Results 11 to 20 of about 105,087 (310)
Infinite Shannon entropy [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2013 Even if a probability distribution is properly normalizable, its associated Shannon (or von Neumann) entropy can easily be infinite. We carefully analyze conditions under which this phenomenon can occur.
Baccetti, Valentina, Visser, Matt
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Tsallis Entropy and Generalized Shannon Additivity [PDF]
Axioms, 2017 The Tsallis entropy given for a positive parameter α can be considered as a generalization of the classical Shannon entropy. For the latter, corresponding to α = 1 , there exist many axiomatic characterizations. One of them based on the well-
Sonja Jäckle, Karsten Keller
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Voronoi Tessellations and the Shannon Entropy of the Pentagonal Tilings. [PDF]
Entropy (Basel), 2023 Bormashenko E +4 more
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On Convergence Properties of Shannon Entropy [PDF]
Problems of Information Transmission, 2007 Convergence properties of Shannon Entropy are studied. In the differential setting, it is shown that weak convergence of probability measures, or convergence in distribution, is not enough for convergence of the associated differential entropies.
A. Antos +16 more
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Multi-Level Thresholding Based on Composite Local Contour Shannon Entropy Under Multiscale Multiplication Transform [PDF]
EntropyImage segmentation is a crucial step in image processing and analysis, with multi-level thresholding being one of the important techniques for image segmentation.
Xianzhao Li, Yaobin Zou
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Analysis of Meditation vs. Sensory Engaged Brain States Using Shannon Entropy and Pearson's First Skewness Coefficient Extracted from EEG Data. [PDF]
Sensors (Basel), 2023 Davis JJJ, Kozma R, Schübeler F.
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Statistical estimation of conditional Shannon entropy [PDF]
ESAIM: Probability and Statistics, 2018 The new estimates of the conditional Shannon entropy are introduced in the framework of the model describing a discrete response variable depending on a vector ofdfactors having a density w.r.t. the Lebesgue measure in ℝd. Namely, the mixed-pair model (X,Y) is considered whereXandYtake values in ℝdand an arbitrary finite set, respectively.
Alexander Bulinski, Alexey Kozhevin
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Renyi extrapolation of Shannon entropy [PDF]
Open Systems & Information Dynamics, 2003 Relations between Shannon entropy and Rényi entropies of integer order are discussed. For any N-point discrete probability distribution for which the Rényi entropies of order two and three are known, we provide a lower and an upper bound for the Shannon entropy. The average of both bounds provide an explicit extrapolation for this quantity.
Karol Życzkowski
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Quantifying Information via Shannon Entropy in Spatially Structured Optical Beams. [PDF]
Research (Wash D C), 2021 Solyanik-Gorgone M +5 more
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Few generalized entropic relations related to Rydberg atoms
Scientific Reports, 2022 We calculate the analytical and numerical values of the position space Shannon entropy, momentum space Shannon entropy, and total Shannon entropy, $$S_\rho$$ S ρ , $$S_\gamma$$ S γ , and $$S_T$$ S T , respectively, of free and trapped Rydberg hydrogen ...
Kirtee Kumar, Vinod Prasad
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