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This paper studies the $r$-range search problem for curves under the continuous Fr\'echet distance: given a dataset $S$ of $n$ polygonal curves and a threshold $r>0$, construct a data structure that, for any query curve $q$, efficiently…

Computational Geometry · Computer Science 2019-06-06 Matteo Ceccarello , Anne Driemel , Francesco Silvestri

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

Pattern matching is a fundamental process in almost every scientific domain. The problem involves finding the positions of a given pattern (usually of short length) in a reference stream of data (usually of large length). The matching can…

Data Structures and Algorithms · Computer Science 2022-07-01 Anas Al-okaily , Abdelghani Tbakhi

We propose a new framework for the detection of change-points in online, sequential data analysis. The approach utilizes nearest neighbor information and can be applied to sequences of multivariate observations or non-Euclidean data…

Methodology · Statistics 2018-05-01 Hao Chen

Geolocated time series, i.e., time series associated with certain locations, abound in many modern applications. In this paper, we consider hybrid queries for retrieving geolocated time series based on filters that combine spatial distance…

Finding the graphs that are most similar to a query graph in a large database is a common task with various applications. A widely-used similarity measure is the graph edit distance, which provides an intuitive notion of similarity and…

Databases · Computer Science 2021-10-05 Franka Bause , David B. Blumenthal , Erich Schubert , Nils M. Kriege

This paper presents a family of new methods for locating/fitting hyperplanes with respect to a given set of points. We introduce a general framework for a family of aggregation criteria of different distance-based errors. The most popular…

Statistics Theory · Mathematics 2021-01-12 Víctor Blanco , Justo Puerto , Román Salmerón

Many datasets exhibit a well-defined structure that can be exploited to design faster search tools, but it is not always clear when such acceleration is possible. Here, we introduce a framework for similarity search based on characterizing…

Data Structures and Algorithms · Computer Science 2015-09-22 Y. William Yu , Noah M. Daniels , David Christian Danko , Bonnie Berger

Efficient computation or approximation of Levenshtein distance, a widely-used metric for evaluating sequence similarity, has attracted significant attention with the emergence of DNA storage and other biological applications. Sequence…

Machine Learning · Computer Science 2024-04-01 Xiang Wei , Alan J. X. Guo , Sihan Sun , Mengyi Wei , Wei Yu

We introduce the convex matching distance, a novel metric for comparing functions with values in the real plane. This metric measures the maximal bottleneck distance between the persistence diagrams associated with the convex combinations…

Traditional methods for identifying structurally similar spreadsheets fail to capture the spatial layouts and type patterns defining templates. To quantify spreadsheet similarity, we introduce a hybrid distance metric that combines semantic…

Machine Learning · Computer Science 2025-11-12 Anand Krishnakumar , Vengadesh Ravikumaran

Similarity matching and join of time series data streams has gained a lot of relevance in today's world that has large streaming data. This process finds wide scale application in the areas of location tracking, sensor networks, object…

Databases · Computer Science 2013-12-11 R H Vishwanath , T V Samartha , K C Srikantaiah , K R Venugopal , L M Patnaik

We revisit various string indexing problems with range reporting features, namely, position-restricted substring searching, indexing substrings with gaps, and indexing substrings with intervals. We obtain the following main results.…

Data Structures and Algorithms · Computer Science 2011-08-19 Philip Bille , Inge Li Goertz

Dictionary lookup methods are popular in dealing with ambiguous letters which were not recognized by Optical Character Readers. However, a robust dictionary lookup method can be complex as apriori probability calculation or a large…

Information Theory · Computer Science 2011-01-07 Rishin Haldar , Debajyoti Mukhopadhyay

Modern applications frequently collect and analyze temporal data in the form of multivariate time series (MTS) -- time series that contain multiple channels. A common task in this context is subsequence search, which involves identifying…

Databases · Computer Science 2025-12-18 Jens E. d'Hondt , Teun Kortekaas , Odysseas Papapetrou , Themis Palpanas

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

The problem of finding \emph{distance} between \emph{pattern} of length $m$ and \emph{text} of length $n$ is a typical way of generalizing pattern matching to incorporate dissimilarity score. For both Hamming and $L_1$ distances only a…

Data Structures and Algorithms · Computer Science 2018-05-04 Przemysław Uznański

Detection of interesting (e.g., coherent or anomalous) clusters has been studied extensively on plain or univariate networks, with various applications. Recently, algorithms have been extended to networks with multiple attributes for each…

Machine Learning · Computer Science 2018-09-21 Feng Chen , Baojian Zhou , Adil Alim , Liang Zhao

Recommendation systems for different Document Networks (DN) such as the World Wide Web (WWW) and Digital Libraries, often use distance functions extracted from relationships among documents and keywords. For instance, documents in the WWW…

Information Retrieval · Computer Science 2007-05-23 L. M. Rocha

With the advent of Big Data, nowadays in many applications databases containing large quantities of similar time series are available. Forecasting time series in these domains with traditional univariate forecasting procedures leaves great…

Machine Learning · Computer Science 2018-09-13 Kasun Bandara , Christoph Bergmeir , Slawek Smyl
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