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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Multilevel approach for combinatorial optimization in bipartite network

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Author(s):
Valejo, Alan [1] ; Ferreira de Oliveira, Maria Cristina [1] ; Filho, Geraldo P. R. [1] ; Lopes, Alneu de Andrade [1]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Inst Math & Comp Sci ICMC, POB 668, BR-14560970 Sao Carlos, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: KNOWLEDGE-BASED SYSTEMS; v. 151, p. 45-61, JUL 1 2018.
Web of Science Citations: 2
Abstract

Multilevel approaches aim at reducing the cost of a target algorithm over a given network by applying it to a coarsened (or reduced) version of the original network. They have been successfully employed in a variety of problems, most notably community detection. However, current solutions are not directly applicable to bipartite networks and the literature lacks studies that illustrate their application for solving multilevel optimization problems in such networks. This article addresses this gap and introduces a multilevel optimization approach for bipartite networks and the implementation of a general multilevel framework including novel algorithms for coarsening and uncorsening, applicable to a variety of problems. We analyze how the proposed multilevel strategy affects the topological features of bipartite networks and show that a controlled coarsening strategy can preserve properties such as degree and clustering coefficient centralities. The applicability of the general framework is illustrated in two optimization problems, one for solving the Barber's modularity for community detection and the second for dimensionality reduction in text classification. We show that the solutions thus obtained are statistically equivalent, regarding accuracy, to those of conventional approaches, whilst requiring considerably lower execution times. (C) 2018 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 17/05838-3 - Visual analytics: applications and a conceptual investigation
Grantee:Maria Cristina Ferreira de Oliveira
Support Opportunities: Regular Research Grants
FAPESP's process: 15/14228-9 - Social Network Analysis and Mining
Grantee:Alneu de Andrade Lopes
Support Opportunities: Regular Research Grants