منابع مشابه
Location Dependent Dirichlet Processes
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 کاملConstruction of Dependent Dirichlet Processes Based on Poisson Processes Citation
We present a method for constructing dependent Dirichlet processes. The new approach exploits the intrinsic relationship between Dirichlet and Poisson processes in order to create a Markov chain of Dirichlet processes suitable for use as a prior over evolving mixture models. The method allows for the creation, removal, and location variation of component models over time while maintaining the p...
متن کاملConstruction of Dependent Dirichlet Processes based on Poisson Processes
We present a method for constructing dependent Dirichlet processes. The new approach exploits the intrinsic relationship between Dirichlet and Poisson processes in order to create a Markov chain of Dirichlet processes suitable for use as a prior over evolving mixture models. The method allows for the creation, removal, and location variation of component models over time while maintaining the p...
متن کاملSupplementary Document for Construction of Dependent Dirichlet Processes based on Poisson Processes
This document comprises two sections. The first section is a brief introduction of the mathematical background. The second section gives the proof of main theorems presented in the paper. 1 Mathematical Background In this section, we review mathematical concepts and important results that are closely related to the paper. In particular, the emphasis is placed onto Poisson processes, Gamma proce...
متن کاملDirichlet 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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the American Statistical Association
سال: 2006
ISSN: 0162-1459,1537-274X
DOI: 10.1198/016214505000000727