On the complementarity of ordinal patterns-based entropy and time asymmetry metrics.
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DOI: 10.1063/5.0136471
Abstract: Entropy and time asymmetry are two intertwined aspects of a system's dynamics, with the production of entropy marking a clear direction in the temporal dimension. In the last few years, metrics to quantify both properties… read more here.
Keywords: time; ordinal patterns; time asymmetry; complementarity ordinal ... See more keywords
Continuous ordinal patterns: Creating a bridge between ordinal analysis and deep learning.
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DOI: 10.1063/5.0136492
Abstract: We introduce a generalization of the celebrated ordinal pattern approach for the analysis of time series, in which these are evaluated in terms of their distance to ordinal patterns defined in a continuous way. This… read more here.
Keywords: ordinal patterns; analysis deep; analysis; deep learning ... See more keywords
Short-term prediction through ordinal patterns
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DOI: 10.1098/rsos.201011
Abstract: Prediction in natural environments is a challenging task, and there is a lack of clarity around how a myopic organism can make short-term predictions given limited data availability and cognitive resources. In this context, we… read more here.
Keywords: term; patterns short; term prediction; ordinal patterns ... See more keywords
Ordinal Patterns in Heartbeat Time Series: An Approach Using Multiscale Analysis
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DOI: 10.3390/e21060583
Abstract: In this paper, we simultaneously use two different scales in the analysis of ordinal patterns to measure the complexity of the dynamics of heartbeat time series. Rényi entropy and weighted Rényi entropy are the entropy-like… read more here.
Keywords: time series; analysis; ordinal patterns; multiscale analysis ... See more keywords
Generalized Ordinal Patterns and the KS-Entropy
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DOI: 10.3390/e23081097
Abstract: Ordinal patterns classifying real vectors according to the order relations between their components are an interesting basic concept for determining the complexity of a measure-preserving dynamical system. In particular, as shown by C. Bandt, G.… read more here.
Keywords: kolmogorov sinai; ordinal patterns; generalized ordinal; sinai entropy ... See more keywords