Topological Node2vec: Enhanced Graph Embedding via Persistent Homology
Updated: 2024-05-31 20:12:28
: Home Page Papers Submissions News Editorial Board Special Issues Open Source Software Proceedings PMLR Data DMLR Transactions TMLR Search Statistics Login Frequently Asked Questions Contact Us Topological Node2vec : Enhanced Graph Embedding via Persistent Homology Yasuaki Hiraoka , Yusuke Imoto , Théo Lacombe , Killian Meehan , Toshiaki Yachimura 25(134 1 26, 2024. Abstract Node2vec is a graph embedding method that learns a vector representation for each node of a weighted graph while seeking to preserve relative proximity and global structure . Numerical experiments suggest Node2vec struggles to recreate the topology of the input graph . To resolve this we introduce a topological loss term to be added to the training loss of Node2vec which tries to align the persistence diagram PD of