math.OC · 2026-08-10 · No. 80

Optimization and Control, 2026-08-10.

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

    Wasserstein Policy Gradient for Entropy-Regularized Linear-Quadratic Control

    Zhaoyu Zhu, Rui Gao, Shuang Li

    math.OC · cs.LG

    Wasserstein policy gradient (WPG) updates state-conditional action laws by transport in the action space. We study entropy-regularized discounted linear-quadratic (LQ) control. A Bellman verification argument shows that the unrestricted problem has a linear-Gaussian optimal policy, and the discounted-occupancy-weighted statewise Wasserstein gradient is tangent to this policy class. WPG therefore reduces exactly to a finite-dimensional ODE for...

    arxiv.org/abs/2608.07433 · PDF

  2. 02

    Uncovering expert objectives in production planning via inverse optimization: An industrial case study

    Shivi Dixit, Rishabh Gupta, Adam Kelloway, John Wassick, Qi Zhang

    math.OC · cs.HC · cs.LG

    Production planning in the manufacturing industry often relies on the use of optimization models, but defining an appropriate objective function can be a challenge. In practice, planners must balance competing goals, manage uncertainty, and account for qualitative business preferences that are difficult to quantify. As a result, many optimization models fail to match expert behavior, limiting trust and adoption. In this work, we propose a...

    arxiv.org/abs/2608.07398 · PDF

  3. 03

    Establishing Boundary KKT Convergence of Mirror Descent through Reparameterization

    Kuangyu Ding, Kim-Chuan Toh

    math.OC · cs.LG

    We prove that mirror descent converges to a KKT point for the nonconvex problem without excluding boundary limits. The result holds under verifiable conditions that jointly couple the objective, the Legendre kernel, and the feasible geometry. The key ingredient to establish the convergence is a metric-flattening reparameterization \(S\) that admits a definable boundary extension. Applying the KL argument to the reparameterized objective...

    arxiv.org/abs/2608.07248 · PDF

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