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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

Analyzing numerous or long time series is difficult in practice due to the high storage costs and computational requirements. Therefore, techniques have been proposed to generate compact similarity-preserving representations of time series,…

Machine Learning · Computer Science 2022-08-29 Pieter Robberechts , Wannes Meert , Jesse Davis

Soft dynamic time warping (SDTW) is a differentiable loss function that allows for training neural networks from weakly aligned data. Typically, SDTW is used to iteratively compute and refine soft alignments that compensate for temporal…

Audio and Speech Processing · Electrical Eng. & Systems 2023-08-11 Johannes Zeitler , Simon Deniffel , Michael Krause , Meinard Müller

The Fr\'echet distance is a popular similarity measure that is well-understood for polygonal curves in $\mathbb{R}^d$: near-quadratic time algorithms exist, and conditional lower bounds suggest that these results cannot be improved…

Computational Geometry · Computer Science 2025-05-09 Thijs van der Horst , Marc van Kreveld , Tim Ophelders , Bettina Speckmann

Online signature verification is the process of verifying time series signature data which is generally obtained from the tablet-based device. Unlike offline signature images, the online signature image data consists of points that are…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Azhar Ahmad Jaini , Ghazali Sulong , Amjad Rehman

Time series data can be found in almost every domain, ranging from the medical field to manufacturing and wireless communication. Generating realistic and useful exemplars and prototypes is a fundamental data analysis task. In this paper,…

The similarity of two polygonal curves can be measured using the Fr\'echet distance. We introduce the notion of a more robust Fr\'echet distance, where one is allowed to shortcut between vertices of one of the curves. This is a natural…

Computational Geometry · Computer Science 2013-06-19 Anne Driemel , Sariel Har-Peled

ECGs objectively reflects the working conditions of the hearts as these signals contain vast physiological and pathological information. In this work, in order to improve the efficiency and accuracy of "best so far" time series…

Signal Processing · Electrical Eng. & Systems 2021-11-02 Hua-Liang Wei

Energy companies often implement various demand response (DR) programs to better match electricity demand and supply by offering the consumers incentives to reduce their demand during critical periods. Classifying clients according to their…

Machine Learning · Computer Science 2022-10-19 Fadi AlMahamid , Katarina Grolinger

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…

In this paper we present a family of algorithms that can simultaneously align and cluster sets of multidimensional curves measured on a discrete time grid. Our approach is based on a generative mixture model that allows non-linear time…

Applications · Statistics 2012-12-12 Darya Chudova , Scott Gaffney , Padhraic Smyth

Building upon findings in computational model of handwriting learning and execution, we introduce the concept of stability to explain the difference between the actual movements performed during multiple execution of the subject's…

Computer Vision and Pattern Recognition · Computer Science 2024-05-21 Antonio Parziale , Moises Diaz , Miguel A. Ferrer , Angelo Marcelli

Dynamic time warping constitutes a major tool for analyzing time series. In particular, computing a mean series of a given sample of series in dynamic time warping spaces (by minimizing the Fr\'echet function) is a challenging computational…

Data Structures and Algorithms · Computer Science 2018-06-01 Markus Brill , Till Fluschnik , Vincent Froese , Brijnesh Jain , Rolf Niedermeier , David Schultz

When modeling coexpression networks from high-throughput time course data, Pearson Correlation Coefficient (PCC) is one of the most effective and popular similarity functions. However, its reliability is limited since it cannot capture…

Molecular Networks · Quantitative Biology 2014-10-17 Samantha Riccadonna , Giuseppe Jurman , Roberto Visintainer , Michele Filosi , Cesare Furlanello

Temporal alignment of multiple signals through time warping is crucial in many fields, such as classification within speech recognition or robot motion learning. Almost all related works are limited to data in Euclidean space. Although an…

Robotics · Computer Science 2025-07-15 Julian Richter , Christopher A. Erdös , Christian Scheurer , Jochen J. Steil , Niels Dehio

Clustering temporal and dynamically changing multivariate time series from real-world fields, called temporal clustering for short, has been a major challenge due to inherent complexities. Although several deep temporal clustering…

Machine Learning · Computer Science 2026-01-13 Zhi Wang , Yanni Li , Pingping Zheng , Yiyuan Jiao

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

Recently there has been an increase in the studies on time-series data mining specifically time-series clustering due to the vast existence of time-series in various domains. The large volume of data in the form of time-series makes it…

Machine Learning · Computer Science 2019-12-06 Hossein Kamalzadeh , Abbas Ahmadi , Saeed Mansour

The Fr\'echet distance is a popular distance measure between trajectories or curves in space, or between walks in graphs. We study computing the Fr\'echet distance between walks in the $d$-dimensional grid graphs, i.e. $\mathbb{Z}^d$ where…

Computational Geometry · Computer Science 2026-05-18 Jacobus Conradi , Ivor van der Hoog , Frederikke Uldahl , Eva Rotenberg

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