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The classification of time series data is a well-studied problem with numerous practical applications, such as medical diagnosis and speech recognition. A popular and effective approach is to classify new time series in the same way as…

Machine Learning · Computer Science 2019-01-29 Ricards Marcinkevics , Steven Kelk , Carlo Galuzzi , Berthold Stegemann

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

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

The elasticity of the DTW metric provides a more flexible comparison between time series and is used in numerous machine learning domains such as classification or clustering. However, it does not align the measurements at the beginning and…

Data Structures and Algorithms · Computer Science 2024-02-13 Lucas Foulon , Ilyes Korichi , Xavier Millot

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

We investigate metric learning in the context of dynamic time warping (DTW), the by far most popular dissimilarity measure used for the comparison and analysis of motion capture data. While metric learning enables a problem-adapted…

Machine Learning · Computer Science 2019-03-13 Babak Hosseini , Barbara Hammer

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

We study statistical inference on the similarity/distance between two time-series under uncertain environment by considering a statistical hypothesis test on the distance obtained from Dynamic Time Warping (DTW) algorithm. The sampling…

Machine Learning · Statistics 2023-10-24 Vo Nguyen Le Duy , Ichiro Takeuchi

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

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

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

This paper presents an efficient approach for subsequence search in data streams. The problem consists in identifying coherent repetitions of a given reference time-series, eventually multi-variate, within a longer data stream. Dynamic Time…

Machine Learning · Computer Science 2019-07-17 Antonio Candelieri , Stanislav Fedorov , Enza Messina

DTW calculates the similarity or alignment between two signals, subject to temporal warping. However, its computational complexity grows exponentially with the number of time-series. Although there have been algorithms developed that are…

Machine Learning · Computer Science 2019-03-25 Soheil Khorram , Melvin G McInnis , Emily Mower Provost

Due to the massively increasing amount of available geospatial data and the need to present it in an understandable way, clustering this data is more important than ever. As clusters might contain a large number of objects, having a…

Machine Learning · Computer Science 2020-12-02 Milutin Brankovic , Kevin Buchin , Koen Klaren , André Nusser , Aleksandr Popov , Sampson Wong

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

Computing an accurate mean of a set of time series is a critical task in applications like nearest-neighbor classification and clustering of time series. While there are many distance functions for time series, the most popular distance…

Data Structures and Algorithms · Computer Science 2022-09-29 Jana Holznigenkemper , Christian Komusiewicz , Bernhard Seeger

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 a popular time series distance measure that aligns the points in two series with one another. These alignments support warping of the time dimension to allow for processes that unfold at differing rates. The…

Machine Learning · Computer Science 2023-03-30 Matthieu Herrmann , Chang Wei Tan , Geoffrey I. Webb

Dynamic time warping distance (DTW) is a widely used distance measure between time series $x, y \in \Sigma^n$. It was shown by Abboud, Backurs, and Williams that in the \emph{binary case}, where $|\Sigma| = 2$, DTW can be computed in time…

Data Structures and Algorithms · Computer Science 2021-10-06 William Kuszmaul

Many applications generate and consume temporal data and retrieval of time series is a key processing step in many application domains. Dynamic time warping (DTW) distance between time series of size N and M is computed relying on a dynamic…

Databases · Computer Science 2012-08-02 K. Selçuk Candan , Rosaria Rossini , Maria Luisa Sapino , Xiaolan Wang