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×a and ×b empirical measures, the irregular set and entropy

open access: yes×a and ×b empirical measures, the irregular set and entropy
openaire   +2 more sources

Asymptotic results for runs and empirical cumulative entropies

Journal of Statistical Planning and Inference, 2015
The paper under review deals with sequences of runs and of empirical cumulative entropies. The authors utilize the definition of runs based on differences and ratios of consecutive order statistics as in [\textit{S. Eryilmaz} and \textit{A. Stepanov}, ``Runs in an ordered sequence of random variables'', Metrika 67, No. 3, 299--311 (2008; Zbl 1357.60037)
Rita Giuliano   +2 more
exaly   +4 more sources

Efficient Approximate Algorithms for Empirical Entropy and Mutual Information

Proceedings of the 2021 International Conference on Management of Data, 2021
Empirical entropy is a classic concept in data mining and the foundation of many other important concepts like mutual information. However, computing the exact empirical entropy/mutual information on large datasets can be expensive. Some recent research work explores sampling techniques on the empirical entropy/mutual information to speed up the top-k ...
Xingguang Chen, Sibo Wang 0001
openaire   +1 more source

Fast Approximation of Empirical Entropy via Subsampling

Proceedings of the 25th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, 2019
Empirical entropy refers to the information entropy calculated from the empirical distribution of a dataset. It is a widely used aggregation function for knowledge discovery, as well as the foundation of other aggregation functions such as mutual information.
Chi Wang 0001, Bailu Ding
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and empirical measures, the irregular set and entropy

Ergodic Theory and Dynamical Systems, 2023
AbstractFor integers a and $b\geq 2$ , let $T_a$ and $T_b$ be multiplication by a and b on $\mathbb {T}=\mathbb {R}/\mathbb {Z}$ . The action on $\mathbb {T}$ by $T_a$ and $T_b$ is called $\times a,\times b$ action and it is known that, if a and b are multiplicatively independent, then the only $\times a,\times b$ invariant and ergodic ...
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Empirical entropy for right censored data

Acta Mathematicae Applicatae Sinica, English Series, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Guo-qing, Liang, Wei, He, Shu-yuan
openaire   +2 more sources

How changes affect software entropy: an empirical study

Empirical Software Engineering, 2012
Context Software systems continuously change for various reasons, such as adding new features, fixing bugs, or refactoring. Changes may either increase the source code complexity and disorganization, or help to reducing it. Aim This paper empirically investigates the relationship of source code complexity and disorganization--measured using source code
Gerardo Canfora   +3 more
openaire   +1 more source

Blockwise empirical entropy tests for time series regressions

Journal of Time Series Analysis, 2005
Abstract.  This paper shows how the empirical entropy (also known as exponential likelihood or non‐parametric tilting) method can be used to test general parametric hypothesis in time series regressions. To capture the weak dependence of the observations, the paper uses blocking techniques which are also used in the bootstrap literature on time series.
openaire   +2 more sources

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