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arXiv · 2303.16598

Robust Recovery of Robinson Property in $L^p$-Graphons: A Cut-Norm Approach

Mahya Ghandehari·Teddy Mishura
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Abstract

This paper investigates the Robinson graphon completion/recovery problem within the class of $L^p$-graphons, focusing on the range $5 5$, any $L^p$-graphon $w$ can be approximated by a Robinson graphon, with error of the approximation bounded in terms of $\Lambda(w)$. When viewing $w$ as a noisy version of a Robinson graphon, our method provides a concrete recipe for recovering a cut-norm approximation of a noiseless $w$. Given that any symmetric matrix is a special type of graphon, our results can be applicable to symmetric matrices of any size. Our work extends and improves previous results, where a similar question for the special case of $L^\infty$-graphons was answered.

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BibTeXRIS

Mahya Ghandehari, Teddy Mishura. 2023-03-29. Robust Recovery of Robinson Property in $L^p$-Graphons: A Cut-Norm Approach. https://arxiv.org/abs/2303.16598

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