math.OC · 2026-07-20 · No. 59

Optimization and Control, 2026-07-20.

1 new papers in math.OC. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    Fast and Scalable Caputo Fractional Gradient Descent via Perturbation-Preserving Memory Compression

    Hwanseo Lee, Junseo Lee, Hyunju Kim

    math.OC · cs.LG · cs.NE · math.NA

    Fractional gradient descent (FGD) incorporates long-range memory through Caputo-type operators and has been shown to improve stability in ill-conditioned and nonconvex optimization problems. Despite these advantages, its practical use remains limited, mainly due to the high computational cost of evaluating history-dependent convolutions, which scales quadratically with the number of iterations. In this paper, we focus on making Caputo-based...

    arxiv.org/abs/2607.15505 · PDF

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