arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1302.3580cs.LGcs.AIstat.ML
收藏

含隐变量有向网络的渐近模型选择

Asymptotic Model Selection for Directed Networks with Hidden Variables

Microsoft Research(微软研究院);Carnegie-Mellon University(卡内基梅隆大学);Technion(以色列理工学院)

Dan Geiger, David Heckerman, Christopher Meek

摘要:

我们扩展贝叶斯信息准则(BIC),一个渐近近似的边际似然,贝叶斯网络的隐变量。这种近似可用于选择给定大样本数据的模型。标准BIC以及我们的扩展根据模型参数的维度来惩罚模型的复杂性。我们认为,具有隐变量的贝叶斯网络的维数是网络的参数和可观测变量的参数之间的转换的雅可比矩阵的秩。我们计算了几个网络的维度,包括带有隐藏根结点的朴素贝叶斯模型。

英文摘要:

We extend the Bayesian Information Criterion (BIC), an asymptotic approximation for the marginal likelihood, to Bayesian networks with hidden variables. This approximation can be used to select models given large samples of data. The standard BIC as well as our extension punishes the complexity of a model according to the dimension of its parameters. We argue that the dimension of a Bayesian network with hidden variables is the rank of the Jacobian matrix of the transformation between the parameters of the network and the parameters of the observable variables. We compute the dimensions of several networks including the naive Bayes model with a hidden root node.

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。

↑