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First Digits’ Shannon Entropy [PDF]
Entropy, 2022 Related to the letters of an alphabet, entropy means the average number of binary digits required for the transmission of one character. Checking tables of statistical data, one finds that, in the first position of the numbers, the digits 1 to 9 occur ...
Welf Alfred Kreiner
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On Shannon entropy and its applications
Kuwait Journal of Science, 2023 A brief and intuitive introduction to Shannon entropy is presented, including some of its properties. The application of this measure is exemplified in two different contexts from what was in its genesis: biological diversity and an original study on ...
Paulo Saraiva
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Perceptual Complexity as Normalized Shannon Entropy [PDF]
EntropyComplexity is one of the most important variables in how the brain performs decision making based on esthetic values. Multiple definitions of perceptual complexity have been proposed, with one of the most fruitful being the Normalized Shannon Entropy one.
Norberto M. Grzywacz
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Shannon Entropy Loss in Mixed-Radix Conversions [PDF]
Entropy, 2021 This paper models a translation for base-2 pseudorandom number generators (PRNGs) to mixed-radix uses such as card shuffling. In particular, we explore a shuffler algorithm that relies on a sequence of uniformly distributed random inputs from a mixed ...
Amy Vennos, Alan Michaels
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Introduction to logical entropy and its relationship to Shannon entropy [PDF]
4 open, 2022 We live in the information age. Claude Shannon, as the father of the information age, gave us a theory of communications that quantified an “amount of information,” but, as he pointed out, “no concept of information itself was defined.” Logical entropy ...
Ellerman David
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Shannon Entropy in LS-Coupled Configuration Space for Ni-like Isoelectronic Sequence [PDF]
Entropy, 2022 The Shannon entropy in an LS-coupled configuration space has been calculated through a transformation from that in a jj-coupled configuration space for a Ni-like isoelectronic sequence.
Jian-Jie Wan, Jie Gu, Jiao Li, Na Guo
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Perceived Complexity as Normalized, Integrated, Localized Shannon Entropy [PDF]
EntropyPerceived complexity is a key component of sensory brain function as it indicates the number of resources necessary to process incoming information. A recently proposed measure of perceived complexity defined it as normalized Shannon entropy.
Sébastien Berquet, Norberto M. Grzywacz
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Spatial distribution of the Shannon entropy for mass spectrometry imaging [PDF]
PLoS ONE, 2023 Mass spectrometry imaging (MSI) allows us to visualize the spatial distribution of molecular components in a sample. A large amount of mass spectrometry data comprehensively provides molecular distributions.
Lili Xu +13 more
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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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From Chaos to Ordering: New Studies in the Shannon Entropy of 2D Patterns [PDF]
Entropy, 2022 Properties of the Voronoi tessellations arising from random 2D distribution points are reported. We applied an iterative procedure to the Voronoi diagrams generated by a set of points randomly placed on the plane. The procedure implied dividing the edges
Irina Legchenkova +5 more
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