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Algorithmic thresholds for tensor PCA
v1v2 (latest)

Algorithmic thresholds for tensor PCA

2 August 2018
Gerard Ben Arous
Reza Gheissari
Aukosh Jagannath
ArXiv (abs)PDFHTML

Papers citing "Algorithmic thresholds for tensor PCA"

41 / 41 papers shown
Statistical Limits in Random Tensors with Multiple Correlated Spikes
Statistical Limits in Random Tensors with Multiple Correlated Spikes
Yang Qi
Alexis Decurninge
263
0
0
05 Mar 2025
Provable Benefits of Unsupervised Pre-training and Transfer Learning via Single-Index Models
Provable Benefits of Unsupervised Pre-training and Transfer Learning via Single-Index Models
Taj Jones-McCormick
Aukosh Jagannath
S. Sen
486
2
0
24 Feb 2025
A Random Matrix Approach to Low-Multilinear-Rank Tensor Approximation
A Random Matrix Approach to Low-Multilinear-Rank Tensor Approximation
Hugo Lebeau
Florent Chatelain
Romain Couillet
482
4
0
05 Feb 2024
Sharp Analysis of Power Iteration for Tensor PCA
Sharp Analysis of Power Iteration for Tensor PCAJournal of machine learning research (JMLR), 2024
Yuchen Wu
Kangjie Zhou
486
5
0
02 Jan 2024
Learning from higher-order statistics, efficiently: hypothesis tests,
  random features, and neural networks
Learning from higher-order statistics, efficiently: hypothesis tests, random features, and neural networks
Eszter Székely
Lorenzo Bardone
Federica Gerace
Sebastian Goldt
420
3
0
22 Dec 2023
Topological complexity of spiked random polynomials and finite-rank
  spherical integrals
Topological complexity of spiked random polynomials and finite-rank spherical integrals
Vanessa Piccolo
173
2
0
19 Dec 2023
Sharp Thresholds Imply Circuit Lower Bounds: from random 2-SAT to
  Planted Clique
Sharp Thresholds Imply Circuit Lower Bounds: from random 2-SAT to Planted Clique
D. Gamarnik
Elchanan Mossel
Ilias Zadik
361
2
0
07 Nov 2023
Stochastic Gradient Descent outperforms Gradient Descent in recovering a
  high-dimensional signal in a glassy energy landscape
Stochastic Gradient Descent outperforms Gradient Descent in recovering a high-dimensional signal in a glassy energy landscape
Persia Jana Kamali
Pierfrancesco Urbani
417
7
0
09 Sep 2023
Average-Case Complexity of Tensor Decomposition for Low-Degree
  Polynomials
Average-Case Complexity of Tensor Decomposition for Low-Degree PolynomialsSymposium on the Theory of Computing (STOC), 2022
Alexander S. Wein
311
14
0
10 Nov 2022
On free energy barriers in Gaussian priors and failure of cold start
  MCMC for high-dimensional unimodal distributions
On free energy barriers in Gaussian priors and failure of cold start MCMC for high-dimensional unimodal distributions
Afonso S. Bandeira
Antoine Maillard
Richard Nickl
Sven Wang
355
18
0
05 Sep 2022
High-dimensional limit theorems for SGD: Effective dynamics and critical
  scaling
High-dimensional limit theorems for SGD: Effective dynamics and critical scalingNeural Information Processing Systems (NeurIPS), 2022
Gerard Ben Arous
Reza Gheissari
Aukosh Jagannath
591
75
0
08 Jun 2022
The Franz-Parisi Criterion and Computational Trade-offs in High
  Dimensional Statistics
The Franz-Parisi Criterion and Computational Trade-offs in High Dimensional StatisticsNeural Information Processing Systems (NeurIPS), 2022
Afonso S. Bandeira
A. Alaoui
Samuel B. Hopkins
T. Schramm
Alexander S. Wein
Ilias Zadik
281
45
0
19 May 2022
High-dimensional Asymptotics of Langevin Dynamics in Spiked Matrix
  Models
High-dimensional Asymptotics of Langevin Dynamics in Spiked Matrix ModelsInformation and Inference A Journal of the IMA (JIII), 2022
Tengyuan Liang
Subhabrata Sen
Pragya Sur
208
9
0
09 Apr 2022
Random Geometric Graph: Some recent developments and perspectives
Random Geometric Graph: Some recent developments and perspectives
Quentin Duchemin
Yohann De Castro
307
29
0
29 Mar 2022
Phase diagram of Stochastic Gradient Descent in high-dimensional
  two-layer neural networks
Phase diagram of Stochastic Gradient Descent in high-dimensional two-layer neural networksNeural Information Processing Systems (NeurIPS), 2022
R. Veiga
Ludovic Stephan
Bruno Loureiro
Florent Krzakala
Lenka Zdeborová
MLT
444
50
0
01 Feb 2022
Selective Multiple Power Iteration: from Tensor PCA to gradient-based
  exploration of landscapes
Selective Multiple Power Iteration: from Tensor PCA to gradient-based exploration of landscapesThe European Physical Journal Special Topics (EPJ ST), 2021
M. Ouerfelli
M. Tamaazousti
V. Rivasseau
239
7
0
23 Dec 2021
Lattice-Based Methods Surpass Sum-of-Squares in Clustering
Lattice-Based Methods Surpass Sum-of-Squares in Clustering
Ilias Zadik
M. Song
Alexander S. Wein
Joan Bruna
403
42
0
07 Dec 2021
Long Random Matrices and Tensor Unfolding
Long Random Matrices and Tensor Unfolding
Gerard Ben Arous
Daniel Zhengyu Huang
Jiaoyang Huang
350
18
0
19 Oct 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
634
35
0
16 Mar 2021
Algorithmic Obstructions in the Random Number Partitioning Problem
Algorithmic Obstructions in the Random Number Partitioning ProblemThe Annals of Applied Probability (Ann. Appl. Probab.), 2021
D. Gamarnik
Eren C. Kizildaug
298
25
0
02 Mar 2021
On maximum-likelihood estimation in the all-or-nothing regime
On maximum-likelihood estimation in the all-or-nothing regimeInternational Symposium on Information Theory (ISIT), 2021
Luca Corinzia
Paolo Penna
Wojtek Szpankowski
J. M. Buhmann
209
1
0
25 Jan 2021
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
295
21
0
26 Dec 2020
Statistical and computational thresholds for the planted $k$-densest
  sub-hypergraph problem
Statistical and computational thresholds for the planted kkk-densest sub-hypergraph problemInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2020
Luca Corinzia
Paolo Penna
Wojtek Szpankowski
J. M. Buhmann
408
9
0
23 Nov 2020
Group testing and local search: is there a computational-statistical
  gap?
Group testing and local search: is there a computational-statistical gap?
Fotis Iliopoulos
Ilias Zadik
292
6
0
10 Nov 2020
Optimal Low-Degree Hardness of Maximum Independent Set
Optimal Low-Degree Hardness of Maximum Independent Set
Alexander S. Wein
388
69
0
13 Oct 2020
Statistical Query Algorithms and Low-Degree Tests Are Almost Equivalent
Statistical Query Algorithms and Low-Degree Tests Are Almost EquivalentAnnual Conference Computational Learning Theory (COLT), 2020
Matthew Brennan
Guy Bresler
Samuel B. Hopkins
Haibin Zhang
T. Schramm
474
66
0
13 Sep 2020
Computational Barriers to Estimation from Low-Degree Polynomials
Computational Barriers to Estimation from Low-Degree Polynomials
T. Schramm
Alexander S. Wein
383
83
0
05 Aug 2020
Free Energy Wells and Overlap Gap Property in Sparse PCA
Free Energy Wells and Overlap Gap Property in Sparse PCA
Gerard Ben Arous
Alexander S. Wein
Ilias Zadik
271
34
0
18 Jun 2020
Reducibility and Statistical-Computational Gaps from Secret Leakage
Reducibility and Statistical-Computational Gaps from Secret Leakage
Matthew Brennan
Guy Bresler
390
101
0
16 May 2020
Hardness of Random Optimization Problems for Boolean Circuits,
  Low-Degree Polynomials, and Langevin Dynamics
Hardness of Random Optimization Problems for Boolean Circuits, Low-Degree Polynomials, and Langevin Dynamics
D. Gamarnik
Aukosh Jagannath
Alexander S. Wein
325
21
0
25 Apr 2020
Online stochastic gradient descent on non-convex losses from
  high-dimensional inference
Online stochastic gradient descent on non-convex losses from high-dimensional inferenceJournal of machine learning research (JMLR), 2020
Gerard Ben Arous
Reza Gheissari
Aukosh Jagannath
491
125
0
23 Mar 2020
The Overlap Gap Property in Principal Submatrix Recovery
The Overlap Gap Property in Principal Submatrix RecoveryProbability theory and related fields (PTRF), 2019
D. Gamarnik
Aukosh Jagannath
S. Sen
261
30
0
26 Aug 2019
Average-Case Lower Bounds for Learning Sparse Mixtures, Robust
  Estimation and Semirandom Adversaries
Average-Case Lower Bounds for Learning Sparse Mixtures, Robust Estimation and Semirandom Adversaries
Matthew Brennan
Guy Bresler
389
12
0
08 Aug 2019
Notes on Computational Hardness of Hypothesis Testing: Predictions using
  the Low-Degree Likelihood Ratio
Notes on Computational Hardness of Hypothesis Testing: Predictions using the Low-Degree Likelihood Ratio
Dmitriy Kunisky
Alexander S. Wein
Afonso S. Bandeira
348
169
0
26 Jul 2019
Who is Afraid of Big Bad Minima? Analysis of Gradient-Flow in a Spiked
  Matrix-Tensor Model
Who is Afraid of Big Bad Minima? Analysis of Gradient-Flow in a Spiked Matrix-Tensor ModelNeural Information Processing Systems (NeurIPS), 2019
Stefano Sarao Mannelli
Giulio Biroli
C. Cammarota
Florent Krzakala
Lenka Zdeborová
251
47
0
18 Jul 2019
How to iron out rough landscapes and get optimal performances: Averaged
  Gradient Descent and its application to tensor PCA
How to iron out rough landscapes and get optimal performances: Averaged Gradient Descent and its application to tensor PCA
Giulio Biroli
C. Cammarota
F. Ricci-Tersenghi
314
33
0
29 May 2019
The Landscape of the Planted Clique Problem: Dense subgraphs and the
  Overlap Gap Property
The Landscape of the Planted Clique Problem: Dense subgraphs and the Overlap Gap Property
D. Gamarnik
Ilias Zadik
202
42
0
15 Apr 2019
The Kikuchi Hierarchy and Tensor PCA
The Kikuchi Hierarchy and Tensor PCA
Alexander S. Wein
A. Alaoui
Cristopher Moore
388
75
0
08 Apr 2019
Marvels and Pitfalls of the Langevin Algorithm in Noisy High-dimensional
  Inference
Marvels and Pitfalls of the Langevin Algorithm in Noisy High-dimensional Inference
Stefano Sarao Mannelli
Giulio Biroli
C. Cammarota
Florent Krzakala
Pierfrancesco Urbani
Lenka Zdeborová
487
52
0
21 Dec 2018
Statistical thresholds for Tensor PCA
Statistical thresholds for Tensor PCA
Aukosh Jagannath
P. Lopatto
Léo Miolane
237
49
0
08 Dec 2018
Phase transition in random tensors with multiple independent spikes
Phase transition in random tensors with multiple independent spikes
Wei-Kuo Chen
Madeline Handschy
Gilad Lerman
324
14
0
18 Sep 2018
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