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Singular vectors under random perturbation

Singular vectors under random perturbation

12 April 2010
V. Vu
ArXiv (abs)PDFHTML

Papers citing "Singular vectors under random perturbation"

26 / 26 papers shown
Matrix perturbation bounds via contour bootstrapping
Matrix perturbation bounds via contour bootstrapping
Phuc Tran
Van Vu
279
0
0
07 Jul 2024
A Universal Metric of Dataset Similarity for Cross-silo Federated Learning
A Universal Metric of Dataset Similarity for Cross-silo Federated Learning
Ahmed Elhussein
Gamze Gürsoy
FedMLOOD
370
4
0
29 Apr 2024
Uniform error bound for PCA matrix denoising
Uniform error bound for PCA matrix denoisingBernoulli (Bernoulli), 2023
Xin T. Tong
Wanjie Wang
Yuguan Wang
274
7
0
22 Jun 2023
Learning Meta Word Embeddings by Unsupervised Weighted Concatenation of
  Source Embeddings
Learning Meta Word Embeddings by Unsupervised Weighted Concatenation of Source EmbeddingsInternational Joint Conference on Artificial Intelligence (IJCAI), 2022
Danushka Bollegala
SSL
264
8
0
26 Apr 2022
Multivariate Analysis for Multiple Network Data via Semi-Symmetric
  Tensor PCA
Multivariate Analysis for Multiple Network Data via Semi-Symmetric Tensor PCA
Michael Weylandt
George Michailidis
359
1
0
09 Feb 2022
Power Iteration for Tensor PCA
Power Iteration for Tensor PCAJournal of machine learning research (JMLR), 2020
Jiaoyang Huang
Daniel Zhengyu Huang
Qing Yang
Guang Cheng
298
21
0
26 Dec 2020
A Sharp Blockwise Tensor Perturbation Bound for Orthogonal Iteration
A Sharp Blockwise Tensor Perturbation Bound for Orthogonal Iteration
Yuetian Luo
Garvesh Raskutti
M. Yuan
Anru R. Zhang
367
14
0
06 Aug 2020
Learning with Semi-Definite Programming: new statistical bounds based on
  fixed point analysis and excess risk curvature
Learning with Semi-Definite Programming: new statistical bounds based on fixed point analysis and excess risk curvatureJournal of machine learning research (JMLR), 2020
Stéphane Chrétien
Mihai Cucuringu
Guillaume Lecué
Lucie Neirac
237
5
0
04 Apr 2020
On the perturbation series for eigenvalues and eigenprojections
On the perturbation series for eigenvalues and eigenprojections
Martin Wahl
201
11
0
18 Oct 2019
Subspace Estimation from Unbalanced and Incomplete Data Matrices:
  $\ell_{2,\infty}$ Statistical Guarantees
Subspace Estimation from Unbalanced and Incomplete Data Matrices: ℓ2,∞\ell_{2,\infty}ℓ2,∞​ Statistical Guarantees
Changxiao Cai
Gen Li
Yuejie Chi
H. Vincent Poor
Yuxin Chen
498
13
0
09 Oct 2019
Achieving the Bayes Error Rate in Synchronization and Block Models by
  SDP, Robustly
Achieving the Bayes Error Rate in Synchronization and Block Models by SDP, Robustly
Yingjie Fei
Yudong Chen
434
24
0
21 Apr 2019
On the Dimensionality of Word Embedding
On the Dimensionality of Word Embedding
Zi Yin
Yuanyuan Shen
221
214
0
11 Dec 2018
Asymmetry Helps: Eigenvalue and Eigenvector Analyses of Asymmetrically
  Perturbed Low-Rank Matrices
Asymmetry Helps: Eigenvalue and Eigenvector Analyses of Asymmetrically Perturbed Low-Rank Matrices
Yuxin Chen
Chen Cheng
Jianqing Fan
446
42
0
30 Nov 2018
Matrices with Gaussian noise: optimal estimates for singular subspace
  perturbation
Matrices with Gaussian noise: optimal estimates for singular subspace perturbationIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2018
Sean O’Rourke
Van Vu
Ke Wang
414
13
0
02 Mar 2018
Understand Functionality and Dimensionality of Vector Embeddings: the
  Distributional Hypothesis, the Pairwise Inner Product Loss and Its
  Bias-Variance Trade-off
Understand Functionality and Dimensionality of Vector Embeddings: the Distributional Hypothesis, the Pairwise Inner Product Loss and Its Bias-Variance Trade-off
Zi Yin
270
8
0
01 Mar 2018
Recovery of simultaneous low rank and two-way sparse coefficient
  matrices, a nonconvex approach
Recovery of simultaneous low rank and two-way sparse coefficient matrices, a nonconvex approach
Ming Yu
Varun Gupta
Mladen Kolar
317
24
0
20 Feb 2018
Unperturbed: spectral analysis beyond Davis-Kahan
Unperturbed: spectral analysis beyond Davis-Kahan
Justin Eldridge
M. Belkin
Yusu Wang
230
102
0
20 Jun 2017
A Non-generative Framework and Convex Relaxations for Unsupervised
  Learning
A Non-generative Framework and Convex Relaxations for Unsupervised LearningNeural Information Processing Systems (NeurIPS), 2016
Elad Hazan
Tengyu Ma
333
18
0
04 Oct 2016
A Semi-Definite Programming approach to low dimensional embedding for
  unsupervised clustering
A Semi-Definite Programming approach to low dimensional embedding for unsupervised clustering
Stéphane Chrétien
Clément Dombry
A. Faivre
234
10
0
29 Jun 2016
Rate-Optimal Perturbation Bounds for Singular Subspaces with
  Applications to High-Dimensional Statistics
Rate-Optimal Perturbation Bounds for Singular Subspaces with Applications to High-Dimensional Statistics
T. Tony Cai
Anru R. Zhang
422
176
0
02 May 2016
Recovering Structured Probability Matrices
Recovering Structured Probability Matrices
Qingqing Huang
Sham Kakade
Weihao Kong
Gregory Valiant
648
12
0
21 Feb 2016
Community detection in sparse networks via Grothendieck's inequality
Community detection in sparse networks via Grothendieck's inequalityProbability theory and related fields (PTRF), 2014
O. Guédon
Roman Vershynin
505
215
0
17 Nov 2014
Random perturbation of low rank matrices: Improving classical bounds
Random perturbation of low rank matrices: Improving classical bounds
Sean O’Rourke
V. Vu
Ke Wang
784
115
0
12 Nov 2013
Singular Vector Perturbation under Gaussian Noise
Singular Vector Perturbation under Gaussian NoiseSIAM Journal on Matrix Analysis and Applications (SIMAX), 2012
Rongrong Wang
270
34
0
09 Aug 2012
Tangent space estimation for smooth embeddings of Riemannian manifolds
Tangent space estimation for smooth embeddings of Riemannian manifolds
Hemant Tyagi
Elif Vural
P. Frossard
257
65
0
05 Aug 2012
Spectral clustering and the high-dimensional stochastic blockmodel
Spectral clustering and the high-dimensional stochastic blockmodel
Karl Rohe
S. Chatterjee
Bin Yu
747
984
0
09 Jul 2010
1
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