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A constructive definition of dirichlet priors
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The article was published on 1991-01-01 and is currently open access. It has received 1560 citations till now. The article focuses on the topics: Hierarchical Dirichlet process & Constructive.read more
Citations
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Book ChapterDOI
Tractography Segmentation Using a Hierarchical Dirichlet Processes Mixture Model
TL;DR: A new nonparametric Bayesian framework to cluster white matter fiber tracts into bundles using a hierarchical Dirichlet processes mixture (HDPM) model that does not require computing pairwise distances between fibers and can cluster a huge set of fibers across multiple subjects without subsampling.
Journal ArticleDOI
Multilingual part-of-speech tagging: two unsupervised approaches
TL;DR: This work considers two ways of applying this intuition to the problem of unsupervised part-of-speech tagging: a model that directly merges tag structures for a pair of languages into a single sequence and a second model which instead incorporates multilingual context using latent variables.
Journal ArticleDOI
Bayesian Semiparametric Regression for Median Residual Life
TL;DR: In this paper, a semi-parametric median residual life regression model is proposed for small cell lung cancer patients with moderate censoring, which is based on Dirichlet process mixing.
Journal ArticleDOI
An iterative Bayesian filtering framework for fast and automated calibration of DEM models
TL;DR: In this article, the authors proposed an iterative Bayesian filter for quantifying parameter uncertainties and their propagation across various scales in granular materials, which can provide a deeper understanding of the correlations among micromechanical parameters and between the micro- and macro-parameters/quantities of interest.
Journal ArticleDOI
Variational learning of a Dirichlet process of generalized Dirichlet distributions for simultaneous clustering and feature selection
Wentao Fan,Nizar Bouguila +1 more
TL;DR: The experimental results reported for both synthetic data and real-world challenging applications involving image categorization, automatic semantic annotation and retrieval show the ability of the approach to provide accurate models by distinguishing between relevant and irrelevant features without over- or under-fitting the data.
References
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Journal ArticleDOI
A Bayesian Analysis of Some Nonparametric Problems
TL;DR: In this article, a class of prior distributions, called Dirichlet process priors, is proposed for nonparametric problems, for which treatment of many non-parametric statistical problems may be carried out, yielding results that are comparable to the classical theory.
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Ferguson Distributions Via Polya Urn Schemes
TL;DR: In this article, it was shown that a random probability measure P* on X has a Ferguson distribution with parameter p if for every finite partition (B1, *. *, B) of X, the vector p*(B,), * * *, p *(B) has a Dirichlet distribution with parameters (Bj), *--, cp(B,) (when p(B), = 0, this means p*) = 0 with probability 1).
Journal ArticleDOI
Implicit renewal theory and tails of solutions of random equations
TL;DR: For the solutions of certain random equations, or equivalently the stationary solutions of the random recurrences, the distribution tails are evaluated by renewal-theoretic methods as mentioned in this paper.
Book ChapterDOI
Bayesian density estimation by mixtures of normal distributions
TL;DR: In this article, a mixture of a countable number of normal distributions is used to estimate a density f(x) on the real line, which is then used for kernel estimation.
Journal ArticleDOI
On the Asymptotic Behavior of Bayes' Estimates in the Discrete Case
TL;DR: In this article, it was shown that the posterior probability converges to point mass at the true parameter value among almost all sample sequences (for short, the posterior is consistent; see Definition 1) exactly for parameter values in the topological carrier of the prior.