Weighted theta functions and embeddings with applications to Max-Cut, clustering and summarization

Fredrik Johansson; A. Chattoraj; C. Bhattacharyya; Devdatt Dubhashi

Weighted theta functions and embeddings with applications to Max-Cut, clustering and summarization
Övrigt konferensbidrag, 2015

We introduce a unifying generalization of the Lovász theta function, and the associated geometric embedding, for graphs with weights on both nodes and edges. We show how it can be computed exactly by semidefinite programming, and how to approximate it using SVM computations. We show how the theta function can be interpreted as a measure of diversity in graphs and use this idea, and the graph embedding in algorithms for Max-Cut, correlation clustering and document summarization, all of which are well represented as problems on weighted graphs.

Graph embeddings

Weighted graph

Embeddings

Geometric embedding

Theta-function

Document summarization

Information science

Semi-definite programming

Correlation clustering

Författare

Fredrik Johansson

Chalmers, Data- och informationsteknik, Datavetenskap

Forskning Andra publikationer

A. Chattoraj

University of Rochester

Chalmers University of Technology

C. Bhattacharyya

Indian Institute of Science, Bangalore

Devdatt Dubhashi

Chalmers, Data- och informationsteknik, Datavetenskap

Forskning Andra publikationer

29th Annual Conference on Neural Information Processing Systems, NIPS 2015, Montreal, Canada, 7-12 December

1049-5258 (ISSN)

Vol. 2015-January 1018-1026

Ämneskategorier (SSIF 2011)

Diskret matematik

Mer information

Skapat

2017-10-08

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Weighted theta functions and embeddings with applications to Max-Cut, clustering and summarization Övrigt konferensbidrag, 2015