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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 in this paper a differentiable learning loss between time series, building upon the celebrated dynamic time warping (DTW) discrepancy. Unlike the Euclidean distance, DTW can compare time series of variable size and is robust to…

Machine Learning · Statistics 2018-02-21 Marco Cuturi , Mathieu Blondel

We investigate metric learning in the context of dynamic time warping (DTW), the by far most popular dissimilarity measure used for the comparison and analysis of motion capture data. While metric learning enables a problem-adapted…

Machine Learning · Computer Science 2019-03-13 Babak Hosseini , Barbara Hammer

The elasticity of the DTW metric provides a more flexible comparison between time series and is used in numerous machine learning domains such as classification or clustering. However, it does not align the measurements at the beginning and…

Data Structures and Algorithms · Computer Science 2024-02-13 Lucas Foulon , Ilyes Korichi , Xavier Millot

We present an evolutionary programming algorithm for solving the dynamic routing and wavelength assignment (DRWA) problem in optical wavelength-division multiplexing (WDM) networks under wavelength continuity constraint. We assume an ideal…

Networking and Internet Architecture · Computer Science 2010-07-15 Urmila Bhanja , Sudipta Mahapatra , Rajarshi Roy

Audio alignment is a fundamental preprocessing step in many MIR pipelines. For two audio clips with M and N frames, respectively, the most popular approach, dynamic time warping (DTW), has O(MN) requirements in both memory and computation,…

Sound · Computer Science 2020-08-07 Christopher Tralie , Elizabeth Dempsey

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

In recent years, non-intrusive load monitoring (NILM) technology has attracted much attention in the related research field by virtue of its unique advantage of utilizing single meter data to achieve accurate decomposition of device-level…

Signal Processing · Electrical Eng. & Systems 2025-04-24 Hangxu Liu , Yaojie Sun , Yu Wang

There has been renewed recent interest in developing effective lower bounds for Dynamic Time Warping (DTW) distance between time series. These have many applications in time series indexing, clustering, forecasting, regression and…

Machine Learning · Computer Science 2019-02-15 Chang Wei Tan , Francois Petitjean , Geoffrey I. Webb

Time domain astronomy and the increasing number of exoplanet candidates call for reliable, robust, and automatic wavelength calibration. We present an algorithm for wavelength calibrating \'echelle spectrographs that uses order-by-order…

Instrumentation and Methods for Astrophysics · Physics 2020-06-24 G. M. Brandt , T. D. Brandt , C. McCully

This work presents a fully-digital high-accuracy real-time calibration procedure for frequency and time alignment of open-loop wirelessly coordinated coherent distributed antenna array (CDA) modems, enabling radio frequency (RF) phase…

Signal Processing · Electrical Eng. & Systems 2025-12-02 Jason M. Merlo , Samuel Wagner , John Lancaster , Jeffrey A. Nanzer

Many tasks in music information retrieval (MIR) involve weakly aligned data, where exact temporal correspondences are unknown. The connectionist temporal classification (CTC) loss is a standard technique to learn feature representations…

Sound · Computer Science 2023-04-12 Michael Krause , Christof Weiß , Meinard Müller

Diffusing wave spectroscopy (DWS) is a well-known set of methods to measure the temporal dynamics of dynamic samples. In DWS, dynamic samples scatter the incident coherent light, and the information of the temporal dynamics is encoded in…

Optics · Physics 2024-06-12 Jian Xu , Ali K. Jahromi , Changhuei Yang

The dynamic time warping (DTW) distance has been used as a misfit function for wave-equation inversion to mitigate the local minima issue. However, the original DTW distance is not smooth; therefore it can yield a strong discontinuity in…

Geophysics · Physics 2022-03-22 Fuqiang Chen , Daniel Peter , Matteo Ravasi

We propose in this paper a new family of kernels to handle times series, notably speech data, within the framework of kernel methods which includes popular algorithms such as the Support Vector Machine. These kernels elaborate on the well…

Computer Vision and Pattern Recognition · Computer Science 2009-11-27 Marco Cuturi , Jean-Philippe Vert , Oystein Birkenes , Tomoko Matsui

We introduce and apply a methodology based on dynamic time warping (DTW) to compare the whole set of gamma-ray light curves reported in the Third Fermi-Large Area Telescope Pulsar Catalogue. Our method allows us to quantitatively measure…

High Energy Astrophysical Phenomena · Physics 2025-03-05 C. R. García , Diego F. Torres

The increase in the use of photovoltaic (PV) energy in the world has shown that the useful life and maintenance of a PV plant directly depend on theability to quickly detect severe faults on a PV plant. To solve this problem of detection,…

We propose a time-varying optimal window width (TVOWW) selection scheme to optimize the performance of several nonlinear-type time-frequency analyses, including the reassignment method, and the synchrosqueezing transform (SST) and its…

Data Analysis, Statistics and Probability · Physics 2021-06-21 Yae-lin Sheu , Liang-Yan Hsu , Pi-Tai Chou , Hau-tieng Wu

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

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
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