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Clustering bipartite graphs in terms of approximate formal concepts and sub-contexts

Gaume, Bruno and Navarro, Emmanuel and Prade, Henri Clustering bipartite graphs in terms of approximate formal concepts and sub-contexts. (2013) International Journal of Computational Intelligence Systems, 6 (6). 1125-1142. ISSN 1875-6891

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Official URL: http://dx.doi.org/10.1080/18756891.2013.819179

Abstract

The paper first offers a parallel between two approaches to conceptual clustering, namely formal concept analysis (augmented with the introduction of new operators) and bipartite graph analysis. It is shown that a formal concept (as defined in formal concept analysis) corresponds to the idea of a maximal bi-clique, while sub-contexts, which correspond to independent “conceptual worlds” that can be characterized by means of the new operators introduced, are disconnected sub-graphs in a bipartite graph. The parallel between formal concept analysis and bipartite graph analysis is further exploited by considering “approximation” methods on both sides. It leads to suggest new ideas for providing simplified views of datasets, taking also inspiration from the search for approximate itemsets in data mining (with relaxed requirements), and the detection of communities in hierarchical small worlds.

Item Type:Article
Additional Information:Thanks to Taylor & Francis editor. The definitive version is available at http://www.tandfonline.com/doi/abs/10.1080/18756891.2013.819179#.VP1ZS_mG-oE
HAL Id:hal-01127983
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Ecole Pratique des Hautes Etudes - EPHE (FRANCE)
Other partners > Université Bordeaux Montaigne (FRANCE)
Laboratory name:
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Deposited By: IRIT IRIT
Deposited On:09 Mar 2015 09:09

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