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In the problem of $\texttt{Generalised Pattern Matching}\ (\texttt{GPM})$ [STOC'94, Muthukrishnan and Palem], we are given a text $T$ of length $n$ over an alphabet $\Sigma_T$, a pattern $P$ of length $m$ over an alphabet $\Sigma_P$, and a…

Data Structures and Algorithms · Computer Science 2020-01-20 Bartłomiej Dudek , Paweł Gawrychowski , Tatiana Starikovskaya

The approximate string matching is a fundamental and recurrent problem that arises in most computer science fields. This problem can be defined as follows: Let $D=\{x_1,x_2,\ldots x_d\}$ be a set of $d$ words defined on an alphabet…

Data Structures and Algorithms · Computer Science 2017-01-31 Ibrahim Chegrane

This paper studies the problem of detecting novel or unexpected instances in text classification. In traditional text classification, the classes appeared in testing must have been seen in training. However, in many applications, this is…

Machine Learning · Computer Science 2020-09-24 Qi Qin , Wenpeng Hu , Bing Liu

Matching logic is a logical framework for specifying and reasoning about programs using pattern matching semantics. A pattern is made up of a number of structural components and constraints. Structural components are syntactically matched,…

Logic in Computer Science · Computer Science 2024-11-01 Ádám Kurucz , Péter Bereczky , Dániel Horpácsi

The classical pattern matching asks for locating all occurrences of one string, called the pattern, in another, called the text, where a string is simply a sequence of characters. Due to the potential practical applications, it is desirable…

Data Structures and Algorithms · Computer Science 2024-10-30 Jonas Ellert , Paweł Gawrychowski , Adam Górkiewicz , Tatiana Starikovskaya

Detectability of failures of linear programming (LP) decoding and its potential for improvement by adding new constraints motivate the use of an adaptive approach in selecting the constraints for the LP problem. In this paper, we make a…

Information Theory · Computer Science 2007-07-13 Mohammad H. Taghavi N. , Paul H. Siegel

Detecting issue framing in text - how different perspectives approach the same topic - is valuable for social science and policy analysis, yet challenging for automated methods due to subtle linguistic differences. We introduce `paired…

Computation and Language · Computer Science 2025-06-13 Simon D Angus , Lachlan O'Neill

Fragment-based shape signature techniques have proven to be powerful tools for computer-aided drug design. They allow scientists to search for target molecules with some similarity to a known active compound. They do not require reference…

Artificial Intelligence · Computer Science 2022-01-05 Thierry Petit , Randy J. Zauhar

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 describe a novel algorithm for solving general parametric (nonlinear) eigenvalue problems. Our method has two steps: first, high-accuracy solutions of non-parametric versions of the problem are gathered at some values of the parameters;…

Numerical Analysis · Mathematics 2024-10-14 Davide Pradovera , Alessandro Borghi

We consider variations on the following problem: given an NFA M and a pattern p, does there exist an x in L(M) such that p matches x? We consider the restricted problem where M only accepts a finite language. We also consider the variation…

Formal Languages and Automata Theory · Computer Science 2009-06-18 Narad Rampersad , Jeffrey Shallit

Given a pattern $p = s_1x_1s_2x_2\cdots s_{r-1}x_{r-1}s_r$ such that $x_1,x_2,\ldots,x_{r-1}\in\{x,\overset{{}_{\leftarrow}}{x}\}$, where $x$ is a variable and $\overset{{}_{\leftarrow}}{x}$ its reversal, and $s_1,s_2,\ldots,s_r$ are…

Data Structures and Algorithms · Computer Science 2017-07-19 Dmitry Kosolobov , Florin Manea , Dirk Nowotka

A novel matching based heuristic algorithm designed to detect specially formulated infeasible zero-one IPs is presented. The algorithm input is a set of nested doubly stochastic subsystems and a set E of instance defining variables set at…

Data Structures and Algorithms · Computer Science 2017-03-07 S. J. Gismondi , E. R. Swart

Patterns describe proven solutions for recurring problems. Typically, patterns in a particular domain are interrelated and organized in pattern languages. As real-world problems often require patterns of multiple domains, different pattern…

Software Engineering · Computer Science 2020-03-23 Manuela Weigold , Johanna Barzen , Uwe Breitenbücher , Michael Falkenthal , Frank Leymann , Karoline Wild

In a recent paper by the authors, a new approach--called the "embedding method"--was introduced, which allows to make use of exchangeable pairs for normal and multivariate normal approximation with Stein's method in cases where the…

Probability · Mathematics 2009-12-18 Gesine Reinert , Adrian Röllin

Given two graphs $H$ and $G$, the Subgraph Isomorphism problem asks if $H$ is isomorphic to a subgraph of $G$. While NP-hard in general, algorithms exist for various parameterized versions of the problem: for example, the problem can be…

Data Structures and Algorithms · Computer Science 2013-08-27 Dániel Marx , Michał Pilipczuk

This paper presents a new combinatorial optimisation task, the Subset Sum Matching Problem (SSMP), which is an abstraction of common financial applications such as trades reconciliation. We present three algorithms, two suboptimal and one…

Artificial Intelligence · Computer Science 2025-08-27 Yufei Wu , Manuel R. Torres , Parisa Zehtabi , Alberto Pozanco Lancho , Michael Cashmore , Daniel Borrajo , Manuela Veloso

The bias-variance trade-off is a central concept in supervised learning. In classical statistics, increasing the complexity of a model (e.g., number of parameters) reduces bias but also increases variance. Until recently, it was commonly…

Machine Learning · Statistics 2022-03-25 Jason W. Rocks , Pankaj Mehta

Solutions of symbolic regression problems are expressions that are composed of input variables and operators from a finite set of function symbols. One measure for evaluating symbolic regression algorithms is their ability to recover…

Machine Learning · Computer Science 2025-06-25 Paul Kahlmeyer , Markus Fischer , Joachim Giesen

Artistic style transfer is the problem of synthesizing an image with content similar to a given image and style similar to another. Although recent feed-forward neural networks can generate stylized images in real-time, these models produce…

Computer Vision and Pattern Recognition · Computer Science 2018-11-22 Mohammad Babaeizadeh , Golnaz Ghiasi
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