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We present a new space-efficient approach, (SparseDTW), to compute the Dynamic Time Warping (DTW) distance between two time series that always yields the optimal result. This is in contrast to other known approaches which typically…

Databases · Computer Science 2012-01-17 Ghazi Al-Naymat , Sanjay Chawla , Javid Taheri

The ubiquity of sequences in many domains enhances significant recent interest in sequence learning, for which a basic problem is how to measure the distance between sequences. Dynamic time warping (DTW) aligns two sequences by nonlinear…

Machine Learning · Computer Science 2017-03-06 Zhichen Gong , Huanhuan Chen

Despite the rapid progress on research in adversarial robustness of deep neural networks (DNNs), there is little principled work for the time-series domain. Since time-series data arises in diverse applications including mobile health,…

Machine Learning · Computer Science 2023-05-10 Taha Belkhouja , Yan Yan , Janardhan Rao Doppa

Many tasks in music information retrieval (MIR) involve weakly aligned data, where exact temporal correspondences are unknown. The connectionist temporal classification (CTC) loss is a standard technique to learn feature representations…

Sound · Computer Science 2023-04-12 Michael Krause , Christof Weiß , Meinard Müller

Neural networks have achieved remarkable success in time series classification, but their reliance on large amounts of labeled data for training limits their applicability in cold-start scenarios. Moreover, they lack interpretability,…

Machine Learning · Computer Science 2025-07-15 Jintao Qu , Zichong Wang , Chenhao Wu , Wenbin Zhang

Dynamic Time Warping (DTW) is an algorithm to align temporal sequences with possible local non-linear distortions, and has been widely applied to audio, video and graphics data alignments. DTW is essentially a point-to-point matching method…

Computer Vision and Pattern Recognition · Computer Science 2016-06-07 Jiaping Zhao , Laurent Itti

Pointwise matches between two time series are of great importance in time series analysis, and dynamic time warping (DTW) is known to provide generally reasonable matches. There are situations where time series alignment should be invariant…

Computer Vision and Pattern Recognition · Computer Science 2015-05-26 Tsu-Wei Chen , Meena Abdelmaseeh , Daniel Stashuk

Dynamic Time Warping (DTW), and its constrained (CDTW) and weighted (WDTW) variants, are time series distances with a wide range of applications. They minimize the cost of non-linear alignments between series. CDTW and WDTW have been…

Machine Learning · Computer Science 2021-11-29 Matthieu Herrmann , Geoffrey I. Webb

Dynamic Time Warping (DTW) is a widely used similarity measure for comparing strings that encode time series data, with applications to areas including bioinformatics, signature verification, and speech recognition. The standard…

Data Structures and Algorithms · Computer Science 2022-07-05 Zoe Xi , William Kuszmaul

The dynamic time warping (DTW) is a widely-used method that allows us to efficiently compare two time series that can vary in speed. Given two strings $A$ and $B$ of respective lengths $m$ and $n$, there is a fundamental dynamic programming…

Data Structures and Algorithms · Computer Science 2020-07-30 Akihiro Nishi , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

Dynamic Time Warping (DTW) is used for matching pairs of sequences and celebrated in applications such as forecasting the evolution of time series, clustering time series or even matching sequence pairs in few-shot action recognition. The…

Computer Vision and Pattern Recognition · Computer Science 2022-11-02 Lei Wang , Piotr Koniusz

The literature postulates that the dynamic time warping (dtw) distance can cope with temporal variations but stores and processes time series in a form as if the dtw-distance cannot cope with such variations. To address this inconsistency,…

Machine Learning · Computer Science 2019-03-11 Brijnesh Jain

Dynamic Time Warping is arguably the most popular similarity measure for time series, where we define a time series to be a one-dimensional polygonal curve. The drawback of Dynamic Time Warping is that it is sensitive to the sampling rate…

Computational Geometry · Computer Science 2023-04-18 Kevin Buchin , André Nusser , Sampson Wong

Similarity measures for time series are important problems for time series classification. To handle the nonlinear time distortions, Dynamic Time Warping (DTW) has been widely used. However, DTW is not learnable and suffers from a trade-off…

Computer Vision and Pattern Recognition · Computer Science 2023-09-14 Shinnosuke Matsuo , Xiaomeng Wu , Gantugs Atarsaikhan , Akisato Kimura , Kunio Kashino , Brian Kenji Iwana , Seiichi Uchida

Modern applications such as voice recognition rely on the ability to compare signals to pre-recorded ones to classify them. However, this comparison typically needs to ignore differences due to signal noise, temporal offset, signal…

Machine Learning · Computer Science 2022-06-16 Arvind Seshan

Dictionary learning is an effective tool for pattern recognition and classification of time series data. Among various dictionary learning techniques, the dynamic time warping (DTW) is commonly used for dealing with temporal delays,…

Machine Learning · Statistics 2023-07-03 Ruiyu Xu , Chao Wang , Yongxiang Li , Jianguo Wu

It is well understood that Dynamic Time Warping (DTW) is effective in revealing similarities between time series that do not align perfectly. In this paper, we illustrate this on spectroscopy time-series data. We show that DTW is effective…

Machine Learning · Computer Science 2020-10-13 Vivek Mahato , Pádraig Cunningham

Full Waveform Inversion (FWI) is a powerful technique for estimating high-resolution subsurface velocity models by minimizing the discrepancy between modeled and observed seismic data. However, the oscillatory nature of seismic waveforms…

The Dynamic Time Warping (DTW) distance is a popular similarity measure for polygonal curves (i.e., sequences of points). It finds many theoretical and practical applications, especially for temporal data, and is known to be a robust,…

Computational Geometry · Computer Science 2023-11-14 Karl Bringmann , Nick Fischer , Ivor van der Hoog , Evangelos Kipouridis , Tomasz Kociumaka , Eva Rotenberg

In this work, we consider the problem of sequence-to-sequence alignment for signals containing outliers. Assuming the absence of outliers, the standard Dynamic Time Warping (DTW) algorithm efficiently computes the optimal alignment between…

Computer Vision and Pattern Recognition · Computer Science 2021-08-30 Nikita Dvornik , Isma Hadji , Konstantinos G. Derpanis , Animesh Garg , Allan D. Jepson