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Grammar compression is a general compression framework in which a string $T$ of length $N$ is represented as a context-free grammar of size $n$ whose language contains only $T$. In this paper, we focus on studying the limitations of…

Data Structures and Algorithms · Computer Science 2024-09-24 Rajat De , Dominik Kempa

Data compression is a powerful tool for managing massive but repetitive datasets, especially schemes such as grammar-based compression that support computation over the data without decompressing it. In the best case such a scheme takes a…

Data Structures and Algorithms · Computer Science 2019-06-04 Travis Gagie , Tomohiro I , Giovanni Manzini , Gonzalo Navarro , Hiroshi Sakamoto , Yoshimasa Takabatake

Compressing images at extremely low bitrates (< 0.1 bpp) has always been a challenging task since the quality of reconstruction significantly reduces due to the strong imposed constraint on the number of bits allocated for the compressed…

Image and Video Processing · Electrical Eng. & Systems 2020-06-16 Suraj Kiran Raman , Aditya Ramesh , Vijayakrishna Naganoor , Shubham Dash , Giridharan Kumaravelu , Honglak Lee

To guarantee that an LLM's outputs conform to a specified structure, context-free grammar (CFG) decoding engines force the selection of next tokens that produce strings that conform to a given CFG. While current CFG-constrained decoding…

Artificial Intelligence · Computer Science 2026-05-29 Michael Sullivan , Alexander Koller

Advances in DNA sequencing technology will soon result in databases of thousands of genomes. Within a species, individuals' genomes are almost exact copies of each other; e.g., any two human genomes are 99.9% the same. Relative Lempel-Ziv…

Data Structures and Algorithms · Computer Science 2011-11-08 Travis Gagie , Juha Kärkkäinen , Yakov Nekrich , Simon J. Puglisi

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

This paper addresses the problem of the communication of optimally compressed information for mobile robot path-planning. In this context, mobile robots compress their current local maps to assist another robot in reaching a target in an…

Robotics · Computer Science 2023-09-26 Evangelos Psomiadis , Dipankar Maity , Panagiotis Tsiotras

Can we analyze data without decompressing it? As our data keeps growing, understanding the time complexity of problems on compressed inputs, rather than in convenient uncompressed forms, becomes more and more relevant. Suppose we are given…

Computational Complexity · Computer Science 2018-03-05 Amir Abboud , Arturs Backurs , Karl Bringmann , Marvin Künnemann

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

Optimizing distributed learning systems is an art of balancing between computation and communication. There have been two lines of research that try to deal with slower networks: {\em communication compression} for low bandwidth networks,…

Machine Learning · Computer Science 2019-02-04 Hanlin Tang , Shaoduo Gan , Ce Zhang , Tong Zhang , Ji Liu

Neural compression is the application of neural networks and other machine learning methods to data compression. Recent advances in statistical machine learning have opened up new possibilities for data compression, allowing compression…

Machine Learning · Computer Science 2023-08-22 Yibo Yang , Stephan Mandt , Lucas Theis

In data storage and transmission, file compression is a common technique for reducing the volume of data, reducing data storage space and transmission time and bandwidth. However, there are significant differences in the compression…

Other Computer Science · Computer Science 2023-08-24 Han Yang , Guangjun Qin , Yongqing Hu

We present a simple adaptation of the Lempel Ziv 78' (LZ78) compression scheme ({\em IEEE Transactions on Information Theory, 1978}) that supports efficient random access to the input string. Namely, given query access to the compressed…

Data Structures and Algorithms · Computer Science 2013-01-14 Akashnil Dutta , Reut Levi , Dana Ron , Ronitt Rubinfeld

Indexing highly repetitive collections has become a relevant problem with the emergence of large repositories of versioned documents, among other applications. These collections may reach huge sizes, but are formed mostly of documents that…

Information Retrieval · Computer Science 2016-05-25 Francisco Claude , Antonio Fariña , Miguel A. Martínez-Prieto , Gonzalo Navarro

Lempel-Ziv (LZ77 or, briefly, LZ) is one of the most effective and widely-used compressors for repetitive texts. However, the existing efficient methods computing the exact LZ parsing have to use linear or close to linear space to index the…

Data Structures and Algorithms · Computer Science 2020-05-12 Dmitry Kosolobov , Daniel Valenzuela , Gonzalo Navarro , Simon J. Puglisi

Frugal computing is becoming an important topic for environmental reasons. In this context, several techniques have been proposed to reduce the storage of scientific data by dedicated compression methods specially tailored for arrays of…

Data Structures and Algorithms · Computer Science 2022-03-01 Matthieu Martel

Distributed network optimization has been studied for well over a decade. However, we still do not have a good idea of how to design schemes that can simultaneously provide good performance across the dimensions of utility optimality,…

Networking and Internet Architecture · Computer Science 2017-07-19 Sinong Wang , Ness Shroff

In many emerging applications, data streams are monitored in a network environment. Due to limited communication bandwidth and other resource constraints, a critical and practical demand is to online compress data streams continuously with…

Data Structures and Algorithms · Computer Science 2008-12-01 Emad Soroush , Kui Wu , Jian Pei

Traditional lossless text compression preserves every byte, but its gains on natural language are often modest in realistic operating regimes. We study \emph{lossy semantic text compression}, where the encoder strategically deletes parts of…

Computation and Language · Computer Science 2026-05-29 Yuchun Zou , Junhong Tong , Jun Li

Lately, there has been an upsurge of interest in compressed data structures, aiming to pack ever larger quantities of information into constrained memory without sacrificing the efficiency of standard operations, like random access, search,…

Data Structures and Algorithms · Computer Science 2014-02-07 Gábor Rétvári , János Tapolcai , Attila Kőrösi , András Majdán , Zalán Heszberger