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Entropy
Volume 23
Issue 8
10.3390/e23080931
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Article

A Modified Multivariable Complexity Measure Algorithm and Its Application for Identifying Mental Arithmetic Task

by
Dizhen Ma
,
Shaobo He
* and
Kehui Sun
School of Physics and Electronics, Central South University, Changsha 410083, China
*
Author to whom correspondence should be addressed.
Entropy 2021, 23(8), 931; https://doi.org/10.3390/e23080931
Submission received: 6 June 2021 / Accepted: 15 July 2021 / Published: 22 July 2021
(This article belongs to the Special Issue Shannon Information and Kolmogorov Complexity)
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Abstract

Properly measuring the complexity of time series is an important issue. The permutation entropy (PE) is a widely used as an effective complexity measurement algorithm, but it is not suitable for the complexity description of multi-dimensional data. In this paper, in order to better measure the complexity of multi-dimensional time series, we proposed a modified multivariable PE (MMPE) algorithm with principal component analysis (PCA) dimensionality reduction, which is a new multi-dimensional time series complexity measurement algorithm. The analysis results of different chaotic systems verify that MMPE is effective. Moreover, we applied it to the comlexity analysis of EEG data. It shows that the person during mental arithmetic task has higher complexity comparing with the state before mental arithmetic task. In addition, we also discussed the necessity of the PCA dimensionality reduction.
Keywords: complexity; PCA; multivariable; permutation entropy; chaotic series; EEG signal complexity; PCA; multivariable; permutation entropy; chaotic series; EEG signal

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MDPI and ACS Style

Ma, D.; He, S.; Sun, K. A Modified Multivariable Complexity Measure Algorithm and Its Application for Identifying Mental Arithmetic Task. Entropy 2021, 23, 931. https://doi.org/10.3390/e23080931

AMA Style

Ma D, He S, Sun K. A Modified Multivariable Complexity Measure Algorithm and Its Application for Identifying Mental Arithmetic Task. Entropy. 2021; 23(8):931. https://doi.org/10.3390/e23080931

Chicago/Turabian Style

Ma, Dizhen, Shaobo He, and Kehui Sun. 2021. "A Modified Multivariable Complexity Measure Algorithm and Its Application for Identifying Mental Arithmetic Task" Entropy 23, no. 8: 931. https://doi.org/10.3390/e23080931

APA Style

Ma, D., He, S., & Sun, K. (2021). A Modified Multivariable Complexity Measure Algorithm and Its Application for Identifying Mental Arithmetic Task. Entropy, 23(8), 931. https://doi.org/10.3390/e23080931

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