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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

Time-series generated by end-users, edge devices, and different wearables are mostly unlabelled. We propose a method to auto-generate labels of un-labelled time-series, exploiting very few representative labelled time-series. Our method is…

Machine Learning · Computer Science 2021-07-13 Soma Bandyopadhyay , Anish Datta , Arpan Pal

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…

Computer Vision and Pattern Recognition · Computer Science 2022-11-02 Lei Wang , Piotr Koniusz

The Dynamic Time Warping (DTW) distance is a popular measure of similarity for a variety of sequence data. For comparing polygonal curves $\pi, \sigma$ in $\mathbb{R}^d$, it provides a robust, outlier-insensitive alternative to the…

Computational Geometry · Computer Science 2022-03-17 Karl Bringmann , Sándor Kisfaludi-Bak , Marvin Künnemann , Dániel Marx , André Nusser

Deep time series metric learning is challenging due to the difficult trade-off between temporal invariance to nonlinear distortion and discriminative power in identifying non-matching sequences. This paper proposes a novel neural…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Shinnosuke Matsuo , Xiaomeng Wu , Gantugs Atarsaikhan , Akisato Kimura , Kunio Kashino , Brian Kenji Iwana , Seiichi Uchida

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

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…

Machine Learning · Computer Science 2022-09-07 Renjie Wu , Eamonn J. Keogh

Dynamic time warping (DTW) is a well-known algorithm for time series elastic dissimilarity measure. Its ability to deal with non-linear time distortions makes it helpful in variety of data mining tasks. Such a task is also anomaly detection…

Machine Learning · Computer Science 2023-10-05 Matej Kloska , Gabriela Grmanova , Viera Rozinajova

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…

Machine Learning · Computer Science 2021-02-24 Samuel Cohen , Giulia Luise , Alexander Terenin , Brandon Amos , Marc Peter Deisenroth

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

Self-supervised learning has become a central strategy for representation learning, but the majority of architectures used for encoding data have only been validated on regularly-sampled inputs such as images, audios. and videos. In many…

Machine Learning · Statistics 2025-10-24 Yunyi Shen , Alexander Gagliano

This paper addresses learning end-to-end models for time series data that include a temporal alignment step via dynamic time warping (DTW). Existing approaches to differentiable DTW either differentiate through a fixed warping path or apply…

Machine Learning · Computer Science 2023-03-21 Ming Xu , Sourav Garg , Michael Milford , Stephen Gould

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

It is well understood that Dynamic Time Warping (DTW) is effective in revealing similarities between time series that do not align perfectly. In this paper, we illustrate this on spectroscopy time-series data. We show that DTW is effective…

Machine Learning · Computer Science 2020-10-13 Vivek Mahato , Pádraig Cunningham

Comparing time series is essential in various tasks such as clustering and classification. While elastic distance measures that allow warping provide a robust quantitative comparison, a qualitative comparison on top of them is missing.…

Machine Learning · Computer Science 2025-06-19 Simiao Lin , Wannes Meert , Pieter Robberechts , Hendrik Blockeel

For a self-driving car to operate reliably, its perceptual system must generalize to the end-user's environment -- ideally without additional annotation efforts. One potential solution is to leverage unlabeled data (e.g., unlabeled LiDAR…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Yurong You , Cheng Perng Phoo , Katie Z Luo , Travis Zhang , Wei-Lun Chao , Bharath Hariharan , Mark Campbell , Kilian Q. Weinberger

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

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

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

Unsupervised learning of time series data, also known as temporal clustering, is a challenging problem in machine learning. Here we propose a novel algorithm, Deep Temporal Clustering (DTC), to naturally integrate dimensionality reduction…

Machine Learning · Computer Science 2018-02-06 Naveen Sai Madiraju , Seid M. Sadat , Dimitry Fisher , Homa Karimabadi