A new class of image compression algorithms has been developed for exploiting dependencies between the hierarchical wavelet coefficients using zerotrees. This paper deals with a fuzzy inference filter for image entropy coding by choosing significant coefficients and zerotree roots in the higher frequency wavelet subbands. Moreover, an adaptive quantization is proposed to improve the coding perf...

We introduce a framework to consider transport problems for integer-valued random variables. We introduce weighting coefficients which allow us to characterise transport problems in a gradient flow setting, and form the basis of our introduction of a discrete version of the Benamou–Brenier formula. Further, we use these coefficients to state a new form of weighted log-concavity. These results a...

Hiroki Suyari Department of Information and Image Sciences, Chiba University, Chiba, 263-8522, Japan (Dated: February 2, 2008) Abstract Stirling approximation of the factorials and multinominal coefficients are generalized based on the one-parameter (κ) deformed functions introduced by Kaniadakis [Phys. Rev. E 66 (2002) 056125]. We have obtained the relation between the κ-generalized multinomin...

The Entropy/Influence conjecture, raised by Friedgut and Kalai (1996) [9], seeks to relate two different measures of concentration of the Fourier coefficients of a Boolean function. Roughly saying, it claims that if the Fourier spectrum is “smeared out”, then the Fourier coefficients are concentrated on “high” levels. In this note we generalize the conjecture to biased product measures on the d...

By using linear statistical coefficients such as Pearson, Spearman and Kendall’s, and nonlinear methods such as time-delayed transfer entropy and mutual information, the correlation between the observation stations of bridge health monitoring system is obtained. A model for predicting structural safety based on the correlation coefficients is established, which provides a new research method fo...

The mechanical tumor-growth model of Jackson and Byrne is analyzed. The model consists of nonlinear parabolic cross-diffusion equations in one space dimension for the volume fractions of the tumor cells and the extracellular matrix (ECM). It describes tumor encapsulation influenced by a cell-induced pressure coefficient. The global-in-time existence of bounded weak solutions to the initial-boun...

A 'differential measure' is used to cast our calculus for the group SU (3) into a form similar to Schwinger's boson operator calculus for the group SU (2). It is then applied to compute (i) the inner product between the basis states and (ii) an algebraic formula for the Clebsch-Gordan coefficients. These were obtained earlier by us using Gaussian integration techniques.