math.FA · 2026-06-09 · No. 18

Functional Analysis, 2026-06-09.

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

01 — The papers

1 entries
  1. 01

    Weighted universal approximation of differentiable maps on infinite-dimensional manifolds

    Philipp Schmocker, Josef Teichmann

    math.FA · cs.LG · math.PR · q-fin.MF · stat.ML

    We generalize the universal approximation theorem for functional input neural networks (FNN) to differentiable maps by including the approximation of the derivatives. A FNN maps the input from a possibly infinite-dimensional weighted manifold to the real-valued hidden layer, on which a non-linear scalar activation function is applied, and then returns the output into a Banach space via some linear readouts. By proving a weighted Nachbin...

    arxiv.org/abs/2606.09820 · PDF

This edition is part of The Daily Abstract — math.FA archive. Subscribe to receive these in your inbox each morning, automatically translated to Spanish, with reply-to-PDF: arxivdaily.ignorelist.com.

Colophon Set in Georgia, with system sans for interface chrome and a monospaced stack for code and paper identifiers. Sole accent: amber #D99C5E. Built and served on an always-free VM. The masthead is set 14% letterspaced because newspapers do that and it works.