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Shannon's information is not entropy
Physics Letters A, 1991 Abstract Contrary to the widespread belief, Shannon's information and entropy are not in general equivalent. The purpose of this Letter is to discuss their conceptual difference and to pinpoint to mathematical reason for this. This fact is further illustrated through a toy model consisting of a harmonic oscillator in a coherent state, showing ...
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The role of boundedness in characterizing shannon entropy
Information and Control, 1975 This paper contains a characterization of Shannon's entropy measure H(p1 ,…, pn) = −∑pi log pi from the following properties: recursivity, 3-symmetry, normalization, and f is bounded on [0, 1], where f(x) = H(x, 1 − x) (boundedness). Two new techniques are presented: approximation of log N by rationals and iteration of the fundamental functional ...
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AI &Innovation, EarlyView.ABSTRACT The rapid evolution of the Internet of Things (IoT) has significantly advanced the field of electrocardiogram (ECG) monitoring, enabling real‐time, remote, and patient‐centric cardiac care. This paper presents a comprehensive survey of AI assisted IoT‐based ECG monitoring systems, focusing on the integration of emerging technologies such as ...
Amrita Choudhury +2 more
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PLoS ONEHigh-quality informed consent forms (ICFs) are crucial to facilitate effective communication between researchers and patients. However, the complex and specialized terminologies in ICFs often result in biased or late interpretations, thus hindering the ...
Qiansu Yang +7 more
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Firefly-Algorithm Supported Scheme to Detect COVID-19 Lesion in Lung CT Scan Images using Shannon Entropy and Markov-Random-Field [PDF]
, 2020 V. Rajinikanth +4 more
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An Intrinsic Characterization of Shannon’s and Rényi’s Entropy
EntropyAll characterizations of the Shannon entropy include the so-called chain rule, a formula on a hierarchically structured probability distribution, which is based on at least two elementary distributions. We show that the chain rule can be split into two natural components, the well-known additivity of the entropy in case of cross-products and a variant ...
Schlather, Martin, Ditscheid, Carmen
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American Journal of Agricultural Economics, EarlyView.Abstract Germany's Renewable Energy Sources Act (REA), enacted in 2000 and subsequently amended, subsidized national renewable energy production with fixed feed‐in tariffs for renewable energy sources (RE) from wind, solar, and biogas. Empirical studies suggest that the policy was creating windfall effects for landowners and attribute farmland use ...
Lars Isenhardt +6 more
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New bounds for Shannon, Relative and Mandelbrot entropies via Hermite interpolating polynomial [PDF]
, 2018 Nasir Mehmood +3 more
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American Journal of Botany, EarlyView.Abstract Premise Changing climates are leading to more frequent and severe heat waves, potentially threatening plant populations. Both acclimation to stress and selection for heat‐escape or heat‐resistance phenotypes occur during heat waves. However, plastic responses and selection do not necessarily interact cohesively—even producing trait responses ...
Lana F. Gaspard +4 more
wiley +1 more source