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We propose in this paper a differentiable learning loss between time series, building upon the celebrated dynamic time warping (DTW) discrepancy. Unlike the Euclidean distance, DTW can compare time series of variable size and is robust to…

Machine Learning · Statistics 2018-02-21 Marco Cuturi , Mathieu Blondel

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

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…

Neural and Evolutionary Computing · Computer Science 2017-06-08 Yuanlong Li , Han Hu , Yonggang Wen , Jun Zhang

Within many real-world networks the links between pairs of nodes change over time. Thus, there has been a recent boom in studying temporal graphs. Recognizing patterns in temporal graphs requires a proximity measure to compare different…

Machine Learning · Computer Science 2020-07-07 Vincent Froese , Brijnesh Jain , Rolf Niedermeier , Malte Renken

The dynamic time warping (dtw) distance is an established tool for mining time series data. The DTW-Mean problem consists of computing a series which minimizes the so-called Fr\'echet function, that is, the sum of squared dtw-distances to a…

Optimization and Control · Mathematics 2019-12-06 Vincent Froese , Christoph Hansknecht

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

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,…

Machine Learning · Computer Science 2025-07-15 Jintao Qu , Zichong Wang , Chenhao Wu , Wenbin Zhang

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…

Computational Geometry · Computer Science 2026-04-10 Kevin Buchin , Maike Buchin , Jan Erik Swiadek , Sampson Wong

Continuous Dynamic Time Warping (CDTW) is a robust similarity measure for polygonal curves that has recently found a variety of applications. Despite its practical use, not much is known about the algorithmic complexity of computing it in…

Computational Geometry · Computer Science 2026-05-08 Kevin Buchin , Maike Buchin , Jan Erik Swiadek , Sampson Wong

In a way similar to the string-to-string correction problem we address time series similarity in the light of a time-series-to-time-series-correction problem for which the similarity between two time series is measured as the minimum cost…

Information Retrieval · Computer Science 2008-12-28 Pierre-François Marteau

Multidimensional time series are sequences of real valued vectors. They occur in different areas, for example handwritten characters, GPS tracking, and gestures of modern virtual reality motion controllers. Within these areas, a common task…

Machine Learning · Computer Science 2018-04-20 Jörg P. Bachmann , Johann-Christoph Freytag

We investigate metric learning in the context of dynamic time warping (DTW), the by far most popular dissimilarity measure used for the comparison and analysis of motion capture data. While metric learning enables a problem-adapted…

Machine Learning · Computer Science 2019-03-13 Babak Hosseini , Barbara Hammer

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

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

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.…

Robotics · Computer Science 2019-12-02 Gabriel Ilharco , Vihan Jain , Alexander Ku , Eugene Ie , Jason Baldridge

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…

Machine Learning · Computer Science 2024-02-15 Kishansingh Rajput , Duong Binh Nguyen , Guoning Chen

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…

Machine Learning · Statistics 2012-06-20 Makoto Yamada , Leonid Sigal , Michalis Raptis , Masashi Sugiyama

Time-series anomaly detection is critical for ensuring safety in high-stakes applications, where robustness is a fundamental requirement rather than a mere performance metric. Addressing the vulnerability of these systems to adversarial…

Machine Learning · Computer Science 2026-05-11 Shijie Liu , Tansu Alpcan , Christopher Leckie , Sarah Erfani

The proliferation and ubiquity of temporal data across many disciplines has sparked interest for similarity, classification and clustering methods specifically designed to handle time series data. A core issue when dealing with time series…

Machine Learning · Computer Science 2023-09-26 Iñigo Martinez

Pointwise matches between two time series are of great importance in time series analysis, and dynamic time warping (DTW) is known to provide generally reasonable matches. There are situations where time series alignment should be invariant…

Computer Vision and Pattern Recognition · Computer Science 2015-05-26 Tsu-Wei Chen , Meena Abdelmaseeh , Daniel Stashuk