Optimality and Sub-optimality of PCA I: Spiked Random Matrix Models

Optimality and Sub-optimality of PCA I: Spiked Random Matrix Models

2 July 2018

Alexander S. Wein

Afonso S. Bandeira

Papers citing "Optimality and Sub-optimality of PCA I: Spiked Random Matrix Models"

16 / 16 papers shown

Title
On the phase diagram of extensive-rank symmetric matrix denoising beyond rotational invariance Jean Barbier Francesco Camilli Justin Ko Koki Okajima 21 5 0 04 Nov 2024
Computational lower bounds for multi-frequency group synchronization Anastasia Kireeva Afonso S. Bandeira Dmitriy Kunisky 46 1 0 05 Jun 2024
Fundamental limits of Non-Linear Low-Rank Matrix Estimation Pierre Mergny Justin Ko Florent Krzakala Lenka Zdeborová 27 1 0 07 Mar 2024
Deflated HeteroPCA: Overcoming the curse of ill-conditioning in heteroskedastic PCA Yuchen Zhou Yuxin Chen 38 4 0 10 Mar 2023
Minimax Rates for Robust Community Detection Allen Liu Ankur Moitra 18 13 0 25 Jul 2022
High-dimensional limit theorems for SGD: Effective dynamics and critical scaling Gerard Ben Arous Reza Gheissari Aukosh Jagannath 49 59 0 08 Jun 2022
Sampling Approximately Low-Rank Ising Models: MCMC meets Variational Methods Frederic Koehler Holden Lee Andrej Risteski 24 21 0 17 Feb 2022
HyperPCA: a Powerful Tool to Extract Elemental Maps from Noisy Data Obtained in LIBS Mapping of Materials Riccardo Finotello M. Tamaazousti J. Sirven 13 12 0 30 Nov 2021
Hutch++: Optimal Stochastic Trace Estimation R. A. Meyer Cameron Musco Christopher Musco David P. Woodruff 18 103 0 19 Oct 2020
Statistical Query Algorithms and Low-Degree Tests Are Almost Equivalent Matthew Brennan Guy Bresler Samuel B. Hopkins J. Li T. Schramm 19 62 0 13 Sep 2020
Estimating Rank-One Spikes from Heavy-Tailed Noise via Self-Avoiding Walks Jingqiu Ding Samuel B. Hopkins David Steurer 6 10 0 31 Aug 2020
Near-Optimal Performance Bounds for Orthogonal and Permutation Group Synchronization via Spectral Methods Shuyang Ling 18 34 0 12 Aug 2020
Information-Theoretic Limits for the Matrix Tensor Product Galen Reeves 30 29 0 22 May 2020
Notes on Computational Hardness of Hypothesis Testing: Predictions using the Low-Degree Likelihood Ratio Dmitriy Kunisky Alexander S. Wein Afonso S. Bandeira 21 135 0 26 Jul 2019
Subexponential-Time Algorithms for Sparse PCA Yunzi Ding Dmitriy Kunisky Alexander S. Wein Afonso S. Bandeira 20 57 0 26 Jul 2019
Computational Hardness of Certifying Bounds on Constrained PCA Problems Afonso S. Bandeira Dmitriy Kunisky Alexander S. Wein 18 64 0 19 Feb 2019