Tsallis and Rényi entropy measures are two possible different generalizations of the Boltzmann-Gibbs entropy (or Shannon’s information) but are not generalizations of each others. It is however the Sharma-Mittal measure, which was already defined in 1975 (B.D. Sharma, D.P. Mittal, J.Math.Sci 10, 28) and which received attention only recently as an application in statistical mechanics (T.D. Fran...

Quantifying quantum coherence of a given system not only plays an important role in information science but also promotes our understanding some basic problems, such as phase transition. Conventional measures, l1-norm and relative entropy coherence, are widely used to study Here we adopt basis-independent measure that is version the Jensen–Shannon divergence investigate property total well its ...

Support vector machines (SVMs) naturally embody sparseness due to their use of hinge loss functions. However, SVMs can not directly estimate conditional class probabilities. In this paper we propose and study a family of coherence functions, which are convex and differentiable, as surrogates of the hinge function. The coherence function is derived by using the maximum-entropy principle and is c...

predicting different behaviors in computer networks is the subject of many data mining researches. providing a balanced intrusion detection system (ids) that directly addresses the trade-off between the ability to detect new attack types and providing low false detection rate is a fundamental challenge. many of the proposed methods perform well in one of the two aspects, and concentrate on a su...