math.AC · 2026-08-30 · No. 100

Commutative Algebra, 2026-08-30.

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

01 — The papers

1 entries
  1. 01

    Linear Independence of Polynomial Compositions and Identifiability of Deep Neural Networks

    Kathlén Kohn, Giovanni Luca Marchetti, Alex Massarenti, Massimiliano Mella

    math.AC · cs.LG · math.AG

    Motivated by theoretical problems in deep learning, we conjecture that post-composing a fixed number of pairwise distinct nonconstant polynomials with a generic polynomial of sufficiently large degree yields linearly independent polynomials. This generalizes Newman--Slater's theorem on powers of polynomials. We establish several cases of this conjecture and its origin-passing variant: We prove the result for two polynomials, and for an...

    arxiv.org/abs/2608.27113 · PDF

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