English

Adaptive Stochastic Gradient Descents on Manifolds with an Application on Weighted Low-Rank Approximation

Optimization and Control 2025-04-01 v2 Artificial Intelligence Machine Learning

Abstract

We prove a convergence theorem for stochastic gradient descents on manifolds with adaptive learning rate and apply it to the weighted low-rank approximation problem.

Keywords

Cite

@article{arxiv.2503.11833,
  title  = {Adaptive Stochastic Gradient Descents on Manifolds with an Application on Weighted Low-Rank Approximation},
  author = {Peiqi Yang and Conglong Xu and Hao Wu},
  journal= {arXiv preprint arXiv:2503.11833},
  year   = {2025}
}