Fixed-rank matrix factorizations and Riemannian low-rank optimization

Fixed-rank matrix factorizations and Riemannian low-rank optimization

3 September 2012

S. Bonnabel

Papers citing "Fixed-rank matrix factorizations and Riemannian low-rank optimization"

17 / 17 papers shown

Title
Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Andi Han Pierre-Louis Poirion Akiko Takeda 22 0 0 18 May 2025
Nonconvex Matrix Factorization is Geodesically Convex: Global Landscape Analysis for Fixed-rank Matrix Optimization From a Riemannian Perspective Yuetian Luo Nicolas García Trillos 24 6 0 29 Sep 2022
Variational Bayesian inference for CP tensor completion with side information S. Budzinskiy N. Zamarashkin 21 1 0 24 Jun 2022
Tensor-on-Tensor Regression: Riemannian Optimization, Over-parameterization, Statistical-computational Gap, and Their Interplay Yuetian Luo Anru R. Zhang 38 19 0 17 Jun 2022
Nonconvex Factorization and Manifold Formulations are Almost Equivalent in Low-rank Matrix Optimization Yuetian Luo Xudong Li Anru R. Zhang 33 9 0 03 Aug 2021
GNMR: A provable one-line algorithm for low rank matrix recovery Pini Zilber B. Nadler 52 14 0 24 Jun 2021
Recursive Importance Sketching for Rank Constrained Least Squares: Algorithms and High-order Convergence Yuetian Luo Wen Huang Xudong Li Anru R. Zhang 23 15 0 17 Nov 2020
Operator-valued formulas for Riemannian Gradient and Hessian and families of tractable metrics Du Nguyen 16 5 0 21 Sep 2020
Learning Geometric Word Meta-Embeddings Pratik Jawanpuria N. Dev Anoop Kunchukuttan Bamdev Mishra FedML 28 13 0 20 Apr 2020
Rank $2r$ iterative least squares: efficient recovery of ill-conditioned low rank matrices from few entries Jonathan Bauch B. Nadler Pini Zilber 37 14 0 05 Feb 2020
McTorch, a manifold optimization library for deep learning Mayank Meghwanshi Pratik Jawanpuria Anoop Kunchukuttan Hiroyuki Kasai Bamdev Mishra AI4CE 28 41 0 03 Oct 2018
Learning Multilingual Word Embeddings in Latent Metric Space: A Geometric Approach Pratik Jawanpuria Arjun Balgovind Anoop Kunchukuttan Bamdev Mishra 38 77 0 27 Aug 2018
Generalized BackPropagation, Étude De Cas: Orthogonality Mehrtash Harandi Basura Fernando 22 62 0 17 Nov 2016
Partial Least Squares Regression on Riemannian Manifolds and Its Application in Classifications Haoran Chen Yanfeng Sun Junbin Gao Yongli Hu Baocai Yin 12 1 0 21 Sep 2016
A Riemannian gossip approach to decentralized matrix completion Bamdev Mishra Hiroyuki Kasai Atul Saroop 28 3 0 23 May 2016
Convergence results for projected line-search methods on varieties of low-rank matrices via Łojasiewicz inequality R. Schneider André Uschmajew 46 132 0 21 Feb 2014
Manopt, a Matlab toolbox for optimization on manifolds Nicolas Boumal Bamdev Mishra P.-A. Absil R. Sepulchre 36 1,021 0 23 Aug 2013