math.AG · 2026-07-10 · No. 49

Algebraic Geometry, 2026-07-10.

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

01 — The papers

1 entries
  1. 01

    Tubular Neighbourhoods of Pfaffian Sets and Applications to Neural Networks

    Paul Lezeau, Martin Lotz

    math.AG · cs.LG

    We derive bounds for the volume of tubular neighbourhoods of smooth Pfaffian hypersurfaces, generalising known results for algebraic varieties. The bounds are given in terms of the Pfaffian format of the defining functions. As an application, we obtain tail bounds on the probability distribution of a condition number measuring the robustness of neural network classifiers with Pfaffian activation functions, in both the uniform and Gaussian...

    arxiv.org/abs/2607.08370 · PDF

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