Comparison of Bayesian nonparametric density estimation methods

Categorization as nonparametric Bayesian density estimation 1 Running head: CATEGORIZATION AS NONPARAMETRIC BAYESIAN DENSITY ESTIMATION Categorization as nonparametric Bayesian density estimation

Convergence Rates in Nonparametric Bayesian Density Estimation

We consider Bayesian density estimation for compactly supported densities using Bernstein mixtures of beta-densities equipped with a Dirichlet prior on the distribution function. We derive the rate of convergence for α-smooth densities for 0 < α ≤ 2 and show that a faster rate of convergence can be obtained by using fewer terms in the mixtures than proposed before. The Bayesian procedure adapts...

Nonparametric Functional Data Analysis through Bayesian Density Estimation

In many modern experimental settings, observations are obtained in the form of functions, and interest focuses on inferences on a collection of such functions. Some examples are conductivitytemperature-depth (CTD) data in oceanography, dose-response models in epidemiology and time-course microarray experiments in biology and medicine. In this paper we propose a hierarchical model that allows us...

Bayesian density estimation and model selection using nonparametric hierarchical mixtures

We consider mixtures of parametric densities on the positive reals with a normalized generalized gamma process (Brix, 1999) as mixing measure. This class of mixtures encompasses the Dirichlet process mixture (DPM) model, but it is supposedly more flexible in the detection of clusters in the data. With an almost sure approximation of the posterior distribution of the mixing process we can run a ...

Bayesian Field Theory: Nonparametric Approaches to Density Estimation

Well, someone can decide by themselves what they want to do and need to do but sometimes, that kind of person will need some bayesian field theory nonparametric approaches to density estimation regression classification and inverse quantum problems references. People with open minded will always try to seek for the new things and information from many sources. On the contrary, people with close...