math.NA · 2026-09-03 · No. 104

Numerical Analysis, 2026-09-03.

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

01 — The papers

1 entries
  1. 01

    Neural operators approximate strongly continuous convex monotone semigroups

    Jonas Blessing, Philipp Schmocker, Alessandro Sgarabottolo

    math.NA · cs.LG · math.AP · math.PR · stat.ML

    We approximate strongly continuous convex monotone semigroups by learning their Chernoff-type one-step operators with neural operators. First, we introduce the general class of so-called Chernoff-neural operators and show in a universal approximation theorem that they can approximate the Chernoff one-step operators arbitrarily well. By using stability estimates between weighted Hölder spaces, the one-step approximation error can be propagated...

    arxiv.org/abs/2609.02727 · PDF

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