Relational Concept Discovery in Structured Datasets

Marianne Huchard 1 Amine Mohamed Rouane Hacene 2 Cyril Roume 3 Petko Valtchev 3
1 MAREL - Models And Reuse Engineering, Languages
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
2 ORPAILLEUR - Knowledge representation, reasonning
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : Relational datasets, i.e., datasets in which individuals are described both by their own features and by their relations to other individuals, arise from various sources such as databases, both relational and object-oriented, knowledge bases, or software models, e.g., UML class diagrams. When processing such complex datasets, it is of prime importance for an analysis tool to hold as much as possible to the initial format so that the semantics is preserved and the interpretation of the final results eased. Therefore, several attempts have been made to introduce relations into the formal concept analysis field which otherwise generated a large number of knowledge discovery methods and tools. However, the proposed approaches invariably look at relations as an intra-concept construct, typically relating two parts of the concept description, and therefore can only lead to the discovery of coarse-grained patterns. As an approach towards the discovery of finer-grain relational concepts, we propose to enhance the classical (object × attribute) data representations with a new dimension that is made out of inter-object links (e.g., spouse, friend, manager- of, etc.). Consequently, the discovered concepts are linked by relations which, like associations in conceptual data models such as the entity-relation diagrams, abstract from existing links between concept instances. The borders for the application of the relational mining task are provided by what we call a relational context family, a set of binary data tables representing individuals of various sorts (e.g., human beings, companies, vehicles, etc.) related by additional binary relations. As we impose no restrictions on the relations in the dataset, a major challenge is the processing of relational loops among data items. We present a method for constructing concepts on top of circular descriptions which is based on an iterative approximation of the final solution. The underlying construction methods are illustrated through their application to the restructuring of class hierarchies in object-oriented software engineering, which are described in UML.
Type de document :
Article dans une revue
Annals of Mathematics and Artificial Intelligence, Springer Verlag, 2007, 49 (1/4), pp.39-76. 〈http://dx.doi.org/10.1007/s10472-007-9056-3〉. 〈10.1007/s10472-007-9056-3〉
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-00183376
Contributeur : Marianne Huchard <>
Soumis le : lundi 29 octobre 2007 - 18:34:31
Dernière modification le : jeudi 24 mai 2018 - 15:59:22

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Marianne Huchard, Amine Mohamed Rouane Hacene, Cyril Roume, Petko Valtchev. Relational Concept Discovery in Structured Datasets. Annals of Mathematics and Artificial Intelligence, Springer Verlag, 2007, 49 (1/4), pp.39-76. 〈http://dx.doi.org/10.1007/s10472-007-9056-3〉. 〈10.1007/s10472-007-9056-3〉. 〈lirmm-00183376〉

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