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arXiv 1302.6808cs.AIcs.LGstat.ML
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学习高斯网络

Learning Gaussian Networks

Dan Geiger, David Heckerman

摘要:

我们描述了学习贝叶斯网络的用户知识和统计数据的组合算法。该算法有两个组成部分:评分度量和搜索过程。评分度量采用网络结构、统计数据和用户的先验知识,并返回与给定数据的网络结构的后验概率成比例的分数。搜索过程生成网络,用于通过评分度量进行评估。以前的工作集中在度量域只包含离散变量,假设数据代表一个多项式样本。在本文中,我们扩展这项工作,开发评分指标域包含所有连续变量或离散和连续变量的混合物,假设连续数据是从多元正态分布采样。我们的工作扩展了传统的统计方法,确定消失的回归系数,我们确定了两个重要的假设,称为事件等价性和参数模块化,当结合允许从一个单一的先验贝叶斯网络由用户指定的多元正态参数的先验分布的建设。

英文摘要:

We describe algorithms for learning Bayesian networks from a combination of user knowledge and statistical data. The algorithms have two components: a scoring metric and a search procedure. The scoring metric takes a network structure, statistical data, and a user's prior knowledge, and returns a score proportional to the posterior probability of the network structure given the data. The search procedure generates networks for evaluation by the scoring metric. Previous work has concentrated on metrics for domains containing only discrete variables, under the assumption that data represents a multinomial sample. In this paper, we extend this work, developing scoring metrics for domains containing all continuous variables or a mixture of discrete and continuous variables, under the assumption that continuous data is sampled from a multivariate normal distribution. Our work extends traditional statistical approaches for identifying vanishing regression coefficients in that we identify two important assumptions, called event equivalence and parameter modularity, that when combined allow the construction of prior distributions for multivariate normal parameters from a single prior Bayesian network specified by a user.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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