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Related papers: Hierarchical Relative Lempel-Ziv Compression

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Compressed indexing is a powerful technique that enables efficient querying over data stored in compressed form, significantly reducing memory usage and often accelerating computation. While extensive progress has been made for…

Data Structures and Algorithms · Computer Science 2025-10-23 Rajat De , Dominik Kempa

We introduce the first self-index based on the Lempel-Ziv 1977 compression format (LZ77). It is particularly competitive for highly repetitive text collections such as sequence databases of genomes of related species, software repositories,…

Data Structures and Algorithms · Computer Science 2011-01-24 Sebastian Kreft , Gonzalo Navarro

Data compression continues to evolve, with traditional information theory methods being widely used for compressing text, images, and videos. Recently, there has been growing interest in leveraging Generative AI for predictive compression…

Information Theory · Computer Science 2024-09-24 Swathi Shree Narashiman , Nitin Chandrachoodan

Although large language models (LLM) have achieved remarkable performance, their enormous parameter counts hinder deployment on resource-constrained hardware. Low-rank compression can reduce both memory usage and computational demand, but…

Computation and Language · Computer Science 2025-10-13 Yu-Chen Lu , Chong-Yan Chen , Chi-Chih Chang , Yu-Fang Hu , Kai-Chiang Wu

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

Crystallography is the leading technique to study atomic structures of proteins and produces enormous volumes of information that can place strains on the storage and data transfer capabilities of synchrotron and free-electron laser light…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-24 Robert Underwood , Chun Yoon , Ali Gok , Sheng Di , Franck Cappello

Kernel methods have produced state-of-the-art results for a number of NLP tasks such as relation extraction, but suffer from poor scalability due to the high cost of computing kernel similarities between natural language structures. A…

Computation and Language · Computer Science 2019-05-22 Sahil Garg , Aram Galstyan , Greg Ver Steeg , Irina Rish , Guillermo Cecchi , Shuyang Gao

We present the first worst-case linear-time algorithm to compute the Lempel-Ziv 78 factorization of a given string over an integer alphabet. Our algorithm is based on nearest marked ancestor queries on the suffix tree of the given string.…

Data Structures and Algorithms · Computer Science 2015-02-02 Yuto Nakashima , Tomohiro I , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

Code generation under long contexts is becoming increasingly critical as Large Language Models (LLMs) are required to reason over extensive information in the codebase. While recent advances enable code LLMs to process long inputs, high API…

Computation and Language · Computer Science 2025-10-02 Yuling Shi , Yichun Qian , Hongyu Zhang , Beijun Shen , Xiaodong Gu

Research techniques in the last decade have improved lossless compression ratios by significantly increasing processing time. These techniques have remained obscure because production systems require high throughput and low resource…

Two decades ago, a breakthrough in indexing string collections made it possible to represent them within their compressed space while at the same time offering indexed search functionalities. As this new technology permeated through…

Data Structures and Algorithms · Computer Science 2022-11-28 Gonzalo Navarro

Nowadays, with the rapid development of the Internet, the era of big data has come. The Internet generates huge amounts of data every day. However, extracting meaningful information from massive data is like looking for a needle in a…

Artificial Intelligence · Computer Science 2022-12-21 Xinhong Chen , Wensheng Gan , Shicheng Wan , Tianlong Gu

The fast growth of computational power and scales of modern super-computing systems have raised great challenges for the management of exascale scientific data. To maintain the usability of scientific data, error-bound lossy compression is…

Machine Learning · Computer Science 2023-11-08 Jinyang Liu , Sheng Di , Sian Jin , Kai Zhao , Xin Liang , Zizhong Chen , Franck Cappello

We present an algorithm which computes the Lempel-Ziv factorization of a word $W$ of length $n$ on an alphabet $\Sigma$ of size $\sigma$ online in the following sense: it reads $W$ starting from the left, and, after reading each $r =…

Data Structures and Algorithms · Computer Science 2012-12-03 Tatiana Starikovskaya

Traditionally, data compression deals with the problem of concisely representing a data source, e.g. a sequence of letters, for the purpose of eventual reproduction (either exact or approximate). In this work we are interested in the case…

Information Theory · Computer Science 2013-12-10 Amir Ingber , Tsachy Weissman

Symbolic regression (SR) searches for parametric models that accurately fit a dataset, prioritizing simplicity and interpretability. Despite this secondary objective, studies point out that the models are often overly complex due to…

Neural and Evolutionary Computing · Computer Science 2024-04-10 Guilherme Seidyo Imai Aldeia , Fabricio Olivetti de Franca , William G. La Cava

The Lempel-Ziv factorization (LZ77) and the Run-Length encoded Burrows-Wheeler Transform (RLBWT) are two important tools in text compression and indexing, being their sizes $z$ and $r$ closely related to the amount of text…

Data Structures and Algorithms · Computer Science 2017-02-07 Alberto Policriti , Nicola Prezza

In this work we introduce a new linear time compression algorithm, called "Re-pair for Trees", which compresses ranked ordered trees using linear straight-line context-free tree grammars. Such grammars generalize straight-line context-free…

Data Structures and Algorithms · Computer Science 2010-08-02 Markus Lohrey , Sebastian Maneth , Roy Mennicke

The $r$-index (Gagie et al., JACM 2020) represented a breakthrough in compressed indexing of repetitive text collections, outperforming its alternatives by orders of magnitude. Its space usage, $\mathcal{O}(r)$ where $r$ is the number of…

Data Structures and Algorithms · Computer Science 2021-03-30 Dustin Cobas , Travis Gagie , Gonzalo Navarro

This paper introduces a novel method of Progressive Low Rank Decomposition (PLRD) tailored for the compression of large language models. Our approach leverages a pre-trained model, which is then incrementally decompressed to smaller sizes…

Computation and Language · Computer Science 2024-07-01 Habib Hajimolahoseini , Mohammad Hassanpour , Foozhan Ataiefard , Boxing Chen , Yang Liu
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