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Local Entropy, Metric Entropy and Topological Entropy for Countable Discrete Amenable Group Actions

International Journal of Bifurcation and Chaos, 2016
Let [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

2022
Topological entropy and metric ...
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Topological entropy and metric flow

2022
Topological entropy and metric ...
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Software Metrics, Information and Entropy

2003
This 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, 2010
An 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 Systems
Let \(X\) 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, 2022
Jonathan W Siegel
exaly  

Metric Versus Topological Receptive Entropy of Semigroup Actions

Qualitative Theory of Dynamical Systems, 2021
Andrzej Biś   +2 more
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Bayesian inversion for imprecise probabilistic models using a novel entropy-based uncertainty quantification metric

Mechanical Systems and Signal Processing, 2022
Lechang Yang   +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, 2020
Yiqun Zhang   +2 more
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