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Paper Abstract and Keywords
Presentation 2023-01-28 10:40
Study on minimal diagonal line length effect on recurrence quantification analysis.
Nina Sviridova, Tohru Ikeguchi (TUS) NLP2022-83 NC2022-67
Abstract (in Japanese) (See Japanese page) 
(in English) The recurrence plot visualizes the complex multidimensional system’s dynamics as a two-dimensional binary image. Applied to it, recurrence quantification analysis provides statistics of the recurrence plot structures, such as diagonal lines. Various applied studies used these powerful methods to investigate experimental nonlinear time series dynamics. However, recurrence quantification analysis includes different parameters that might affect its results. While some of these parameters are well studied, others, such as the minimal diagonal line length of the recurrence plot, are still not well investigated. Our previous study found that varying minimal diagonal line length in calculating the determinism index of the recurrence quantification analysis may provide qualitative characteristics to differentiate noise-free and noise-induced data. However, the previous study used only the determinism index, while other recurrence quantification analysis measures also include minimal diagonal line length as a parameter. Also, only qualitative difference was found, without any attempt to quantify it. In this report, we furthered our previous study by additional examination of the determinism index trends and investigation of the recurrence quantification analysis' average diagonal line length and entropy, which include minimal diagonal line length as a parameter. Results demonstrated that all three investigated indexes have the potential to provide qualitative differentiation of the noise-free and noisy data. Additionally, the possibility of utilizing the determinism index for quantitative differentiation of the noise levels in data was found.
Keyword (in Japanese) (See Japanese page) 
(in English) Nonlinear dynamics / recurrence plot / recurrence quantification analysis / minimal diagonal line length / / / /  
Reference Info. IEICE Tech. Rep., vol. 122, no. 373, NLP2022-83, pp. 11-15, Jan. 2023.
Paper # NLP2022-83 
Date of Issue 2023-01-21 (NLP, NC) 
ISSN Online edition: ISSN 2432-6380
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All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee NC NLP  
Conference Date 2023-01-28 - 2023-01-29 
Place (in Japanese) (See Japanese page) 
Place (in English) Future University Hakodate 
Topics (in Japanese) (See Japanese page) 
Topics (in English) NC, NLP, etc. 
Paper Information
Registration To NLP 
Conference Code 2023-01-NC-NLP 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Study on minimal diagonal line length effect on recurrence quantification analysis. 
Sub Title (in English)  
Keyword(1) Nonlinear dynamics  
Keyword(2) recurrence plot  
Keyword(3) recurrence quantification analysis  
Keyword(4) minimal diagonal line length  
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1st Author's Name Nina Sviridova  
1st Author's Affiliation Tokyo University of Science (TUS)
2nd Author's Name Tohru Ikeguchi  
2nd Author's Affiliation Tokyo University of Science (TUS)
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Speaker Author-1 
Date Time 2023-01-28 10:40:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2022-83, NC2022-67 
Volume (vol) vol.122 
Number (no) no.373(NLP), no.374(NC) 
Page pp.11-15 
#Pages
Date of Issue 2023-01-21 (NLP, NC) 


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