The general solution of a functional equation related to the mixed theory of information.
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Gy. Maksa (1981)
Aequationes mathematicae
Li, Tongzhu, Peng, Linyu, Sun, Huafei (2008)
Beiträge zur Algebra und Geometrie
Zhang, Shicheng, Sun, Huafei (2010)
APPS. Applied Sciences
Roland Fischer, Fritz Schweiger (1975)
Manuscripta mathematica
Francesco M. Malvestuto (2013)
Kybernetika
The sum-product algorithm is a well-known procedure for marginalizing an “acyclic” product function whose range is the ground set of a commutative semiring. The algorithm is general enough to include as special cases several classical algorithms developed in information theory and probability theory. We present four results. First, using the sum-product algorithm we show that the variable sets involved in an acyclic factorization satisfy a relation that is a natural generalization of probability-theoretic...
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