An alternative measure of uncertainty that extends Shannon entropy to random variables with continuous distributions called cumulative residual entropy (CRE), which is more general than the Shannon entropy in that its definition is valid in the continuous and discrete domains.Expand

A functional with variable exponent, which provides a model for image denoising, enhancement, and restoration, is studied and the existence, uniqueness, and long-time behavior of the proposed model are established.Expand

An alternative notion of entropy called CRE is proposed in [Ra1] Rao et al. (IEEE Trans. Inf. Theory 50, 2004). This preserves many of the properties of Shannon Entropy and possesses mathematical… Expand

CeO2 induced lung inflammation and injury in lungs which may lead to fibrosis, and CeO2 exposure markedly increased suppressor of cytokine signaling-1 at 1-day and elevated arginase- 1 at 28-day post exposure in lung cells, while osteopontin was significantly elevated in lung tissue at both time points.Expand

The cross-CRE (CCRE) is defined and applied to solve the uni- and multimodal image alignment problem for parameterized (rigid, affine and projective) transformations and has significantly larger noise immunity and a larger convergence range over the field of parameterized transformations.Expand

Let X be a Lévy process in% MathType!Translator!2!1!AMS LaTeX.tdl!TeX -- AMS-LaTeX!% MathType!MTEF!2!1!+-% feaaeaart1ev0aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX%… Expand

A framework to nonparametrically obtain measures of entropy directly from data using operators in reproducing kernel Hilbert spaces defined by infinitely divisible kernels is presented and estimators of kernel-based conditional entropy and mutual information are also defined.Expand

On decrit une grande classe de processus de Markov satisfaisant l'hypothese de Hunt (H). En particulier, si Φ est un exposant de Levy-Khintchin, alors le processus de Levy d'exposant Φα(0<α<1)… Expand