Results 61 to 70 of about 1,354 (166)

Information Flow in Geophysical Systems

open access: yesJournal of Advances in Modeling Earth Systems, Volume 18, Issue 6, June 2026.
Abstract We present a new framework for analyzing the evolution of information in geophysical systems. Understanding how information, and its counterpart, uncertainty, propagates is central to predictability studies and has significant implications for applications such as forecast uncertainty quantification and risk management. It also offers valuable
P. J. van Leeuwen
wiley   +1 more source

A measure of mutual divergence among a number of probability distributions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1987
The principle of optimality of dynamic programming is used to prove three major inequalities due to Shannon, Renyi and Holder. The inequalities are then used to obtain some useful results in information theory.
J. N. Kapur, Vinod Kumar, Uma Kumar
doaj   +1 more source

Two Measures of Dependence

open access: yesEntropy, 2019
Two families of dependence measures between random variables are introduced. They are based on the Rényi divergence of order α and the relative
Amos Lapidoth, Christoph Pfister
doaj   +1 more source

A Robust Solution to Variational Importance Sampling of Minimum Variance

open access: yesEntropy, 2020
Importance sampling is a Monte Carlo method where samples are obtained from an alternative proposal distribution. This can be used to focus the sampling process in the relevant parts of space, thus reducing the variance. Selecting the proposal that leads
Jerónimo Hernández-González   +1 more
doaj   +1 more source

AGPLO‐Driven Optimisation for Accurate Segmentation of Papillary Thyroid Carcinoma in Medical Imaging

open access: yesCAAI Transactions on Intelligence Technology, Volume 11, Issue 3, Page 847-858, June 2026.
ABSTRACT Papillary Thyroid Carcinoma (PTC) is the most prevalent thyroid malignancy, and accurate lesion segmentation is essential for clinical diagnosis and treatment planning. Metaheuristic optimisation algorithms have been widely used in Multi‐Threshold Image Segmentation (MTIS), but many existing methods suffer from an imbalance between global ...
Jing Ruan   +14 more
wiley   +1 more source

Rényi Divergence and Kullback-Leibler Divergence

open access: yes, 2013
Accepted by IEEE Transactions on Information Theory. To appear.Rényi divergence is related to Rényi entropy much like Kullback-Leibler divergence is related to Shannon's entropy, and comes up in many settings.
Harremoës, Peter, van Erven, Tim
core  

Thermodynamic stability and geometric thermodynamics of Euler Heisenberg black hole using Rényi statistics

open access: yesEuropean Physical Journal C: Particles and Fields
In this study, we investigate the thermodynamic stability and geometric thermodynamics of the Euler–Heisenberg black hole within the Rényi entropy framework.
Bhaskar Jyoti Gogoi
doaj   +1 more source

Conditional Rényi Divergence Saddlepoint and the Maximization of α-Mutual Information

open access: yesEntropy, 2019
Rényi-type generalizations of entropy, relative entropy and mutual information have found numerous applications throughout information theory and beyond. While there is consensus that the ways A.
Changxiao Cai, Sergio Verdú
doaj   +1 more source

Shannon and Rényi Entropies of Molecular Densities Under Atomic Partitioning: Insights Into Extensity and an Incomplete Description of Electron Correlation

open access: yesInternational Journal of Quantum Chemistry, Volume 126, Issue 10, May 15, 2026.
At infinite separation, a diatomic molecule reduces to two noninteracting subsystems. The electron density decomposes into atomic densities, while the Rényi entropy functional reveals both additive atomic contributions and nonadditive terms. None of these terms contains any trace of the presence of static correlation effects, particularly important in ...
Diogo J. L. Rodrigues   +2 more
wiley   +1 more source

Amplifying Inter-Message Distance: On Information Divergence Measures in Big Data

open access: yesIEEE Access, 2017
Message identification (M-I) divergence is an important measure of the information distance between probability distributions, similar to Kullback-Leibler (K-L) and Renyi divergence. In fact, M-I divergence with a variable parameter can make an effect on
Rui She, Shanyun Liu, Pingyi Fan
doaj   +1 more source

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