162 citations · 621 across the 32 of their papers we have counts for
15 papers · 1 filter
Ferguson's Dirichlet Process Breakthrough: A Lasting Legacy
Antonio Lijoi, Igor Pruenster, Junyi Zhang
Ferguson's 1973 introduction of the Dirichlet process marked a breakthrough in Bayesian nonparametric statistics. For the first time, a prior on the space of probability measures f…
Markov Stick-breaking Processes
María F. Gil-Leyva, Antonio Lijoi, Ramsés H. Mena +1
Stick-breaking has a long history and is one of the most popular procedures for constructing random discrete distributions in Statistics and Machine Learning. In particular, due to…
Multivariate Species Sampling Models
Beatrice Franzolini, Antonio Lijoi, Igor Prünster +1
Species sampling processes have long served as the fundamental framework for modeling random discrete distributions and exchangeable sequences. However, data arising from distinct…
Clustering consistency with Dirichlet process mixtures
Filippo Ascolani, Antonio Lijoi, Giovanni Rebaudo +1
Dirichlet process mixtures are flexible non-parametric models, particularly suited to density estimation and probabilistic clustering. In this work we study the posterior distribut…
Smoothing distributions for conditional Fleming-Viot and Dawson-Watanabe diffusions
Filippo Ascolani, Antonio Lijoi, Matteo Ruggiero
We study the distribution of the unobserved states of two measure-valued diffusions of Fleming-Viot and Dawson-Watanabe type, conditional on observations from the underlying popula…
A Wasserstein index of dependence for random measures
Marta Catalano, Hugo Lavenant, Antonio Lijoi +1
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 optim…