k-simplex2vec: a simplicial extension of node2vec

10/12/2020

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by   Celia Hacker, et al.

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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.