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Title: On computations with causal compositional models (English)
Author: Bína, Vladislav
Author: Jiroušek, Radim
Language: English
Journal: Kybernetika
ISSN: 0023-5954 (print)
ISSN: 1805-949X (online)
Volume: 51
Issue: 3
Year: 2015
Pages: 525-539
Summary lang: English
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Category: math
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Summary: The knowledge of causal relations provides a possibility to perform predictions and helps to decide about the most reasonable actions aiming at the desired objectives. Although the causal reasoning appears to be natural for the human thinking, most of the traditional statistical methods fail to address this issue. One of the well-known methodologies correctly representing the relations of cause and effect is Pearl's causality approach. The paper brings an alternative, purely algebraic methodology of causal compositional models. It presents the properties of operator of composition, on which a general methodology is based that makes it possible to evaluate the causal effects of some external action. The proposed methodology is applied to four illustrative examples. They illustrate that the effect of intervention can in some cases be evaluated even when the model contains latent (unobservable) variables. (English)
Keyword: causal model
Keyword: conditioning
Keyword: intervention
Keyword: extension
MSC: 62H99
MSC: 65C50
MSC: 68T30
MSC: 97K50
idZBL: Zbl 06487094
idMR: MR3391683
DOI: 10.14736/kyb-2015-3-0525
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Date available: 2015-09-01T09:18:49Z
Last updated: 2016-01-03
Stable URL: http://hdl.handle.net/10338.dmlcz/144384
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