LASSERRE Marvin

PhD graduated
Team : DECISION
    Sorbonne Université - LIP6
    Boîte courrier 169
    Couloir 26-00, Étage 4, Bureau 401
    4 place Jussieu
    75252 PARIS CEDEX 05
    FRANCE

Tel: +33 1 44 27 70 07, Marvin.Lasserre (at) nulllip6.fr
https://lip6.fr/Marvin.Lasserre

Supervision : Christophe GONZALES

Co-supervision : WUILLEMIN Pierre-Henri, LEBRUN Régis

Learning non-parametric Copula Bayesian Networks

Modeling multivariate continuous distributions is a task of central interest in statistics and machine learning with many applications in science and engineering. However, high-dimensional distributions are difficult to handle and can lead to intractable computations.
The Copula Bayesian Networks (CBNs) take advantage of both Bayesian networks (BNs) and copula theory to compactly represent such multivariate distributions. Bayesian networks rely on conditional independences in order to reduce the complexity of the problem, while copula functions allow modeling the dependence relation between random variables.
The goal of this thesis is to give a common framework for both domains and to propose new learning algorithms for copula Bayesian networks. To do so, we use the fact that CBNs have the same graphical language as BNs which allow us to adapt their learning methods to this model.
Moreover, using the empirical Bernstein copula both to design conditional independence tests and to estimate copulas from data, we avoid making parametric assumptions, which gives greater generality to our methods.

Defence : 03/11/2022 - 09h30 - Campus Pierre et Marie Curie, salle Jacques Pitrat (25-26/105)

Jury members :

Sébastien Destercke, chargé de recherche, CNRS, Université de Technologie de Compiègne [rapporteur]
Simon de Givry, chargé de recherche, CNRS, INRAE MIAT [rapporteur]
Gregory Nuel, Directeur de recherche, CNRS, Sorbonne Université
Patrice Perny, Professeur, Sorbonne Université
Clémentine Prieur, Professeur, Université Grenoble Alpes
Christophe Gonzales, Professeur, Université Aix Marseille
Pierre-Henri Wuillemin, Maitre de conférence, Sorbonne Université
Régis Lebrun, Senior scientist, Airbus Central Research & Technology

2018-2022 Publications