math.NA · 2026-07-08 · No. 47

Numerical Analysis, 2026-07-08.

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

    Kernel-based Operator Learning: Error Analysis, Budget Allocation, and a Physics-Informed Extension

    Rüdiger Kempf

    math.NA · cs.LG

    We study kernel-based operator learning in a two-stage sampling framework, where an offline kernel regression operator learns a discretized representation of the target operator from input-output pairs and an online kernel reconstruction operator recovers the output function from predicted observations. Our main theoretical contribution is an explicit budget allocation condition relating the number $N$ of training pairs, the number $n$ of...

    arxiv.org/abs/2607.06287 · PDF

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