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Related papers: Dynamic Grammar-Compressed Self-Index in $\delta$-…

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Continual or lifelong learning has been a long-standing challenge in machine learning to date, especially in natural language processing (NLP). Although state-of-the-art language models such as BERT have ushered in a new era in this field…

Computation and Language · Computer Science 2021-09-21 Kyra Ahrens , Fares Abawi , Stefan Wermter

Given a string $T$ of length $N$, the goal of grammar compression is to construct a small context-free grammar generating only $T$. Among existing grammar compression methods, RePair (recursive paring) [Larsson and Moffat, 1999] is notable…

Data Structures and Algorithms · Computer Science 2018-11-06 Kensuke Sakai , Tatsuya Ohno , Keisuke Goto , Yoshimasa Takabatake , Tomohiro I , Hiroshi Sakamoto

In this paper, we study the static cell probe complexity of non-adaptive data structures that maintain a subset of $n$ points from a universe consisting of $m=n^{1+\Omega(1)}$ points. A data structure is defined to be non-adaptive when the…

Data Structures and Algorithms · Computer Science 2024-04-19 Giuseppe Persiano , Kevin Yeo

A popular approach to sentence compression is to formulate the task as a constrained optimization problem and solve it with integer linear programming (ILP) tools. Unfortunately, dependence on ILP may make the compressor prohibitively slow,…

Computation and Language · Computer Science 2015-10-29 Katja Filippova , Enrique Alfonseca

With few exceptions (namely, algorithms for maximal matching, $2$-approximate vertex cover, and certain constant-stretch spanners), all known fully dynamic algorithms in general graphs require (amortized) $\Omega(\log n)$ update/query time.…

Data Structures and Algorithms · Computer Science 2019-07-11 Monika Henzinger , Pan Peng

Matching statistics were introduced to solve the approximate string matching problem, which is a recurrent subroutine in bioinformatics applications. In 2010, Ohlebusch et al. [SPIRE 2010] proposed a time and space efficient algorithm for…

Data Structures and Algorithms · Computer Science 2023-01-16 Alessio Conte , Nicola Cotumaccio , Travis Gagie , Giovanni Manzini , Nicola Prezza , Marinella Sciortino

The Suffix Array is a classic text index enabling on-line pattern matching queries via simple binary search. The main drawback of the Suffix Array is that it takes linear space in the text's length, even if the text itself is extremely…

Data Structures and Algorithms · Computer Science 2025-03-19 Davide Cenzato , Lore Depuydt , Travis Gagie , Sung-Hwan Kim , Giovanni Manzini , Francisco Olivares , Nicola Prezza

In today's data-centric world, fast and effective compression of data is paramount. To measure success towards the second goal, Kempa and Prezza [STOC2018] introduce the string attractor, a combinatorial object unifying dictionary-based…

Data Structures and Algorithms · Computer Science 2024-07-23 Philip Whittington

The sensitivity of a string compression algorithm $C$ asks how much the output size $C(T)$ for an input string $T$ can increase when a single character edit operation is performed on $T$. This notion enables one to measure the robustness of…

Data Structures and Algorithms · Computer Science 2023-02-10 Tooru Akagi , Mitsuru Funakoshi , Shunsuke Inenaga

One of the most famous and investigated lossless data-compression scheme is the one introduced by Lempel and Ziv about 40 years ago. This compression scheme is known as "dictionary-based compression" and consists of squeezing an input…

Data Structures and Algorithms · Computer Science 2008-02-07 Paolo Ferragina , Igor Nitto , Rossano Venturini

Generative Information Retrieval is an emerging retrieval paradigm that exhibits remarkable performance in monolingual scenarios.However, applying these methods to multilingual retrieval still encounters two primary challenges,…

Computation and Language · Computer Science 2025-10-10 Yuxin Huang , Simeng Wu , Ran Song , Yan Xiang , Yantuan Xian , Shengxiang Gao , Zhengtao Yu

In compressed sensing (CS) framework, a signal is sampled below Nyquist rate, and the acquired compressed samples are generally random in nature. However, for efficient estimation of the actual signal, the sensing matrix must preserve the…

Information Theory · Computer Science 2015-07-28 V. Abrol , P. Sharma , A. K Sao

In Gapped String Indexing, the goal is to compactly represent a string $S$ of length $n$ such that for any query consisting of two strings $P_1$ and $P_2$, called patterns, and an integer interval $[\alpha, \beta]$, called gap range, we can…

Data Structures and Algorithms · Computer Science 2024-03-06 Philip Bille , Inge Li Gørtz , Moshe Lewenstein , Solon P. Pissis , Eva Rotenberg , Teresa Anna Steiner

We introduce a compressed data structure for the storage of free trajectories of moving objects (such as ships and planes) that efficiently supports various spatio-temporal queries. Our structure, dubbed GraCT, stores the absolute positions…

Data Structures and Algorithms · Computer Science 2019-11-12 Nieves R. Brisaboa , Adrián Gómez-Brandón , Gonzalo Navarro , José R. Paramá

The rank and select operations over a string of length n from an alphabet of size $\sigma$ have been used widely in the design of succinct data structures. In many applications, the string itself need be maintained dynamically, allowing…

Data Structures and Algorithms · Computer Science 2010-06-25 Meng He , J. Ian Munro

We raise the question of approximating the compressibility of a string with respect to a fixed compression scheme, in sublinear time. We study this question in detail for two popular lossless compression schemes: run-length encoding (RLE)…

Data Structures and Algorithms · Computer Science 2007-06-11 Sofya Raskhodnikova , Dana Ron , Ronitt Rubinfeld , Adam Smith

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

In this paper, we introduce zip-tries, which are simple, dynamic, memory-efficient data structures for strings. Zip-tries support search and update operations for $k$-length strings in $\mathcal{O}(k+\log n)$ time in the standard RAM model…

Data Structures and Algorithms · Computer Science 2025-08-21 David Eppstein , Ofek Gila , Michael T. Goodrich , Ryuto Kitagawa

This paper proves that a wide class of local search algorithms extend as is to the fully dynamic setting with an adaptive adversary, achieving an amortized $\tilde{O}(1)$ number of local-search steps per update. A breakthrough by Moser…

Data Structures and Algorithms · Computer Science 2026-04-23 Bernhard Haeupler , Slobodan Mitrović , Srikkanth Ramachandran , Wen-Horng Sheu , Robert Tarjan

Dynamic Rank Reinforcement Learning (DR-RL) approximations rely on static rank assumptions, limiting their flexibility across diverse linguistic contexts. Our method dynamically modulates ranks based on real-time sequence dynamics,…

Machine Learning · Computer Science 2026-02-10 Caner Erden
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