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The dynamic time warping (DTW) is a widely-used method that allows us to efficiently compare two time series that can vary in speed. Given two strings $A$ and $B$ of respective lengths $m$ and $n$, there is a fundamental dynamic programming…

Data Structures and Algorithms · Computer Science 2020-07-30 Akihiro Nishi , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

Dynamic Time Warping (DTW) is a widely used similarity measure for comparing strings that encode time series data, with applications to areas including bioinformatics, signature verification, and speech recognition. The standard…

Data Structures and Algorithms · Computer Science 2022-07-05 Zoe Xi , William Kuszmaul

Audio-to-score alignment aims at generating an accurate mapping between a performance audio and the score of a given piece. Standard alignment methods are based on Dynamic Time Warping (DTW) and employ handcrafted features. We explore the…

Audio and Speech Processing · Electrical Eng. & Systems 2020-07-29 Ruchit Agrawal , Simon Dixon

Modern applications such as voice recognition rely on the ability to compare signals to pre-recorded ones to classify them. However, this comparison typically needs to ignore differences due to signal noise, temporal offset, signal…

Machine Learning · Computer Science 2022-06-16 Arvind Seshan

Dynamic Time Warping (DTW) is an algorithm to align temporal sequences with possible local non-linear distortions, and has been widely applied to audio, video and graphics data alignments. DTW is essentially a point-to-point matching method…

Computer Vision and Pattern Recognition · Computer Science 2016-06-07 Jiaping Zhao , Laurent Itti

Dynamic time warping distance (DTW) is a widely used distance measure between time series. The best known algorithms for computing DTW run in near quadratic time, and conditional lower bounds prohibit the existence of significantly faster…

Data Structures and Algorithms · Computer Science 2019-05-27 William Kuszmaul

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

Dynamic Time Warping (DTW) is a well-known similarity measure for time series. The standard dynamic programming approach to compute the DTW distance of two length-$n$ time series, however, requires~$O(n^2)$ time, which is often too slow for…

Data Structures and Algorithms · Computer Science 2020-04-21 Vincent Froese , Brijnesh Jain , Maciej Rymar , Mathias Weller

DTW calculates the similarity or alignment between two signals, subject to temporal warping. However, its computational complexity grows exponentially with the number of time-series. Although there have been algorithms developed that are…

Machine Learning · Computer Science 2019-03-25 Soheil Khorram , Melvin G McInnis , Emily Mower Provost

Computing an accurate mean of a set of time series is a critical task in applications like nearest-neighbor classification and clustering of time series. While there are many distance functions for time series, the most popular distance…

Data Structures and Algorithms · Computer Science 2022-09-29 Jana Holznigenkemper , Christian Komusiewicz , Bernhard Seeger

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

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 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

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…

Machine Learning · Computer Science 2023-06-02 Fabian Latorre , Chenghao Liu , Doyen Sahoo , Steven C. H. Hoi

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 ubiquity of sequences in many domains enhances significant recent interest in sequence learning, for which a basic problem is how to measure the distance between sequences. Dynamic time warping (DTW) aligns two sequences by nonlinear…

Machine Learning · Computer Science 2017-03-06 Zhichen Gong , Huanhuan Chen

We investigate usage of dynamic time warping (DTW) algorithm for aligning raw signal data from MinION sequencer. DTW is mostly using for fast alignment for selective sequencing to quickly determine whether a read comes from sequence of…

Quantitative Methods · Quantitative Biology 2017-05-05 Vladimír Boža , Broňa Brejová , Tomáš Vinař

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

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…

Data Structures and Algorithms · Computer Science 2023-04-21 Jana Holznigenkemper , Christian Komusiewicz , Bernhard Seeger

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
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