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Chatter detection from sensor signals has been an active field of research. While some success has been reported using several featurization tools and machine learning algorithms, existing methods have several drawbacks such as manual…

Signal Processing · Electrical Eng. & Systems 2019-08-06 Melih C. Yesilli , Firas A. Khasawneh , Andreas Otto

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

This paper addresses learning end-to-end models for time series data that include a temporal alignment step via dynamic time warping (DTW). Existing approaches to differentiable DTW either differentiate through a fixed warping path or apply…

Machine Learning · Computer Science 2023-03-21 Ming Xu , Sourav Garg , Michael Milford , Stephen Gould

Dynamic time warping ($\texttt{DTW}$) is one of the most used distance functions to compare time series, e.$\,$g. in nearest neighbor classifiers. Yet, fast state of the art algorithms only compare 1-dimensional time series efficiently. One…

Data Structures and Algorithms · Computer Science 2018-11-28 Jörg P. Bachmann , Johann-Christoph Freytag

Dynamic time warping (DTW) is an effective dissimilarity measure in many time series applications. Despite its popularity, it is prone to noises and outliers, which leads to singularity problem and bias in the measurement. The time…

Machine Learning · Computer Science 2022-08-04 Xiaomin Song , Qingsong Wen , Yan Li , Liang Sun

Elastic distances like dynamic time warping (DTW) are central to time series machine learning because they compare sequences under local temporal misalignment. Soft-DTW is an adaptation of DTW that can be used as a gradient-based loss by…

Machine Learning · Computer Science 2026-05-04 Christopher Holder , Anthony Bagnall

Dynamic time warping (DTW) is widely used to align time series evolving on mismatched timescales, yet most applications reduce alignment to a scalar distance. We introduce warp quantification analysis (WQA), a framework that derives…

Computational Engineering, Finance, and Science · Computer Science 2026-01-27 Sir-Lord Wiafe , Vince D. Calhoun

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

The dynamic time warping (dtw) distance fails to satisfy the triangle inequality and the identity of indiscernibles. As a consequence, the dtw-distance is not warping-invariant, which in turn results in peculiarities in data mining…

Machine Learning · Computer Science 2018-09-05 Brijnesh J. Jain

This paper contributes multivariate versions of seven commonly used elastic similarity and distance measures for time series data analytics. Elastic similarity and distance measures are a class of similarity measures that can compensate for…

Machine Learning · Computer Science 2023-01-18 Ahmed Shifaz , Charlotte Pelletier , Francois Petitjean , Geoffrey I. Webb

A time series is a sequence of data items; typical examples are streams of temperature measurements, stock ticker data, or gestures recorded with modern virtual reality motion controllers. Quite some research has been devoted to comparing…

Data Structures and Algorithms · Computer Science 2018-11-30 Jörg P. Bachmann , Johann-Christoph Freytag

The proliferation and ubiquity of temporal data across many disciplines has sparked interest for similarity, classification and clustering methods specifically designed to handle time series data. A core issue when dealing with time series…

Machine Learning · Computer Science 2023-09-26 Iñigo Martinez

Time Series Classification (TSC) is an important problem with numerous applications in science and technology. Dissimilarity-based approaches, such as Dynamic Time Warping (DTW), are classical methods for distinguishing time series when…

Continuous Dynamic Time Warping (CDTW) measures the similarity of polygonal curves robustly to outliers and to sampling rates, but the design and analysis of CDTW algorithms face multiple challenges. We show that CDTW cannot be computed…

Computational Geometry · Computer Science 2026-04-10 Kevin Buchin , Maike Buchin , Jan Erik Swiadek , Sampson Wong

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

A time series consists of a series of values or events obtained over repeated measurements in time. Analysis of time series represents and important tool in many application areas, such as stock market analysis, process and quality control,…

Artificial Intelligence · Computer Science 2013-12-30 Vladimir Kurbalija , Miloš Radovanović , Zoltan Geler , Mirjana Ivanović

In this paper, we propose a method of improving temporal Convolutional Neural Networks (CNN) by determining the optimal alignment of weights and inputs using dynamic programming. Conventional CNN convolutions linearly match the shared…

Computer Vision and Pattern Recognition · Computer Science 2019-02-08 Brian Kenji Iwana , Seiichi Uchida

We study variants of the mean problem under the $p$-Dynamic Time Warping ($p$-DTW) distance, a popular and robust distance measure for sequential data. In our setting we are given a set of finite point sequences over an arbitrary metric…

Computational Geometry · Computer Science 2022-05-03 Maike Buchin , Anne Driemel , Koen van Greevenbroek , Ioannis Psarros , Dennis Rohde

The computation of the distance of two time series is time-consuming for any elastic distance function that accounts for misalignments. Among those functions, DTW is the most prominent. However, a recent extensive evaluation has shown that…

Data Structures and Algorithms · Computer Science 2023-04-21 Jana Holznigenkemper , Christian Komusiewicz , Bernhard Seeger

Many real-world applications require aligning two temporal sequences, including bioinformatics, handwriting recognition, activity recognition, and human-robot coordination. Dynamic Time Warping (DTW) is a popular alignment method, but can…

Machine Learning · Computer Science 2021-09-21 Sridhar Mahadevan , Anup Rao , Georgios Theocharous , Jennifer Healey