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To effectively search for the optimal motion template in dynamic multidimensional space, this paper proposes a novel optimization algorithm, Dynamic Dimension Wrapping (DDW).The algorithm combines Dynamic Time Warping (DTW) and Euclidean…

Machine Learning · Computer Science 2024-11-18 Dongnan Jin , Yali Liu , Qiuzhi Song , Xunju Ma , Yue Liu , Dehao Wu

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

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

Multivariate time series naturally exist in many fields, like energy, bioinformatics, signal processing, and finance. Most of these applications need to be able to compare these structured data. In this context, dynamic time warping (DTW)…

Machine Learning · Computer Science 2016-10-18 Maria-Irina Nicolae , Éric Gaussier , Amaury Habrard , Marc Sebban

Dynamic time warping distance (DTW) is a widely used distance measure between time series $x, y \in \Sigma^n$. It was shown by Abboud, Backurs, and Williams that in the \emph{binary case}, where $|\Sigma| = 2$, DTW can be computed in time…

Data Structures and Algorithms · Computer Science 2021-10-06 William Kuszmaul

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

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

Among many existing distance measures for time series data, Dynamic Time Warping (DTW) distance has been recognized as one of the most accurate and suitable distance measures due to its flexibility in sequence alignment. However, DTW…

Databases · Computer Science 2009-06-16 Vit Niennattrakul , Pongsakorn Ruengronghirunya , Chotirat Ann Ratanamahatana

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

Time series averaging in dynamic time warping (DTW) spaces has been successfully applied to improve pattern recognition systems. This article proposes and analyzes subgradient methods for the problem of finding a sample mean in DTW spaces.…

Computer Vision and Pattern Recognition · Computer Science 2017-01-24 David Schultz , Brijnesh Jain

Time Series Classification (TSC) is an important problem with numerous applications in science and technology. Dissimilarity-based approaches, such as Dynamic Time Warping (DTW), are classical methods for distinguishing time series when…

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 real-world time series recognition applications, it is possible to have data with varying length patterns. However, when using artificial neural networks (ANN), it is standard practice to use fixed-sized mini-batches. To do this, time…

Machine Learning · Computer Science 2022-12-14 Brian Kenji Iwana

The literature postulates that the dynamic time warping (dtw) distance can cope with temporal variations but stores and processes time series in a form as if the dtw-distance cannot cope with such variations. To address this inconsistency,…

Machine Learning · Computer Science 2019-03-11 Brijnesh Jain

In this proof of concept, we use Computer Vision (CV) methods to extract pose information out of exercise videos. We then employ a modified version of Dynamic Time Warping (DTW) to calculate the deviation from a gold standard execution of…

Computer Vision and Pattern Recognition · Computer Science 2023-10-16 Sebastian Dill , Maurice Rohr

Measuring similarities between unlabeled time series trajectories is an important problem in domains as diverse as medicine, astronomy, finance, and computer vision. It is often unclear what is the appropriate metric to use because of the…

Machine Learning · Computer Science 2018-10-25 Abubakar Abid , James Zou

We give the first subquadratic-time approximation schemes for dynamic time warping (DTW) and edit distance (ED) of several natural families of point sequences in $\mathbb{R}^d$, for any fixed $d \ge 1$. In particular, our algorithms compute…

Computational Geometry · Computer Science 2016-01-11 Pankaj K. Agarwal , Kyle Fox , Jiangwei Pan , Rex Ying

The similarity between a pair of time series, i.e., sequences of indexed values in time order, is often estimated by the dynamic time warping (DTW) distance, instead of any in the well-studied family of measures including the longest common…

Data Structures and Algorithms · Computer Science 2022-04-19 Yoshifumi Sakai , Shunsuke Inenaga

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 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