Authors |
|
Abstract |
It is well known that there may be many causal explanations that are consistent with a given set of data. Recent work has been done to represent the common aspects of these explanations into one representation. In this paper, we address what is less well known: how do the relationships common to every causal explanation among the observed variables of some DAG process change in the presence of latent variables? Ancestral graphs provide a class of graphs that can encode conditional independence relations that arise in DAG models with latent and selection variables. In this paper we present a set of orientation rules that construct the Markov equivalence class representative for ancestral graphs, given a member of the equivalence class. These rules are sound and complete. We also show that when the equivalence class includes a DAG, the equivalence class representative is the essential graph for the said DAG.
|
Keywords | No keywords specified (fix it) |
Categories |
No categories specified (categorize this paper) |
Options |
![]() ![]() ![]() ![]() |
Download options
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
A Characterization of Markov Qquivalence Classes for Directed Acyclic Graphs with Latent Variables.Jiji Zhang - unknown
A Transformational Characterization of Markov Equivalence for Directed Acyclic Graphs with Latent Variables.Jiji Zhang & Peter Spirtes - unknown
A Transformational Characterization of Markov Equivalence for Directed Maximal Ancestral Graphs.Jiji Zhang & Peter Spirtes - unknown
A Polynomial Time Algorithm for Determining Dag Equivalence in the Presence of Latent Variables and Selection Bias.Peter Spirtes - unknown
Relating Graphical Frameworks : Undirected, Directed Acyclic and Chain Graph Models.Chris Meek - unknown
A Uniformly Consistent Estimator of Causal Effects Under the K-Triangle-Faithfulness Assumption.Peter Spirtes & Jiji Zhang - unknown
Directed Cyclic Graphs, Conditional Independence, and Non-Recursive Linear Structural Equation Models.Peter Spirtes - unknown
Causal Reasoning with Ancestral Graphical Models.Jiji Zhang - 2008 - Journal of Machine Learning Research 9:1437-1474.
On the Completeness of Orientation Rules for Causal Discovery in the Presence of Latent Confounders and Selection Bias.Jiji Zhang - 2008 - Artificial Intelligence 172 (16-17):1873-1896.
A Transformational Characterization of Markov Equivalence Between DAGs with Latent Variables.Jiji Zhang & Peter Spirtes - unknown
On the Theoretical Limits to Reliable Causal Inference.Benoit Desjardins - 1999 - Dissertation, University of Pittsburgh
Indeterminism and the Causal Markov Condition.Daniel Steel - 2005 - British Journal for the Philosophy of Science 56 (1):3-26.
Analytics
Added to PP index
2016-02-06
Total views
8 ( #953,420 of 2,421,440 )
Recent downloads (6 months)
1 ( #544,098 of 2,421,440 )
2016-02-06
Total views
8 ( #953,420 of 2,421,440 )
Recent downloads (6 months)
1 ( #544,098 of 2,421,440 )
How can I increase my downloads?
Downloads