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贝叶斯学习中基于贝叶斯判别分析的先验分布选取 被引量:6

Choosing a Suitable Prior for Bayesian Learning Based on Bayesian Discrimination
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摘要 In this paper we propose an experimental method to choose a prior distribution. Different from many re-searchers, who offered lots of principles that separated from sample information, we consider it a Bayesian discrimina-tion problem combining with the sample information. We introduce the concept of Posterior belief about prior distri-butions. With the well-known Bayes theorem we give out a formula to calculate it and propose a method to discrirni-nate a prior between prior distributions-- Highest Posterior Belief (HPB). We also show that under certain condition,the HPB method is identical with the ML-I method. In this paper we propose an experimental method to choose a prior distribution. Different from many researchers, who offered lots of principles that separated from sample information, we consider it a Bayesian discrimination problem combining with the sample information. We introduce the concept of Posterior belief about prior distributions. With the well-known Bayes theorem we give out a formula to calculate it and propose a method to discriminate a prior between prior distributions- Highest Posterior Belief (HPB). We also show that under certain condition, the HPB method is identical with the ML-II method.
出处 《计算机科学》 CSCD 北大核心 2003年第8期134-135,共2页 Computer Science
基金 智能技术与系统国家重点实验室开放课题(99002)
关键词 贝叶斯学习 贝叶斯判别分析 先验分布 概率 先验信念比 Machine learning, Prior distribution, Bayesian discrimination, Prior belief, Posterior belief
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  • 1张尧庭,贝叶斯统计推断,1991年

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