AdaPDTW: An Efficient Abstract-Adaptive Piecewise Dynamic Time Warping for Time Series Classification

Dynamic Time Warping (DTW) offers precise similarity measure but suffers from high computational cost. To address this issue, we propose an abstract-adaptive PAR-DTW, which computes DTW in a low-dimensional piecewise abstract representation (PAR) space. Unlike existing methods that use globally unif...

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Main Authors: Qinglin Cai, Leiying Chen, Jian Shao, Ling Chen
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10994439/
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author Qinglin Cai
Leiying Chen
Jian Shao
Ling Chen
author_facet Qinglin Cai
Leiying Chen
Jian Shao
Ling Chen
author_sort Qinglin Cai
collection DOAJ
description Dynamic Time Warping (DTW) offers precise similarity measure but suffers from high computational cost. To address this issue, we propose an abstract-adaptive PAR-DTW, which computes DTW in a low-dimensional piecewise abstract representation (PAR) space. Unlike existing methods that use globally uniform pointwise measures, our approach clusters abstracts and learns adaptive pointwise measures for each cluster pair. We formulate a joint objective function that combines global classification loss with local clustering loss, and introduce an efficient optimization method based on closed-form solutions. This enhances local adaptability while significantly reducing computational complexity. Experimental results demonstrate that our method achieves precision comparable to DTW and significantly outperforms existing PAR-DTW methods, offering up to four orders of magnitude in speedup.
format Article
id doaj-art-d1b0269e536c43549d5dc34c79f1b8d0
institution OA Journals
issn 2169-3536
language English
publishDate 2025-01-01
publisher IEEE
record_format Article
series IEEE Access
spelling doaj-art-d1b0269e536c43549d5dc34c79f1b8d02025-08-20T02:25:47ZengIEEEIEEE Access2169-35362025-01-0113841888420110.1109/ACCESS.2025.356845310994439AdaPDTW: An Efficient Abstract-Adaptive Piecewise Dynamic Time Warping for Time Series ClassificationQinglin Cai0https://orcid.org/0000-0001-5219-7771Leiying Chen1https://orcid.org/0009-0009-3673-1423Jian Shao2Ling Chen3https://orcid.org/0000-0003-1934-5992Donghai Laboratory, Zhoushan, ChinaApple Inc., Shanghai, ChinaCollege of Computer Science and Technology, Zhejiang University, Hangzhou, ChinaCollege of Computer Science and Technology, Zhejiang University, Hangzhou, ChinaDynamic Time Warping (DTW) offers precise similarity measure but suffers from high computational cost. To address this issue, we propose an abstract-adaptive PAR-DTW, which computes DTW in a low-dimensional piecewise abstract representation (PAR) space. Unlike existing methods that use globally uniform pointwise measures, our approach clusters abstracts and learns adaptive pointwise measures for each cluster pair. We formulate a joint objective function that combines global classification loss with local clustering loss, and introduce an efficient optimization method based on closed-form solutions. This enhances local adaptability while significantly reducing computational complexity. Experimental results demonstrate that our method achieves precision comparable to DTW and significantly outperforms existing PAR-DTW methods, offering up to four orders of magnitude in speedup.https://ieeexplore.ieee.org/document/10994439/Time seriesdistance metric learningdynamic time warpingclassification
spellingShingle Qinglin Cai
Leiying Chen
Jian Shao
Ling Chen
AdaPDTW: An Efficient Abstract-Adaptive Piecewise Dynamic Time Warping for Time Series Classification
IEEE Access
Time series
distance metric learning
dynamic time warping
classification
title AdaPDTW: An Efficient Abstract-Adaptive Piecewise Dynamic Time Warping for Time Series Classification
title_full AdaPDTW: An Efficient Abstract-Adaptive Piecewise Dynamic Time Warping for Time Series Classification
title_fullStr AdaPDTW: An Efficient Abstract-Adaptive Piecewise Dynamic Time Warping for Time Series Classification
title_full_unstemmed AdaPDTW: An Efficient Abstract-Adaptive Piecewise Dynamic Time Warping for Time Series Classification
title_short AdaPDTW: An Efficient Abstract-Adaptive Piecewise Dynamic Time Warping for Time Series Classification
title_sort adapdtw an efficient abstract adaptive piecewise dynamic time warping for time series classification
topic Time series
distance metric learning
dynamic time warping
classification
url https://ieeexplore.ieee.org/document/10994439/
work_keys_str_mv AT qinglincai adapdtwanefficientabstractadaptivepiecewisedynamictimewarpingfortimeseriesclassification
AT leiyingchen adapdtwanefficientabstractadaptivepiecewisedynamictimewarpingfortimeseriesclassification
AT jianshao adapdtwanefficientabstractadaptivepiecewisedynamictimewarpingfortimeseriesclassification
AT lingchen adapdtwanefficientabstractadaptivepiecewisedynamictimewarpingfortimeseriesclassification