Estimation of discrete partially directed acyclic graphical models in multitype branching processes

Fernique Pierre, Durand Jean-Baptiste, Guédon Yann. 2014. Estimation of discrete partially directed acyclic graphical models in multitype branching processes. In : Proceedings of COMPSTAT 2014, August 19-22, 2014, Geneva, Switzerland. Manfred Gilli, Gil Gonzalez-Rodriguez, Alicia Nieto-Reyes (eds.) - Genève : Université de Genève, 2014. s.l. : s.n., 561-568. ISBN 978-2-8399-1347-8 International Conference on Computational Statistics. 21, Genève, Suisse, 19 Août 2014/22 Août 2014.

Résumé : We address the inference of discrete-state models for tree-structured data. Our aims is to introduce parametric multitype branching processes that can be efficiently estimated on the basis of data of limited size. Each generation distribution within this macroscopic model is modeled by a partially directed acyclic graphical model. The estimation of each graphical model relies on a greedy algorithm for graph selection. We present an algorithm for discrete graphical model which is applied on multivariate count data. The proposed modeling approach is illustrated on plant architecture datasets.

Classification Agris : U10 - Informatique, mathématiques et statistiques
F50 - Anatomie et morphologie des plantes
F62 - Physiologie végétale - Croissance et développement

Auteurs et affiliations

• Fernique Pierre, CIRAD-BIOS-UMR AGAP (FRA)
• Durand Jean-Baptiste, INRIA (FRA) ORCID: 0000-0001-6800-1438
• Guédon Yann, CIRAD-BIOS-UMR AGAP (FRA)

Source : Cirad - Agritrop (https://agritrop.cirad.fr/574649/)

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