math.ST · 2026-07-28 · No. 67

Statistics Theory, 2026-07-28.

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

01 — The papers

1 entries
  1. 01

    The Zero Pattern of a Design Matrix Drives Multiple Descent in Over-parameterized Regression

    Kevin Han Huang, Haoyu Ye, Somak Laha, Morgane Austern

    math.ST · cs.LG · stat.ML

    Over-parameterized linear regression has been widely studied over the last decade. However, most existing works assume that the covariates are independent and that their covariance matrices are non-degenerate. In this paper, we relax both assumptions and derive deterministic equivalents for the prediction risk in a vanishing-ridge regime. We show that degeneracy of the covariance matrices and dependence can lead to multiple descent, and...

    arxiv.org/abs/2607.24041 · PDF

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