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Dynamic Time Warping (DTW) is a widely used similarity measure for comparing strings that encode time series data, with applications to areas including bioinformatics, signature verification, and speech recognition. The standard…

数据结构与算法 · 计算机科学 2022-07-05 Zoe Xi , William Kuszmaul

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

Dynamic Time Warping (DTW) is a well-known similarity measure for time series. The standard dynamic programming approach to compute the DTW distance of two length-$n$ time series, however, requires~$O(n^2)$ time, which is often too slow for…

数据结构与算法 · 计算机科学 2020-04-21 Vincent Froese , Brijnesh Jain , Maciej Rymar , Mathias Weller

The dynamic time warping (DTW) is a widely-used method that allows us to efficiently compare two time series that can vary in speed. Given two strings $A$ and $B$ of respective lengths $m$ and $n$, there is a fundamental dynamic programming…

数据结构与算法 · 计算机科学 2020-07-30 Akihiro Nishi , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

The Dynamic Time Warping (DTW) distance is a popular similarity measure for polygonal curves (i.e., sequences of points). It finds many theoretical and practical applications, especially for temporal data, and is known to be a robust,…

Dynamic Time Warping (DTW) has become the pragmatic choice for measuring distance between time series. However, it suffers from unavoidable quadratic time complexity when the optimal alignment matrix needs to be computed exactly. This…

机器学习 · 计算机科学 2023-06-02 Fabian Latorre , Chenghao Liu , Doyen Sahoo , Steven C. H. Hoi

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

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

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

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

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 2012-01-16 Daniel Lemire

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 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…

数据结构与算法 · 计算机科学 2022-04-19 Yoshifumi Sakai , Shunsuke Inenaga

The ubiquity of sequences in many domains enhances significant recent interest in sequence learning, for which a basic problem is how to measure the distance between sequences. Dynamic time warping (DTW) aligns two sequences by nonlinear…

机器学习 · 计算机科学 2017-03-06 Zhichen Gong , Huanhuan Chen

The literature postulates that the dynamic time warping (dtw) distance can cope with temporal variations but stores and processes time series in a form as if the dtw-distance cannot cope with such variations. To address this inconsistency,…

机器学习 · 计算机科学 2019-03-11 Brijnesh Jain

Dynamic Time Warping (DTW) is a popular time series distance measure that aligns the points in two series with one another. These alignments support warping of the time dimension to allow for processes that unfold at differing rates. The…

机器学习 · 计算机科学 2023-03-30 Matthieu Herrmann , Chang Wei Tan , Geoffrey I. Webb

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

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

Dynamic time warping (DTW) is an effective dissimilarity measure in many time series applications. Despite its popularity, it is prone to noises and outliers, which leads to singularity problem and bias in the measurement. The time…

机器学习 · 计算机科学 2022-08-04 Xiaomin Song , Qingsong Wen , Yan Li , Liang Sun

We give an $\tilde O(n^2)$ time algorithm for computing the exact Dynamic Time Warping distance between two strings whose run-length encoding is of size at most $n$. This matches (up to log factors) the known (conditional) lower bound, and…

数据结构与算法 · 计算机科学 2023-02-14 Itai Boneh , Shay Golan , Shay Mozes , Oren Weimann
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