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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…

数据结构与算法 · 计算机科学 2023-04-21 Jana Holznigenkemper , Christian Komusiewicz , Bernhard Seeger

Time-series data originate from various applications that describe specific observations or quantities of interest over time. Their analysis often involves the comparison across different time-series data sequences, which in turn requires…

机器学习 · 计算机科学 2024-02-15 Kishansingh Rajput , Duong Binh Nguyen , Guoning Chen

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…

数据库 · 计算机科学 2008-10-07 Daniel Lemire

In this paper, for the purpose of data centre energy consumption monitoring and analysis, we propose to detect the running programs in a server by classifying the observed power consumption series. Time series classification problem has…

神经与进化计算 · 计算机科学 2017-06-08 Yuanlong Li , Han Hu , Yonggang Wen , Jun Zhang

Fast and scalable alignment of time series is a fundamental challenge in many domains. The standard solution, Dynamic Time Warping (DTW), struggles with poor scalability and sensitivity to noise. We introduce TimePoint, a self-supervised…

计算机视觉与模式识别 · 计算机科学 2025-05-30 Ron Shapira Weber , Shahar Ben Ishay , Andrey Lavrinenko , Shahaf E. Finder , Oren Freifeld

This paper introduces $k$-Dynamic Time Warping ($k$-DTW), a novel dissimilarity measure for polygonal curves. $k$-DTW has stronger metric properties than Dynamic Time Warping (DTW) and is more robust to outliers than the Fr\'{e}chet…

数据结构与算法 · 计算机科学 2025-05-30 Amer Krivošija , Alexander Munteanu , André Nusser , Chris Schwiegelshohn

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…

数据结构与算法 · 计算机科学 2018-11-28 Jörg P. Bachmann , Johann-Christoph Freytag

The Dynamic Time Warping ("DTW") distance is widely used in time series analysis, be it for classification, clustering or similarity search. However, its quadratic time complexity prevents it from scaling. Strategies, based on early…

机器学习 · 计算机科学 2020-10-13 Matthieu Herrmann , Geoffrey I. Webb

Dynamic Time Warping (DTW) is widely used for temporal data processing. However, existing methods can neither learn the discriminative prototypes of different classes nor exploit such prototypes for further analysis. We propose…

计算机视觉与模式识别 · 计算机科学 2021-03-18 Xiaobin Chang , Frederick Tung , Greg Mori

Time Series Clustering is an important subroutine in many higher-level data mining analyses, including data editing for classifiers, summarization, and outlier detection. It is well known that for similarity search the superiority of…

机器学习 · 计算机科学 2016-12-05 Nurjahan Begum , Liudmila Ulanova , Hoang Anh Dau , Jun Wang , Eamonn Keogh

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…

机器学习 · 计算机科学 2023-01-18 Ahmed Shifaz , Charlotte Pelletier , Francois Petitjean , Geoffrey I. Webb

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…

计算几何 · 计算机科学 2026-04-10 Kevin Buchin , Maike Buchin , Jan Erik Swiadek , Sampson Wong

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…

We propose a novel time series averaging method based on Dynamic Time Warping (DTW). In contrast to previous methods, our algorithm preserves durational information and the distinctive durational features of the sequences due to a simple…

计算机视觉与模式识别 · 计算机科学 2021-09-03 George Sioros , Kristian Nymoen

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…

数据结构与算法 · 计算机科学 2022-04-19 Yoshifumi Sakai , Shunsuke Inenaga

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…

机器学习 · 统计学 2023-10-24 Vo Nguyen Le Duy , Ichiro Takeuchi

Many time series data mining problems can be solved with repeated use of distance measure. Examples of such tasks include similarity search, clustering, classification, anomaly detection and segmentation. For over two decades it has been…

机器学习 · 计算机科学 2022-09-07 Renjie Wu , Eamonn J. Keogh

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…

数据库 · 计算机科学 2012-01-16 Daniel Lemire

Dynamic Time Warping (DTW) and Geometric Edit Distance (GED) are basic similarity measures between curves or general temporal sequences (e.g., time series) that are represented as sequences of points in some metric space $(X,…

数据结构与算法 · 计算机科学 2020-01-29 Omer Gold , Micha Sharir

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…

数据结构与算法 · 计算机科学 2021-10-06 William Kuszmaul