math.PR · 2026-09-04 · No. 105

Probability, 2026-09-04.

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

    Correlated initialization of deep residual networks

    Felix Benning, Ivan Nourdin, Giovanni Peccati

    math.PR · cs.LG · stat.ML

    We study the large-depth behavior of residual networks whose weights are correlated across layers at initialization. Our results confirm and extend a conjecture of Marion et al. [2025], according to which correlated initializations should interpolate continuously between the Brownian stochastic differential equation arising from independent initialization and the ordinary differential equation arising from perfectly correlated initialization....

    arxiv.org/abs/2609.03589 · PDF

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