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Statistics about n-grams (i.e., sequences of contiguous words or other tokens in text documents or other string data) are an important building block in information retrieval and natural language processing. In this work, we study how…

Information Retrieval · Computer Science 2012-07-19 Klaus Berberich , Srikanta Bedathur

In this paper, we present a toolbox for a specific optimization problem that frequently arises in bioinformatics or genomics. In this specific optimisation problem, the state space is a set of words of specified length over a finite…

Artificial Intelligence · Computer Science 2017-06-27 Régis Garnier , Christophe Guyeux , Stéphane Chrétien

Suffix tree (and the closely related suffix array) are fundamental structures capturing all substrings of a given text essentially by storing all its suffixes in the lexicographical order. In some applications, we work with a subset of $b$…

Data Structures and Algorithms · Computer Science 2016-08-03 Paweł Gawrychowski , Tomasz Kociumaka

Distilling knowledge from a well-trained cumbersome network to a small one has recently become a new research topic, as lightweight neural networks with high performance are particularly in need in various resource-restricted systems. This…

Computation and Language · Computer Science 2016-07-26 Lili Mou , Ran Jia , Yan Xu , Ge Li , Lu Zhang , Zhi Jin

We describe a substring search problem that arises in group presentation simplification processes. We suggest a two-level searching model: skip and match levels. We give two timestamp algorithms which skip searching parts of the text where…

Group Theory · Mathematics 2009-09-25 George Havas , Jin Xian Lian

In the computational-mechanics structural analysis of one-dimensional cellular automata the following automata-theoretic analogue of the \emph{change-point problem} from time series analysis arises: \emph{Given a string $\sigma$ and a…

Computer Vision and Pattern Recognition · Computer Science 2016-08-31 Carl S. McTague , James P. Crutchfield

Consider an input text string T[1,N] drawn from an unbounded alphabet. We study partial computation in suffix-based problems for Data Compression and Text Indexing such as (I) retrieve any segment of K<=N consecutive symbols from the…

Data Structures and Algorithms · Computer Science 2011-10-18 Gianni Franceschini , Roberto Grossi , S. Muthukrishnan

A critical piece of the modern information retrieval puzzle is approximate nearest neighbor search. Its objective is to return a set of $k$ data points that are closest to a query point, with its accuracy measured by the proportion of exact…

Information Retrieval · Computer Science 2024-07-15 Thomas Vecchiato , Claudio Lucchese , Franco Maria Nardini , Sebastian Bruch

Information Retrieval (IR) is an important application area of Natural Language Processing (NLP) where one encounters the genuine challenge of processing large quantities of unrestricted natural language text. While much effort has been…

cmp-lg · Computer Science 2008-02-03 Chengxiang Zhai

Mathematical Selection is a method in which we select a particular choice from a set of such. It have always been an interesting field of study for mathematicians. Combinatorial optimisation is the practice of selecting the best constituent…

Optimization and Control · Mathematics 2024-01-31 Anurag Dutta , K. Lakshmanan , John Harshith , A. Ramamoorthy

Fuzzy string matching and language classification are important tools in Natural Language Processing pipelines, this paper provides advances in both areas. We propose a fast novel approach to string tokenisation for fuzzy language matching…

Computation and Language · Computer Science 2020-09-25 Malgorzata Pikies , Andronicus Riyono , Junade Ali

This paper introduces STRASS: Summarization by TRAnsformation Selection and Scoring. It is an extractive text summarization method which leverages the semantic information in existing sentence embedding spaces. Our method creates an…

Computation and Language · Computer Science 2019-07-18 Léo Bouscarrat , Antoine Bonnefoy , Thomas Peel , Cécile Pereira

Sudoku is a puzzle well-known to the scientific community with simple rules of completion, which may require a com-plex line of reasoning. This paper addresses the problem of partitioning the Sudoku image into a 1-D array, recognizing…

Machine Learning · Computer Science 2019-05-28 Aditya Narayanaswamy , Yichuan Philip Ma , Piyush Shrivastava

In the past few decades, there has been an explosion in the amount of available data produced from various sources with different topics. The availability of this enormous data necessitates us to adopt effective computational tools to…

Computation and Language · Computer Science 2022-12-20 Mina Samizadeh

Sparse suffix sorting is the problem of sorting $b=o(n)$ suffixes of a string of length $n$. Efficient sparse suffix sorting algorithms have existed for more than a decade. Despite the multitude of works and their justified claims for…

Data Structures and Algorithms · Computer Science 2024-07-08 Lorraine A. K. Ayad , Grigorios Loukides , Solon P. Pissis , Hilde Verbeek

The index selection problem (ISP) is an important problem for accelerating the execution of relational queries, and it has received a lot of attention as a combinatorial knapsack problem in the past. Various solutions to this very hard…

Databases · Computer Science 2017-09-13 Herbert Jordan , Bernhard Scholz , Pavle Subotić

In recent years, many recommender systems have utilized textual data for topic extraction to enhance interpretability. However, our findings reveal a noticeable deficiency in the coherence of keywords within topics, resulting in low…

Computation and Language · Computer Science 2023-06-14 Xuefei Jiang , Dairui Liu , Ruihai Dong

We consider the problems of computing maximal palindromes and distinct palindromes in a trie. A trie is a natural generalization of a string, which can be seen as a single-path tree. There is a linear-time offline algorithm to compute…

Data Structures and Algorithms · Computer Science 2026-01-26 Hiroki Shibata , Mitsuru Funakoshi , Takuya Mieno , Masakazu Ishihata , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

The Sparse Approximation problem asks to find a solution $x$ such that $||y - Hx|| < \alpha$, for a given norm $||\cdot||$, minimizing the size of the support $||x||_0 := \#\{j \ |\ x_j \neq 0 \}$. We present valid inequalities for Mixed…

Discrete Mathematics · Computer Science 2020-09-15 Diego Delle Donne , Matthieu Kowalski , Leo Liberti

Due to diverse nature of data acquisition and modern applications, many contemporary problems involve high dimensional datum $\x \in \R^\d$ whose entries often lie in a union of subspaces and the goal is to find out which entries of $\x$…

Machine Learning · Computer Science 2019-10-30 Md Mahfuzur Rahman , Daniel Pimentel-Alarcon