math.OC · 2026-06-17 · No. 26

Optimization and Control, 2026-06-17.

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

01 — The papers

2 entries
  1. 01

    Symplectic Transversality and Endpoint Green Estimates for Finite-Horizon Pontryagin Systems

    Pyuyi Chufeng Huang, Zikang Song, Xingshu Chen

    math.OC · cs.AI

    We study horizon-uniform local branches of finite-horizon discrete-time Pontryagin boundary value systems after smooth control elimination. The central input is a two-point endpoint inverse for the linearization. We verify this inverse from scaled stable--unstable boundary transversality, prove the associated endpoint-corrected Green estimate, and combine it with weighted contractions to obtain existence, uniqueness, Lipschitz dependence, and...

    arxiv.org/abs/2606.17762 · PDF

  2. 02

    Beyond IGO-Flow: Toward Convergence Analysis of IGO in Continuous Spaces

    Ryosuke Kimura, Youhei Akimoto

    math.OC · cs.LG

    Information-Geometric Optimization (IGO) provides a unified framework for black-box optimization by interpreting the adaptation of a search distribution as a natural gradient update. Despite its conceptual importance, the convergence theory of IGO remains limited: most existing results concern continuous-time idealizations such as the IGO flow, rather than discrete-time updates with non-infinitesimal learning rates. In this paper, we study...

    arxiv.org/abs/2606.17523 · PDF

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