math.OC · 2026-07-13 · No. 52

Optimization and Control, 2026-07-13.

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

01 — The papers

3 entries
  1. 01

    Control Laguerre Tessellation: Semi-discrete Optimal Transport Over Control Systems

    Ripon C. Sarker, Abhishek Halder

    math.OC · cs.LG · cs.MA · eess.SY

    We study the optimal transport of optimally controlled agents from a compactly supported absolutely continuous source to a discrete target measure. The ground cost for the transport is induced by the optimal cost of the agents' motion. When this ground cost satisfies the twist condition, the optimal transport map is given almost everywhere in terms of a Laguerre tessellation of the state space. We refer to this control-theoretic...

    arxiv.org/abs/2607.09139 · PDF

  2. 02

    Solving Stochastic Fixed-Point Equations with High Probability

    Jelena Diakonikolas

    math.OC · cs.DS · cs.LG · stat.ML

    We study stochastic fixed-point equations $\mathbf{T}(\mathbf{x}) = \mathbf{x}$ over normed spaces $(\mathcal{E}, \|\cdot\|)$, where the operator $\mathbf{T}$ is nonexpansive or contractive and is accessed only through unbiased stochastic evaluations with bounded second central moment. Given $ε> 0, δ\in (0, 1)$, the goal is to output $\mathbf{x} \in \mathcal{E}$ such that $\|\mathbf{T}(\mathbf{x}) - \mathbf{x}\| \leq ε$ with probability at...

    arxiv.org/abs/2607.09097 · PDF

  3. 03

    Nonconvex Composite Functional Constraints via First-Order Augmented Lagrangian Methods under Local Regularity

    Linglingzhi Zhu, Jiajin Li

    math.OC · cs.LG · stat.ML

    We study nonasymptotic convergence of primal-dual methods for a class of nonconvex constrained optimization problems with a convex-composite structure. In this class, both the objective and the functional inequality constraints are given by convex Lipschitz outer functions composed with smooth nonlinear inner mappings. The analysis is complicated by constraint violation in a nonconvex functional inequality system and by the lack of an a...

    arxiv.org/abs/2607.08954 · PDF

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