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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…

数据结构与算法 · 计算机科学 2025-05-30 Amer Krivošija , Alexander Munteanu , André Nusser , Chris Schwiegelshohn

In this work, we consider the problem of pattern matching under the dynamic time warping (DTW) distance motivated by potential applications in the analysis of biological data produced by the third generation sequencing. To measure the DTW…

数据结构与算法 · 计算机科学 2022-09-01 Garance Gourdel , Anne Driemel , Pierre Peterlongo , Tatiana Starikovskaya

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 DTW Barycenter Averaging (DBA) algorithm is a widely used algorithm for estimating the mean of a given set of point sequences. In this context, the mean is defined as a point sequence that minimises the sum of dynamic time warping…

计算几何 · 计算机科学 2024-01-12 Frederik Brüning , Anne Driemel , Alperen Ergür , Heiko Röglin

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…

机器学习 · 计算机科学 2022-12-14 Brian Kenji Iwana

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…

计算机视觉与模式识别 · 计算机科学 2023-10-16 Sebastian Dill , Maurice Rohr

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…

定量方法 · 定量生物学 2017-05-05 Vladimír Boža , Broňa Brejová , Tomáš Vinař

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…

机器学习 · 计算机科学 2020-04-20 Maria Inês Silva , Roberto Henriques

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…

人工智能 · 计算机科学 2009-03-03 Vit Niennattrakul , Chotirat Ann Ratanamahatana

This paper contributes multivariate versions of seven commonly used elastic similarity and distance measures for time series data analytics. Elastic similarity and distance measures are a class of similarity measures that can compensate for…

机器学习 · 计算机科学 2023-01-18 Ahmed Shifaz , Charlotte Pelletier , Francois Petitjean , Geoffrey I. Webb

The cost- and memory-efficient numerical simulation of coupled volume-based multi-physics problems like flow, transport, wave propagation and others remains a challenging task with finite element method (FEM) approaches. Goal-oriented space…

数学软件 · 计算机科学 2019-05-01 Uwe Köcher , Marius Paul Bruchhäuser , Markus Bause

Time Series Alignment is a critical task in signal processing with numerous real-world applications. In practice, signals often exhibit temporal shifts and scaling, making classification on raw data prone to errors. This paper introduces a…

机器学习 · 计算机科学 2025-02-27 Alireza Nourbakhsh , Hoda Mohammadzade

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…

机器学习 · 计算机科学 2018-10-25 Abubakar Abid , James Zou

The Fr\'echet distance is a popular distance measure for curves. We study the problem of clustering time series under the Fr\'echet distance. In particular, we give $(1+\varepsilon)$-approximation algorithms for variations of the following…

计算几何 · 计算机科学 2015-12-15 Anne Driemel , Amer Krivošija , Christian Sohler

Quantifying similarities between time series in a meaningful way remains a challenge in time series analysis, despite many advances in the field. Most real-world solutions still rely on a few popular measures, such as Euclidean Distance…

机器学习 · 计算机科学 2024-11-18 Mahsa Khazaei , Azim Ahmadzadeh , Krishna Rukmini Puthucode

Distributed machine learning (DML) over time-varying networks can be an enabler for emerging decentralized ML applications such as autonomous driving and drone fleeting. However, the commonly used weighted arithmetic mean model aggregation…

机器学习 · 计算机科学 2022-02-22 Haizhou Du , Ryan Yang , Yijian Chen , Qiao Xiang , Andre Wibisono , Wei Huang

This article proposes and studies warped-linear models for time series classification. The proposed models are time-warp invariant analogues of linear models. Their construction is in line with time series averaging and extensions of…

机器学习 · 计算机科学 2017-11-28 Brijnesh J. Jain

In a way similar to the string-to-string correction problem we address time series similarity in the light of a time-series-to-time-series-correction problem for which the similarity between two time series is measured as the minimum cost…

信息检索 · 计算机科学 2008-12-28 Pierre-François Marteau

We resolve the randomized one-way communication complexity of Dynamic Time Warping (DTW) distance. We show that there is an efficient one-way communication protocol using $\widetilde{O}(n/\alpha)$ bits for the problem of computing an…

数据结构与算法 · 计算机科学 2019-03-11 Vladimir Braverman , Moses Charikar , William Kuszmaul , David P. Woodruff , Lin F. Yang

Reliable long-term forecasting of PM2.5 concentrations is critical for public health early-warning systems, yet existing deep learning approaches struggle to maintain prediction stability beyond 48 hours, especially in cities with sparse…

机器学习 · 计算机科学 2025-10-28 Amirali Ataee Naeini , Arshia Ataee Naeini , Fatemeh Karami Mohammadi , Omid Ghaffarpasand