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A time series is a sequence of data items; typical examples are videos, stock ticker data, or streams of temperature measurements. Quite some research has been devoted to comparing and indexing simple time series, i.e., time series where…

Computational Complexity · Computer Science 2018-06-04 Jörg P. Bachmann , Johann-Christoph Freytag , Benjamin Hauskeller , Nicole Schweikardt

Vector retrieval systems exhibit significant performance variance across queries due to heterogeneous embedding quality. We propose a lightweight framework for predicting retrieval performance at the query level by combining quantization…

Information Retrieval · Computer Science 2025-07-09 Y. Du

Text indexing is a fundamental and well-studied problem. Classic solutions either replace the original text with a compressed representation, e.g., the FM-index and its variants, or keep it uncompressed but attach some redundancy - an index…

Data Structures and Algorithms · Computer Science 2026-02-05 Lorraine A. K. Ayad , Gabriele Fici , Ragnar Groot Koerkamp , Grigorios Loukides , Rob Patro , Giulio Ermanno Pibiri , Solon P. Pissis

In this paper, we present a fast and strong neural approach for general purpose text matching applications. We explore what is sufficient to build a fast and well-performed text matching model and propose to keep three key features…

Computation and Language · Computer Science 2019-08-02 Runqi Yang , Jianhai Zhang , Xing Gao , Feng Ji , Haiqing Chen

Time series analysis has achieved great success in diverse applications such as network security, environmental monitoring, and medical informatics. Learning similarities among different time series is a crucial problem since it serves as…

Machine Learning · Computer Science 2022-07-19 Shaoyu Dou , Kai Yang , Yang Jiao , Chengbo Qiu , Kui Ren

The aim of this paper is to propose a geometric framework for modelling similarity search in large and multidimensional data spaces of general nature, which seems to be flexible enough to address such issues as analysis of complexity,…

Information Retrieval · Computer Science 2016-11-17 Vladimir Pestov

We revisit a fundamental problem in string matching: given a pattern of length m and a text of length n, both over an alphabet of size $\sigma$, compute the Hamming distance between the pattern and the text at every location. Several…

Data Structures and Algorithms · Computer Science 2020-01-03 Timothy M. Chan , Shay Golan , Tomasz Kociumaka , Tsvi Kopelowitz , Ely Porat

Capturing the interdependencies between real valued time series can be achieved by finding common similar patterns. The abstraction of time series makes the process of finding similarities closer to the way as humans do. Therefore, the…

Artificial Intelligence · Computer Science 2016-12-20 Ibrahim Ozkan , I. Burhan Turksen

Sequence classification algorithms, such as SVM, require a definition of distance (similarity) measure between two sequences. A commonly used notion of similarity is the number of matches between $k$-mers ($k$-length subsequences) in the…

Data Structures and Algorithms · Computer Science 2017-12-13 Muhammad Farhan , Juvaria Tariq , Arif Zaman , Mudassir Shabbir , Imdad Ullah Khan

The classic string indexing problem is to preprocess a string S into a compact data structure that supports efficient pattern matching queries. Typical queries include existential queries (decide if the pattern occurs in S), reporting…

Data Structures and Algorithms · Computer Science 2021-02-05 Philip Bille , Inge Li Gørtz , Max Rishøj Pedersen , Teresa Anna Steiner

Full-text search engines are important tools for information retrieval. In a proximity full-text search, a document is relevant if it contains query terms near each other, especially if the query terms are frequently occurring words. For…

Information Retrieval · Computer Science 2020-09-09 Alexander B. Veretennikov

We propose a general framework for end-to-end learning of data structures. Our framework adapts to the underlying data distribution and provides fine-grained control over query and space complexity. Crucially, the data structure is learned…

Machine Learning · Computer Science 2024-11-06 Omar Salemohamed , Laurent Charlin , Shivam Garg , Vatsal Sharan , Gregory Valiant

Approximate dictionary matching is a classic string matching problem (checking if a query string occurs in a collection of strings) with applications in, e.g., spellchecking, online catalogs, geolocation, and web searchers. We present a…

Data Structures and Algorithms · Computer Science 2016-02-15 Aleksander Cisłak , Szymon Grabowski

The equidistant subsequence pattern matching problem is considered. Given a pattern string $P$ and a text string $T$, we say that $P$ is an \emph{equidistant subsequence} of $T$ if $P$ is a subsequence of the text such that consecutive…

Data Structures and Algorithms · Computer Science 2020-02-18 Mitsuru Funakoshi , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda , Ayumi Shinohara

The research on indexing repetitive string collections has focused on the same search problems used for regular string collections, though they can make little sense in this scenario. For example, the basic pattern matching query "list all…

Data Structures and Algorithms · Computer Science 2020-10-15 Gonzalo Navarro

We present a scalable approach for range and $k$ nearest neighbor queries under computationally expensive metrics, like the continuous Fr\'echet distance on trajectory data. Based on clustering for metric indexes, we obtain a dynamic tree…

Computational Geometry · Computer Science 2021-12-14 Joachim Gudmundsson , Michael Horton , John Pfeifer , Martin P. Seybold

Gene annotation has traditionally required direct comparison of DNA sequences between an unknown gene and a database of known ones using string comparison methods. However, these methods do not provide useful information when a gene does…

Machine Learning · Computer Science 2019-09-17 James K. Senter , Taylor M. Royalty , Andrew D. Steen , Amir Sadovnik

Motivated by the imminent growth of massive, highly redundant genomic databases, we study the problem of compressing a string database while simultaneously supporting fast random access, substring extraction and pattern matching to the…

Data Structures and Algorithms · Computer Science 2012-11-01 Travis Gagie , Paweł Gawrychowski , Christopher Hoobin , Simon J. Puglisi

This study aims to publish a novel similarity metric to increase the speed of comparison operations. Also the new metric is suitable for distance-based operations among strings. Most of the simple calculation methods, such as string length…

Data Structures and Algorithms · Computer Science 2014-01-28 Sadi Evren Seker , Oguz Altun , Uğur Ayan , Cihan Mert

We consider a similarity measure between two sets $A$ and $B$ of vectors, that balances the average and maximum cosine distance between pairs of vectors, one from set $A$ and one from set $B$. As a motivation for this measure, we present…

Data Structures and Algorithms · Computer Science 2021-08-31 Michael Leybovich , Oded Shmueli