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Multiscale Entropy Approaches and Their Applications: Fourth Edition

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

Deadline for manuscript submissions: 30 November 2025 | Viewed by 380

Special Issue Editor

Special Issue Information

Dear Colleagues,

Multiscale entropy measures have been proposed since the beginning of the 2000s to evaluate the complexity of time series, by considering the multiple time scales present in physical systems. Since then, these approaches have received significant attention and been employed in an extensive range of applications. Multivariate and multidimensional approaches have also been developed.

The algorithms used in a multiscale entropy approach comprise two main steps: (i) a coarse-graining procedure to represent the system’s dynamics on different scales and (ii) entropy computation for the original data and for the coarse-grained data, in order to evaluate the irregularity for each scale. Moreover, different entropy measures have been associated with the coarse-graining approach, each one exhibiting advantages and drawbacks: approximate entropy, sample entropy, permutation entropy, fuzzy entropy, distribution entropy, dispersion entropy, ensemble entropy, etc.

This Special Issue aims to compile papers that focus on both the theory and applications of entropy and its multiscale approaches. Any kind of entropy measure is considered (see above).

The scope of this Special Issue includes, but is not limited to, the following topics:

  • Proposal of new entropy-based irregularity measures;
  • Improvement of the coarse-graining concept;
  • Improvement in the entropy measure itself;
  • The application of entropy measures and/or its multiscale approach for univariate, multivariate, and multidimensional data.

We welcome contributions that encompass the fields of biomedical engineering, chemical engineering, hydrology, pharmaceutical sciences, financial analyses, neurosciences, industrial engineering, geosciences and information sciences.

Dr. Anne Humeau-Heurtier
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

  • multiscale entropy
  • approximate entropy
  • sample entropy
  • permutation entropy
  • fuzzy entropy
  • distribution entropy
  • dispersion entropy
  • ensemble entropy

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Published Papers (1 paper)

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Research

12 pages, 625 KiB  
Article
Multiscale Simplicial Complex Entropy Analysis of Heartbeat Dynamics
by Alvaro Zabaleta-Ortega, Carlos Carrizales-Velazquez, Bibiana Obregón-Quintana and Lev Guzmán-Vargas
Entropy 2025, 27(5), 467; https://doi.org/10.3390/e27050467 - 25 Apr 2025
Viewed by 262
Abstract
The present study proposes a multiscale analysis of the simplicial complex approximate entropy (MS-SCAE) applied to cardiac interbeat series. The MS-SCAE method is based on quantifying the changes in the simplicial complex associated with the time series when a coarse-grained procedure is performed. [...] Read more.
The present study proposes a multiscale analysis of the simplicial complex approximate entropy (MS-SCAE) applied to cardiac interbeat series. The MS-SCAE method is based on quantifying the changes in the simplicial complex associated with the time series when a coarse-grained procedure is performed. Our findings are consistent with those of previously reported studies, which indicate that the complexity of healthy interbeat dynamics remains relatively stable over different scales. However, these dynamics undergo changes in the presence of certain cardiac pathologies, such as congestive heart failure and atrial fibrillation. The method we present here allows for effective differentiation between different dynamics and is robust in its ability to characterize both real and simulated sequences. This makes it a suitable candidate for application to a variety of complex signals. Full article
(This article belongs to the Special Issue Multiscale Entropy Approaches and Their Applications: Fourth Edition)
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