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Paper Abstract and Keywords
Presentation 2026-01-29 14:40
Unsupervised Classification of Chaotic Time Series Using Recurrence Triangles
Md. Mehedi Hasan, Masanori Shiro (AIST) NLP2025-107 MBE2025-47 NC2025-69
Abstract (in Japanese) (See Japanese page) 
(in English) The analysis of time-series data from nonlinear dynamical systems is fundamental to complexity science, yet classifying chaotic or near-chaotic signals remains a challenge due to noise sensitivity and subtle structural variability. In this study, we propose a recurrence triangle (RT)-based feature extraction framework that captures fine-scale recurrence structures through triangular motifs in recurrence plots. Using a vertex-based mapping with a top-k accumulation rule, RT probability distributions are transformed into compact, interpretable feature vectors suitable for unsupervised learning. We validate the approach on synthetic datasets generated from both continuous-time (Rössler and Lorenz) and discrete-time (Logistic map and autoregressive model) systems, each evaluated under several noise perturbations. Despite these perturbations, unsupervised clustering applied to RT-derived features consistently achieves high classification accuracies, demonstrating strong robustness to stochastic distortions. These results show that RT motifs capture intrinsic recurrence structure even under noise, offering a reliable and model-agnostic tool for unsupervised analysis of complex dynamical systems.
Keyword (in Japanese) (See Japanese page) 
(in English) Nonlinear dynamical systems / Time series classification / Unsupervised learning / Recurrence plot / Recurrence triangle / k-means clustering / /  
Reference Info. IEICE Tech. Rep., vol. 125, no. 344, NLP2025-107, pp. 102-105, Jan. 2026.
Paper # NLP2025-107 
Date of Issue 2026-01-21 (NLP, MBE, 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)
Download PDF NLP2025-107 MBE2025-47 NC2025-69

Conference Information
Committee NC MBE NLP IEE-MBE  
Conference Date 2026-01-28 - 2026-01-30 
Place (in Japanese) (See Japanese page) 
Place (in English) Kyushu Institute of Technology, Wakamatsu Campus 
Topics (in Japanese) (See Japanese page) 
Topics (in English) NC, NLP, ME, etc. 
Paper Information
Registration To NLP 
Conference Code 2026-01-NC-MBE-NLP-MBE 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Unsupervised Classification of Chaotic Time Series Using Recurrence Triangles 
Sub Title (in English)  
Keyword(1) Nonlinear dynamical systems  
Keyword(2) Time series classification  
Keyword(3) Unsupervised learning  
Keyword(4) Recurrence plot  
Keyword(5) Recurrence triangle  
Keyword(6) k-means clustering  
Keyword(7)  
Keyword(8)  
1st Author's Name Md. Mehedi Hasan  
1st Author's Affiliation National Institute of Advanced Industrial Science and Technology (AIST)
2nd Author's Name Masanori Shiro  
2nd Author's Affiliation National Institute of Advanced Industrial Science and Technology (AIST)
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Speaker Author-2 
Date Time 2026-01-29 14:40:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2025-107, MBE2025-47, NC2025-69 
Volume (vol) vol.125 
Number (no) no.344(NLP), no.345(MBE), no.346(NC) 
Page pp.102-105 
#Pages
Date of Issue 2026-01-21 (NLP, MBE, NC) 


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