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Special Issue "Permutation Entropy: Theory and Applications"
Deadline for manuscript submissions: 30 November 2019.
Introduced 16 years ago in a seminal paper by C. Bandt and B. Pompe, the concept of permutation entropy (PE) has attracted much attention from researchers from a plethora of fields. Undeniably, part of this success originates from the elegance and simplicity of PE. It is based on comparing neighbouring values in a time series, for then finding the order patterns that result in sorted (ascending) sequences, and finally on studying the corresponding probability distribution. PE thus allows us to synthesise, in a simple metric, the temporal causality of the time series, and to do this in a computationally efficient and almost parameter-free way. If originally introduced to assess the complexity of a time series, it was soon modified to, e.g., discriminate between chaotic and random dynamics, to quantify the irreversibility of a time series, or to test the presence of causality relationships.
The theoretical advantages offered by PE have fostered its application to heterogeneous real-world problems. The best examples can be found in the biomedical field, where it has been used to characterise the dynamics of different entities in healthy and pathological conditions—including individual neurons, brain, heart or gait. However, further examples can also be found in economics, laser physics, mechanical engineering, or climate analysis, to name a few. In synthesis, whenever it is required to characterise the complexity of the mechanisms behind a time series, PE offers an efficient and effective option.
In spite of this, many questions remain open, and the community has only scratched the surface of some theoretical problems. To illustrate, if PE allows characterising the temporal causality in one time series, few options are available to move to multivariate measurement. Additionally, the community still has to reach a consensus on how to handle equal values, or on how to optimise parameters like the embedding delay or the order of permutation.
This Special Issue seeks contributions from researchers working on this active topic, from both theoretical and applied perspectives, in the form of both original research and review papers. The application of PE to real-world problems, and the adaptation of PE to tackle new theoretical problems will especially be welcome.
Dr. Massimiliano Zanin
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 papers will be 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 1600 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.
- Permutation entropy
- Forbidden patterns
- Time series analysis