An Apocalypse-Free First-Order Low-Rank Optimization Algorithm with at Most One Rank Reduction Attempt per Iteration-Reference-Cited by-同舟云学术

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An Apocalypse-Free First-Order Low-Rank Optimization Algorithm with at Most One Rank Reduction Attempt per Iteration

Published:2023-09-22 Issue:3 Volume:44 Page:1421-1435
ISSN:0895-4798
Container-title:SIAM Journal on Matrix Analysis and Applications
language:en
Short-container-title:SIAM J. Matrix Anal. Appl.

Author:

Olikier Guillaume¹^ORCID,Absil P.-A.¹

Affiliation:

1. ICTEAM Institute, UCLouvain, Avenue Georges Lemaître 4, 1348 Louvain-la-Neuve, Belgium.

Funder

Fonds De La Recherche Scientifique - FNRS

Fonds Wetenschappelijk Onderzoek

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Analysis

Reference9 articles.

1. Low-Rank Matrix Approximation with Weights or Missing Data Is NP-Hard

2. Matrix Computations

3. An Equivalence between Critical Points for Rank Constraints Versus Low-Rank Factorizations

4. Algebraic Geometry

5. Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy

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