Higher order learning with graphs

Research output: Contribution to journalConference articleResearchpeer-review

Recently there has been considerable interest in learning with higher order relations (i.e., three-way or higher) in the unsupervised and semi-supervised settings. Hypergraphs and tensors have been proposed as the natural way of representing these relations and their corresponding algebra, as the natural tools for operating on them. In this paper we argue that hypergraphs are not a natural representation for higher order relations, indeed pairwise as well as higher order relations can be handled using graphs. We show that various formulations of the semi-supervised and the unsupervised learning problem on hypergraphs result in the same graph theoretic problem and can be analyzed using existing tools.

Original languageEnglish
JournalACM International Conference Proceeding Series
Pages (from-to)17-24
Number of pages8
DOIs
Publication statusPublished - 2006
Externally publishedYes
Event23rd International Conference on Machine Learning, ICML 2006 - Pittsburgh, PA, United States
Duration: 25 Jun 200629 Jun 2006

Conference

Conference23rd International Conference on Machine Learning, ICML 2006
CountryUnited States
CityPittsburgh, PA
Period25/06/200629/06/2006
SponsorCarnegie Mellon, National Science Foundation, Microsoft, Google, Inc., The Boeing Company

ID: 302053233