| 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 |
Copyright and reproduction |
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) |
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| Keyword(8) |
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| 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 |
4 |
| Date of Issue |
2026-01-21 (NLP, MBE, NC) |