A Wasserstein index of dependence for random measures

M Catalano, H Lavenant, A Lijoi… - Journal of the American …, 2024 - Taylor & Francis
Optimal transport and Wasserstein distances are flourishing in many scientific fields as a
means for comparing and connecting random structures. Here we pioneer the use of an …

A Finite-Infinite Shared Atoms Nested Model for the Bayesian Analysis of Large Grouped Data Sets

L D'Angelo, F Denti - Bayesian Analysis, 2024 - projecteuclid.org
The use of hierarchical mixture priors with shared atoms has recently flourished in the
Bayesian literature for partially exchangeable data. Leveraging on nested levels of mixtures …

Bayesian dependent mixture models: A predictive comparison and survey

S Wade, V Inacio, S Petrone - arXiv preprint arXiv:2307.16298, 2023 - arxiv.org
For exchangeable data, mixture models are an extremely useful tool for density estimation
due to their attractive balance between smoothness and flexibility. When additional …

Childhood obesity in Singapore: A Bayesian nonparametric approach

M Beraha, A Guglielmi, FA Quintana… - Statistical …, 2023 - journals.sagepub.com
Overweight and obesity in adults are known to be associated with increased risk of
metabolic and cardiovascular diseases. Obesity has now reached epidemic proportions …

Functional concurrent regression mixture models using spiked Ewens-Pitman attraction priors

M Liang, MD Koslovsky, ET Hébert… - Bayesian …, 2024 - projecteuclid.org
Functional Concurrent Regression Mixture Models Using Spiked Ewens-Pitman Attraction Priors
Page 1 Bayesian Analysis (2024) 19, Number 4, pp. 1067–1095 Functional Concurrent …

A unified approach to hierarchical random measures

M Catalano, C Del Sole, A Lijoi, I Prünster - Sankhya A, 2023 - Springer
Hierarchical models enjoy great popularity due to their ability to handle heterogeneous
groups of observations by leveraging on their underlying common structure. In a Bayesian …

Posterior asymptotics for boosted hierarchical Dirichlet process mixtures

M Catalano, P De Blasi, A Lijoi, I Prünster - Journal of Machine Learning …, 2022 - jmlr.org
Bayesian hierarchical models are powerful tools for learning common latent features across
multiple data sources. The Hierarchical Dirichlet Process (HDP) is invoked when the number …

Ranked masses in two-parameter Fleming–Viot diffusions

N Forman, S Pal, D Rizzolo, M Winkel - Transactions of the American …, 2023 - ams.org
Previous work constructed Fleming–Viot-type measure-valued diffusions (and diffusions on
a space of interval partitions of the unit interval $[0, 1] $) that are stationary with respect to …

Nonparametric priors with full-range borrowing of information

F Ascolani, B Franzolini, A Lijoi, I Prünster - Biometrika, 2024 - academic.oup.com
Modelling of the dependence structure across heterogeneous data is crucial for Bayesian
inference, since it directly impacts the borrowing of information. Despite extensive advances …

Identifying Brexit voting patterns in the British house of commons: an analysis based on Bayesian mixture models with flexible concomitant covariate effects

M Berrettini, G Galimberti, S Ranciati… - Journal of the Royal …, 2024 - academic.oup.com
The results of some divisions related to Brexit held in the House of Commons are
investigated. In particular, a new class of mixture models with concomitant covariates is …