A vector of Dirichlet processes
نویسندگان
چکیده
منابع مشابه
Dirichlet Processes
Introduction: A Dirichlet process (DP) is a distribution over probability distributions. We generally think of distributions as defined over numbers of some sort (real numbers, non-negative integers etc.), so at first it may seem a little exotic to talk about distributions over distributions. If you feel that way at this point, one obvious but very reassuring fact that we would like to point ou...
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Figure 1: Bayesian Mixture Model For a Bayesian Mixture Model as shown in figure 1, as k →∞, we shall have G = ∑∞ c=1 πcδφc , where all the φc are i.i.d. samples from G0, while the random sequence {πc}c=1 sum up to one, shall be constructed by the “Stick Breaking” process [3]. Suppose there is a stick with length 1. Let βc ∼ Beta(1, α) for c = 1, 2, 3, . . . , and regard them as fractions we ta...
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Statistical models for manifold-valued data permit capturing the intrinsic nature of the curved spaces in which the data lie and have been a topic of research for several decades. Typically, these formulations use geodesic curves and distances defined locally for most cases - this makes it hard to design parametric models globally on smooth manifolds. Thus, most (manifold specific) parametric m...
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Dirichlet processes (DP) are widely applied in Bayesian nonparametric modeling. However, in their basic form they do not directly integrate dependency information among data arising from space and time. In this paper, we propose location dependent Dirichlet processes (LDDP) which incorporate nonparametric Gaussian processes in the DP modeling framework to model such dependencies. We develop the...
متن کاملBayesian Statistics: Dirichlet Processes
Introduction: A Dirichlet process (DP) is a distribution over probability distributions. We generally think of distributions as defined over numbers of some sort (real numbers, non-negative integers etc.), so at first it may seem a little exotic to talk about distributions over distributions. If you feel that way at this point, one obvious but very reassuring fact that we would like to point ou...
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ژورنال
عنوان ژورنال: Electronic Journal of Statistics
سال: 2013
ISSN: 1935-7524
DOI: 10.1214/12-ejs764