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Local Entropy, Metric Entropy and Topological Entropy for Countable Discrete Amenable Group Actions
International Journal of Bifurcation and Chaos, 2016Let [Formula: see text] be a compact metric space and [Formula: see text] a countable infinite discrete amenable group acting on [Formula: see text]. Like in the [Formula: see text]-action cases we define the notion of local entropy and by it we bound the difference between metric entropy and that of a partition, and bound the difference between ...
Ren, Xiankun, Sun, Wenxiang
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Topological entropy and metric Fisher
2022Topological entropy and metric ...
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Software Metrics, Information and Entropy
2003This chapter describes the foundation and properties of object-oriented software measures. Many software measures for object-oriented applications have been developed and tested in the development environment. However, the process of defining new measures is still alive. The reason for such development lies in difficulties associated with understanding
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Linear metrics for entropy estimation
Automatic Control and Computer Sciences, 2010An entropy estimator constructed with respect to specially selected metrics is studied. It is shown that the estimator converges almost everywhere and the decrease in its variance is of an power order. For symmetric Bernoulli measures, the bias of the estimator is found.
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Weighted Entropy Formulae on Feldman-Katok Metric
Journal of Dynamical and Control SystemsLet \(X\) be a compact metric space with a metric \(d\), and let \(T : X \to X\) be a continuous map. A topological dynamical system (TDS) is represented by the triplet \((X, T, d)\), or simply \((X, T)\) when the metric \(d\) is clear from the context.
Xie, Yunxiang, Chen, Ercai, Yang, Jiao
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Sharp Bounds on the Approximation Rates, Metric Entropy, and n-Widths of Shallow Neural Networks
Foundations of Computational Mathematics, 2022Jonathan W Siegel
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Metric Versus Topological Receptive Entropy of Semigroup Actions
Qualitative Theory of Dynamical Systems, 2021Andrzej Biś +2 more
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A Unified Entropy-Based Distance Metric for Ordinal-and-Nominal-Attribute Data Clustering
IEEE Transactions on Neural Networks and Learning Systems, 2020Yiqun Zhang +2 more
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