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The Dynamic Time Warping (DTW) distance is a popular similarity measure for polygonal curves (i.e., sequences of points). It finds many theoretical and practical applications, especially for temporal data, and is known to be a robust,…

Computational Geometry · Computer Science 2023-11-14 Karl Bringmann , Nick Fischer , Ivor van der Hoog , Evangelos Kipouridis , Tomasz Kociumaka , Eva Rotenberg

The goal of dynamic time warping is to transform or warp time in order to approximately align two signals together. We pose the choice of warping function as an optimization problem with several terms in the objective. The first term…

Machine Learning · Computer Science 2019-06-03 Dave Deriso , Stephen Boyd

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

Dynamic Time Wrapping (DTW) is a widely used algorithm for measuring similarities between two time series. It is especially valuable in a wide variety of applications, such as clustering, anomaly detection, classification, or video…

Machine Learning · Computer Science 2023-01-31 Hugo Lerogeron , Romain Picot-Clemente , Alain Rakotomamonjy , Laurent Heutte

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

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

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

This paper addresses the challenge of collision-free motion planning in automated navigation within complex environments. Utilizing advancements in Deep Reinforcement Learning (DRL) and sensor technologies like LiDAR, we propose the TD3-DWA…

Robotics · Computer Science 2024-05-27 Hao Liu , Yi Shen , Chang Zhou , Yuelin Zou , Zijun Gao , Qi Wang

In recent years, neural networks achieved much success in various applications. The main challenge in training deep neural networks is the lack of sufficient data to improve the model's generalization and avoid overfitting. One of the…

Machine Learning · Computer Science 2021-08-24 Mohammad Akyash , Hoda Mohammadzade , Hamid Behroozi

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…

Databases · Computer Science 2008-10-07 Daniel Lemire

Temporal data are naturally everywhere, especially in the digital era that sees the advent of big data and internet of things. One major challenge that arises during temporal data analysis and mining is the comparison of time series or…

Machine Learning · Computer Science 2017-11-15 Saeid Soheily-Khah , Pierre-François Marteau

The vast majority of Dimensionality Reduction (DR) techniques rely on second-order statistics to define their optimization objective. Even though this provides adequate results in most cases, it comes with several shortcomings. The methods…

Computer Vision and Pattern Recognition · Computer Science 2017-08-21 Nikolaos Passalis , Anastasios Tefas

Temporal alignment of sequences is a fundamental challenge in many applications, such as computer vision and bioinformatics, where local time shifting needs to be accounted for. Misalignment can lead to poor model generalization, especially…

Machine Learning · Computer Science 2025-01-10 Afek Steinberg , Ran Eisenberg , Ofir Lindenbaum

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

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

We present an approach for computationally efficient dynamic time warping (DTW) and clustering of time-series data. The method frames the dynamic warping of time series datasets as an optimisation problem solved using dynamic programming,…

Signal Processing · Electrical Eng. & Systems 2024-10-10 Volkan Kumtepeli , Rebecca Perriment , David A. Howey

Dynamic time warping (DTW) is a robust similarity measure of time series. However, it does not satisfy triangular inequality and has high computational complexity, severely limiting its applications in similarity search on large-scale…

Information Retrieval · Computer Science 2020-02-12 Zhengxin Li

Path planning in the presence of dynamic obstacles is a challenging problem due to the added time dimension in search space. In approaches that ignore the time dimension and treat dynamic obstacles as static, frequent re-planning is…

Robotics · Computer Science 2016-05-24 Anirudh Vemula , Katharina Muelling , Jean Oh

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

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