Part of Advances in Neural Information Processing Systems 26 (NIPS 2013)
Matthias Hein, Simon Setzer, Leonardo Jost, Syama Sundar Rangapuram
Hypergraphs allow to encode higher-order relationships in data and are thus a very flexible modeling tool. Current learning methods are either based on approximations of the hypergraphs via graphs or on tensor methods which are only applicable under special conditions. In this paper we present a new learning framework on hypergraphs which fully uses the hypergraph structure. The key element is a family of regularization functionals based on the total variation on hypergraphs.