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Scalable tensor methods for nonuniform hypergraphs
April 5, 2024, 4:43 a.m. | Sinan G. Aksoy, Ilya Amburg, Stephen J. Young
cs.LG updates on arXiv.org arxiv.org
Abstract: While multilinear algebra appears natural for studying the multiway interactions modeled by hypergraphs, tensor methods for general hypergraphs have been stymied by theoretical and practical barriers. A recently proposed adjacency tensor is applicable to nonuniform hypergraphs, but is prohibitively costly to form and analyze in practice. We develop tensor times same vector (TTSV) algorithms for this tensor which improve complexity from $O(n^r)$ to a low-degree polynomial in $r$, where $n$ is the number of vertices …
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