math.OC · 2026-08-14 · No. 84

Optimization and Control, 2026-08-14.

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

    Distribution Steering via Sliced Optimal Transport Control

    Kaito Ito, Anqi Dong

    math.OC · cs.LG · eess.SY · stat.ML

    Distribution steering seeks feedback laws that drive the state law of a dynamical system between prescribed initial and terminal distributions. Optimal transport provides a natural geometric approach, but its implementation generally requires a transport map or coupling in the full state space. Sliced optimal transport avoids this full-dimensional construction through one-dimensional projections. Yet, the resulting projected maps specify only...

    arxiv.org/abs/2608.12828 · PDF

  2. 02

    Difference-of-Convex Regularization for Graph Learning by Differentiable Programming

    Liping Tao, Chee Wei Tan

    math.OC · cs.LG

    Laplacian-regularized minimization is fundamental in signal processing and machine learning, but is limited by the dense and ill-conditioned nature of the graph Laplacian pseudoinverse. While the Laplacian itself is sparse, its pseudoinverse is dense and often ill-conditioned, rendering direct computation impractical at scale. Moreover, pseudoinverse learning is more challenging than Laplacian learning. To address this challenge, this paper...

    arxiv.org/abs/2608.12757 · PDF

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