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Information Theoretic Causal Effect Quantification
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)
 
ID 4524175
Author(s) Wieczorek, Aleksander; Roth, Volker
Author(s) at UniBasel Roth, Volker
Wieczorek, Aleksander
Year 2019
Title Information Theoretic Causal Effect Quantification
Journal Entropy
Volume 21
Number 10
Pages / Article-Number 975
Keywords directed information; conditional mutual information; directed mutual information; confounding; causal effect; back-door criterion; average treatment effect; potential outcomes; time series; chain graph
Mesh terms Science & TechnologyPhysical SciencesPhysics, MultidisciplinaryPhysics
Abstract Modelling causal relationships has become popular across various disciplines. Most common frameworks for causality are the Pearlian causal directed acyclic graphs (DAGs) and the Neyman-Rubin potential outcome framework. In this paper, we propose an information theoretic framework for causal effect quantification. To this end, we formulate a two step causal deduction procedure in the Pearl and Rubin frameworks and introduce its equivalent which uses information theoretic terms only. The first step of the procedure consists of ensuring no confounding or finding an adjustment set with directed information. In the second step, the causal effect is quantified. We subsequently unify previous definitions of directed information present in the literature and clarify the confusion surrounding them. We also motivate using chain graphs for directed information in time series and extend our approach to chain graphs. The proposed approach serves as a translation between causality modelling and information theory.
Publisher MDPI
ISSN/ISBN 1099-4300
URL https://www.mdpi.com/1099-4300/21/10/975/htm
edoc-URL https://edoc.unibas.ch/73940/
Full Text on edoc No
Digital Object Identifier DOI 10.3390/e21100975
ISI-Number 000495094000057
Document type (ISI) Article
 
   

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10/05/2024