Local and global linear convergence of general low-rank matrix recovery problems

Y Bi, H Zhang, J Lavaei - Proceedings of the AAAI Conference on …, 2022 - ojs.aaai.org
We study the convergence rate of gradient-based local search methods for solving low-rank
matrix recovery problems with general objectives in both symmetric and asymmetric cases …

Robust low-rank matrix completion via an alternating manifold proximal gradient continuation method

M Huang, S Ma, L Lai - IEEE Transactions on Signal …, 2021 - ieeexplore.ieee.org
Robust low-rank matrix completion (RMC), or robust principal component analysis with
partially observed data, has been studied extensively for computer vision, signal processing …

Nonconvex regularized robust PCA using the proximal block coordinate descent algorithm

F Wen, R Ying, P Liu, TK Truong - IEEE Transactions on Signal …, 2019 - ieeexplore.ieee.org
This work addresses the robust principal component analysis (PCA) problem using
generalized nonoconvex regularization for low-rank and sparsity promotion. While the …

A unified framework for nonconvex nonsmooth sparse and low-rank decomposition by majorization-minimization algorithm

QZ Zheng, PF Xu - Journal of the Franklin Institute, 2022 - Elsevier
Recovering a low-rank matrix and a sparse matrix from an observed matrix, known as
sparse and low-rank decomposition (SLRD), is becoming a hot topic in recent years. The …

Structured-Anomaly Pursuit of Network Traffic via Corruption-Robust Low-Rank Tensor Decomposition

J Zeng, LT Yang, C Wang, Y Ruan… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Accurately pursuing network traffic anomalies is crucial to network maintenance and
management. However, existing methods generally focus on detecting uniformly distributed …

[PDF][PDF] The Thirty-Sixth AAAI Conference on Artificial Intelligence

Y Bi, H Zhang - Proceedings of the AAAI Conference on Artificial …, 2022 - par.nsf.gov
We study the convergence rate of gradient-based local search methods for solving low-rank
matrix recovery problems with general objectives in both symmetric and asymmetric cases …

Optimization for Supervised Machine Learning: Randomized Algorithms for Data and Parameters

F Hanzely - arXiv preprint arXiv:2008.11824, 2020 - arxiv.org
Many key problems in machine learning and data science are routinely modeled as
optimization problems and solved via optimization algorithms. With the increase of the …