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Fast spectral algorithms from sum-of-squares proofs: tensor decomposition and planted sparse vectors

8 December 2015

Papers citing "Fast spectral algorithms from sum-of-squares proofs: tensor decomposition and planted sparse vectors"

50 / 56 papers shown

Title
Survey on Algorithms for multi-index models Joan Bruna Daniel Hsu 103 3 0 07 Apr 2025
Overcomplete Tensor Decomposition via Koszul-Young Flattenings Pravesh K. Kothari Ankur Moitra Alexander S. Wein 150 1 0 21 Nov 2024
Fundamental limits of Non-Linear Low-Rank Matrix Estimation Pierre Mergny Justin Ko Florent Krzakala Lenka Zdeborová 84 3 0 07 Mar 2024
Sharp Analysis of Power Iteration for Tensor PCA Yuchen Wu Kangjie Zhou 163 1 0 02 Jan 2024
SQ Lower Bounds for Random Sparse Planted Vector Problem Jingqiu Ding Yiding Hua 62 4 0 26 Jan 2023
Average-Case Complexity of Tensor Decomposition for Low-Degree Polynomials Alexander S. Wein 113 11 0 10 Nov 2022
Lower Bounds for the Convergence of Tensor Power Iteration on Random Overcomplete Models Yuchen Wu Kangjie Zhou 173 6 0 07 Nov 2022
Disordered Systems Insights on Computational Hardness D. Gamarnik Cristopher Moore Lenka Zdeborová AI4CE 84 36 0 15 Oct 2022
Concentration of polynomial random matrices via Efron-Stein inequalities Goutham Rajendran Madhur Tulsiani 92 7 0 06 Sep 2022
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 86 10 0 05 Sep 2022
High-dimensional limit theorems for SGD: Effective dynamics and critical scaling Gerard Ben Arous Reza Gheissari Aukosh Jagannath 137 59 0 08 Jun 2022
A Robust Spectral Algorithm for Overcomplete Tensor Decomposition Samuel B. Hopkins T. Schramm Jonathan Shi 95 23 0 05 Mar 2022
Selective Multiple Power Iteration: from Tensor PCA to gradient-based exploration of landscapes M. Ouerfelli M. Tamaazousti V. Rivasseau 75 7 0 23 Dec 2021
Lattice-Based Methods Surpass Sum-of-Squares in Clustering Ilias Zadik M. Song Alexander S. Wein Joan Bruna 78 39 0 07 Dec 2021
Clustering Mixtures with Almost Optimal Separation in Polynomial Time Jingkai Li Allen Liu 64 23 0 01 Dec 2021
On Estimating Rank-One Spiked Tensors in the Presence of Heavy Tailed Errors Arnab Auddy M. Yuan 57 12 0 20 Jul 2021
Optimal Spectral Recovery of a Planted Vector in a Subspace Cheng Mao Alexander S. Wein 69 20 0 31 May 2021
SoS Degree Reduction with Applications to Clustering and Robust Moment Estimation David Steurer Stefan Tiegel 68 10 0 05 Jan 2021
Power Iteration for Tensor PCA Jiaoyang Huang Daniel Zhengyu Huang Qing Yang Guang Cheng 74 19 0 26 Dec 2020
Spectral Methods for Data Science: A Statistical Perspective Yuxin Chen Yuejie Chi Jianqing Fan Cong Ma 163 173 0 15 Dec 2020
Exact nuclear norm, completion and decomposition for random overcomplete tensors via degree-4 SOS Bohdan Kivva Aaron Potechin 53 11 0 18 Nov 2020
Sparse PCA: Algorithms, Adversarial Perturbations and Certificates Tommaso dÓrsi Pravesh Kothari Gleb Novikov David Steurer AAML 128 25 0 12 Nov 2020
Settling the Robust Learnability of Mixtures of Gaussians Allen Liu Ankur Moitra 81 42 0 06 Nov 2020
Computational Barriers to Estimation from Low-Degree Polynomials T. Schramm Alexander S. Wein 73 67 0 05 Aug 2020
Overcomplete order-3 tensor decomposition, blind deconvolution and Gaussian mixture models Haolin Chen Luis Rademacher 57 3 0 16 Jul 2020
Reducibility and Statistical-Computational Gaps from Secret Leakage Matthew Brennan Guy Bresler 99 91 0 16 May 2020
Learning Polynomials of Few Relevant Dimensions Sitan Chen Raghu Meka 70 40 0 28 Apr 2020
Learning sums of powers of low-degree polynomials in the non-degenerate case A. Garg N. Kayal Chandan Saha 68 24 0 15 Apr 2020
Finding the Sparsest Vectors in a Subspace: Theory, Algorithms, and Applications Qing Qu Zhihui Zhu Xiao Li M. Tsakiris John N. Wright René Vidal 62 20 0 20 Jan 2020
Algorithms for Heavy-Tailed Statistics: Regression, Covariance Estimation, and Beyond Yeshwanth Cherapanamjeri Samuel B. Hopkins Tarun Kathuria P. Raghavendra Nilesh Tripuraneni 150 39 0 23 Dec 2019
The Overlap Gap Property in Principal Submatrix Recovery D. Gamarnik Aukosh Jagannath S. Sen 62 29 0 26 Aug 2019
A Survey of Recent Scalability Improvements for Semidefinite Programming with Applications in Machine Learning, Control, and Robotics Anirudha Majumdar G. Hall Amir Ali Ahmadi 115 102 0 14 Aug 2019
Classical and Quantum Algorithms for Tensor Principal Component Analysis M. Hastings 76 17 0 30 Jul 2019
Notes on Computational Hardness of Hypothesis Testing: Predictions using the Low-Degree Likelihood Ratio Dmitriy Kunisky Alexander S. Wein Afonso S. Bandeira 99 148 0 26 Jul 2019
The Kikuchi Hierarchy and Tensor PCA Alexander S. Wein A. Alaoui Cristopher Moore 74 62 0 08 Apr 2019
Statistical thresholds for Tensor PCA Aukosh Jagannath P. Lopatto Léo Miolane 62 44 0 08 Dec 2018
Smoothed Analysis in Unsupervised Learning via Decoupling Aditya Bhaskara Aidao Chen Aidan Perreault Aravindan Vijayaraghavan 64 19 0 29 Nov 2018
Spectral Methods from Tensor Networks Ankur Moitra Alexander S. Wein 75 21 0 02 Nov 2018
Mean Estimation with Sub-Gaussian Rates in Polynomial Time Samuel B. Hopkins 87 81 0 19 Sep 2018
Algorithmic thresholds for tensor PCA Gerard Ben Arous Reza Gheissari Aukosh Jagannath 145 87 0 02 Aug 2018
High-dimensional estimation via sum-of-squares proofs P. Raghavendra T. Schramm David Steurer 90 59 0 30 Jul 2018
Structured Local Optima in Sparse Blind Deconvolution Yuqian Zhang Han-Wen Kuo John N. Wright 134 57 0 01 Jun 2018
High Dimensional Robust Sparse Regression Liu Liu Yanyao Shen Tianyang Li Constantine Caramanis 95 71 0 29 May 2018
Notes on computational-to-statistical gaps: predictions using statistical physics Afonso S. Bandeira Amelia Perry Alexander S. Wein AI4CE 104 58 0 29 Mar 2018
On the Connection Between Learning Two-Layers Neural Networks and Tensor Decomposition Marco Mondelli Andrea Montanari MLT CML 94 59 0 20 Feb 2018
Convolutional Phase Retrieval via Gradient Descent Qing Qu Yuqian Zhang Yonina C. Eldar John N. Wright 101 30 0 03 Dec 2017
The landscape of the spiked tensor model Gerard Ben Arous Song Mei Andrea Montanari Mihai Nica 92 119 0 15 Nov 2017
Fast and robust tensor decomposition with applications to dictionary learning T. Schramm David Steurer 84 47 0 27 Jun 2017
On the Optimization Landscape of Tensor Decompositions Rong Ge Tengyu Ma 116 92 0 18 Jun 2017
Relative Error Tensor Low Rank Approximation Zhao Song David P. Woodruff Peilin Zhong 99 123 0 26 Apr 2017