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  Identifying confounders using additive noise models

Janzing, D., Peters, J., Mooij, J., & Schölkopf, B. (2009). Identifying confounders using additive noise models. In N. Bilmes, A. Ng, & D. McAllester (Eds.), 25th Conference on Uncertainty in Artificial Intelligence (UAI 2009) (pp. 249-257). Corvallis, OR, USA: AUAI Press.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-C481-3 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-F8EB-E
Genre: Conference Paper

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UAI-2009-Janzing.pdf (Any fulltext), 356KB
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https://www.cs.mcgill.ca/~uai2009/ (Table of contents)
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 Creators:
Janzing, D1, 2, Author              
Peters, J1, 2, Author              
Mooij, JM1, 2, Author              
Schölkopf, B1, 2, 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 method for inferring the existence of a latent common cause ("confounder") of two observed random variables. The method assumes that the two effects of the confounder are (possibly nonlinear) functions of the confounder plus independent, additive noise. We discuss under which conditions the model is identifiable (up to an arbitrary reparameterization of the confounder) from the joint distribution of the effects. We state and prove a theoretical result that provides evidence for the conjecture that the model is generically identifiable under suitable technical conditions. In addition, we propose a practical method to estimate the confounder from a finite i.i.d. sample of the effects and illustrate that the method works well on both simulated and real-world data.

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 Dates: 2009-06
 Publication Status: Published in print
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 Table of Contents: -
 Rev. Type: -
 Identifiers: BibTex Citekey: 5903
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Title: 25th Conference on Uncertainty in Artificial Intelligence (UAI 2009)
Place of Event: Montréal, Canada
Start-/End Date: 2009-06-18 - 2009-06-21

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Title: 25th Conference on Uncertainty in Artificial Intelligence (UAI 2009)
Source Genre: Proceedings
 Creator(s):
Bilmes, NJ, Editor
Ng, AY, Editor
McAllester, DA, Editor
Affiliations:
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Publ. Info: Corvallis, OR, USA : AUAI Press
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 249 - 257 Identifier: ISBN: 978-0-9749039-5-8