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k-simplex2vec: a simplicial extension of node2vec

Published 12 Oct 2020 in cs.LG and math.AT | (2010.05636v2)

Abstract: We present a novel method of associating Euclidean features to simplicial complexes, providing a way to use them as input to statistical and machine learning tools. This method extends the node2vec algorithm to simplices of higher dimensions, providing insight into the structure of a simplicial complex, or into the higher-order interactions in a graph.

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