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Edit Distance is a classic family of dynamic programming problems, among which Time Warp Edit Distance refines the problem with the notion of a metric and temporal elasticity. A novel Improved Time Warp Edit Distance algorithm that is both…

Computational Geometry · Computer Science 2020-08-03 Garrett Wright

This technical report details a family of time warp distances on the set of discrete time series. This family is constructed as an editing distance whose elementary operations apply on linear segments. A specific parameter allows…

Information Retrieval · Computer Science 2008-06-23 Pierre-François Marteau

Dynamic Time Warping (DTW) and Geometric Edit Distance (GED) are basic similarity measures between curves or general temporal sequences (e.g., time series) that are represented as sequences of points in some metric space $(X,…

Data Structures and Algorithms · Computer Science 2020-01-29 Omer Gold , Micha Sharir

This short technical note presents a formal generalization of the Time Warp Edit Distance (TWED) proposed by Marteau (2009) to arbitrary metric spaces. By viewing both the observation and temporal domains as metric spaces $(X, d)$ and $(T,…

Information Retrieval · Computer Science 2026-01-12 Zhen Yi Lau

Text similarity calculation is a fundamental problem in natural language processing and related fields. In recent years, deep neural networks have been developed to perform the task and high performances have been achieved. The neural…

Computation and Language · Computer Science 2018-10-26 Yilin Niu , Chao Qiao , Hang Li , Minlie Huang

Edit distance is a measurement of similarity between two sequences such as strings, point sequences, or polygonal curves. Many matching problems from a variety of areas, such as signal analysis, bioinformatics, etc., need to be solved in a…

Computational Geometry · Computer Science 2020-09-10 Kyle Fox , Xinyi Li

The Graph Edit Distance (GED) is an important metric for measuring the similarity between two (labeled) graphs. It is defined as the minimum cost required to convert one graph into another through a series of (elementary) edit operations.…

Databases · Computer Science 2025-11-05 Andrea D'Ascenzo , Julian Meffert , Petra Mutzel , Fabrizio Rossi

Graph edit distance (GED) is a powerful and flexible graph matching paradigm that can be used to address different tasks in structural pattern recognition, machine learning, and data mining. In this paper, some new binary linear programming…

Data Structures and Algorithms · Computer Science 2015-05-22 Julien Lerouge , Zeina Abu-Aisheh , Romain Raveaux , Pierre Héroux , Sébastien Adam

Computing efficiently a robust measure of similarity or dissimilarity between graphs is a major challenge in Pattern Recognition. The Graph Edit Distance (GED) is a flexible measure of dissimilarity between graphs which arises in…

Data Structures and Algorithms · Computer Science 2015-12-24 Sébastien Bougleux , Luc Brun , Vincenzo Carletti , Pasquale Foggia , Benoit Gaüzère , Mario Vento

Analyzing numerous or long time series is difficult in practice due to the high storage costs and computational requirements. Therefore, techniques have been proposed to generate compact similarity-preserving representations of time series,…

Machine Learning · Computer Science 2022-08-29 Pieter Robberechts , Wannes Meert , Jesse Davis

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…

Machine Learning · Computer Science 2023-01-18 Ahmed Shifaz , Charlotte Pelletier , Francois Petitjean , Geoffrey I. Webb

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…

Data Structures and Algorithms · Computer Science 2022-07-05 Zoe Xi , William Kuszmaul

A time series consists of a series of values or events obtained over repeated measurements in time. Analysis of time series represents and important tool in many application areas, such as stock market analysis, process and quality control,…

Artificial Intelligence · Computer Science 2013-12-30 Vladimir Kurbalija , Miloš Radovanović , Zoltan Geler , Mirjana Ivanović

Dynamic Time Wrapping (DTW) is a widely used algorithm for measuring similarities between two time series. It is especially valuable in a wide variety of applications, such as clustering, anomaly detection, classification, or video…

Machine Learning · Computer Science 2023-01-31 Hugo Lerogeron , Romain Picot-Clemente , Alain Rakotomamonjy , Laurent Heutte

We give the first subquadratic-time approximation schemes for dynamic time warping (DTW) and edit distance (ED) of several natural families of point sequences in $\mathbb{R}^d$, for any fixed $d \ge 1$. In particular, our algorithms compute…

Computational Geometry · Computer Science 2016-01-11 Pankaj K. Agarwal , Kyle Fox , Jiangwei Pan , Rex Ying

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…

Data Structures and Algorithms · Computer Science 2019-05-27 William Kuszmaul

The edit distance is a way of quantifying how similar two strings are to one another by counting the minimum number of character insertions, deletions, and substitutions required to transform one string into the other. A simple dynamic…

Computational Complexity · Computer Science 2019-10-03 Elazar Goldenberg , Robert Krauthgamer , Barna Saha

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…

Data Structures and Algorithms · Computer Science 2020-04-21 Vincent Froese , Brijnesh Jain , Maciej Rymar , Mathias Weller

In this paper, we address a similarity search problem for spatial trajectories in road networks. In particular, we focus on the subtrajectory similarity search problem, which involves finding in a database the subtrajectories similar to a…

Databases · Computer Science 2020-07-13 Satoshi Koide , Chuan Xiao , Yoshiharu Ishikawa

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…

Databases · Computer Science 2012-01-17 Ghazi Al-Naymat , Sanjay Chawla , Javid Taheri
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