SIAMSC
2010
13 years 6 months ago
2010
This work presents a mesh refinement indicator based on entropy variables, with an application to the compressible Navier-Stokes equations. The entropy variables are shown to sati...
SCHOLARPEDIA
2008
13 years 8 months ago
2008
We demonstrate how Sakharov's idea of induced gravity allows one to explain the statistical-mechanical origin of the entropy of a black hole. According to this idea, gravity b...
TIT
2002
13 years 8 months ago
2002
Abstract-- The aim of this paper is to present an axiomatization of a generalization of Shannon's entropy starting from partitions of finite sets. The proposed axiomatization ...
NC
2002
13 years 8 months ago
2002
Second order statistics have formed the basis of learning and adaptation due to its appeal and analytical simplicity. On the other hand, in many realistic engineering problems requ...
FUIN
2002
13 years 8 months ago
2002
We use information entropy measure to extend the rough set based notion of a reduct. We introduce the Approximate Entropy Reduction Principle (AERP). It states that any simplificat...
TIT
2008
13 years 8 months ago
2008
We develop a "plug-in" kernel estimator for the differential entropy that is consistent even if the kernel width tends to zero as quickly as 1/N, where N is the number of...
TIT
2008
13 years 8 months ago
2008
Progressive encoding of a signal generally involves an estimation step, designed to reduce the entropy of the residual of an observation over the entropy of the observation itself....
AMC
2005
13 years 8 months ago
2005
We introduce a novel way of measuring the entropy of a set of values undergoing changes. Such a measure becomes useful when analyzing the temporal development of an algorithm desi...
FUIN
2007
13 years 8 months ago
2007
Different generalizations to the case of coverings of the standard approach to entropy applied to partitions of a finite universe X are explored. In the first approach any cover...
CORR
2007
Springer
13 years 8 months ago
2007
Springer
We introduce the (private) entropy of a directed graph (in a new network coding sense) as well as a number of related concepts. We show that the entropy of a directed graph is ide...