math.OC · 2026-05-28 · No. 11

Optimization and Control, 2026-05-28.

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

    Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity

    Michael T. M. Emmerich

    math.OC · cs.AI · cs.NE

    This paper studies preference-shaped expected improvement criteria for Bayesian multiobjective optimization. We consider two indicator families which are often used for similar algorithmic purposes, but which are geometrically different. The hypervolume indicator is based on a dystopian reference point and measures dominated volume in objective space. The R2 indicator is based on a utopian point and evaluates approximation sets through...

    arxiv.org/abs/2605.28746 · PDF

  2. 02

    Implicit Regularization in Perturbed Deep Matrix Factorization: Spectral Conditions and Stability

    Jingzhe Wang, Hung-Hsu Chou

    math.OC · cs.LG · stat.ML

    This paper studies the stability of low-rank implicit regularization in perturbed deep matrix factorization, where the target matrix is corrupted by a noise matrix. We first derive sufficient spectral conditions under which gradient descent exhibits a low-rank phase in the noiseless setting. These conditions show how the target spectrum, initialization, and step size jointly determine the existence of a nonempty low-rank interval. We then...

    arxiv.org/abs/2605.28613 · PDF

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