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We give a new successor data structure which improves upon the index size of the P\v{a}tra\c{s}cu-Thorup data structures, reducing the index size from $O(n w^{4/5})$ bits to $O(n \log w)$ bits, with optimal probe complexity. Alternatively,…

Data Structures and Algorithms · Computer Science 2013-06-18 Sarel Cohen , Amos Fiat , Moshik Hershcovitch , Haim Kaplan

We present an algorithm for searching regular expression matches in compressed text. The algorithm reports the number of matching lines in the uncompressed text in time linear in the size of its compressed version. We define efficient data…

Formal Languages and Automata Theory · Computer Science 2019-01-17 Pierre Ganty , Pedro Valero

String matching algorithms in the presence of abbreviations, such as in Stock Keeping Unit (SKU) product catalogs, remains a relatively unexplored topic. In this paper, we present a unified architecture for SKU search that provides both a…

Information Retrieval · Computer Science 2024-01-02 Dayananda Ubrangala , Juhi Sharma , Sharath Kumar Rangappa , Kiran R , Ravi Prasad Kondapalli , Laurent Boué

The observed frequency of the longest proper prefix, the longest proper suffix, and the longest infix of a word $w$ in a given sequence $x$ can be used for classifying $w$ as avoided or overabundant. The definitions used for the expectation…

We introduce a new dynamic vocabulary for language models. It can involve arbitrary text spans during generation. These text spans act as basic generation bricks, akin to tokens in the traditional static vocabularies. We show that, the…

Computation and Language · Computer Science 2024-10-14 Yanting Liu , Tao Ji , Changzhi Sun , Yuanbin Wu , Xiaoling Wang

Keyphrases are useful for a variety of purposes, including summarizing, indexing, labeling, categorizing, clustering, highlighting, browsing, and searching. The task of automatic keyphrase extraction is to select keyphrases from within the…

Machine Learning · Computer Science 2007-05-23 Peter D. Turney

A factor $u$ of a word $w$ is a cover of $w$ if every position in $w$ lies within some occurrence of $u$ in $w$. A word $w$ covered by $u$ thus generalizes the idea of a repetition, that is, a word composed of exact concatenations of $u$.…

Data Structures and Algorithms · Computer Science 2014-01-03 Tomasz Kociumaka , Jakub Radoszewski , Wojciech Rytter , Solon P. Pissis , Tomasz Waleń

Minimizer schemes, or just minimizers, are a very important computational primitive in sampling and sketching biological strings. Assuming a fixed alphabet of size $\sigma$, a minimizer is defined by two integers $k,w\ge2$ and a total order…

Combinatorics · Mathematics 2024-11-27 Shay Golan , Arseny M. Shur

For a stationary stochastic process $\{X_n\}$ with values in some set $A$, a finite word $w \in A^K$ is called a memory word if the conditional probability of $X_0$ given the past is constant on the cylinder set defined by $X_{-K}^{-1}=w$.…

Information Theory · Computer Science 2008-08-22 Gusztav Morvai , Benjamin Weiss

Search engine has become a fundamental component in various web and mobile applications. Retrieving relevant documents from the massive datasets is challenging for a search engine system, especially when faced with verbose or tail queries.…

Information Retrieval · Computer Science 2020-08-11 Kuan Fang , Long Zhao , Zhan Shen , RuiXing Wang , RiKang Zhour , LiWen Fan

We present a new on-line algorithm for computing the Lempel-Ziv factorization of a string that runs in $O(N\log N)$ time and uses only $O(N\log\sigma)$ bits of working space, where $N$ is the length of the string and $\sigma$ is the size of…

Data Structures and Algorithms · Computer Science 2013-05-28 Jun'ichi Yamamoto , Tomohiro I , Hideo Bannai , Shunsuke Inenaga , Masayuki Takeda

In this paper we show that the computational complexity of the Iterative Thresholding and K-residual-Means (ITKrM) algorithm for dictionary learning can be significantly reduced by using dimensionality-reduction techniques based on the…

Machine Learning · Statistics 2020-02-25 Karin Schnass , Flavio Teixeira

We study a document retrieval problem in the new framework where $D$ text documents are organized in a {\em category tree} with a pre-defined number $h$ of categories. This situation occurs e.g. with taxomonic trees in biology or subject…

Data Structures and Algorithms · Computer Science 2020-06-03 Djamal Belazzougui , Gregory Kucherov

A string is said to be closed if its length is one, or if it has a non-empty factor that occurs both as a prefix and as a suffix of the string, but does not occur elsewhere. The notion of closed words was introduced by [Fici, WORDS 2011].…

Data Structures and Algorithms · Computer Science 2024-10-01 Takuya Mieno , Shun Takahashi , Kazuhisa Seto , Takashi Horiyama

Recently, Cenzato et al.\ proposed a new text index, called the \emph{suffixient array}, which is a subset of the suffix array and supports locating a single pattern occurrence or finding its maximal exact matches (MEMs), assuming random…

Data Structures and Algorithms · Computer Science 2026-05-07 Paola Bonizzoni , Younan Gao , Brian Riccardi

The Fenwick tree is a classical implicit data structure that stores an array in such a way that modifying an element, accessing an element, computing a prefix sum and performing a predecessor search on prefix sums all take logarithmic time.…

Data Structures and Algorithms · Computer Science 2019-10-15 Stefano Marchini , Sebastiano Vigna

The suffix array is an efficient data structure for in-memory pattern search. Suffix arrays can also be used for external-memory pattern search, via two-level structures that use an internal index to identify the correct block of suffix…

Data Structures and Algorithms · Computer Science 2013-03-27 Simon Gog , Alistair Moffat , J. Shane Culpepper , Andrew Turpin , Anthony Wirth

This paper introduces KSW, a Khmer-specific approach to keyword extraction that leverages a specialized stop word dictionary. Due to the limited availability of natural language processing resources for the Khmer language, effective keyword…

Information Retrieval · Computer Science 2024-05-28 Nimol Thuon , Wangrui Zhang , Sada Thuon

We consider the problem of computing the q-gram profile of a string \str of size $N$ compressed by a context-free grammar with $n$ production rules. We present an algorithm that runs in $O(N-\alpha)$ expected time and uses $O(n+q+\kq)$…

Data Structures and Algorithms · Computer Science 2014-06-09 Philip Bille , Patrick Hagge Cording , Inge Li Gørtz

This paper proposed a storing approach for trie structures, called coordinate hash trie. The basic idea is using a global hash table with a special hash function to store all edges of a trie. For a trie with $n$ nodes and an alphabet with…

Data Structures and Algorithms · Computer Science 2023-03-28 Yuxuan Dong
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