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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 introduce a new string matching problem called order-preserving matching on numeric strings where a pattern matches a text if the text contains a substring whose relative orders coincide with those of the pattern. Order-preserving…

Data Structures and Algorithms · Computer Science 2013-02-19 Jinil Kim , Peter Eades , Rudolf Fleischer , Seok-Hee Hong , Costas S. Iliopoulos , Kunsoo Park , Simon J. Puglisi , Takeshi Tokuyama

The Longest Common Subsequence (LCS) problem is a fundamental problem of sequence comparison. A natural approximation to this problem is a model in which every pairs of letters of two ``sequences'' are matched independently of the other…

Disordered Systems and Neural Networks · Physics 2016-08-31 J. Boutet de Monvel

Fast matching of regular expressions with bounded repetition, aka counting, such as (ab){50,100}, i.e., matching linear in the length of the text and independent of the repetition bounds, has been an open problem for at least two decades.…

Formal Languages and Automata Theory · Computer Science 2023-01-31 Lukáš Holík , Juraj Síč , Lenka Turoňová , Tomáš Vojnar

Score matching is an estimation procedure that has been developed for statistical models whose probability density function is known up to proportionality but whose normalizing constant is intractable, so that maximum likelihood is…

Methodology · Statistics 2024-04-23 Jiazhen Xu , Janice L. Scealy , Andrew T. A. Wood , Tao Zou

A technique using a systolic array structure is proposed for solving the common approximate substring (CAS) problem. This approach extends the technique introduced in earlier work from the computation of the edit-distance between two…

Data Structures and Algorithms · Computer Science 2010-06-08 Jacqueline E. Rice , Kenneth B. Kent

In his 1987 paper entitled "Generalized String Matching", Abrahamson introduced {\em pattern matching with character classes} and provided the first efficient algorithm to solve it. The best known solution to date is due to Linhart and…

Data Structures and Algorithms · Computer Science 2021-01-01 Alberto Apostolico , Péter L. Erdős , István Miklós , Johannes Siemons

We present a new streaming algorithm for the $k$-Mismatch problem, one of the most basic problems in pattern matching. Given a pattern and a text, the task is to find all substrings of the text that are at the Hamming distance at most $k$…

Data Structures and Algorithms · Computer Science 2019-04-24 Jakub Radoszewski , Tatiana Starikovskaya

A classical measure of string comparison is given by the longest common subsequence (LCS) problem on a pair of strings. We consider its generalisation, called the semi-local LCS problem, which arises naturally in many string-related…

Data Structures and Algorithms · Computer Science 2015-03-13 Alexander Tiskin

Sparse coding consists in representing signals as sparse linear combinations of atoms selected from a dictionary. We consider an extension of this framework where the atoms are further assumed to be embedded in a tree. This is achieved…

Machine Learning · Statistics 2011-08-18 Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski , Francis Bach

We propose a weighted common subgraph (WCS) matching algorithm to find the most similar subgraphs in two labeled weighted graphs. WCS matching, as a natural generalization of the equal-sized graph matching or subgraph matching, finds wide…

Data Structures and Algorithms · Computer Science 2014-11-05 Xu Yang , Hong Qiao , Zhi-Yong Liu

We address the problem of predicting similarity between a pair of handwritten document images written by different individuals. This has applications related to matching and mining in image collections containing handwritten content. A…

Computer Vision and Pattern Recognition · Computer Science 2016-05-20 Praveen Krishnan , C. V. Jawahar

To retrieve more relevant, appropriate and useful documents given a query, finding clues about that query through the text is crucial. Recent deep learning models regard the task as a term-level matching problem, which seeks exact or…

Information Retrieval · Computer Science 2021-02-01 Yufeng Zhang , Jinghao Zhang , Zeyu Cui , Shu Wu , Liang Wang

We consider the problem of dictionary matching in a stream. Given a set of strings, known as a dictionary, and a stream of characters arriving one at a time, the task is to report each time some string in our dictionary occurs in the…

Data Structures and Algorithms · Computer Science 2015-04-24 Raphael Clifford , Allyx Fontaine , Ely Porat , Benjamin Sach , Tatiana Starikovskaya

Despite extensive research on parsing of English sentences into Abstraction Meaning Representation (AMR) graphs, which are compared to gold graphs via the Smatch metric, full-document parsing into a unified graph representation lacks…

In ill-posed dynamic inverse problems expected spatial features and temporal correlation between frames can be leveraged to improve the quality of the computed solution, in particular when the available data are limited and the…

We introduce and address the problem of ad hoc table retrieval: answering a keyword query with a ranked list of tables. This task is not only interesting on its own account, but is also being used as a core component in many other…

Information Retrieval · Computer Science 2018-03-09 Shuo Zhang , Krisztian Balog

A family of comparison-based exact pattern matching algorithms is described. They utilize multi-dimensional arrays in order to process more than one adjacent text window in each iteration of the search cycle. This approach leads to a lower…

Data Structures and Algorithms · Computer Science 2016-08-31 Igor O. Zavadskyi

A synchronizing word of a deterministic finite complete automaton is a word whose action maps every state to a single one. Finding a shortest or a short synchronizing word is a central computational problem in the theory of synchronizing…

Formal Languages and Automata Theory · Computer Science 2022-07-13 Marek Szykuła , Adam Zyzik

Finding the longest common subsequence in $k$-length substrings (LCS$k$) is a recently proposed problem motivated by computational biology. This is a generalization of the well-known LCS problem in which matching symbols from two sequences…

Data Structures and Algorithms · Computer Science 2013-11-20 Sebastian Deorowicz , Szymon Grabowski
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