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The Dynamic Time Warping (DTW) is a popular similarity measure between time series. The DTW fails to satisfy the triangle inequality and its computation requires quadratic time. Hence, to find closest neighbors quickly, we use bounding…

Databases · Computer Science 2008-10-07 Daniel Lemire

The Dynamic Time Warping (DTW) is a popular similarity measure between time series. The DTW fails to satisfy the triangle inequality and its computation requires quadratic time. Hence, to find closest neighbors quickly, we use bounding…

Databases · Computer Science 2012-01-16 Daniel Lemire

Dynamic Time Warping (DTW) is a popular similarity measure for aligning and comparing time series. Due to DTW's high computation time, lower bounds are often employed to screen poor matches. Many alternative lower bounds have been proposed,…

Machine Learning · Computer Science 2021-03-03 Geoffrey I. Webb , Francois Petitjean

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 a well-known similarity measure for time series. The standard dynamic programming approach to compute the DTW distance of two length-$n$ time series, however, requires~$O(n^2)$ time, which is often too slow for…

Data Structures and Algorithms · Computer Science 2020-04-21 Vincent Froese , Brijnesh Jain , Maciej Rymar , Mathias Weller

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

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

The similarity between a pair of time series, i.e., sequences of indexed values in time order, is often estimated by the dynamic time warping (DTW) distance, instead of any in the well-studied family of measures including the longest common…

Data Structures and Algorithms · Computer Science 2022-04-19 Yoshifumi Sakai , Shunsuke Inenaga

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

Dynamic time warping (DTW) is a useful method for aligning, comparing and combining time series, but it requires them to live in comparable spaces. In this work, we consider a setting in which time series live on different spaces without a…

Machine Learning · Computer Science 2021-02-24 Samuel Cohen , Giulia Luise , Alexander Terenin , Brandon Amos , Marc Peter Deisenroth

There has been renewed recent interest in developing effective lower bounds for Dynamic Time Warping (DTW) distance between time series. These have many applications in time series indexing, clustering, forecasting, regression and…

Machine Learning · Computer Science 2019-02-15 Chang Wei Tan , Francois Petitjean , 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

Among many existing distance measures for time series data, Dynamic Time Warping (DTW) distance has been recognized as one of the most accurate and suitable distance measures due to its flexibility in sequence alignment. However, DTW…

Databases · Computer Science 2009-06-16 Vit Niennattrakul , Pongsakorn Ruengronghirunya , Chotirat Ann Ratanamahatana

Dynamic Time Wrapping (DTW) is a widely used algorithm for measuring similarities between two time series. It is especially valuable in a wide variety of applications, such as clustering, anomaly detection, classification, or video…

Machine Learning · Computer Science 2023-01-31 Hugo Lerogeron , Romain Picot-Clemente , Alain Rakotomamonjy , Laurent Heutte

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

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

The Dynamic Time Warping (DTW) distance is a popular measure of similarity for a variety of sequence data. For comparing polygonal curves $\pi, \sigma$ in $\mathbb{R}^d$, it provides a robust, outlier-insensitive alternative to the…

Computational Geometry · Computer Science 2022-03-17 Karl Bringmann , Sándor Kisfaludi-Bak , Marvin Künnemann , Dániel Marx , André Nusser

Dynamic time warping distance (DTW) is a widely used distance measure between time series. The best known algorithms for computing DTW run in near quadratic time, and conditional lower bounds prohibit the existence of significantly faster…

Data Structures and Algorithms · Computer Science 2019-05-27 William Kuszmaul

Temporal data are naturally everywhere, especially in the digital era that sees the advent of big data and internet of things. One major challenge that arises during temporal data analysis and mining is the comparison of time series or…

Machine Learning · Computer Science 2017-11-15 Saeid Soheily-Khah , Pierre-François Marteau

Time series are high-dimensional and complex data objects, making their efficient search and indexing a longstanding challenge in data mining. Building on a recently introduced similarity measure, namely Multiscale Dubuc Distance (MDD),…

Machine Learning · Computer Science 2025-10-28 Azim Ahmadzadeh , Mahsa Khazaei , Elaina Rohlfing
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