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101
Objective approach to diagnosing attention deficit hyperactivity disorder by using pixel subtraction and machine learning classification of outpatient consultation videos
Published 2024-12-01“…Results The results revealed that compared with the non-ADHD group, the ADHD group had significantly larger values for all movement features. Notably, the Shannon entropy values were 2.38 ± 0.59 and 1.0 ± 0.38 in the ADHD and non-ADHD groups, respectively (P < 0.0001). …”
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102
The "one-group-one-cipher" cryptograph of block-cipher based on chaotic
Published 2009-01-01“…The"one-group-one-cipher"algorithm used the sequence from chaotic mapping as sub-key for block cipher was presented to solve the problem of weak keys existing in currently combined cipher algorithms.The randomness of abstracted key sequence was validated in aspects of Shannon entropy.The"one-group-one-cipher"algorithm was de-signed and implemented based on hyper-chaos generalized Hénon mapping and IDEA algorithms, and its security was analyzed theoretically.Analysis shows that the algorithm is so secure that it can withstand brute force attack, and it was perfect secrecy.The disadvantages of key’s reuse of block ciphers are avoided, and the practicality and feasibility of chaos ciphers and one-time pad are improved.…”
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103
Multidimensional Specification of the Role of Regions in the National Economy Based on Entropy Analysis
Published 2024-10-01“…The methodology for calculating entropy indicators based on the generalised Shannon entropy formula is presented. A comparative analysis of three hypothetical regions was conducted on the basis of entropy indices. …”
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104
Refining Jensen–Mercer inequality and its applications in probability and statistics
Published 2025-07-01“…Additionally, the paper explores the application of these refined inequalities to divergence measures such as the Csiszár divergence, Kullback–Leibler divergence, Shannon entropy, and others. These measures play a crucial role in information theory, machine learning, and statistical analysis.…”
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105
Impact of Wetting-Drying Cycles on Soil Intra-Aggregate Pore Architecture Under Different Management Systems
Published 2024-12-01“…The data analyses were conducted in terms of multifractal spectra, normalized Shannon entropy, lacunarity, porosity, anisotropy, connectivity, and tortuosity. …”
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106
An Entropy-Based Gravity Model for Influential Spreaders Identification in Complex Networks
Published 2023-01-01“…In this study, we propose a gravity model based on Shannon entropy to effectively address the aforementioned issues. …”
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107
Generalized Weibull–Lindley (GWL) Distribution in Modeling Lifetime Data
Published 2020-01-01“…Some statistical properties such as quantile function, mode, median, order statistics, Shannon entropy, Galton skewness, and Moors kurtosis have been derived. …”
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108
An exploration study to detect important factors influencing on development of RFID in after sales services
Published 2014-09-01“…We also weight all factors and sub-factors using Shannon entropy method.…”
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109
Evaluation of Spatial Uncertainty and its Elements in Different Types of Spaces
Published 2025-07-01“…To make the uncertainty levels measurable, the Shannon Entropy method will be used to evaluate the effects of spatial uncertainty on the design process, and a new perspective will be put forward in the literature. …”
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110
Towards predicting posttraumatic stress symptom severity using portable EEG-derived biomarkers
Published 2025-02-01“…We observed a significant negative correlation between Shannon entropy in fronto- temporal regions and PCL-5 scores. …”
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111
Entropies and Degree-Based Topological Indices of Coronene Fractal Structures
Published 2025-02-01“…Entropy, as a core thermodynamic function, is an extension based on information theory (such as Shannon entropy) and is used to describe the topological structural complexity or degree of disorder in networks. …”
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112
Rényi complexity in mean-field disordered systems
Published 2025-04-01“…Recently, Rényi entropy, a one-parameter generalization of Shannon entropy, has gained attention across various fields of physics due to its simpler functional form, making it more practical for measurements. …”
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113
Measurement-induced phase transition in state estimation of chaotic systems and the directed polymer
Published 2025-07-01“…Using a minimal representation via a branching tree, we map this problem to the directed polymer (DP) model on the Cayley tree, although in a regime dominated by rare events. By studying the Shannon entropy of the probability distribution estimated by the observer, we demonstrate a phase transition distinguishing a chaotic phase with a reduced Lyapunov exponent from a strong-measurement phase where uncertainty remains bounded. …”
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114
Equivalence of information production and generalised entropies in complex processes.
Published 2023-01-01“…In these representations the information production is given by the Shannon entropy. Over the original sampling space this yields functionals identical to generalised entropies. …”
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115
On $ \mathsf{{H}} $-intersecting graph families and counting of homomorphisms
Published 2025-03-01“…Additionally, a probabilistic version of Shearer's lemma, combined with properties of Shannon entropy, are employed to establish bounds related to the enumeration of graph homomorphisms, providing further insights into the interplay between combinatorial structures and information-theoretic principles.…”
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116
Evaluation of material parameters, texture and stress of a prestressed polycrystalline aggregate from ultrasonic measurements
Published 2001-01-01“…Moreover, the use is made of Jaynes' principle of maximum Shannon entropy and the averaging procedure proposed by Voigt. …”
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117
Entropy as a Tool for the Analysis of Stock Market Efficiency During Periods of Crisis
Published 2024-12-01“…The article uses the Shannon entropy method. This measure, as a statistical measure, does not require the assumption of stationarity of time series or a known probability distribution, unlike classical statistical methods. …”
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118
Novel extensions of k-harmonically convex functions and their applications in information science.
Published 2025-01-01“…We then investigate properties and inequalities for both extensions to derive lower bounds for information-theoretic measures such as Tsallis entropy, Shannon entropy, and Tsallis relative entropy, using the new parametric extensions of these functions. …”
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119
Estimation of local material and structure parameters of a polycrystalline aggregate from ultrasonic measurements
Published 2001-01-01“…The local probability density function of the crystallite orientation and the local effective stiffness moduli of a single grain (crystallite) are found from four ultrasonic velocities and the rules of orthorhombic symmetry and Jaynes' principle of maximum Shannon entropy. These results, which have been obtained for twelve mesodomains centered at each of the twelve observation points, show the effect of the distance between an observation point and a free plate edge on the local effective stiffness moduli and on the local probability density function of the crystallite orientation.…”
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120
Entropy-Based Human Activity Measure Using FMCW Radar
Published 2025-07-01“…The algorithm quantifies activity levels using Shannon entropy to reflect the spatial–temporal variation in range signatures. …”
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