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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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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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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Shannon entropy: axiomatic characterization and application [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 We have presented a new axiomatic derivation of Shannon entropy for a discrete probability distribution on the basis of the postulates of additivity and concavity of the entropy function. We have then modified Shannon entropy to take account of observational uncertainty.The modified entropy reduces, in the limiting case, to the form of Shannon ...
C. G. Chakrabarti, Indranil Chakrabarty
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Harnessing Shannon entropy-based descriptors in machine learning models to enhance the prediction accuracy of molecular properties [PDF]
Journal of Cheminformatics, 2023 Accurate prediction of molecular properties is essential in the screening and development of drug molecules and other functional materials. Traditionally, property-specific molecular descriptors are used in machine learning models.
Rajarshi Guha, Darrell Velegol
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Sudoku-inspired high-Shannon-entropy alloys [PDF]
Acta Materialia, 2022 Current definition of high-entropy alloys (HEAs) is commonly based on the configurational entropy. But this definition depends only on the chemical composition of a HEA and therefore cannot distinguish the information content that is encoded in various local atomic arrangements and measurable by the Shannon entropy in information theory. Here, inspired
Houlong Zhuang
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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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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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