Results 11 to 20 of about 282,648 (277)
Calculating the Wasserstein Metric-Based Boltzmann Entropy of a Landscape Mosaic
Entropy, 2020 Shannon entropy is currently the most popular method for quantifying the disorder or information of a spatial data set such as a landscape pattern and a cartographic map.
Hong Zhang +4 more
doaj +3 more sources
A Novel Distance Metric: Generalized Relative Entropy
Entropy, 2017 Information entropy and its extension, which are important generalizations of entropy, are currently applied to many research domains. In this paper, a novel generalized relative entropy is constructed to avoid some defects of traditional relative ...
Shuai Liu +3 more
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A universal configurational entropy metric for high-entropy materials
Scripta Materialia, 2021 Abstract In recent years, high-entropy materials have become increasingly complex, outgrowing simple solid-solution based calculations of configurational entropy, and with that, the previously established metrics for high-, medium-, and low-entropy.
Olivia F. Dippo, Kenneth S. Vecchio
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Application of the Acoustic Emission Method and Kolmogorov-Sinai Metric Entropy in Determining the Yield Point in Aluminium Alloy. [PDF]
Materials (Basel), 2020 Panasiuk K +3 more
europepmc +2 more sources
A Dynamical Systems-Based Hierarchy for Shannon, Metric and Topological Entropy
Entropy, 2019 A rigorous dynamical systems-based hierarchy is established for the definitions of entropy of Shannon (information), Kolmogorov−Sinai (metric) and Adler, Konheim & McAndrew (topological).
Raymond Addabbo, Denis Blackmore
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Logical Entropy of Information Sources
Entropy, 2022 In this paper, we present the concept of the logical entropy of order m, logical mutual information, and the logical entropy for information sources. We found upper and lower bounds for the logical entropy of a random variable by using convex functions ...
Peng Xu, Yamin Sayyari, Saad Ihsan Butt
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Maximizing Diversity in Biology and Beyond
Entropy, 2016 Entropy, under a variety of names, has long been used as a measure of diversity in ecology, as well as in genetics, economics and other fields. There is a spectrum of viewpoints on diversity, indexed by a real parameter q giving greater or lesser ...
Tom Leinster, Mark W. Meckes
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On Feldman–Katok metric and entropy formulas
Nonlinearity, 2023 Abstract In this paper, we study the Feldman–Katok metric and give corresponding entropy formulas by replacing Bowen metric with Feldman–Katok metric. It turns out that the Feldman–Katok metric is the weakest one, in the sense of allowing desynchrony and jump in the process of measuring orbit segments’ distance, that makes the entropy ...
Fangzhou Cai, Jie Li
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t-Entropy formulae for concrete classes of transfer operators
Журнал Белорусского государственного университета: Математика, информатика, 2019 t-Entropy is a principal object of the spectral theory of operators, generated by dynamical systems, namely, weighted shift operators and transfer operators.
Krzysztof Bardadyn +3 more
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Natural Entropy Production in an Inflationary Model for a Polarized Vacuum [PDF]
, 2007 Though entropy production is forbidden in standard FRW Cosmology, Berman and Som presented a simple inflationary model where entropy production by bulk viscosity, during standard inflation without ad hoc pressure terms can be accommodated with Robertson ...
E.T. Vishniac +8 more
core +2 more sources