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Ordinal Pattern-Based Entropies: New Ideas and Challenges

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Multidisciplinary Applications".

Deadline for manuscript submissions: 15 May 2024 | Viewed by 602

Special Issue Editor


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Guest Editor
Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique, Énergétique (PRISME), University of Orleans, 45100 Orleans, France
Interests: multiscale permutation entropy; time series analysis and forecasting; Bayesian inference; biomedical signal processing; financial time series

Special Issue Information

Dear Colleagues,

Ordinal pattern-based entropies have received significant attention in recent decades as complexity measures for time series. Their utility extends across numerous domains, including biomedical signal analysis, image processing, bearing fault diagnosis, financial analytics, and more. Recently, they found applications in multidimensional time series and encrypted data analysis.

This Special Issue’s aim is twofold. Firstly, it seeks to address theoretical investigations to enrich our understanding of the applicability of ordinal pattern-based entropies. Secondly, it aims to explore new and promising areas as well as novel concepts.

We invite original, unpublished papers and comprehensive reviews exploring the following research areas:

  • Advancements and development of innovative concepts in ordinal pattern-based entropies and methodologies.
  • Theoretical investigations to enhance the interpretability and applicability of permutation entropy.
  • Investigation of linear and nonlinear preprocessing of multiscale permutation entropy on processes involving forbidden patterns.
  • Investigation of the potential of permutation entropy as features in machine learning algorithms, particularly in the context of large and complex datasets.
  • Mathematical modelling and engineering problem-solving using the ordinal pattern-based entropies.
  • Analysis of nonlinear dynamical systems and nonlinear phenomena from the perspective of ordinal patterns.
  • Practical applications of permutation entropy in real-world problems.

Dr. Meryem Jabloun
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • permutation entropy
  • multiscale permutation entropy and its variants
  • Tsallis permutation entropy
  • ordinal pattern-based complexity measure of time series
  • real data application
  • multidimensional time series
  • encrypted data
  • theoretical understanding for appropriate application
  • ordinal pattern based-entropy in machine learning

Published Papers (1 paper)

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26 pages, 2852 KiB  
Article
Benefits of Zero-Phase or Linear Phase Filters to Design Multiscale Entropy: Theory and Application
by Eric Grivel, Bastien Berthelot, Gaetan Colin, Pierrick Legrand and Vincent Ibanez
Entropy 2024, 26(4), 332; https://doi.org/10.3390/e26040332 - 14 Apr 2024
Viewed by 407
Abstract
In various applications, multiscale entropy (MSE) is often used as a feature to characterize the complexity of the signals in order to classify them. It consists of estimating the sample entropies (SEs) of the signal under study and its coarse-grained (CG) versions, where [...] Read more.
In various applications, multiscale entropy (MSE) is often used as a feature to characterize the complexity of the signals in order to classify them. It consists of estimating the sample entropies (SEs) of the signal under study and its coarse-grained (CG) versions, where the CG process amounts to (1) filtering the signal with an average filter whose order is the scale and (2) decimating the filter output by a factor equal to the scale. In this paper, we propose to derive a new variant of the MSE. Its novelty stands in the way to get the sequences at different scales by avoiding distortions during the decimation step. To this end, a linear-phase or null-phase low-pass filter whose cutoff frequency is well suited to the scale is used. Interpretations on how the MSE behaves and illustrations with a sum of sinusoids, as well as white and pink noises, are given. Then, an application to detect attentional tunneling is presented. It shows the benefit of the new approach in terms of p value when one aims at differentiating the set of MSEs obtained in the attentional tunneling state from the set of MSEs obtained in the nominal state. It should be noted that CG versions can be replaced not only for the MSE but also for other variants. Full article
(This article belongs to the Special Issue Ordinal Pattern-Based Entropies: New Ideas and Challenges)
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