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  Exploring the causal order of binary variables via exponential hierarchies of Markov kernels

Sun, X., & Janzing, D. (2007). Exploring the causal order of binary variables via exponential hierarchies of Markov kernels. In M. Verleysen (Ed.), Advances in computational intelligence and learning: 15th European Symposium on Artificial Neural Networks: ESANN 2007 (pp. 465-470). Evere, Belgium: D-Side.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-CE1D-4 Version Permalink: https://hdl.handle.net/21.11116/0000-0003-E32E-A
Genre: Conference Paper

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 Creators:
Sun, X1, 2, Author           
Janzing, D, Author           
Affiliations:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              
2Max Planck Institute for Biological Cybernetics, Max Planck Society, Spemannstrasse 38, 72076 Tübingen, DE, ou_1497794              

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 Abstract: We propose a new algorithm for estimating the causal structure that underlies the observed dependence among n (ngt;=4) binary variables X_1,...,X_n. Our inference principle states that the factorization of the joint probability into conditional probabilities for X_j given X_1,...,X_j-1 often leads to simpler terms if the order of variables is compatible with the directed acyclic graph representing the causal structure. We study joint measures of OR/AND gates and show that the complexity of the conditional probabilities (the so-called Markov kernels), defined by a hierarchy of exponential models, depends on the order of the variables. Some toy and real-data experiments support our inference rule.

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 Dates: 2007-04
 Publication Status: Issued
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 Rev. Type: -
 Identifiers: BibTex Citekey: 4456
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Title: 15th European Symposium on Artificial Neural Networks (ESANN 2007)
Place of Event: Brugge, Belgium
Start-/End Date: 2007-04-25 - 2007-04-27

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Title: Advances in computational intelligence and learning: 15th European Symposium on Artificial Neural Networks: ESANN 2007
Source Genre: Proceedings
 Creator(s):
Verleysen, M, Editor
Affiliations:
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Publ. Info: Evere, Belgium : D-Side
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 465 - 470 Identifier: ISBN: 2-930307-07-2