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相关论文: On the Existence of a Sample Mean in Dynamic Time …

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We study variants of the mean problem under the $p$-Dynamic Time Warping ($p$-DTW) distance, a popular and robust distance measure for sequential data. In our setting we are given a set of finite point sequences over an arbitrary metric…

计算几何 · 计算机科学 2022-05-03 Maike Buchin , Anne Driemel , Koen van Greevenbroek , Ioannis Psarros , Dennis Rohde

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…

数据结构与算法 · 计算机科学 2024-09-04 Łukasz Borchmann , Dawid Jurkiewicz , Filip Graliński , Tomasz Górecki

It is well understood that Dynamic Time Warping (DTW) is effective in revealing similarities between time series that do not align perfectly. In this paper, we illustrate this on spectroscopy time-series data. We show that DTW is effective…

机器学习 · 计算机科学 2020-10-13 Vivek Mahato , Pádraig Cunningham

We study statistical inference on the similarity/distance between two time-series under uncertain environment by considering a statistical hypothesis test on the distance obtained from Dynamic Time Warping (DTW) algorithm. The sampling…

机器学习 · 统计学 2023-10-24 Vo Nguyen Le Duy , Ichiro Takeuchi

Modern applications such as voice recognition rely on the ability to compare signals to pre-recorded ones to classify them. However, this comparison typically needs to ignore differences due to signal noise, temporal offset, signal…

机器学习 · 计算机科学 2022-06-16 Arvind Seshan

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…

最优化与控制 · 数学 2019-12-06 Vincent Froese , Christoph Hansknecht

Computing a sample mean of time series under dynamic time warping (DTW) is NP-hard. Consequently, there is an ongoing research effort to devise efficient heuristics. The majority of heuristics have been developed for the constrained sample…

数据结构与算法 · 计算机科学 2020-02-26 Brijnesh Jain , Vincent Froese , David Schultz

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…

数据结构与算法 · 计算机科学 2018-06-01 Markus Brill , Till Fluschnik , Vincent Froese , Brijnesh Jain , Rolf Niedermeier , David Schultz

Dynamic time warping distance (DTW) is a widely used distance measure between time series. The best known algorithms for computing DTW run in near quadratic time, and conditional lower bounds prohibit the existence of significantly faster…

数据结构与算法 · 计算机科学 2019-05-27 William Kuszmaul

Many time series data mining problems can be solved with repeated use of distance measure. Examples of such tasks include similarity search, clustering, classification, anomaly detection and segmentation. For over two decades it has been…

机器学习 · 计算机科学 2022-09-07 Renjie Wu , Eamonn J. Keogh

Time series data analytics has been a problem of substantial interests for decades, and Dynamic Time Warping (DTW) has been the most widely adopted technique to measure dissimilarity between time series. A number of global-alignment kernels…

机器学习 · 计算机科学 2018-09-17 Lingfei Wu , Ian En-Hsu Yen , Jinfeng Yi , Fangli Xu , Qi Lei , Michael Witbrock

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)…

机器学习 · 计算机科学 2016-10-18 Maria-Irina Nicolae , Éric Gaussier , Amaury Habrard , Marc Sebban

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…

计算机视觉与模式识别 · 计算机科学 2021-09-03 George Sioros , Kristian Nymoen

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…

机器学习 · 计算机科学 2021-09-21 Sridhar Mahadevan , Anup Rao , Georgios Theocharous , Jennifer Healey

Dynamic time warping (DTW) is a useful method for aligning, comparing and combining time series, but it requires them to live in comparable spaces. In this work, we consider a setting in which time series live on different spaces without a…

机器学习 · 计算机科学 2021-02-24 Samuel Cohen , Giulia Luise , Alexander Terenin , Brandon Amos , Marc Peter Deisenroth

The Dynamic Time Warping (DTW) distance is a popular measure of similarity for a variety of sequence data. For comparing polygonal curves $\pi, \sigma$ in $\mathbb{R}^d$, it provides a robust, outlier-insensitive alternative to the…

计算几何 · 计算机科学 2022-03-17 Karl Bringmann , Sándor Kisfaludi-Bak , Marvin Künnemann , Dániel Marx , André Nusser

We present a new space-efficient approach, (SparseDTW), to compute the Dynamic Time Warping (DTW) distance between two time series that always yields the optimal result. This is in contrast to other known approaches which typically…

数据库 · 计算机科学 2012-01-17 Ghazi Al-Naymat , Sanjay Chawla , Javid Taheri

Dictionary learning is an effective tool for pattern recognition and classification of time series data. Among various dictionary learning techniques, the dynamic time warping (DTW) is commonly used for dealing with temporal delays,…

机器学习 · 统计学 2023-07-03 Ruiyu Xu , Chao Wang , Yongxiang Li , Jianguo Wu

Continuous Dynamic Time Warping (CDTW) measures the similarity of polygonal curves robustly to outliers and to sampling rates, but the design and analysis of CDTW algorithms face multiple challenges. We show that CDTW cannot be computed…

计算几何 · 计算机科学 2026-04-10 Kevin Buchin , Maike Buchin , Jan Erik Swiadek , Sampson Wong

We offer to apply the powerful Dynamic Time Warping (DTW) algorithm to find the spreading rate variation by comparing profiles of marine magnetic anomalies with the synthetic field constructed by the magnetic polarity reference scale. For…

地球物理 · 物理学 2017-12-12 S. A. Ivanov , S. A. Merkuriev
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