Generalized (c,d)-Entropy and Aging Random Walks [PDF]
Complex systems are often inherently non-ergodic and non-Markovian and Shannon entropy loses its applicability. Accelerating, path-dependent and aging random walks offer an intuitive picture for non-ergodic and non-Markovian systems.
Rudolf Hanel, Stefan Thurner
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Multi-Level Wavelet Shannon Entropy-Based Method for Single-Sensor Fault Location
In actual application, sensors are prone to failure because of harsh environments, battery drain, and sensor aging. Sensor fault location is an important step for follow-up sensor fault detection.
Qiaoning Yang, Jianlin Wang
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Harnessing Shannon entropy-based descriptors in machine learning models to enhance the prediction accuracy of molecular properties [PDF]
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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Boltzmann-Shannon Entropy: Generalization and Application [PDF]
The paper deals with the generalization of both Boltzmann entropy and distribution in the light of most-probable interpretation of statistical equilibrium. The statistical analysis of the generalized entropy and distribution leads to some new interesting
Aczel J. +17 more
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Tsallis Entropy and Generalized Shannon Additivity [PDF]
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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On Convergence Properties of Shannon Entropy [PDF]
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]
Image 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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Non-extensive entropy from incomplete knowledge of Shannon entropy? [PDF]
In this paper we give an interpretation of Tsallis' nonextensive statistical mechanics based upon the information-theoretic point of view of Luzzi et al.
Calabrese P +11 more
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Few generalized entropic relations related to Rydberg atoms
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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Estimating the variance of Shannon entropy [PDF]
The statistical analysis of data stemming from dynamical systems, including, but not limited to, time series, routinely relies on the estimation of information theoretical quantities, most notably Shannon entropy. To this purpose, possibly the most widespread tool is provided by the so-called plug-in estimator, whose statistical properties in terms of ...
Ricci, Leonardo +2 more
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