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We propose to learn multiple local Mahalanobis distance metrics to perform k-nearest neighbor (kNN) classification of temporal sequences. Temporal sequences are first aligned by dynamic time warping (DTW); given the alignment path,…

Machine Learning · Computer Science 2016-06-14 Jiaping Zhao , Zerong Xi , Laurent Itti

Building upon findings in computational model of handwriting learning and execution, we introduce the concept of stability to explain the difference between the actual movements performed during multiple execution of the subject's…

Computer Vision and Pattern Recognition · Computer Science 2024-05-21 Antonio Parziale , Moises Diaz , Miguel A. Ferrer , Angelo Marcelli

Measuring distance or similarity between time-series data is a fundamental aspect of many applications including classification, clustering, and ensembling/alignment. Existing measures may fail to capture similarities among local trends…

Machine Learning · Computer Science 2024-12-20 Ajitesh Srivastava

Soft dynamic time warping (SDTW) is a differentiable loss function that allows for training neural networks from weakly aligned data. Typically, SDTW is used to iteratively compute and refine soft alignments that compensate for temporal…

Audio and Speech Processing · Electrical Eng. & Systems 2023-08-11 Johannes Zeitler , Simon Deniffel , Michael Krause , Meinard Müller

In this paper, we propose a method of improving temporal Convolutional Neural Networks (CNN) by determining the optimal alignment of weights and inputs using dynamic programming. Conventional CNN convolutions linearly match the shared…

Computer Vision and Pattern Recognition · Computer Science 2019-02-08 Brian Kenji Iwana , Seiichi Uchida

Many real-world applications require aligning two temporal sequences, including bioinformatics, handwriting recognition, activity recognition, and human-robot coordination. Dynamic Time Warping (DTW) is a popular alignment method, but can…

Machine Learning · Computer Science 2021-09-21 Sridhar Mahadevan , Anup Rao , Georgios Theocharous , Jennifer Healey

Distance-based time series anomaly detection methods are prevalent due to their relative non-parametric nature and interpretability. However, the commonly used Euclidean distance is sensitive to noise. While existing works have explored…

Machine Learning · Computer Science 2024-03-05 Hanyang Yuan , Qinglin Cai , Keting Yin

Similarity measures for time series are important problems for time series classification. To handle the nonlinear time distortions, Dynamic Time Warping (DTW) has been widely used. However, DTW is not learnable and suffers from a trade-off…

Computer Vision and Pattern Recognition · Computer Science 2023-09-14 Shinnosuke Matsuo , Xiaomeng Wu , Gantugs Atarsaikhan , Akisato Kimura , Kunio Kashino , Brian Kenji Iwana , Seiichi Uchida

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

Despite the rapid progress on research in adversarial robustness of deep neural networks (DNNs), there is little principled work for the time-series domain. Since time-series data arises in diverse applications including mobile health,…

Machine Learning · Computer Science 2023-05-10 Taha Belkhouja , Yan Yan , Janardhan Rao Doppa

The paper presents a novel method of finding a fragment in a long temporal sequence similar to the set of shorter sequences. We are the first to propose an algorithm for such a search that does not rely on computing the average sequence…

Data Structures and Algorithms · Computer Science 2024-09-04 Łukasz Borchmann , Dawid Jurkiewicz , Filip Graliński , Tomasz Górecki

In this work, we consider the problem of pattern matching under the dynamic time warping (DTW) distance motivated by potential applications in the analysis of biological data produced by the third generation sequencing. To measure the DTW…

Data Structures and Algorithms · Computer Science 2022-09-01 Garance Gourdel , Anne Driemel , Pierre Peterlongo , Tatiana Starikovskaya

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…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Ron Shapira Weber , Shahar Ben Ishay , Andrey Lavrinenko , Shahaf E. Finder , Oren Freifeld

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

A time series is a sequence of data items; typical examples are streams of temperature measurements, stock ticker data, or gestures recorded with modern virtual reality motion controllers. Quite some research has been devoted to comparing…

Data Structures and Algorithms · Computer Science 2018-11-30 Jörg P. Bachmann , Johann-Christoph Freytag

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 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…

Computational Engineering, Finance, and Science · Computer Science 2026-01-27 Sir-Lord Wiafe , Vince D. Calhoun

Over the last decade, time series motif discovery has emerged as a useful primitive for many downstream analytical tasks, including clustering, classification, rule discovery, segmentation, and summarization. In parallel, there has been an…

Machine Learning · Computer Science 2020-09-18 Sara Alaee , Kaveh Kamgar , Eamonn Keogh

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…

Computer Vision and Pattern Recognition · Computer Science 2021-08-30 Nikita Dvornik , Isma Hadji , Konstantinos G. Derpanis , Animesh Garg , Allan D. Jepson

Low-cost mobile rovers often operate on uneven terrain where small bumps or tilts are difficult to perceive visually but can significantly affect locomotion stability. To address this problem, we explore a smartphone-based structured-light…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Tanaka Nobuaki