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16 March 2025
 
  » arxiv » 1508.0280

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Learning from Pairwise Marginal Independencies
Johannes Textor ; Alexander Idelberger ; Maciej Liśkiewicz ;
Date 2 Aug 2015
AbstractWe consider graphs that represent pairwise marginal independencies amongst a set of variables (for instance, the zero entries of a covariance matrix for normal data). We characterize the directed acyclic graphs (DAGs) that faithfully explain a given set of independencies, and derive algorithms to efficiently enumerate such structures. Our results map out the space of faithful causal models for a given set of pairwise marginal independence relations. This allows us to show the extent to which causal inference is possible without using conditional independence tests.
Source arXiv, 1508.0280
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