math.OC · 2026-06-23 · No. 32

Optimization and Control, 2026-06-23.

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

    Incremental Learning in Mirror Flows

    Raphaël Berthier, Loucas Pillaud-Vivien

    math.OC · cs.LG · stat.ML

    We study mirror flows generated by a convex quadratic loss and a general convex lower semicontinuous mirror potential. We show that, when initialized near the boundary of the domain of the mirror potential, their rescaled trajectories converge to a limiting mirror flow whose potential is the indicator function of the domain. In this limit, the primal variable minimizes the loss over a time-dependent hypothesis set: the subdifferential of the...

    arxiv.org/abs/2606.23198 · PDF

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