Functional-Edged Network Modeling

arXiv:2404.00218v1 Announce Type: cross
Abstract: Contrasts with existing works which all consider nodes as functions and use edges to represent the relationships between different functions. We target at network modeling whose edges are functional data and transform the adjacency matrix into a functional adjacency tensor, introducing an additional dimension dedicated to function representation. Tucker functional decomposition is used for the functional adjacency tensor, and to further consider the community between nodes, we regularize the basis matrices to be symmetrical. Furthermore, …

abstract arxiv cs.lg data function functional functions matrix modeling network nodes relationships representation stat.ml tensor tucker type