A structural study of lattices, d-lattices and some applications in data analysis

Abstract : We are interested in formal concept analysis, a theoretical framework for data analysis.This formalism allows to express some central notions of data mining such as implications or closed itemsets, and is centered around lattices, as the description of the relational structure that those objects can have.For multidimensional data, a formalism exists as a generalisation of formal concept analysis : polyadic concept analysis.In this document, we study some combinatorial and algorithmic problems that arose in polyadic concept analysis.We also introduce more applied data analysis techniques of conceptual navigation and classification.
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Giacomo Kahn. A structural study of lattices, d-lattices and some applications in data analysis. Databases [cs.DB]. Université Clermont Auvergne, 2018. English. ⟨NNT : 2018CLFAC066⟩. ⟨tel-02127596⟩

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