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Given a string $S$ over an alphabet $\Sigma$, the 'string indexing problem' is to preprocess $S$ to subsequently support efficient pattern matching queries, i.e., given a pattern string $P$ report all the occurrences of $P$ in $S$. In this…

数据结构与算法 · 计算机科学 2023-01-24 Philip Bille , Johannes Fischer , Inge Li Gørtz , Max Rishøj Pedersen , Tord Joakim Stordalen

Text indexing is a classical algorithmic problem that has been studied for over four decades: given a text $T$, pre-process it off-line so that, later, we can quickly count and locate the occurrences of any string (the query pattern) in $T$…

数据结构与算法 · 计算机科学 2020-12-15 Nicola Prezza

Let $S_{T}(k)$ denote the set of distinct substrings of length $k$ in a string $T$, then the $k$-th substring complexity is defined by its cardinality $|S_{T}(k)|$. Recently, $\delta = \max \{ |S_{T}(k)| / k : k \ge 1 \}$ is shown to be a…

数据结构与算法 · 计算机科学 2022-05-26 Akiyoshi Kawamoto , Tomohiro I

High-throughput sequencing technologies have led to explosive growth of genomic databases; one of which will soon reach hundreds of terabytes. For many applications we want to build and store indexes of these databases but constructing such…

数据结构与算法 · 计算机科学 2018-11-19 Christina Boucher , Travis Gagie , Alan Kuhnle , Ben Langmead , Giovanni Manzini , Taher Mun

Search applications often display shortened sentences which must contain certain query terms and must fit within the space constraints of a user interface. This work introduces a new transition-based sentence compression technique developed…

计算与语言 · 计算机科学 2019-09-19 Abram Handler , Brendan O'Connor

Conversational search, unlike single-turn retrieval tasks, requires understanding the current question within a dialogue context. The common approach of rewrite-then-retrieve aims to decontextualize questions to be self-sufficient for…

信息检索 · 计算机科学 2025-06-17 Chanwoong Yoon , Gangwoo Kim , Byeongguk Jeon , Sungdong Kim , Yohan Jo , Jaewoo Kang

Retrieval with extremely long queries and documents is a well-known and challenging task in information retrieval and is commonly known as Query-by-Document (QBD) retrieval. Specifically designed Transformer models that can handle long…

信息检索 · 计算机科学 2023-11-03 Arian Askari , Suzan Verberne , Amin Abolghasemi , Wessel Kraaij , Gabriella Pasi

Given a string $S$ of length $n$, the classic string indexing problem is to preprocess $S$ into a compact data structure that supports efficient subsequent pattern queries. In this paper we consider the basic variant where the pattern is…

数据结构与算法 · 计算机科学 2024-02-15 Philip Bille , Inge Li Gørtz , Teresa Anna Steiner

The compressed indexing problem is to preprocess a string $S$ of length $n$ into a compressed representation that supports pattern matching queries. That is, given a string $P$ of length $m$ report all occurrences of $P$ in $S$. We present…

数据结构与算法 · 计算机科学 2018-04-12 Anders Roy Christiansen , Mikko Berggren Ettienne

The rapid advancement of large-language models (LLMs) has driven extensive research into parameter compression after training has been completed, yet compression during the training phase remains largely unexplored. In this work, we…

机器学习 · 计算机科学 2025-11-19 Jun Wu , Jiangtao Wen , Yuxing Han

Logically constrained term rewriting is a relatively new rewriting formalism that naturally supports built-in data structures, such as integers and bit vectors. In the analysis of logically constrained term rewrite systems (LCTRSs),…

计算机科学中的逻辑 · 计算机科学 2025-12-16 Kanta Takahata , Jonas Schöpf , Naoki Nishida , Takahito Aoto

In this paper, we explore worst-case solutions for the problems of single and multiple matching on strings in the word RAM model with word length w. In the first problem, we have to build a data structure based on a pattern p of length m…

数据结构与算法 · 计算机科学 2015-05-20 Djamal Belazzougui

We present a new universal source code for distributions of unlabeled binary and ordinal trees that achieves optimal compression to within lower order terms for all tree sources covered by existing universal codes. At the same time, it…

数据结构与算法 · 计算机科学 2021-09-06 J. Ian Munro , Patrick K. Nicholson , Louisa Seelbach Benkner , Sebastian Wild

The notion of Wheeler languages is rooted in the Burrows-Wheeler transform (BWT), one of the most central concepts in data compression and indexing. The BWT has been generalized to finite automata, the so-called Wheeler automata, by Gagie…

形式语言与自动机理论 · 计算机科学 2025-04-29 Ruben Becker , Giuseppa Castiglione , Giovanna D'Agostino , Alberto Policriti , Nicola Prezza , Antonio Restivo , Brian Riccardi

While short read aligners, which predominantly use the FM-index, are able to easily index one or a few human genomes, they do not scale well to indexing databases containing thousands of genomes. To understand why, it helps to examine the…

数据结构与算法 · 计算机科学 2018-11-19 Alan Kuhnle , Taher Mun , Christina Boucher , Travis Gagie , Ben Langmead , Giovanni Manzini

In this paper, we propose a new \emph{dynamic compressed index} of $O(w)$ space for a dynamic text $T$, where $w = O(\min(z \log N \log^*M, N))$ is the size of the signature encoding of $T$, $z$ is the size of the Lempel-Ziv77 (LZ77)…

数据结构与算法 · 计算机科学 2016-07-20 Takaaki Nishimoto , Tomohiro I , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

We describe a grammar for DNA sequencing reads from which we can compute the BWT directly. Our motivation is to perform in succinct space genomic analyses that require complex string queries not yet supported by repetition-based…

数据结构与算法 · 计算机科学 2020-11-17 Diego Díaz-Domínguez , Gonzalo Navarro

Given an LZW/LZ78 compressed text, we want to find an approximate occurrence of a given pattern of length m. The goal is to achieve time complexity depending on the size n of the compressed representation of the text instead of its length.…

数据结构与算法 · 计算机科学 2013-09-23 Pawel Gawrychowski , Damian Straszak

The circular dictionary matching problem is an extension of the classical dictionary matching problem where every string in the dictionary is interpreted as a circular string: after reading the last character of a string, we can move back…

数据结构与算法 · 计算机科学 2025-04-07 Nicola Cotumaccio

We study the problem of indexing and compressing tries using a BWT-based approach. Specifically, we consider a succinct and compressed representation of the XBWT of Ferragina et al.\ [FOCS '05, JACM '09] corresponding to the analogous of…

数据结构与算法 · 计算机科学 2025-07-04 Lorenzo Carfagna , Carlo Tosoni