Results 61 to 70 of about 1,354 (166)
Information Flow in Geophysical Systems
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
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A measure of mutual divergence among a number of probability distributions
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
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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
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A Robust Solution to Variational Importance Sampling of Minimum Variance
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
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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
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Rényi Divergence and Kullback-Leibler Divergence
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
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
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Conditional Rényi Divergence Saddlepoint and the Maximization of α-Mutual Information
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
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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
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Amplifying Inter-Message Distance: On Information Divergence Measures in Big Data
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
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