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2015 | OriginalPaper | Chapter

Abstract and Local Rule Learning in Attributed Networks

Authors : Henry Soldano, Guillaume Santini, Dominique Bouthinon

Published in: Foundations of Intelligent Systems

Publisher: Springer International Publishing

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Abstract

We address the problem of finding local patterns and related local knowledge, represented as implication rules, in an attributed graph. Our approach consists in extending frequent closed pattern mining to the case in which the set of objects is the set of vertices of a graph, typically representing a social network. We recall the definition of abstract closed patterns, obtained by restricting the support set of an attribute pattern to vertices satisfying some connectivity constraint, and propose a specificity measure of abstract closed patterns together with an informativity measure of the associated abstract implication rules. We define in the same way local closed patterns, i.e. maximal attribute patterns each associated to a connected component of the subgraph induced by the support set of some pattern, and also define specificity of local closed patterns together with informativity of associated local implication rules. We also show how, by considering a derived graph, we may apply the same ideas to the discovery of local patterns and local implication rules in non disjoint parts of a subgraph as k-cliques communities.

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Footnotes
1
defined by (i) \(T \subseteq \mathrm {UnionClosure}(T)\) and (ii) if q and w belong to \(\mathrm {UnionClosure}(T)\) then \(q \cup w\) belongs to \(\mathrm {UnionClosure}(T)\). By considering any subset \(T\subseteq 2^O\) and closing it under union we obtain an abstraction of \(2^O\) [10].
 
Literature
1.
go back to reference Prado, A.B., Plantevit, M., Robardet, C., Boulicaut, J.F.: Mining graph topological patterns: finding co-variations among vertex descriptors. IEEE Trans. Knowl. Data Eng. 25(9), 2090–2104 (2013)CrossRef Prado, A.B., Plantevit, M., Robardet, C., Boulicaut, J.F.: Mining graph topological patterns: finding co-variations among vertex descriptors. IEEE Trans. Knowl. Data Eng. 25(9), 2090–2104 (2013)CrossRef
2.
go back to reference Caspard, N., Monjardet, B.: The lattices of closure systems, closure operators, and implicational systems on a finite set: a survey. Discrete Appl. Math. 127(2), 241–269 (2003)MathSciNetCrossRefMATH Caspard, N., Monjardet, B.: The lattices of closure systems, closure operators, and implicational systems on a finite set: a survey. Discrete Appl. Math. 127(2), 241–269 (2003)MathSciNetCrossRefMATH
3.
go back to reference Ganter, B., Wille, R.: Formal Concept Analysis: Mathematical Foundations. Springer, Heidelberg (1999)CrossRefMATH Ganter, B., Wille, R.: Formal Concept Analysis: Mathematical Foundations. Springer, Heidelberg (1999)CrossRefMATH
4.
go back to reference Mougel, P.-N., Rigotti, C., Gandrillon, O.: Finding collections of k-clique percolated components in attributed graphs. In: Tan, P.-N., Chawla, S., Ho, C.K., Bailey, J. (eds.) PAKDD 2012, Part II. LNCS, vol. 7302, pp. 181–192. Springer, Heidelberg (2012) CrossRef Mougel, P.-N., Rigotti, C., Gandrillon, O.: Finding collections of k-clique percolated components in attributed graphs. In: Tan, P.-N., Chawla, S., Ho, C.K., Bailey, J. (eds.) PAKDD 2012, Part II. LNCS, vol. 7302, pp. 181–192. Springer, Heidelberg (2012) CrossRef
5.
go back to reference Palla, G., Derenyi, I., Farkas, I., Vicsek, T.: Uncovering the overlapping community structure of complex networks in nature and society. Nature 435(7043), 814–818 (2005)CrossRef Palla, G., Derenyi, I., Farkas, I., Vicsek, T.: Uncovering the overlapping community structure of complex networks in nature and society. Nature 435(7043), 814–818 (2005)CrossRef
6.
go back to reference Pasquier, N., Taouil, R., Bastide, Y., Stumme, G., Lakhal, L.: Generating a condensed representation for association rules. J. Intell. Inf. Syst. (JIIS) 24(1), 29–60 (2005)CrossRefMATH Pasquier, N., Taouil, R., Bastide, Y., Stumme, G., Lakhal, L.: Generating a condensed representation for association rules. J. Intell. Inf. Syst. (JIIS) 24(1), 29–60 (2005)CrossRefMATH
7.
go back to reference Silva, A., Meira Jr., W., Zaki, M.J.: Mining attribute-structure correlated patterns in large attributed graphs. Proc. VLDB Endow. 5(5), 466–477 (2012)CrossRef Silva, A., Meira Jr., W., Zaki, M.J.: Mining attribute-structure correlated patterns in large attributed graphs. Proc. VLDB Endow. 5(5), 466–477 (2012)CrossRef
8.
go back to reference Soldano, H.: Extensional confluences and local closure operators. In: Baixeries, J., Sacarea, C., Ojeda-Aciego, M. (eds.) ICFCA 2015. LNCS, vol. 9113, pp. 128–144. Springer, Heidelberg (2015) CrossRef Soldano, H.: Extensional confluences and local closure operators. In: Baixeries, J., Sacarea, C., Ojeda-Aciego, M. (eds.) ICFCA 2015. LNCS, vol. 9113, pp. 128–144. Springer, Heidelberg (2015) CrossRef
9.
go back to reference Soldano, H., Santini, G.: Graph abstraction for closed pattern mining in attributed network. In: Schaub, T., Friedrich, G., O’Sullivan, B. (eds.) European Conference in Artificial Intelligence (ECAI). Frontiers in Artificial Intelligence and Applications, vol. 263, pp. 849–854. IOS Press (2014) Soldano, H., Santini, G.: Graph abstraction for closed pattern mining in attributed network. In: Schaub, T., Friedrich, G., O’Sullivan, B. (eds.) European Conference in Artificial Intelligence (ECAI). Frontiers in Artificial Intelligence and Applications, vol. 263, pp. 849–854. IOS Press (2014)
10.
go back to reference Soldano, H., Ventos, V.: Abstract Concept Lattices. In: Jäschke, R. (ed.) ICFCA 2011. LNCS, vol. 6628, pp. 235–250. Springer, Heidelberg (2011) CrossRef Soldano, H., Ventos, V.: Abstract Concept Lattices. In: Jäschke, R. (ed.) ICFCA 2011. LNCS, vol. 6628, pp. 235–250. Springer, Heidelberg (2011) CrossRef
Metadata
Title
Abstract and Local Rule Learning in Attributed Networks
Authors
Henry Soldano
Guillaume Santini
Dominique Bouthinon
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-25252-0_34

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