Wavelets are not well-suited to represent oscillatory patterns, a special form of texture. However, results from various image coding methods based on wavelet packets, such as [1], show that they are particularly good in coding images with oscillatory patterns. In this paper, we present an adaptive wavelet transform based image coder which employs a stack-run representation for quantized transf...

In this paper, two context-based entropy coding schemes for AVS Part-2 video coding standard are presented. One is Context-based 2D Variable Length Coding (C2DVLC) as a low complexity entropy coding scheme for AVS Part-2 Jizhun profile. C2DVLC uses multiple 2D-VLC tables to exploit the statistical features of DCT coefficients for higher coding efficiency. Exponential–Golomb codes are applied in...

For image compression purposes a general framework for modification of transform coefficients is proposed in this paper. To show the functionality of the method, we applied it to the contourlet transform. Unlike non-linear approximation (NLA) algorithms, the proposed algorithm causes the modification of the coefficients to be performed in a controlled manner. Different coefficients in different...

Many thermodynamic relations involve inequalities, with equality if a process does not involve dissipation. In this article we provide equalities in which the dissipative contribution is shown to involve the relative entropy (also called the Kullback-Leibler divergence). The processes considered are general time evolutions in both classical and quantum mechanics, and the initial state is someti...

The problem of estimating linear functions of ordered scale parameters of two Gamma distributions is considered under entropy loss. A necessary and sufficient condition for the maximum likelihood estimator (MLE) to dominate the crude unbiased estimator (UE) is given on two non-negative coefficients. Furthermore, improvement on the UE of the reciprocal of each scale parameter is also obtained un...

Abstract: The evolution of the entropy production in solids due to heat transfer is usually associated with the Prigogine’s minimum entropy production principle. In this paper, we propose a critical review of the results of Prigogine and some comments on the succeeding literature. We suggest a characterization of the evolution of the entropy production of the system through the generalized Four...

Abstract—This paper provides a quantitative measure of the time-varying multiunit neuronal spiking activity using an entropy based approach. To verify the status embedded in the neuronal activity of a population of neurons, the discrete wavelet transform (DWT) is used to isolate the inherent spiking activity of MUA. Due to the de-correlating property of DWT, the spiking activity would be preser...

This paper deals with the approach of using multiscale permutation entropy as a tool for feature selection for fault diagnosis in ball bearings. The coefficients obtained from the wavelet transformation of the vibration signals of the bearings are used for the calculation of statistical parameters. Based on the minimum multiscale permutation entropy criteria, the best scale is selected and stat...

The information entropy of a single particle in a quantum-mechanicalD-dimensional central potential is separated in two parts. One depends only on the specific form of the potential (radial entropy) and the other depends on the angular distribution (spatial entropy). The latter is given by an entropic-like integral of the hyperspherical harmonics, which is expressed in terms of the entropy of t...

We develop the stochastic approach to thermodynamics based on stochastic dynamics, which can be discrete (master equation) and continuous (Fokker-Planck equation), and on two assumptions concerning entropy. The first is the definition of entropy itself and the second the definition of entropy production rate, which is non-negative and vanishes in thermodynamic equilibrium. Based on these assump...