Bayesian Nonparametric Estimation of a Unimodal Density via Two S-paths 1

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

Semiparametric Bayesian inference for regression models

This paper presents a method for Bayesian inference for the regression parameters in a linear model with independent and identically distributed errors that does not require the specification of a parametric family of densities for the error distribution. This method first selects a nonparametric kernel density estimate of the error distribution which is unimodal and based on the least-squares ...

Kernel Methods for Nonparametric Bayesian Inference of Probability Densities and Point Processes

Nonparametric kernel methods for estimation of probability densities and point process intensities have long been of interest to researchers in statistics and machine learning. Frequentist kernel methods are widely used, but provide only a point estimate of the unknown density. Additionally, in frequentist kernel density methods, it can be difficult to select appropriate kernel parameters. The ...

Nonparametric Density Estimation via Diffusion Mixing

Suppose we are given empirical data and a prior density about the distribution of the data. We wish to construct a nonparametric density estimator that incorporates the prior information. We propose an estimator that allows for the incorporation of prior information in the density estimation procedure within a non-Bayesian framework. The prior density is mixed with the available empirical data ...

Nonparametric Density Estimation: Toward Computational Tractability

Density estimation is a core operation of virtually all probabilistic learning methods (as opposed to discriminative methods). Approaches to density estimation can be divided into two principal classes, parametric methods, such as Bayesian networks, and nonparametric methods such as kernel density estimation and smoothing splines. While neither choice should be universally preferred for all sit...