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Fundamenta Informaticae, 2002
We use information entropy measure to extend the rough set based notion of a reduct. We introduce the Approximate Entropy Reduction Principle (AERP). It states that any simplification (reduction of attributes) in the decision model, which approximately preserves its conditional entropy (the measure of inconsistency of defining decision by conditional ...
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We use information entropy measure to extend the rough set based notion of a reduct. We introduce the Approximate Entropy Reduction Principle (AERP). It states that any simplification (reduction of attributes) in the decision model, which approximately preserves its conditional entropy (the measure of inconsistency of defining decision by conditional ...
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2016 9th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics (CISP-BMEI), 2016
Parkinsonian tremor is one of the primary symptoms of Parkinson's disease. The current methods of objective assessment are mainly based on amplitude and frequency. In recent years, the ApEn and Cross-ApEn have been introduced as new methods of nonlinear analysis. They are used to assess the regularity and synchrony of time series.
Yao Liu +4 more
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Parkinsonian tremor is one of the primary symptoms of Parkinson's disease. The current methods of objective assessment are mainly based on amplitude and frequency. In recent years, the ApEn and Cross-ApEn have been introduced as new methods of nonlinear analysis. They are used to assess the regularity and synchrony of time series.
Yao Liu +4 more
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Analysis and Comparison of Permutation Entropy, Approximate Entropy and Sample Entropy
2018 International Symposium on Computer, Consumer and Control (IS3C), 2018Permutation entropy, approximate entropy and sample entropy can be used to measure the complexity of time series. The sinusoidal signal changed with length, amplitude, phase and frequency is measured by these three kinds of entropy. Simulation results show that the entropy value is stable when the data length is longer than some value, for example ...
Hong Zhang, Sha-sha He
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Structural Safety, 1991
Abstract A three parameter tail entropy approximation ( TEA ) suitable for reliability and risk analysis is described and illustrated by examples. The TEA is determined directly from sample data. It combines the best features of tail approximation and entropy optimization for structural safety analysis.
Niels C. Lind, Han Ping Hong
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Abstract A three parameter tail entropy approximation ( TEA ) suitable for reliability and risk analysis is described and illustrated by examples. The TEA is determined directly from sample data. It combines the best features of tail approximation and entropy optimization for structural safety analysis.
Niels C. Lind, Han Ping Hong
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IEEE Transactions on Biomedical Engineering, 2005
We studied changes in intracranial pressure (ICP) complexity, estimated by the approximate entropy (ApEn) of the ICP signal, as subjects progressed from a state of normal ICP (< 20-25 mmHg) to acutely elevated ICP (an ICP "spike" defined as ICP > 25 mmHg for < or = 5 min).
Roberto Hornero +4 more
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We studied changes in intracranial pressure (ICP) complexity, estimated by the approximate entropy (ApEn) of the ICP signal, as subjects progressed from a state of normal ICP (< 20-25 mmHg) to acutely elevated ICP (an ICP "spike" defined as ICP > 25 mmHg for < or = 5 min).
Roberto Hornero +4 more
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Edgeworth Approximation of Multivariate Differential Entropy
Neural Computation, 2005We develop the general, multivariate case of the Edgeworth approximation of differential entropy and show that it can be more accurate than the nearest-neighbor method in the multivariate case and that it scales better with sample size. Furthermore, we introduce mutual information estimation as an application.
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Radar jamming detection based on approximate entropy and moving-cut approximate entropy
IET International Conference on Information Science and Control Engineering 2012 (ICISCE 2012), 2012The jamming signal released by the enemy's aircraft can be explored by detecting the mutation of the received signal for radar seeker. The approximate entropy method, measuring the signal complexity, can be applied to process one frame data and to judge whether the jamming exists or not.
null Yan Xingwei +3 more
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AIP Conference Proceedings, 2005
In this paper, the construction of scattered data approximants is studied using the principle of maximum entropy. For under‐determined and ill‐posed problems, Jaynes’s principle of maximum information‐theoretic entropy is a means for least‐biased statistical inference when insufficient information is available. Consider a set of distinct nodes {xi}i=1n
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In this paper, the construction of scattered data approximants is studied using the principle of maximum entropy. For under‐determined and ill‐posed problems, Jaynes’s principle of maximum information‐theoretic entropy is a means for least‐biased statistical inference when insufficient information is available. Consider a set of distinct nodes {xi}i=1n
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Approximate entropy in cardiology
Herzschrittmachertherapie und Elektrophysiologie, 2000Background. The quantification of subtle patterns in sequential data, and their changes, has considerable potential utility throughout cardiology, including the analysis of heart rate rhythms. Aim of the study. Approximate entropy (ApEn), a recently developed statistic quantifying serial irregularity, has been applied in numerous studies throughout ...
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On Approximating the Entropy of Polynomial Mappings.
Electron. Colloquium Comput. Complex., 2010Engineering and Applied ...
Dvir, Zeev +3 more
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