Quantification method of classification processes. Concept of structural -entropy
Quantization Dimension Estimate of Inhomogeneous Self-Similar Measures
We consider an inhomogeneous measure μ with the inhomogeneous part a self-similar measure ν, and show that for a given r ∈ (0,∞) the lower and the upper quantization dimensions of order r of μ are bounded below by the quantization dimension of ν and bounded above by a unique number , related to the temperature function of the thermodynamic formalism that arises in the multifractal analysis of μ.
Quasi-entropy of finite weighted metric spaces
Receiving binary coded spread spectrum signals
Relative entropy and stability of stochastic semigroups
Relative Information Functions and Their Type (a, ß) Generalizations.
Relativistic fuzzy sets. Toward a new approach to subjectivity in human systems
Remarks on the Entropy Equation
Robust optimality of Gaussian noise stability
We prove that under the Gaussian measure, half-spaces are uniquely the most noise stable sets. We also prove a quantitative version of uniqueness, showing that a set which is almost optimally noise stable must be close to a half-space. This extends a theorem of Borell, who proved the same result but without uniqueness, and it also answers a question of Ledoux, who asked whether it was possible to prove Borell’s theorem using a direct semigroup argument. Our quantitative uniqueness result has various...
Semantic evaluation of the components of Ledley and Lusted's diagnostic model
Sofic Systems and Graphs.
Some Characterization Theorems for Generalized Measures of Uncertainty and Information.
Some functionals on sets of stationary codes
Some noiseless coding theorem connected with Havrda and Charvat and Tsallis's entropy
Some results on a generalized useful information measure.
Some stationary source and joint source-channel coding theorems with a fidelity criterion
Some theorems on geometric measure of distortion
Statistical manifolds with maximal automorphisms group.
Statistical properties of Markov dynamical sources: applications to information theory.
Strongly cancellative and recovering sets on lattices.