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Cumulative residual entropy: a new measure of information
TLDR
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
Variable Exponent, Linear Growth Functionals in Image Restoration
TLDR
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
More on a New Concept of Entropy and Information
  • M. Rao
  • Mathematics
  • 1 October 2005
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 mathematicalExpand
Cerium oxide nanoparticle-induced pulmonary inflammation and alveolar macrophage functional change in rats
TLDR
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
Brownian motion and classical potential theory
Cumulative residual entropy, a new measure of information & its application to image alignment
TLDR
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
Green Function Estimates and Harnack Inequality for Subordinate Brownian Motions
Let X be a Lévy process in% MathType!Translator!2!1!AMS LaTeX.tdl!TeX -- AMS-LaTeX!% MathType!MTEF!2!1!+-% feaaeaart1ev0aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX%Expand
Measures of Entropy From Data Using Infinitely Divisible Kernels
TLDR
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
Quadratic variation and energy
Hunt's Hypothesis (H) and Getoor's Conjecture
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
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