18 citations · 28 across the 19 of their papers we have counts for
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A simple proof of Pitman-Yor's Chinese restaurant process from its stick-breaking representation
Caroline Lawless, Julyan Arbel
For a long time, the Dirichlet process has been the gold standard discrete random measure in Bayesian nonparametrics. The Pitman--Yor process provides a simple and mathematically t…
Understanding Priors in Bayesian Neural Networks at the Unit Level
Mariia Vladimirova, Jakob Verbeek, Pablo Mesejo +1
We investigate deep Bayesian neural networks with Gaussian weight priors and a class of ReLU-like nonlinearities. Bayesian neural networks with Gaussian priors are well known to in…
Dirichlet process mixtures under affine transformations of the data
Julyan Arbel, Riccardo Corradin, Bernardo Nipoti
Location-scale Dirichlet process mixtures of Gaussians (DPM-G) have proved extremely useful in dealing with density estimation and clustering problems in a wide range of domains. M…
Stochastic approximations to the Pitman-Yor process
Julyan Arbel, Pierpaolo De Blasi, Igor Pruenster
In this paper we consider approximations to the popular Pitman-Yor process obtained by truncating the stick-breaking representation. The truncation is determined by a random stoppi…