math.PR · 2026-08-29 · No. 99

Probability, 2026-08-29.

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

    Universality and sharp thresholds for ellipsoid fitting

    Frederic Koehler, Youngtak Sohn

    math.PR · cond-mat.dis-nn · cs.DS · cs.LG · math.ST

    We establish a sharp phase transition for fitting random vectors by an ellipsoid. The random vectors have independent subgaussian coordinates with mean zero, variance one, and a common fourth moment, and the number of vectors is proportional to the square of the dimension. We identify an explicit satisfiability threshold such that, with high probability, a positive definite ellipsoid passes through every data point below the threshold,...

    arxiv.org/abs/2608.27372 · PDF

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