Sub Additive Measures of Relative Information and Inaccuracy.
Sulle entropie idempotenti a traccia shannoniana
Sur les informations conditionnelles sans F-composabilité.
In the framework of Generalized Information Theory of J. Kampé de Fériet, a system of axioms for the conditional information is studied without assuming additivity.
Sur les sous-monoïdes très purs
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...
Une mesure d'information caractérisant la loi de Poisson
Universal parallel composition laws and their representations.
Violations of the Ingleton inequality and revising the four-atom conjecture
The entropy region is a fundamental object of study in mathematics, statistics, and information theory. On the one hand, it involves pure group theory, governing inequalities satisfied by subgroup indices, whereas on the other hand, computing network coding capacities amounts to a convex optimization over this region. In the case of four random variables, the points in the region that satisfy the Ingleton inequality (corresponding to abelian groups and to linear network codes) form a well-understood...
-admissible simplifications of the dependence structure of a set of random variables
Информация в схеме с аддитивным шумом
К проблемам семантической информации
Конструктивизация понятий -энтропии и -емкости
Методы редукции изменений в гильбертовых пространствах
Некоторые математические вопросы теории передачи информации
Проблема информационной синонимии