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PHD thesis

Distributions mixture, copulas and dependence

Duration

2001-2009

Keywords

Symbolic Data Analysis, Mixture Decomposition, Copulas, Clustering

Description

A symbolic variable can be provided in the form of a continuous distribution. In this case, how to solve the most frequent problem in data mining, namely: how to classify the objects starting from the description of the variables in the form of continuous distributions. A solution is to sample each distribution in a number N of points, and to evaluate the joint distribution of these values using the copulas, and also to adapt the "nuées dynamiques" method to these joint densities.

Research unit(s)

Staff

Chairperson(s)
Monique NOIRHOMME-FRAITURE Leader

Staff (finished contracts)

Research staff
Etienne CUVELIER Researcher

Publications (6)

Collective work contributions

2007
Symbolic Markov Chains, in Selected Contributions in Data Analysis and Classification, collection Studies in Classification, Data Analysis and Knowledge Organization, pp. 103-111
Monique NOIRHOMME-FRAITURE, Etienne CUVELIER
2007
Classification de fonctions continues à l'aide d'une distribution et d'une densité définies dans un espace de dimension infinie, in 7èmes Jounées Francophones d'Extraction et de Gestion de Connaissances (EGC 07), Namur, 2007
Etienne CUVELIER, Monique NOIRHOMME-FRAITURE
2006
A Probability Distribution of Functional Random Variable with a Functional Data Analysis Application, in The Second International Workshop on Mining Complex Data - MCD'06 - In Conjunction with IEEE ICDM'06, Hong-Kong, 2006
Etienne CUVELIER, Monique NOIRHOMME-FRAITURE

Conference Proceedings

2006
Probability distribution and density for functional random variable. A new tool for functional data analysis, in 14th Annual meeting of the Belgian Statistical Society, Houffalize, 2006
Etienne CUVELIER, Monique NOIRHOMME-FRAITURE
2005
Clayton copula and mixture decomposition, in Applied Stochastic Models and Data Analysis (ASMDA 2005), Brest, 17-20 May 2005
Etienne CUVELIER, Monique NOIRHOMME-FRAITURE
2003
Mélange de distributions de distributions: Décomposition de mélange avec la copule de Clayton, in XXXV èmes Journées de Statistiques, pp. 377-380
Etienne CUVELIER, Monique NOIRHOMME-FRAITURE