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原文連結
論文資訊
- 類型：已發表論文
- 日期：2015-04-16
摘要
A directed acyclic graph (DAG) partially represents the conditional independence structure among observations of a system if the local 馬可夫 condition holds, that is if every variable is independent of its non-descendants given its parents. In general, there is a whole class of DAGs that represents a given set of conditional independence relations. We are interested in properties of this class that can be derived from observations of a subsystem only. To this end, we prove an 資訊-theoretic 不平等 that allows for the inference of common ancestors of observed parts in any DAG representing some unknown larger system. More explicitly, we show that a large amount of dependence in terms of mutual 資訊 among the observations implies the existence of a common ancestor that distributes this 資訊. Within the
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