Clustering Milky Way's Globulars: a Bayesian Nonparametric Approach

Julyan Arbel 1
1 MISTIS - Modelling and Inference of Complex and Structured Stochastic Systems
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : This chapter presents a Bayesian nonparametric approach to clustering , which is particularly relevant when the number of components in the clustering is unknown. The approach is illustrated with the Milky Way's glob-ulars, that are clouds of stars orbiting in our galaxy. Clustering globulars is key for better understanding the Milky Way's history. We define the Dirichlet process and illustrate some alternative definitions such as the Chinese restaurant process, the Pólya Urn, the Ewens sampling formula, the stick-breaking representation through some simple R code. The Dirichlet process mixture model is presented, as well as the R package BNPmix implementing Markov chain Monte Carlo sampling. Inference for the clustering is done with the variation of information loss function.
Type de document :
Chapitre d'ouvrage
Statistics for Astrophysics: Bayesian Methodology, pp.113-137, 2018
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01950656
Contributeur : Julyan Arbel <>
Soumis le : mardi 11 décembre 2018 - 03:32:15
Dernière modification le : jeudi 27 décembre 2018 - 13:28:54

Fichier

chapter_BNP.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01950656, version 1

Collections

Citation

Julyan Arbel. Clustering Milky Way's Globulars: a Bayesian Nonparametric Approach. Statistics for Astrophysics: Bayesian Methodology, pp.113-137, 2018. 〈hal-01950656〉

Partager

Métriques

Consultations de la notice

35

Téléchargements de fichiers

19