Sparse graphs using exchangeable random measures

F Caron, EB Fox - Journal of the Royal Statistical Society Series …, 2017 - academic.oup.com
Statistical network modelling has focused on representing the graph as a discrete structure,
namely the adjacency matrix. When assuming exchangeability of this array—which can aid …

[HTML][HTML] Latent nested nonparametric priors (with discussion)

F Camerlenghi, DB Dunson, A Lijoi, I Prünster… - Bayesian …, 2019 - ncbi.nlm.nih.gov
Discrete random structures are important tools in Bayesian nonparametrics and the resulting
models have proven effective in density estimation, clustering, topic modeling and …

Nonparametric Bayesian inference in applications

P Müeller, FA Quintana, G Page - Statistical Methods & Applications, 2018 - Springer
Nonparametric Bayesian (BNP) inference is concerned with inference for infinite
dimensional parameters, including unknown distributions, families of distributions, random …

Truncated random measures

T Campbell, JH Huggins, JP How, T Broderick - 2019 - projecteuclid.org
Truncated random measures Page 1 Bernoulli 25(2), 2019, 1256–1288 https://doi.org/10.3150/18-BEJ1020
Truncated random measures TREVOR CAMPBELL1,*, JONATHAN H. HUGGINS1 …

A moment-matching Ferguson & Klass algorithm

J Arbel, I Prünster - Statistics and Computing, 2017 - Springer
Completely random measures (CRM) represent the key building block of a wide variety of
popular stochastic models and play a pivotal role in modern Bayesian Nonparametrics. The …

Posterior sampling from -approximation of normalized completely random measure mixtures

R Argiento, I Bianchini, A Guglielmi - 2016 - projecteuclid.org
This paper adopts a Bayesian nonparametric mixture model where the mixing distribution
belongs to the wide class of normalized homogeneous completely random measures. We …

Personalized treatment selection via product partition models with covariates

M Pedone, R Argiento, FC Stingo - Biometrics, 2024 - academic.oup.com
Precision medicine is an approach for disease treatment that defines treatment strategies
based on the individual characteristics of the patients. Motivated by an open problem in …

Low information omnibus (LIO) priors for Dirichlet process mixture models

Y Shi, M Martens, A Banerjee, P Laud - 2019 - projecteuclid.org
Low Information Omnibus (LIO) Priors for Dirichlet Process Mixture Models Page 1 Bayesian
Analysis (2019) 14, Number 3, pp. 677–702 Low Information Omnibus (LIO) Priors for Dirichlet …

Truncated Poisson–Dirichlet approximation for Dirichlet process hierarchical models

J Zhang, A Dassios - Statistics and Computing, 2023 - Springer
The Dirichlet process was introduced by Ferguson in 1973 to use with Bayesian
nonparametric inference problems. A lot of work has been done based on the Dirichlet …

Clustering blood donors via mixtures of product partition models with covariates

R Argiento, R Corradin, A Guglielmi, E Lanzarone - Biometrics, 2024 - academic.oup.com
Motivated by the problem of accurately predicting gap times between successive blood
donations, we present here a general class of Bayesian nonparametric models for …