$k$-simplex2vec: a simplicial extension of node2vecDownload PDF

10 Oct 2020, 16:50 (edited 02 Dec 2020)NeurIPS 2020 Workshop TDA and Beyond Blind SubmissionReaders: Everyone
  • Keywords: Random walks on simplicial complexes, Euclidean representation of k-simplices, feature learning
  • TL;DR: We provide a generalization of node2vec to the $k$-simplices of a simplicial complex.
  • 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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