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Query-by-example search often uses dynamic time warping (DTW) for comparing queries and proposed matching segments. Recent work has shown that comparing speech segments by representing them as fixed-dimensional vectors --- acoustic word…

Computation and Language · Computer Science 2017-06-14 Shane Settle , Keith Levin , Herman Kamper , Karen Livescu

The problem of approximate string matching is important in many different areas such as computational biology, text processing and pattern recognition. A great effort has been made to design efficient algorithms addressing several variants…

Data Structures and Algorithms · Computer Science 2008-07-29 Dimitris Papamichail , Georgios Papamichail

In this paper, we model the document revision detection problem as a minimum cost branching problem that relies on computing document distances. Furthermore, we propose two new document distance measures, word vector-based Dynamic Time…

Information Retrieval · Computer Science 2020-01-08 Xiaofeng Zhu , Diego Klabjan , Patrick Bless

The edit distance problem is a classical fundamental problem in computer science in general, and in combinatorial pattern matching in particular. The standard dynamic programming solution for this problem computes the edit-distance between…

Data Structures and Algorithms · Computer Science 2016-10-05 Danny Hermelin , Gad M. Landau , Shir Landau , Oren Weimann

Computing the edit distance of two strings is one of the most basic problems in computer science and combinatorial optimization. Tree edit distance is a natural generalization of edit distance in which the task is to compute a measure of…

Data Structures and Algorithms · Computer Science 2022-09-16 Debarati Das , Jacob Gilbert , MohammadTaghi Hajiaghayi , Tomasz Kociumaka , Barna Saha , Hamed Saleh

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)…

Machine Learning · Computer Science 2016-10-18 Maria-Irina Nicolae , Éric Gaussier , Amaury Habrard , Marc Sebban

Audio-to-score alignment aims at generating an accurate mapping between a performance audio and the score of a given piece. Standard alignment methods are based on Dynamic Time Warping (DTW) and employ handcrafted features. We explore the…

Audio and Speech Processing · Electrical Eng. & Systems 2020-07-29 Ruchit Agrawal , Simon Dixon

Fast and scalable alignment of time series is a fundamental challenge in many domains. The standard solution, Dynamic Time Warping (DTW), struggles with poor scalability and sensitivity to noise. We introduce TimePoint, a self-supervised…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Ron Shapira Weber , Shahar Ben Ishay , Andrey Lavrinenko , Shahaf E. Finder , Oren Freifeld

In recent years, non-intrusive load monitoring (NILM) technology has attracted much attention in the related research field by virtue of its unique advantage of utilizing single meter data to achieve accurate decomposition of device-level…

Signal Processing · Electrical Eng. & Systems 2025-04-24 Hangxu Liu , Yaojie Sun , Yu Wang

Time Series Clustering is an important subroutine in many higher-level data mining analyses, including data editing for classifiers, summarization, and outlier detection. It is well known that for similarity search the superiority of…

Machine Learning · Computer Science 2016-12-05 Nurjahan Begum , Liudmila Ulanova , Hoang Anh Dau , Jun Wang , Eamonn Keogh

Many smart grid applications involve data mining, clustering, classification, identification, and anomaly detection, among others. These applications primarily depend on the measurement of similarity, which is the distance between different…

Signal Processing · Electrical Eng. & Systems 2025-10-20 Rui Yuan , Hossein Ranjbar , S. Ali Pourmousavi , Wen L. Soong , Andrew J. Black , Jon A. R. Liisberg , Julian Lemos-Vinasco

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…

Artificial Intelligence · Computer Science 2009-03-03 Vit Niennattrakul , Chotirat Ann Ratanamahatana

Nearest neighbor search under elastic distances is a key tool for time series analysis, supporting many applications. However, straightforward implementations of distances require $O(n^2)$ space and time complexities, preventing these…

Machine Learning · Computer Science 2021-06-04 Matthieu Herrmann , Geoffrey I. Webb

Classically, the edit distance of two length-$n$ strings can be computed in $O(n^2)$ time, whereas an $O(n^{2-\epsilon})$-time procedure would falsify the Orthogonal Vectors Hypothesis. If the edit distance does not exceed $k$, the running…

Data Structures and Algorithms · Computer Science 2023-11-06 Daniel Gibney , Ce Jin , Tomasz Kociumaka , Sharma V. Thankachan

We propose a method based on the discrete truncated Wigner approximation (DTWA) for computing out-of-time-order correlators. This method is applied to long-range interacting quantum spin systems where the interactions decay as a power law…

Statistical Mechanics · Physics 2025-07-21 Tatsuhiko Shirai , Takashi Mori

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…

Data Structures and Algorithms · Computer Science 2018-11-30 Jörg P. Bachmann , Johann-Christoph Freytag

The problem of computing the edit-distance between a string and a finite automaton arises in a variety of applications in computational biology, text processing, and speech recognition. This paper presents linear-space algorithms for…

Formal Languages and Automata Theory · Computer Science 2009-04-30 Cyril Allauzen , Mehryar Mohri

Full Waveform Inversion (FWI) is a powerful technique for estimating high-resolution subsurface velocity models by minimizing the discrepancy between modeled and observed seismic data. However, the oscillatory nature of seismic waveforms…

The Swap-Insert Correction distance from a string $S$ of length $n$ to another string $L$ of length $m\geq n$ on the alphabet $[1..d]$ is the minimum number of insertions, and swaps of pairs of adjacent symbols, converting $S$ into $L$.…

Data Structures and Algorithms · Computer Science 2015-06-30 Jérémy Barbay , Pablo Pérez-Lantero

The edit distance is a basic string similarity measure used in many applications such as text mining, signal processing, bioinformatics, and so on. However, the computational cost can be a problem when we repeat many distance calculations…

Data Structures and Algorithms · Computer Science 2017-01-24 Hiroyuki Hanada , Mineichi Kudo , Atsuyoshi Nakamura