Consistent sampling of Paley-Wiener functions on graphons

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Hartmut F\"{u}hr, Mahya Ghandehari

Published: 25 Mar 2025, Last Modified: 20 May 2025SampTA 2025 OralEveryoneRevisionsBibTeXCC BY 4.0
Session: General
Keywords: graph/graphon signal processing, sampling
TL;DR: Sampling methods for Paley-Wiener functions on graphons, and consistent sampling for converging graph sequences.
Abstract: We study sampling methods for Paley-Wiener functions on graphons, thereby adapting and generalizing methods initially developed for graphs to the graphon setting. We then derive conditions under which such a sampling estimate is consistent with graphon convergence.
Submission Number: 66