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The Total Variation on Hypergraphs - Learning on Hypergraphs Revisited
Matthias Hein · Simon Setzer · Leonardo Jost · Syama Sundar Rangapuram

Sat Dec 07 07:00 PM -- 11:59 PM (PST) @ Harrah's Special Events Center, 2nd Floor

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.

Author Information

Matthias Hein (University of Tübingen)
Simon Setzer (Saarland University)
Leonardo Jost (Saarland University)
Syama Sundar Rangapuram (Saarland University)

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