math.PR · 2026-06-24 · No. 33

Probability, 2026-06-24.

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

01 — The papers

1 entries
  1. 01

    Uniform Sampling from High-dimensional Spectral Norm Balls

    Michael R. Metel

    math.PR · cs.LG

    Motivated by an application in machine learning optimization, this paper focuses on the challenges of sampling a matrix uniformly from the unit spectral norm ball. It is proven that all singular values of sampled matrices converge to 1 almost surely as the matrix dimensions increase. This result provides the theoretical justification for a proposed simple sampling method applicable for large dimension sizes matching matrices found in modern...

    arxiv.org/abs/2606.24134 · PDF

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