Application des mathématiques polonaises et des capacités à l'étude de l'information sans probabilité
Axiomatic characterizations of the measures of inaccuracy and information.
Basic equations for source coding with side information at the decoder and encoder
Bounds on guessing numbers and secret sharing combining information theory methods
This paper is on developing some computer-assisted proof methods involving non-classical inequalities for Shannon entropy. Two areas of the applications of information inequalities are studied: Secret sharing schemes and hat guessing games. In the former a random secret value is transformed into shares distributed among several participants in such a way that only the qualified groups of participants can recover the secret value. In the latter each participant is assigned a hat colour and they try...
Bounds on the rate-distortion function for geometric measure of distortion
Capacity bounds for the CDMA system and a neural network: a moderate deviations approach
We study two systems that are based on sums of weakly dependent Bernoulli random variables that take values ± 1 with equal probabilities. We show that already one step of the so-called soft decision parallel interference cancellation, used in the third generation of mobile telecommunication CDMA, is able to considerably increase the number of users such a system can host. We also consider a variant of the well-known Hopfield model of neural networks. We show that this variant proposed by Amari...
Chronique sur la théorie de l'information
Chronique sur la théorie de l'information
Comments on some analytic inequalities.
Determinant of Some Matrices of Field Elements
Here, we present determinants of some square matrices of field elements. First, the determinat of 2 * 2 matrix is shown. Secondly, the determinants of zero matrix and unit matrix are shown, which are equal to 0 in the field and 1 in the field respectively. Thirdly, the determinant of diagonal matrix is shown, which is a product of all diagonal elements of the matrix. At the end, we prove that the determinant of a matrix is the same as the determinant of its transpose.
Distance définie par une application monotone sur un treillis
Energía informacional útil.
En este trabajo se adapta la medida de Información dada por Onicescu en 1966, denominada Energía Informacional, a situaciones en las cuales existe una función de utilidad definida sobre los resultados del experimento; a esa medida de Información la denominaremos Energía Informacional Útil.
Entropie, paramètres thermodynamiques, information associée aux événements et aux expériences
Entropies, dimensions et représentation d'observations
Entropies of vague information sources
The information-theoretical entropy is an effective measure of uncertainty connected with an information source. Its transfer from the classical probabilistic information theory models to the fuzzy set theoretical environment is desirable and significant attempts were realized in the existing literature. Nevertheless, there are some open topics for analysis in the suggested models of fuzzy entropy - the main of them regard the formal aspects of the fundamental concepts. Namely their rather additive...
Entropy lower bounds related to a problem of universal coding and prediction.
∈-entropy of sets of probability distribution functions and their Fourier-Stieltjes transforms
Entropy of Type (a, ß) and Other Generalized Measures in Information Theory.
Ergodic behavior of graph entropy.
Ergodic theory, entropy, and coding problems of information theory