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A causal algebra for dynamic flow networks

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Smith, J. Q., 1953- and Figueroa, Liliana J. (2007) A causal algebra for dynamic flow networks. In: 2nd European Workshop on Probabilistic Graphical Models, Leiden, NETHERLANDS, OCT 04-08, 2004. Published in: Advances in Probabilistic Graphical Models, 213 pp. 39-54.

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Abstract

Over the past decades there has been considerable research to develop various dynamic forms of Bayesian Networks (BNs) and a parallel development in the field of causal BNs. However, linking these two fields is subtle. In this paper we demonstrate that, for classes of models exhibiting mass balance, it is necessary to first redefine the stochastic variables in a process using a decomposition which gives rise to a class of particular Dynamic Linear Models. These models on the transformed space can be interpreted as a dynamic form of a causal BN. A manipulation algebra is then defined to enable the prediction of effects of interventions that would not have been obtainable using the current Causal algebras. The necessary deconstruction of the processes and the algorithms to determine the effects of manipulations on the original process are demonstrated using a simple example of a supply chain in a hypothetical product market.

Item Type: Conference Item (UNSPECIFIED)
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Q Science > QA Mathematics
Series Name: STUDIES IN FUZZINESS AND SOFT COMPUTING
Journal or Publication Title: Advances in Probabilistic Graphical Models
Publisher: SPRINGER-VERLAG BERLIN
ISBN: 978-3-540-68994-2
ISSN: 1434-9922
Editor: Lucas, P and Gamez, JA and Salmeron, A
Date: 2007
Volume: 213
Number of Pages: 16
Page Range: pp. 39-54
Identification Number: 10.1007/978-3-540-68996-6_2
Publication Status: Published
Title of Event: 2nd European Workshop on Probabilistic Graphical Models
Location of Event: Leiden, NETHERLANDS
Date(s) of Event: OCT 04-08, 2004
URI: http://wrap.warwick.ac.uk/id/eprint/30972

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