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How can we compress language models without sacrificing accuracy? The number of compression algorithms for language models is rapidly growing to benefit from remarkable advances of recent language models without side effects due to the…

Computation and Language · Computer Science 2024-01-30 Seungcheol Park , Jaehyeon Choi , Sojin Lee , U Kang

The rise of large language models (LLMs) is revolutionizing information retrieval, question answering, summarization, and code generation tasks. However, in addition to confidently presenting factually inaccurate information at times (known…

Artificial Intelligence · Computer Science 2023-04-26 Henry Gilbert , Michael Sandborn , Douglas C. Schmidt , Jesse Spencer-Smith , Jules White

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

Sublinear time quantum algorithms have been established for many fundamental problems on strings. This work demonstrates that new, faster quantum algorithms can be designed when the string is highly compressible. We focus on two popular and…

Data Structures and Algorithms · Computer Science 2023-02-15 Daniel Gibney , Sharma V. Thankachan

Many services today massively and continuously produce log files of different and varying formats. These logs are important since they contain information about the application activities, which is necessary for improvements by analyzing…

Information Retrieval · Computer Science 2023-04-11 Igor Cherepanov , Jonathan Geraldi Joewono , Arjan Kuijper , Jörn Kohlhammer

In this paper we introduce a variant of pushdown dimension called bounded pushdown (BPD) dimension, that measures the density of information contained in a sequence, relative to a BPD automata, i.e. a finite state machine equipped with an…

Computational Complexity · Computer Science 2007-07-13 Pilar Albert , Elvira Mayordomo , Philippe Moser

We present an algorithm that computes the Lempel-Ziv decomposition in $O(n(\log\sigma + \log\log n))$ time and $n\log\sigma + \epsilon n$ bits of space, where $\epsilon$ is a constant rational parameter, $n$ is the length of the input…

Data Structures and Algorithms · Computer Science 2015-06-09 Dmitry Kosolobov

Technology progress in DNA sequencing boosts the genomic database growth at faster and faster rate. Compression, accompanied with random access capabilities, is the key to maintain those huge amounts of data. In this paper we present an…

Computational Engineering, Finance, and Science · Computer Science 2011-03-14 Szymon Grabowski , Sebastian Deorowicz

We propose a method to improve traditional character-based PPM text compression algorithms. Consider a text file as a sequence of alternating words and non-words, the basic idea of our algorithm is to encode non-words and prefixes of words…

Information Theory · Computer Science 2015-03-17 Yichuan Hu , Jianzhong , Zhang , Farooq Khan , Ying Li

For both the Lempel Ziv 77- and 78-factorization we propose algorithms generating the respective factorization using $(1+\epsilon) n \lg n + O(n)$ bits (for any positive constant $\epsilon \le 1$) working space (including the space for the…

Data Structures and Algorithms · Computer Science 2015-04-13 Johannes Fischer , Tomohiro I , Dominik Köppl

In this paper we present a general method for information extraction that exploits the features of data compression techniques. We first define and focus our attention on the so-called "dictionary" of a sequence. Dictionaries are…

Statistical Mechanics · Physics 2009-11-10 A. Baronchelli , E. Caglioti , V. Loreto , E. Pizzi

We define an algorithm that parses multidimensional arrays sequentially into mainly unrepeated but nested multidimensional sub-arrays of increasing size, and show that the resulting sub-block pointer encoder compresses almost every…

Information Theory · Computer Science 2014-08-20 Tyll Krueger , Guido Montufar , Ruedi Seiler , Rainer Siegmund-Schultze

This work investigates context compression for Large Language Models (LLMs) using learned compression tokens to reduce the memory and computational demands of processing long sequences. We demonstrate that pre-trained LLMs can be fine-tuned…

Computation and Language · Computer Science 2025-11-12 Dmitrii Tarasov , Elizaveta Goncharova , Kuznetsov Andrey

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

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

Most of the fastest-growing string collections today are repetitive, that is, most of the constituent documents are similar to many others. As these collections keep growing, a key approach to handling them is to exploit their…

Information Retrieval · Computer Science 2017-05-22 Travis Gagie , Aleksi Hartikainen , Kalle Karhu , Juha Kärkkäinen , Gonzalo Navarro , Simon J. Puglisi , Jouni Sirén

The pressing need for efficient compression schemes for XML documents has recently been focused on stack computation, and in particular calls for a formulation of information-lossless stack or pushdown compressors that allows a formal…

Computational Complexity · Computer Science 2009-03-25 Elvira Mayordomo , Philippe Moser , Sylvain Perifel

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

Text compression for large language model (LLM) systems is usually framed as token deletion, retrieval, summarization, or exact reconstruction. We study a more aggressive but explicitly lossy setting: compress text into compact codes that…

Machine Learning · Computer Science 2026-05-26 Natalia Trukhina , Vadim Vashkelis

Large language models have drastically changed the prospects of AI by introducing technologies for more complex natural language processing. However, current methodologies to train such LLMs require extensive resources including but not…

Computation and Language · Computer Science 2026-04-27 Noel Elias , Homa Esfahanizadeh , Kaan Kale , Sriram Vishwanath , Muriel Medard
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