Separable and Transitive Graphoids

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Citation: Dan Geiger and David Heckerman. (1990) Separable and Transitive Graphoids. In KSL-90-32, 1990.

Publication techreport ( Edit )
type Technical Report
bibtype techreport
Bibtex basics
author Dan Geiger and David Heckerman
title Separable and Transitive Graphoids
number KSL-90-32
institution Knowledge Systems, AI Laboratory
year 1990
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abstract An important step in organizing a large body of knowledge is the grouping of related pieces of information into more or less independent chunks. In constructing large Bayesian networks from expert's judgments, this amounts to identifying the connected components of the network. Asking the expert directly whether variables x and y are connected may be a hard question to answer, since the expert may not have a clear global view of the network topology. However, the query: "does the value of x ever tell you anything about the value of y?" should evoke a more reliable judgment. This paper identifies the class of distributions, called separable, for which the answer to this question can safely be interpreted as an assertion about the connectivity of x and y, and argues that it is reasonable to assume these distributions in the construction of Bayesian networks. Normal and strictly-positive binary distributions are examples of separable distributions.

KSL Technical Report ID: KSL-90-32
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Abstract An important step in organizing a large bo An important step in organizing a large body of knowledge is the grouping of related pieces of information into more or less independent chunks. In constructing large Bayesian networks from expert's judgments, this amounts to identifying the connected components of the network. Asking the expert directly whether variables x and y are connected may be a hard question to answer, since the expert may not have a clear global view of the network topology. However, the query: "does the value of x ever tell you anything about the value of y?" should evoke a more reliable judgment. This paper identifies the class of distributions, called separable, for which the answer to this question can safely be interpreted as an assertion about the connectivity of x and y, and argues that it is reasonable to assume these distributions in the construction of Bayesian networks. Normal and strictly-positive binary distributions are examples of separable distributions. s are examples of separable distributions.
Author Dan Geiger and David Heckerman  +
Bibtype techreport  +
Has author Dan Geiger and David Heckerman  +
Has identifier KSL-90-32  +
Has publishing details 1990  +
Has title Separable and Transitive Graphoids  +
Has where published KSL-90-32  +
Has year 1990  +
Institution Knowledge Systems, AI Laboratory  +
Ksl tr id KSL-90-32  +
Number KSL-90-32  +
Process note YES  +
Title Separable and Transitive Graphoids  +
Year 1990  +
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