Probabilistic Directed Acyclic Graphs and Their Entropies
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Probabilistic structures on the representations allow for expressing the variation of natural patterns. In this chapter the structure imposed through probabilistic directed graphs is studied. The essential probabilistic structure enforced through the directedness of the graphs is sites are conditionally independent of their nondescendants given their parents. The entropies and combinatorics of these processes are examined as well. Focus is given to the classical Markov chain and the branching process examples to illustrate the fundamentals of variability descriptions through probability and entropy.
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2013 ◽
Vol 2013
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pp. 1-11
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2012 ◽
Vol 35
(10)
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pp. 2194
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