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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

Distance-based time series anomaly detection methods are prevalent due to their relative non-parametric nature and interpretability. However, the commonly used Euclidean distance is sensitive to noise. While existing works have explored…

机器学习 · 计算机科学 2024-03-05 Hanyang Yuan , Qinglin Cai , Keting Yin

Dynamic Time Warping is arguably the most popular similarity measure for time series, where we define a time series to be a one-dimensional polygonal curve. The drawback of Dynamic Time Warping is that it is sensitive to the sampling rate…

计算几何 · 计算机科学 2023-04-18 Kevin Buchin , André Nusser , Sampson Wong

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…

数据结构与算法 · 计算机科学 2018-11-30 Jörg P. Bachmann , Johann-Christoph Freytag

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

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

In the context of fitness coaching or for rehabilitation purposes, the motor actions of a human participant must be observed and analyzed for errors in order to provide effective feedback. This task is normally carried out by human coaches,…

人工智能 · 计算机科学 2017-09-27 Felix Hülsmann , Stefan Kopp , Mario Botsch

Dynamic Mode Decomposition (DMD) is a numerical method that seeks to fit timeseries data to a linear dynamical system. In doing so, DMD decomposes dynamic data into spatially coherent modes that evolve in time according to exponential…

计算机视觉与模式识别 · 计算机科学 2026-02-26 Marco Mignacca , Simone Brugiapaglia , Jason J. Bramburger

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

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…

机器学习 · 计算机科学 2024-11-18 Dongnan Jin , Yali Liu , Qiuzhi Song , Xunju Ma , Yue Liu , Dehao Wu

The computation of the distance of two time series is time-consuming for any elastic distance function that accounts for misalignments. Among those functions, DTW is the most prominent. However, a recent extensive evaluation has shown that…

数据结构与算法 · 计算机科学 2023-04-21 Jana Holznigenkemper , Christian Komusiewicz , Bernhard Seeger

We present an application of gesture recognition using an extension of Dynamic Time Warping (DTW) to recognize behavioural patterns of Attention Deficit Hyperactivity Disorder (ADHD). We propose an extension of DTW using one-class…

We address weakly supervised action alignment and segmentation in videos, where only the order of occurring actions is available during training. We propose Discriminative Differentiable Dynamic Time Warping (D3TW), the first discriminative…

计算机视觉与模式识别 · 计算机科学 2019-04-15 Chien-Yi Chang , De-An Huang , Yanan Sui , Li Fei-Fei , Juan Carlos Niebles

The Dynamic Time Warping (DTW) is a popular similarity measure between time series. The DTW fails to satisfy the triangle inequality and its computation requires quadratic time. Hence, to find closest neighbors quickly, we use bounding…

数据库 · 计算机科学 2008-10-07 Daniel Lemire

Time-series data originate from various applications that describe specific observations or quantities of interest over time. Their analysis often involves the comparison across different time-series data sequences, which in turn requires…

机器学习 · 计算机科学 2024-02-15 Kishansingh Rajput , Duong Binh Nguyen , Guoning Chen

DTW calculates the similarity or alignment between two signals, subject to temporal warping. However, its computational complexity grows exponentially with the number of time-series. Although there have been algorithms developed that are…

机器学习 · 计算机科学 2019-03-25 Soheil Khorram , Melvin G McInnis , Emily Mower Provost

Wearable sensors such as Inertial Measurement Units (IMUs) are often used to assess the performance of human exercise. Common approaches use handcrafted features based on domain expertise or automatically extracted features using time…

计算机视觉与模式识别 · 计算机科学 2023-07-11 Ashish Singh , Antonio Bevilacqua , Timilehin B. Aderinola , Thach Le Nguyen , Darragh Whelan , Martin O'Reilly , Brian Caulfield , Georgiana Ifrim

In this work, we consider the problem of sequence-to-sequence alignment for signals containing outliers. Assuming the absence of outliers, the standard Dynamic Time Warping (DTW) algorithm efficiently computes the optimal alignment between…

计算机视觉与模式识别 · 计算机科学 2021-08-30 Nikita Dvornik , Isma Hadji , Konstantinos G. Derpanis , Animesh Garg , Allan D. Jepson

Static appearance of video may impede the ability of a deep neural network to learn motion-relevant features in video action recognition. In this paper, we introduce a new concept, Dynamic Appearance (DA), summarizing the appearance…

计算机视觉与模式识别 · 计算机科学 2022-11-28 Guoxi Huang , Adrian G. Bors

Dynamic time warping ($\texttt{DTW}$) is one of the most used distance functions to compare time series, e.$\,$g. in nearest neighbor classifiers. Yet, fast state of the art algorithms only compare 1-dimensional time series efficiently. One…

数据结构与算法 · 计算机科学 2018-11-28 Jörg P. Bachmann , Johann-Christoph Freytag