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A graphical framework for representing the semantics of asymmetric models
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Anderson, Paul E. and Smith, J. Q. (2005) A graphical framework for representing the semantics of asymmetric models. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2005 (No.12).
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Official URL: http://www2.warwick.ac.uk/fac/sci/statistics/crism...
Abstract
Bayesian networks (BNs) are useful for coding conditional independence statements, especially in discrete symmetric models. On
the other hand, event trees (ETs) are convenient for representing asymmetric structure
and how situations unfold. In this paper
we report the development of a new graphical framework called the chain event graph
(CEG). For symmetric models, all conditional independencies in a BN can be expressed through the topology of a CEG. However, unlike the BN, the CEG is equally appropriate for representing conditional independencies in asymmetric systems and does
not need dependent variables to be specified
in advance. As with the BN, it also provides
a framework for learning relevant conditional
probabilities. Furthermore, being a function
of an ET, the CEG is a more
exible way of
representing various causal hypotheses than
the BN. This new framework is illustrated
throughout by a biological regulatory network: the tryptophan metabolic pathway in
the bacterium E. coli.
Item Type: | Working or Discussion Paper (Working Paper) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Library of Congress Subject Headings (LCSH): | Statistics -- Graphic methods, Biological control systems -- Mathematical models | ||||
Series Name: | Working papers | ||||
Publisher: | University of Warwick. Centre for Research in Statistical Methodology | ||||
Place of Publication: | Coventry | ||||
Official Date: | 2005 | ||||
Dates: |
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Volume: | Vol.2005 | ||||
Number: | No.12 | ||||
Number of Pages: | 7 | ||||
Status: | Not Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Date of first compliant deposit: | 1 August 2016 | ||||
Date of first compliant Open Access: | 1 August 2016 | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC), Biotechnology and Biological Sciences Research Council (Great Britain) (BBSRC) |
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