mlsanityData to 14 Oct 2026

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

arXiv 2503.11833 ↗First posted 14 Mar 2025math.OC cs.AI cs.LGcited by 0

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Abstract (arXiv)

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.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 5 of its 18 references that are in the map. First posted on arXiv 14 Mar 2025.

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References · 5

  1. 2018On the Convergence of Stochastic Gradient Descent with Adaptive Stepsizescited by 156
  2. 2013Stochastic Majorization-Minimization Algorithms for Large-Scale Optimizationcited by 28
  3. 2019Regularized Weighted Low Rank Approximationcited by 10
  4. 2023Matrix Completion in Almost-Verification Timecited by 4
  5. 2023Disjunctive Branch-and-Bound for Certifiably Optimal Low-Rank Matrix Completioncited by 2

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