Abstract

AbstractA solution of the following problem is presented. Given a known model represented by a discrete probability distribution q¯ = (q1, q2, … , qn), and information Δ, a new improved model represented by a probability distribution p¯ is found which is associated with q¯ such that Δ = D( p¯|| q¯), where D( p¯|| q¯) represents the relative information between the two probability distributions. The improved probability distributions p¯ have been chosen to be those which become local minima of the discrete entropy. The fundamental properties of such models and natural effects how to use information are studied.

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