The application of cross-entropy information processing optimizations to artificial neural network (ANN) training can provide decreased sensitivity to accelerated learning rates as well as insights into the information processing structure of the network. In order to assess the cross-entropy between the desired training goal and the evolving state of network information at each training step, t...

The dynamics of brain area influenced by focal epilepsy can be studied using focal and non-focal electroencephalogram (EEG) signals. This paper presents a new method to detect focal and non-focal EEG signals based on an integrated index, termed the focal and non-focal index (FNFI), developed using discrete wavelet transform (DWT) and entropy features. The DWT decomposes the EEG signals up to si...

For projectivizations of rational maps Bellon and Viallet defined the notion of algebraic entropy using the exponential growth rate of the degrees of iterates. We want to call this notion to the attention of dynamicists by computing algebraic entropy for certain rationalmaps of projective spaces (Theorem6.2) and comparing it with topological entropy (Theorem 5.1). The particular rational maps w...

â â  the present study attempts to investigate the urban hierarchy in iran between 1996-2006. the research method is content and statistical analysis. the necessity data were collected by documental method. in addition to the analysis and sorting of the data regarding the situation of iranian cities based on different models such as entropy ,ginny coefficients, urban concentration index, and ra...

PURPOSE We compared attenuation correction of PET images with helical CT (PET/HCT) and respiration-averaged CT (PET/ACT) in patients with non-small-cell lung cancer (NSCLC) with the goal of investigating the impact of respiration-averaged CT on 18F FDG PET texture parameters. MATERIALS AND METHODS A total of 56 patients were enrolled. Tumors were segmented on pretreatment PET images using the...

We consider both the bosonic and fermionic second quantization of spectral triples in presence a chemical potential. show that von Neumann entropy average energy Gibbs state defined by grand partition function can be expressed as actions. It turns out all action coefficients given terms modified Bessel functions. In case, we for entropy, limit when potential μ approaches 0, Riemann zeta functio...

In this paper, the quadratic transportation cost inequality for SDEs with Dini continuous drift and W 1 -transportation singular coefficients are established via stability of Wasserstein distance relative entropy measures under homeomorphism induced by Zvonkin’s transformation.

the mechanical aspect of entropy-exergy relationship, together with the thermal aspect usually consid-ered, leads to an extended formulation of physical exergy based on both maximum useful work and maximum useful heat that are the outcome of available energy of a thermodynamic system. this approach suggests that a mechanical entropy can be studied, in addition to the already used thermal entrop...

This paper proposes a systemic perspective for some aspects of both phylogenesis and ontogenesis, in the light of the notion of “biological organization” as negative entropy, following some hints by Schrödinger. To this purpose, we introduce two extra principles to the thermodynamic ones, which are (mathematically) compatible with the traditional principles, but have no meaning in inert matter....

ABSTRACT: We develop a simple computational tool for SU(3) analogous to Bargmann’s calculus for SU(2). Crucial new inputs are, (i) explicit representation of the Gelfand-Zetlin basis in terms of polynomials in four variables and positive or negative integral powers of a fifth variable (ii) an auxiliary Gaussian measure with respect to which the Gelfand-Zetlin states are orthogonal but not norma...