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A Riemannian gossip approach to decentralized matrix completion

Numerical Analysis 2016-05-24 v1 Machine Learning Optimization and Control

Abstract

In this paper, we propose novel gossip algorithms for the low-rank decentralized matrix completion problem. The proposed approach is on the Riemannian Grassmann manifold that allows local matrix completion by different agents while achieving asymptotic consensus on the global low-rank factors. The resulting approach is scalable and parallelizable. Our numerical experiments show the good performance of the proposed algorithms on various benchmarks.

Keywords

Cite

@article{arxiv.1605.06968,
  title  = {A Riemannian gossip approach to decentralized matrix completion},
  author = {Bamdev Mishra and Hiroyuki Kasai and Atul Saroop},
  journal= {arXiv preprint arXiv:1605.06968},
  year   = {2016}
}

Comments

Under review

R2 v1 2026-06-22T14:07:07.918Z