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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…

数据库 · 计算机科学 2012-01-16 Daniel Lemire

The nearest neighbor method together with the dynamic time warping (DTW) distance is one of the most popular approaches in time series classification. This method suffers from high storage and computation requirements for large training…

机器学习 · 计算机科学 2017-03-27 Brijnesh Jain , David Schultz

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

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),…

机器学习 · 计算机科学 2025-10-28 Azim Ahmadzadeh , Mahsa Khazaei , Elaina Rohlfing

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…

计算机视觉与模式识别 · 计算机科学 2022-11-02 Lei Wang , Piotr Koniusz

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…

机器学习 · 计算机科学 2021-02-24 Samuel Cohen , Giulia Luise , Alexander Terenin , Brandon Amos , Marc Peter Deisenroth

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,…

机器学习 · 计算机科学 2019-03-11 Brijnesh Jain

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

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

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

For many machine learning algorithms such as $k$-Nearest Neighbor ($k$-NN) classifiers and $ k $-means clustering, often their success heavily depends on the metric used to calculate distances between different data points. An effective…

计算机视觉与模式识别 · 计算机科学 2010-03-03 Chunhua Shen , Junae Kim , Lei Wang

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

Distance metric learning is of fundamental interest in machine learning because the distance metric employed can significantly affect the performance of many learning methods. Quadratic Mahalanobis metric learning is a popular approach to…

机器学习 · 计算机科学 2013-02-15 Chunhua Shen , Junae Kim , Fayao Liu , Lei Wang , Anton van den Hengel

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

The need for appropriate ways to measure the distance or similarity between data is ubiquitous in machine learning, pattern recognition and data mining, but handcrafting such good metrics for specific problems is generally difficult. This…

机器学习 · 计算机科学 2019-01-25 Aurélien Bellet , Amaury Habrard , Marc Sebban

A number of machine learning algorithms are using a metric, or a distance, in order to compare individuals. The Euclidean distance is usually employed, but it may be more efficient to learn a parametric distance such as Mahalanobis metric.…

机器学习 · 计算机科学 2016-12-16 Hoel Le Capitaine

Dynamic Time Warping (DTW) has become the pragmatic choice for measuring distance between time series. However, it suffers from unavoidable quadratic time complexity when the optimal alignment matrix needs to be computed exactly. This…

机器学习 · 计算机科学 2023-06-02 Fabian Latorre , Chenghao Liu , Doyen Sahoo , Steven C. H. Hoi

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

The distance metric plays an important role in nearest neighbor (NN) classification. Usually the Euclidean distance metric is assumed or a Mahalanobis distance metric is optimized to improve the NN performance. In this paper, we study the…

机器学习 · 统计学 2007-06-26 Bharath K. Sriperumbudur , Gert R. G. Lanckriet

In instruction conditioned navigation, agents interpret natural language and their surroundings to navigate through an environment. Datasets for studying this task typically contain pairs of these instructions and reference trajectories.…

机器人学 · 计算机科学 2019-12-02 Gabriel Ilharco , Vihan Jain , Alexander Ku , Eugene Ie , Jason Baldridge