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分层Dirichlet过程及其应用综述

周建英 王飞跃 曾大军

自动化学报2011,Vol.37Issue(4):389-407,19.
自动化学报2011,Vol.37Issue(4):389-407,19.DOI:10.3724/SP.J.1004.2011.00389

分层Dirichlet过程及其应用综述

Hierarchical Dirichlet Processes and Their Applications: A Survey

周建英 1王飞跃 1曾大军1

作者信息

  • 1. 中国科学院自动化研究所复杂系统智能控制与管理国家重点实验室(筹),北京100190
  • 折叠

摘要

Abstract

Dirichlet processes are a type of stochastic processes widely used in nonparametric Bayesian models, especially in research that involves probabilistic graphical models. Over the past few years, significant effort has been made in the study of such processes, mainly due to their modeling flexibility and wide applicability. For instance, Dirichlet processes are capable of learning the number of clusters as well as the corresponding parameters of each cluster whereas other clustering or classification models usually are not able to. In this survey, we first introduce the definitions of Dirichlet processes. We then present Dirichlet process mixture models and their applications, and discuss in detail hierarchical Dirichlet processes (HDP), their roles in constructing other models, and examples of related applications in many important fields. Finally,we summarize recent developments in the study and applications of hierarchical Dirichlet processes and offer our remarks on future research.

关键词

Dirichlet过程/概率图模型/聚类/分层Dirichlet过程

Key words

Dirichlet processes/ probabilistic graphical models/ clustering/ hierarchical Dirichlet processes (HDP)

引用本文复制引用

周建英,王飞跃,曾大军..分层Dirichlet过程及其应用综述[J].自动化学报,2011,37(4):389-407,19.

基金项目

国家自然科学基金(70890084,60921061,71025001)资助 (70890084,60921061,71025001)

自动化学报

OA北大核心CSCDCSTPCD

0254-4156

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