The separation of the Schrödinger equation into a Markovian and an interference term provides a new insight in the quantum dynamics of classically chaotic systems. The competition between these two terms determines the localized or diffusive character of the dynamics. In the case of the Kicked Rotor, we show how the constrained maximization of the entropy implies exponential localization.

One of the important application areas of information theoretic measures is the development of some inequalities frequently used in information theory. The present communication deals with the development of such important inequalities through the maximization of entropy measures, especially while dealing with fuzzy distributions.

In this paper we explore the independent component decomposition for face detection. The minimization of the Kullback Leibler divergence and the maximization of the entropy are two methods employed to decompose an original image into its independent components. We built nearest neighbor classifiers based on their resulting independent components and compare their ability to detect faces to that...

The representation of the economic system, from a complexity perspective, focuses on interactions among heterogeneous agents in conditions of uncertainty. Heterogeneity entails asymmetric reactions to shocks and, through interaction mechanisms and feedback loops at micro, macro and meso level, these diverse reactions influence behaviours of other agents. Such a system cannot be modelled with ma...

The theory of scale relativity is an attempt at developing the consequences of giving up the implicit hypothesis of space-time differentiability. One of these consequences is that space-time becomes fractal, i.e., explicitly resolution-dependent. The principle of relativity is extended in order to be also valid for scale transformations of space-time resolutions. In the present contribution, we...

This paper describes the formulation of a new model for unintrusive targeted advertising on the web, extending the linear programming approach taken by Langheinrich et al.[10] A feature of our model is that it avoids unrealistic solutions of the type which may show ads to only a too-narrow group of users. This is accomplished by using a statistically derived entropy maximization model, which co...

Abstract: Portfolio selection in the financial literature has essentially been analyzed under two central assumptions: full knowledge of the joint probability distribution of the returns of the securities that will comprise the target portfolio; and investors’ preferences are expressed through a utility function. In the real world, operators build portfolios under risk constraints which are exp...

Virtualization technologies make it possible for cloud providers to consolidate multiple IaaS provisions into a single server in the form of virtual machines (VMs). Additionally, in order to fulfill the divergent service requirements from multiple users, a cloud provider needs to offer several types of VM instances, which are associated with varying configurations and performance, as well as di...

Submodular function maximization finds application in a variety of real-world decision-making problems. However, most existing methods, based on greedy maximization, assume it is computationally feasible to evaluate F , the function being maximized. Unfortunately, in many realistic settings F is too expensive to evaluate exactly even once. We present probably approximately correct greedy maximi...

We challenge claims that the principle of maximum entropy production produces physical phenomenological relations between conjugate currents and forces, even beyond the linear regime, and that currents in networks arrange themselves to maximize entropy production as the system approaches the steady state. In particular: (1) we show that Ziegler’s principle of thermodynamic orthogonality leads t...