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We propose a novel time series averaging method based on Dynamic Time Warping (DTW). In contrast to previous methods, our algorithm preserves durational information and the distinctive durational features of the sequences due to a simple…

Computer Vision and Pattern Recognition · Computer Science 2021-09-03 George Sioros , Kristian Nymoen

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

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

1-Nearest Neighbor with the Dynamic Time Warping (DTW) distance is one of the most effective classifiers on time series domain. Since the global constraint has been introduced in speech community, many global constraint models have been…

Artificial Intelligence · Computer Science 2009-03-03 Vit Niennattrakul , Chotirat Ann Ratanamahatana

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

Query-by-example search often uses dynamic time warping (DTW) for comparing queries and proposed matching segments. Recent work has shown that comparing speech segments by representing them as fixed-dimensional vectors --- acoustic word…

Computation and Language · Computer Science 2017-06-14 Shane Settle , Keith Levin , Herman Kamper , Karen Livescu

This paper introduces $k$-Dynamic Time Warping ($k$-DTW), a novel dissimilarity measure for polygonal curves. $k$-DTW has stronger metric properties than Dynamic Time Warping (DTW) and is more robust to outliers than the Fr\'{e}chet…

Data Structures and Algorithms · Computer Science 2025-05-30 Amer Krivošija , Alexander Munteanu , André Nusser , Chris Schwiegelshohn

Elastic distances like dynamic time warping (DTW) are central to time series machine learning because they compare sequences under local temporal misalignment. Soft-DTW is an adaptation of DTW that can be used as a gradient-based loss by…

Machine Learning · Computer Science 2026-05-04 Christopher Holder , Anthony Bagnall

Motif discovery is a fundamental step in data mining tasks for time-series data such as clustering, classification and anomaly detection. Even though many papers have addressed the problem of how to find motifs in time-series by proposing…

Machine Learning · Computer Science 2020-04-20 Maria Inês Silva , Roberto Henriques

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), and its constrained (CDTW) and weighted (WDTW) variants, are time series distances with a wide range of applications. They minimize the cost of non-linear alignments between series. CDTW and WDTW have been…

Machine Learning · Computer Science 2021-11-29 Matthieu Herrmann , Geoffrey I. Webb

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

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

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

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 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

Dynamic Time Warping (DTW) is a popular time series distance measure that aligns the points in two series with one another. These alignments support warping of the time dimension to allow for processes that unfold at differing rates. The…

Machine Learning · Computer Science 2023-03-30 Matthieu Herrmann , Chang Wei Tan , Geoffrey I. Webb

Full Waveform Inversion (FWI) is a powerful technique for estimating high-resolution subsurface velocity models by minimizing the discrepancy between modeled and observed seismic data. However, the oscillatory nature of seismic waveforms…

The nearest neighbor method together with the dynamic time warping (DTW) distance is one of the most popular approaches in time series classification. This method suffers from high storage and computation requirements for large training…

Machine Learning · Computer Science 2017-03-27 Brijnesh Jain , David Schultz

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