The general solution of a functional equation related to the mixed theory of information.
The geometric structure of the inverse gamma distribution.
The information geometric descriptions of denormalized thermodynamic manifolds.
The Number of Steps in a Finite Jacobi Algorithm.
The sum-product algorithm: algebraic independence and computational aspects
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...