
Robust high dimensional learning for Lipschitz and convex losses
Geoffrey Chinot
Guillaume Lecué
M. Lerasle
29
18
0
10 May 2019
On the convex geometry of blind deconvolution and matrix completion
On the convex geometry of blind deconvolution and matrix completion
Felix Krahmer
Dominik Stöger
21
18
0
28 Feb 2019
Noisy Matrix Completion: Understanding Statistical Guarantees for Convex
  Relaxation via Nonconvex Optimization
Noisy Matrix Completion: Understanding Statistical Guarantees for Convex Relaxation via Nonconvex Optimization
Yuxin Chen
Yuejie Chi
Jianqing Fan
Cong Ma
Yuling Yan
22
128
0
20 Feb 2019
Adaptive Quantile Low-Rank Matrix Factorization
Adaptive Quantile Low-Rank Matrix Factorization
Shuang Xu
Chunxia Zhang
Jiangshe Zhang
30
12
0
01 Jan 2019
Matrix Completion under Low-Rank Missing Mechanism
Matrix Completion under Low-Rank Missing Mechanism
Xiaojun Mao
Raymond K. W. Wong
Songxi Chen
27
15
0
19 Dec 2018
Integrative Multi-View Reduced-Rank Regression: Bridging Group-Sparse
  and Low-Rank Models
Integrative Multi-View Reduced-Rank Regression: Bridging Group-Sparse and Low-Rank Models
Gen Li
Xiaokang Liu
Kun Chen
30
6
0
26 Jul 2018
Towards Optimal Estimation of Bivariate Isotonic Matrices with Unknown
  Permutations
Towards Optimal Estimation of Bivariate Isotonic Matrices with Unknown Permutations
Cheng Mao
A. Pananjady
Martin J. Wainwright
23
13
0
25 Jun 2018
Streaming PCA and Subspace Tracking: The Missing Data Case
Streaming PCA and Subspace Tracking: The Missing Data Case
Laura Balzano
Yuejie Chi
Yue M. Lu
13
84
0
12 Jun 2018
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