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Measuring similarities between unlabeled time series trajectories is an important problem in domains as diverse as medicine, astronomy, finance, and computer vision. It is often unclear what is the appropriate metric to use because of the…

机器学习 · 计算机科学 2018-10-25 Abubakar Abid , James Zou

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…

计算工程、金融与科学 · 计算机科学 2026-01-27 Sir-Lord Wiafe , Vince D. Calhoun

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,…

机器学习 · 计算机科学 2025-07-15 Jintao Qu , Zichong Wang , Chenhao Wu , Wenbin Zhang

The widespread adoption of smart meters for monitoring energy consumption has generated vast quantities of high-resolution time series data which remains underutilised. While clustering has emerged as a fundamental tool for mining smart…

Quantifying similarities between time series in a meaningful way remains a challenge in time series analysis, despite many advances in the field. Most real-world solutions still rely on a few popular measures, such as Euclidean Distance…

机器学习 · 计算机科学 2024-11-18 Mahsa Khazaei , Azim Ahmadzadeh , Krishna Rukmini Puthucode

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,…

机器学习 · 计算机科学 2021-03-03 Geoffrey I. Webb , Francois Petitjean

Recently there has been an increase in the studies on time-series data mining specifically time-series clustering due to the vast existence of time-series in various domains. The large volume of data in the form of time-series makes it…

机器学习 · 计算机科学 2019-12-06 Hossein Kamalzadeh , Abbas Ahmadi , Saeed Mansour

Starting from a dataset with input/output time series generated by multiple deterministic linear dynamical systems, this paper tackles the problem of automatically clustering these time series. We propose an extension to the so-called…

系统与控制 · 计算机科学 2018-03-09 Oliver Lauwers , Bart De Moor

Analyzing numerous or long time series is difficult in practice due to the high storage costs and computational requirements. Therefore, techniques have been proposed to generate compact similarity-preserving representations of time series,…

机器学习 · 计算机科学 2022-08-29 Pieter Robberechts , Wannes Meert , Jesse Davis

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…

机器学习 · 计算机科学 2019-02-15 Chang Wei Tan , Francois Petitjean , Geoffrey I. Webb

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 clustering is an essential machine learning task with applications in many disciplines. While the majority of the methods focus on time series taking values on the real line, very few works consider time series defined on the…

应用统计 · 统计学 2024-02-15 Ángel López-Oriona , Ying Sun , Rosa M. Crujeiras

Clustering high-dimensional data is a critical challenge in machine learning due to the curse of dimensionality and the presence of noise. Traditional clustering algorithms often fail to capture the intrinsic structures in such data. This…

机器学习 · 计算机科学 2025-03-21 Joanikij Chulev , Angela Mladenovska

We applied the clustering technique using DTW (dynamic time wrapping) analysis to XRD (X-ray diffraction) spectrum patterns in order to identify the microscopic structures of substituents introduced in the main phase of magnetic alloys. The…

The goal of temporal alignment is to establish time correspondence between two sequences, which has many applications in a variety of areas such as speech processing, bioinformatics, computer vision, and computer graphics. In this paper, we…

机器学习 · 统计学 2012-06-20 Makoto Yamada , Leonid Sigal , Michalis Raptis , Masashi Sugiyama

The concept of sample mean in dynamic time warping (DTW) spaces has been successfully applied to improve pattern recognition systems and generalize centroid-based clustering algorithms. Its existence has neither been proved nor challenged.…

计算机视觉与模式识别 · 计算机科学 2018-03-06 Brijnesh J. Jain , David Schultz

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…

计算机视觉与模式识别 · 计算机科学 2021-08-30 Nikita Dvornik , Isma Hadji , Konstantinos G. Derpanis , Animesh Garg , Allan D. Jepson

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…

计算几何 · 计算机科学 2022-05-03 Maike Buchin , Anne Driemel , Koen van Greevenbroek , Ioannis Psarros , Dennis Rohde

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

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…

机器学习 · 计算机科学 2019-01-29 Ricards Marcinkevics , Steven Kelk , Carlo Galuzzi , Berthold Stegemann