v1v2 (latest)

Average-Case Complexity of Tensor Decomposition for Low-Degree Polynomials

10 November 2022

Papers citing "Average-Case Complexity of Tensor Decomposition for Low-Degree Polynomials"

50 / 61 papers shown

Title
Towards Quantum Tensor Decomposition in Biomedical Applications Myson Burch Jiasen Zhang Gideon Idumah Hakan Doga R. Lartey ... Weihong Guo Ying Ni Laxmi Parida Xiaojuan Li Aritra Bose 143 3 0 18 Feb 2025
Equivalence of Approximate Message Passing and Low-Degree Polynomials in Rank-One Matrix Estimation Andrea Montanari Alexander S. Wein 45 27 0 14 Dec 2022
Disordered Systems Insights on Computational Hardness D. Gamarnik Cristopher Moore Lenka Zdeborová AI4CE 82 36 0 15 Oct 2022
Statistical and Computational Phase Transitions in Group Testing A. Coja-Oghlan Oliver Gebhard Max Hahn-Klimroth Alexander S. Wein Ilias Zadik 62 21 0 15 Jun 2022
The Franz-Parisi Criterion and Computational Trade-offs in High Dimensional Statistics Afonso S. Bandeira A. Alaoui Samuel B. Hopkins T. Schramm Alexander S. Wein Ilias Zadik 83 34 0 19 May 2022
A Robust Spectral Algorithm for Overcomplete Tensor Decomposition Samuel B. Hopkins T. Schramm Jonathan Shi 88 23 0 05 Mar 2022
Fast algorithm for overcomplete order-3 tensor decomposition Jingqiu Ding Tommaso dÓrsi Chih-Hung Liu Stefan Tiegel David Steurer 58 9 0 14 Feb 2022
Non-Gaussian Component Analysis via Lattice Basis Reduction Ilias Diakonikolas D. Kane 56 19 0 16 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
Reconstruction on Trees and Low-Degree Polynomials Frederic Koehler Elchanan Mossel 70 10 0 14 Sep 2021
Algorithms from Invariants: Smoothed Analysis of Orbit Recovery over $SO(3)$ Allen Liu Ankur Moitra 34 6 0 04 Jun 2021
The Algorithmic Phase Transition of Random $k$ -SAT for Low Degree Polynomials Guy Bresler Brice Huang 58 47 0 03 Jun 2021
Exact nuclear norm, completion and decomposition for random overcomplete tensors via degree-4 SOS Bohdan Kivva Aaron Potechin 24 11 0 18 Nov 2020
Hypothesis testing with low-degree polynomials in the Morris class of exponential families Dmitriy Kunisky 37 8 0 07 Nov 2020
Optimal Low-Degree Hardness of Maximum Independent Set Alexander S. Wein 70 51 0 13 Oct 2020
Statistical Query Algorithms and Low-Degree Tests Are Almost Equivalent Matthew Brennan Guy Bresler Samuel B. Hopkins Jingkai Li T. Schramm 62 66 0 13 Sep 2020
Computational Barriers to Estimation from Low-Degree Polynomials T. Schramm Alexander S. Wein 66 67 0 05 Aug 2020
Free Energy Wells and Overlap Gap Property in Sparse PCA Gerard Ben Arous Alexander S. Wein Ilias Zadik 55 34 0 18 Jun 2020
Tensor Clustering with Planted Structures: Statistical Optimality and Computational Limits Yuetian Luo Anru R. Zhang 94 46 0 21 May 2020
Reducibility and Statistical-Computational Gaps from Secret Leakage Matthew Brennan Guy Bresler 78 91 0 16 May 2020
Counterexamples to the Low-Degree Conjecture Justin Holmgren Alexander S. Wein 39 15 0 17 Apr 2020
Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model Z. Fan Yi Sun Tianhao Wang Yihong Wu 63 18 0 31 Mar 2020
Tensor Decompositions in Deep Learning D. Bacciu Danilo P. Mandic 44 14 0 26 Feb 2020
Community Detection on Mixture Multi-layer Networks via Regularized Tensor Decomposition Bing-Yi Jing Ting Li Zhongyuan Lyu Dong Xia 77 67 0 10 Feb 2020
The Overlap Gap Property in Principal Submatrix Recovery D. Gamarnik Aukosh Jagannath S. Sen 54 29 0 26 Aug 2019
Notes on Computational Hardness of Hypothesis Testing: Predictions using the Low-Degree Likelihood Ratio Dmitriy Kunisky Alexander S. Wein Afonso S. Bandeira 88 148 0 26 Jul 2019
Subexponential-Time Algorithms for Sparse PCA Yunzi Ding Dmitriy Kunisky Alexander S. Wein Afonso S. Bandeira 164 62 0 26 Jul 2019
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 65 28 0 29 May 2019
The Landscape of the Planted Clique Problem: Dense subgraphs and the Overlap Gap Property D. Gamarnik Ilias Zadik 29 40 0 15 Apr 2019
The Kikuchi Hierarchy and Tensor PCA Alexander S. Wein A. Alaoui Cristopher Moore 64 62 0 08 Apr 2019
Computational Hardness of Certifying Bounds on Constrained PCA Problems Afonso S. Bandeira Dmitriy Kunisky Alexander S. Wein 62 66 0 19 Feb 2019
Passed & Spurious: Descent Algorithms and Local Minima in Spiked Matrix-Tensor Models Stefano Sarao Mannelli Florent Krzakala Pierfrancesco Urbani Lenka Zdeborová 54 50 0 01 Feb 2019
Spectral Methods from Tensor Networks Ankur Moitra Alexander S. Wein 44 21 0 02 Nov 2018
Algorithmic thresholds for tensor PCA Gerard Ben Arous Reza Gheissari Aukosh Jagannath 125 87 0 02 Aug 2018
High-dimensional estimation via sum-of-squares proofs P. Raghavendra T. Schramm David Steurer 51 59 0 30 Jul 2018
Reducibility and Computational Lower Bounds for Problems with Planted Sparse Structure Matthew Brennan Guy Bresler Wasim Huleihel 115 110 0 19 Jun 2018
Statistical Problems with Planted Structures: Information-Theoretical and Computational Limits Yihong Wu Jiaming Xu 111 39 0 31 May 2018
Estimation under group actions: recovering orbits from invariants Afonso S. Bandeira Ben Blum-Smith Joe Kileel Amelia Perry Jonathan Niles-Weed Alexander S. Wein 145 70 0 29 Dec 2017
Introduction to Tensor Decompositions and their Applications in Machine Learning Stephan Rabanser Oleksandr Shchur Stephan Günnemann AI4CE 52 207 0 29 Nov 2017
Sparse High-Dimensional Linear Regression. Algorithmic Barriers and a Local Search Algorithm D. Gamarnik Ilias Zadik 78 22 0 14 Nov 2017
Bayesian estimation from few samples: community detection and related problems Samuel B. Hopkins David Steurer 88 63 0 30 Sep 2017
Fast and robust tensor decomposition with applications to dictionary learning T. Schramm David Steurer 69 47 0 27 Jun 2017
On the Optimization Landscape of Tensor Decompositions Rong Ge Tengyu Ma 111 92 0 18 Jun 2017
Statistical Query Lower Bounds for Robust Estimation of High-dimensional Gaussians and Gaussian Mixtures Ilias Diakonikolas D. Kane Alistair Stewart 85 233 0 10 Nov 2016
Polynomial-time Tensor Decompositions with Sum-of-Squares Tengyu Ma Jonathan Shi David Steurer 203 121 0 06 Oct 2016
Tensor Decomposition for Signal Processing and Machine Learning N. Sidiropoulos L. De Lathauwer Xiao Fu Kejun Huang Evangelos E. Papalexakis Christos Faloutsos 174 1,363 0 06 Jul 2016
Fast spectral algorithms from sum-of-squares proofs: tensor decomposition and planted sparse vectors Samuel B. Hopkins T. Schramm Jonathan Shi David Steurer 121 139 0 08 Dec 2015
MMSE of probabilistic low-rank matrix estimation: Universality with respect to the output channel T. Lesieur Florent Krzakala Lenka Zdeborová 96 109 0 14 Jul 2015
Tensor principal component analysis via sum-of-squares proofs Samuel B. Hopkins Jonathan Shi David Steurer 115 168 0 12 Jul 2015
Decomposing Overcomplete 3rd Order Tensors using Sum-of-Squares Algorithms Rong Ge Tengyu Ma 113 66 0 21 Apr 2015