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We propose a novel, lightweight supervised dictionary learning framework for text classification based on data compression and representation. This two-phase algorithm initially employs the Lempel-Ziv-Welch (LZW) algorithm to construct a…

Computation and Language · Computer Science 2024-05-06 Li Wan , Tansu Alpcan , Margreta Kuijper , Emanuele Viterbo

We present a new algorithm for computing the Lempel-Ziv Factorization (LZ77) of a given string of length $N$ in linear time, that utilizes only $N\log N + O(1)$ bits of working space, i.e., a single integer array, for constant size integer…

Data Structures and Algorithms · Computer Science 2013-10-08 Keisuke Goto , Hideo Bannai

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…

Data Structures and Algorithms · Computer Science 2024-02-15 Philip Bille , Inge Li Gørtz , Teresa Anna Steiner

While the language modeling objective has been shown to be deeply connected with compression, it is surprising that modern LLMs are not employed in practical text compression systems. In this paper, we provide an in-depth analysis of neural…

Computation and Language · Computer Science 2024-09-26 Fazal Mittu , Yihuan Bu , Akshat Gupta , Ashok Devireddy , Alp Eren Ozdarendeli , Anant Singh , Gopala Anumanchipalli

In pattern matching on strings, a locate query asks for an enumeration of all the occurrences of a given pattern in a given text. The r-index [Gagie et al., 2018] is a recently presented compressed self index that stores the text and…

Data Structures and Algorithms · Computer Science 2025-07-29 Patrick Dinklage , Johannes Fischer , Lukas Nalbach , Jan Zumbrink

The LZ-End parsing [Kreft & Navarro, 2011] of an input string yields compression competitive with the popular Lempel-Ziv 77 scheme, but also allows for efficient random access. Kempa and Kosolobov showed that the parsing can be computed in…

Data Structures and Algorithms · Computer Science 2024-09-18 Patrick Dinklage

We propose and study a family of universal sequential probability assignments on individual sequences, based on the incremental parsing procedure of the Lempel-Ziv (LZ78) compression algorithm. We show that the normalized log loss under any…

Information Theory · Computer Science 2025-12-15 Naomi Sagan , Tsachy Weissman

As nowadays Machine Learning (ML) techniques are generating huge data collections, the problem of how to efficiently engineer their storage and operations is becoming of paramount importance. In this article we propose a new lossless…

Data Structures and Algorithms · Computer Science 2022-03-31 Paolo Ferragina , Travis Gagie , Dominik Köppl , Giovanni Manzini , Gonzalo Navarro , Manuel Striani , Francesco Tosoni

We present RCT, a new compact data structure to represent trajectories of objects. It is based on a relative compression technique called Relative Lempel-Ziv (RLZ), which compresses sequences by applying an LZ77 encoding with respect to an…

Data Structures and Algorithms · Computer Science 2018-10-16 Nieves R. Brisaboa , Travis Gagie , Adrián Gómez-Brandón , Gonzalo Navarro , José R. Paramá

This paper presents an algorithm for the modification of data compressed using LZ-End, a derivate of LZ77, without prior decompression. The performance of the algorithm and the impact of the modifications on the compression ratio is…

Data Structures and Algorithms · Computer Science 2020-07-14 Daniel Roodt , Ulrich Speidel , Vimal Kumar , Ryan K. L. Ko

Large-scale scientific simulations generate massive datasets, posing challenges for storage and I/O. Traditional lossy compression struggles to advance more in balancing compression ratio, data quality, and adaptability to diverse…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-21 Wenqi Jia , Zhewen Hu , Youyuan Liu , Boyuan Zhang , Jinzhen Wang , Jinyang Liu , Wei Niu , Stavros Kalafatis , Junzhou Huang , Sian Jin , Daoce Wang , Jiannan Tian , Miao Yin

We initiate the study of differentially private data-compression schemes motivated by the insecurity of the popular "Compress-Then-Encrypt" framework. Data compression is a useful tool which exploits redundancy in data to reduce…

Computational Complexity · Computer Science 2025-09-25 Jeremiah Blocki , Seunghoon Lee , Brayan Sebastián Yepes Garcia

The massive volume of data generated by LiDAR sensors in autonomous vehicles creates a bottleneck for real-time processing and vehicle-to-everything (V2X) transmission. Existing lossless compression methods often force a trade-off: industry…

Robotics · Computer Science 2026-03-25 Aditya Shibu , Kayvan Karim , Claudio Zito

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

We investigate two closely related LZ78-based compression schemes: LZMW (an old scheme by Miller and Wegman) and LZD (a recent variant by Goto et al.). Both LZD and LZMW naturally produce a grammar for a string of length $n$; we show that…

Data Structures and Algorithms · Computer Science 2017-07-26 Golnaz Badkobeh , Travis Gagie , Shunsuke Inenaga , Tomasz Kociumaka , Dmitry Kosolobov , Simon J. Puglisi

We introduce the LZ penalty, a penalty specialized for reducing degenerate repetitions in autoregressive language models without loss of capability. The penalty is based on the codelengths in the LZ77 universal lossless compression…

Machine Learning · Computer Science 2025-08-05 Antonio A. Ginart , Naveen Kodali , Jason Lee , Caiming Xiong , Silvio Savarese , John R. Emmons

The paper introduces a new lossless, highly robust compression algorithm that similar with LZW algorithm, yet the algorithm discards dictionary processing and uses irregular sequences with massive, random information instead. Then the paper…

Signal Processing · Electrical Eng. & Systems 2020-06-24 Rui Zhu

Time series data compression is emerging as an important problem with the growth in IoT devices and sensors. Due to the presence of noise in these datasets, lossy compression can often provide significant compression gains without impacting…

Signal Processing · Electrical Eng. & Systems 2020-01-14 Shubham Chandak , Kedar Tatwawadi , Chengtao Wen , Lingyun Wang , Juan Aparicio , Tsachy Weissman

The advent of massive datasets (and the consequent design of high-performing distributed storage systems) have reignited the interest of the scientific and engineering community towards the design of lossless data compressors which achieve…

Information Theory · Computer Science 2013-07-16 Andrea Farruggia , Paolo Ferragina , Antonio Frangioni , Rossano Venturini

Dynamic dictionary-based compression schemes are the most daily used data compression schemes since they appeared in the foundational papers of Ziv and Lempel in 1977, commonly referred to as LZ77. Their work is the base of Deflate, gZip,…

Data Structures and Algorithms · Computer Science 2012-11-26 Maxime Crochemore , Alessio Langiu , Filippo Mignosi