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First Efficient Convergence for Streaming k-PCA: a Global, Gap-Free, and
  Near-Optimal Rate
v1v2v3v4 (latest)

First Efficient Convergence for Streaming k-PCA: a Global, Gap-Free, and Near-Optimal Rate

26 July 2016
Zeyuan Allen-Zhu
Yuanzhi Li
ArXiv (abs)PDFHTML

Papers citing "First Efficient Convergence for Streaming k-PCA: a Global, Gap-Free, and Near-Optimal Rate"

50 / 56 papers shown
Title
Global Convergence of Adaptive Sensing for Principal Eigenvector Estimation
Global Convergence of Adaptive Sensing for Principal Eigenvector Estimation
Alex Saad-Falcon
Brighton Ancelin
Justin Romberg
51
0
0
16 May 2025
Spectral Guarantees for Adversarial Streaming PCA
Spectral Guarantees for Adversarial Streaming PCA
Eric Price
Zhiyang Xun
87
4
0
19 Aug 2024
Black-Box $k$-to-$1$-PCA Reductions: Theory and Applications
Black-Box kkk-to-111-PCA Reductions: Theory and Applications
A. Jambulapati
Syamantak Kumar
Jerry Li
Shourya Pandey
Ankit Pensia
Kevin Tian
61
3
0
06 Mar 2024
On the Error-Propagation of Inexact Hotelling's Deflation for Principal
  Component Analysis
On the Error-Propagation of Inexact Hotelling's Deflation for Principal Component Analysis
Sorawit Saengkyongam
Junhyung Lyle Kim
Cruz Barnum
Anastasios Kyrillidis
58
0
0
06 Oct 2023
The Effect of SGD Batch Size on Autoencoder Learning: Sparsity,
  Sharpness, and Feature Learning
The Effect of SGD Batch Size on Autoencoder Learning: Sparsity, Sharpness, and Feature Learning
Nikhil Ghosh
Spencer Frei
Wooseok Ha
Ting Yu
MLT
61
3
0
06 Aug 2023
Convergence of Alternating Gradient Descent for Matrix Factorization
Convergence of Alternating Gradient Descent for Matrix Factorization
R. Ward
T. Kolda
84
9
0
11 May 2023
Streaming PCA for Markovian Data
Streaming PCA for Markovian Data
Syamantak Kumar
Purnamrita Sarkar
101
7
0
03 May 2023
Streaming Kernel PCA Algorithm With Small Space
Streaming Kernel PCA Algorithm With Small Space
Yichuan Deng
Zhao Song
Zifan Wang
Hangke Zhang
114
4
0
08 Mar 2023
An online algorithm for contrastive Principal Component Analysis
An online algorithm for contrastive Principal Component Analysis
Siavash Golkar
David Lipshutz
Tiberiu Teşileanu
D. Chklovskii
81
4
0
14 Nov 2022
Stochastic Parallelizable Eigengap Dilation for Large Graph Clustering
Stochastic Parallelizable Eigengap Dilation for Large Graph Clustering
Elise van der Pol
I. Gemp
Yoram Bachrach
Richard Everett
75
0
0
29 Jul 2022
The Symmetric Generalized Eigenvalue Problem as a Nash Equilibrium
The Symmetric Generalized Eigenvalue Problem as a Nash Equilibrium
I. Gemp
Chen Chen
Brian McWilliams
55
0
0
10 Jun 2022
Self-consistent Gradient-like Eigen Decomposition in Solving
  Schrödinger Equations
Self-consistent Gradient-like Eigen Decomposition in Solving Schrödinger Equations
Xihan Li
Xiang Chen
Rasul Tutunov
Haitham Bou-Ammar
Lei Wang
Jun Wang
68
0
0
03 Feb 2022
Nonconvex Stochastic Scaled-Gradient Descent and Generalized Eigenvector
  Problems
Nonconvex Stochastic Scaled-Gradient Descent and Generalized Eigenvector Problems
C. J. Li
Michael I. Jordan
73
2
0
29 Dec 2021
Optimal Gradient-based Algorithms for Non-concave Bandit Optimization
Optimal Gradient-based Algorithms for Non-concave Bandit Optimization
Baihe Huang
Kaixuan Huang
Sham Kakade
Jason D. Lee
Qi Lei
Runzhe Wang
Jiaqi Yang
417
17
0
09 Jul 2021
On the Optimality of the Oja's Algorithm for Online PCA
On the Optimality of the Oja's Algorithm for Online PCA
Xin Liang
53
9
0
31 Mar 2021
EigenGame Unloaded: When playing games is better than optimizing
EigenGame Unloaded: When playing games is better than optimizing
I. Gemp
Brian McWilliams
Claire Vernade
T. Graepel
65
13
0
08 Feb 2021
Streaming k-PCA: Efficient guarantees for Oja's algorithm, beyond
  rank-one updates
Streaming k-PCA: Efficient guarantees for Oja's algorithm, beyond rank-one updates
De Huang
Jonathan Niles-Weed
Rachel A. Ward
50
21
0
06 Feb 2021
Community Preserved Social Graph Publishing with Node Differential
  Privacy
Community Preserved Social Graph Publishing with Node Differential Privacy
Sen Zhang
Weiwei Ni
Nan Fu
95
17
0
05 Jan 2021
Stochastic Approximation for Online Tensorial Independent Component
  Analysis
Stochastic Approximation for Online Tensorial Independent Component Analysis
C. J. Li
Michael I. Jordan
68
2
0
28 Dec 2020
The ELBO of Variational Autoencoders Converges to a Sum of Three
  Entropies
The ELBO of Variational Autoencoders Converges to a Sum of Three Entropies
Simon Damm
D. Forster
Dmytro Velychko
Zhenwen Dai
Asja Fischer
Jörg Lücke
DRL
69
5
0
28 Oct 2020
EigenGame: PCA as a Nash Equilibrium
EigenGame: PCA as a Nash Equilibrium
I. Gemp
Brian McWilliams
Claire Vernade
T. Graepel
114
48
0
01 Oct 2020
Communication-efficient distributed eigenspace estimation
Communication-efficient distributed eigenspace estimation
Vasileios Charisopoulos
Austin R. Benson
Anil Damle
47
10
0
05 Sep 2020
A General Framework for Analyzing Stochastic Dynamics in Learning
  Algorithms
A General Framework for Analyzing Stochastic Dynamics in Learning Algorithms
Chi-Ning Chou
Juspreet Singh Sandhu
Mien Brabeeba Wang
Tiancheng Yu
60
4
0
11 Jun 2020
Scaling-up Distributed Processing of Data Streams for Machine Learning
Scaling-up Distributed Processing of Data Streams for Machine Learning
M. Nokleby
Haroon Raja
W. Bajwa
69
15
0
18 May 2020
Memory-efficient training with streaming dimensionality reduction
Memory-efficient training with streaming dimensionality reduction
Siyuan Huang
Brian D. Hoskins
M. Daniels
M. D. Stiles
G. Adam
29
3
0
25 Apr 2020
Spectral Learning on Matrices and Tensors
Spectral Learning on Matrices and Tensors
Majid Janzamin
Rong Ge
Jean Kossaifi
Anima Anandkumar
85
41
0
16 Apr 2020
Distributed Stochastic Algorithms for High-rate Streaming Principal
  Component Analysis
Distributed Stochastic Algorithms for High-rate Streaming Principal Component Analysis
Haroon Raja
W. Bajwa
74
11
0
04 Jan 2020
ROIPCA: An online memory-restricted PCA algorithm based on rank-one
  updates
ROIPCA: An online memory-restricted PCA algorithm based on rank-one updates
Roy Mitz
Y. Shkolnisky
33
0
0
25 Nov 2019
ODE-Inspired Analysis for the Biological Version of Oja's Rule in
  Solving Streaming PCA
ODE-Inspired Analysis for the Biological Version of Oja's Rule in Solving Streaming PCA
Chi-Ning Chou
Mien Brabeeba Wang
71
8
0
04 Nov 2019
On-Device Machine Learning: An Algorithms and Learning Theory
  Perspective
On-Device Machine Learning: An Algorithms and Learning Theory Perspective
Sauptik Dhar
Junyao Guo
Jiayi Liu
S. Tripathi
Unmesh Kurup
Mohak Shah
127
144
0
02 Nov 2019
An Implicit Form of Krasulina's k-PCA Update without the Orthonormality
  Constraint
An Implicit Form of Krasulina's k-PCA Update without the Orthonormality Constraint
Ehsan Amid
Manfred K. Warmuth
82
11
0
11 Sep 2019
AdaOja: Adaptive Learning Rates for Streaming PCA
AdaOja: Adaptive Learning Rates for Streaming PCA
Amelia Henriksen
Rachel A. Ward
70
23
0
28 May 2019
Exponentially convergent stochastic k-PCA without variance reduction
Exponentially convergent stochastic k-PCA without variance reduction
Cheng Tang
100
28
0
03 Apr 2019
Streaming Batch Eigenupdates for Hardware Neuromorphic Networks
Streaming Batch Eigenupdates for Hardware Neuromorphic Networks
Brian D. Hoskins
M. Daniels
Siyuan Huang
A. Madhavan
G. Adam
N. Zhitenev
Jabez J. McClelland
M. D. Stiles
49
14
0
05 Mar 2019
Robust Streaming PCA
Robust Streaming PCA
D. Bienstock
Minchan Jeong
Apurv Shukla
Se-Young Yun
48
3
0
08 Feb 2019
Gen-Oja: A Two-time-scale approach for Streaming CCA
Gen-Oja: A Two-time-scale approach for Streaming CCA
Kush S. Bhatia
Aldo Pacchiano
Nicolas Flammarion
Peter L. Bartlett
Michael I. Jordan
61
2
0
20 Nov 2018
On the Regret Minimization of Nonconvex Online Gradient Ascent for
  Online PCA
On the Regret Minimization of Nonconvex Online Gradient Ascent for Online PCA
Dan Garber
ODL
62
9
0
27 Sep 2018
Streaming Kernel PCA with $\tilde{O}(\sqrt{n})$ Random Features
Streaming Kernel PCA with O~(n)\tilde{O}(\sqrt{n})O~(n​) Random Features
Enayat Ullah
Poorya Mianjy
T. V. Marinov
R. Arora
129
22
0
02 Aug 2018
On the Randomized Complexity of Minimizing a Convex Quadratic Function
On the Randomized Complexity of Minimizing a Convex Quadratic Function
Max Simchowitz
97
12
0
24 Jul 2018
An Acceleration Scheme for Memory Limited, Streaming PCA
An Acceleration Scheme for Memory Limited, Streaming PCA
Salaheddin Alakkari
J. Dingliana
33
2
0
17 Jul 2018
SPIDER: Near-Optimal Non-Convex Optimization via Stochastic Path
  Integrated Differential Estimator
SPIDER: Near-Optimal Non-Convex Optimization via Stochastic Path Integrated Differential Estimator
Cong Fang
C. J. Li
Zhouchen Lin
Tong Zhang
133
580
0
04 Jul 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
73
87
0
12 Jun 2018
Subspace Estimation from Incomplete Observations: A High-Dimensional
  Analysis
Subspace Estimation from Incomplete Observations: A High-Dimensional Analysis
Chuang Wang
Yonina C. Eldar
Yue M. Lu
73
17
0
17 May 2018
Eigenvector Computation and Community Detection in Asynchronous Gossip
  Models
Eigenvector Computation and Community Detection in Asynchronous Gossip Models
Frederik Mallmann-Trenn
Cameron Musco
Christopher Musco
59
9
0
23 Apr 2018
Tight Query Complexity Lower Bounds for PCA via Finite Sample Deformed
  Wigner Law
Tight Query Complexity Lower Bounds for PCA via Finite Sample Deformed Wigner Law
Max Simchowitz
A. Alaoui
Benjamin Recht
100
39
0
04 Apr 2018
Dimensionality Reduction for Stationary Time Series via Stochastic
  Nonconvex Optimization
Dimensionality Reduction for Stationary Time Series via Stochastic Nonconvex Optimization
Minshuo Chen
Ling Yang
Mengdi Wang
T. Zhao
34
10
0
06 Mar 2018
Averaging Stochastic Gradient Descent on Riemannian Manifolds
Averaging Stochastic Gradient Descent on Riemannian Manifolds
Nilesh Tripuraneni
Nicolas Flammarion
Francis R. Bach
Michael I. Jordan
73
100
0
26 Feb 2018
History PCA: A New Algorithm for Streaming PCA
History PCA: A New Algorithm for Streaming PCA
Puyudi Yang
Cho-Jui Hsieh
Jane-ling Wang
AI4TS
56
24
0
15 Feb 2018
Katyusha X: Practical Momentum Method for Stochastic Sum-of-Nonconvex
  Optimization
Katyusha X: Practical Momentum Method for Stochastic Sum-of-Nonconvex Optimization
Zeyuan Allen-Zhu
ODL
105
52
0
12 Feb 2018
Differentially Private Matrix Completion Revisited
Differentially Private Matrix Completion Revisited
Prateek Jain
Om Thakkar
Abhradeep Thakurta
FedML
59
34
0
28 Dec 2017
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