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It is known that any rational abstract numeration system is faithfully, and effectively, represented by an N-rational series. A simple proof of this result is given which yields a representation of this series which in turn allows a simple…

Discrete Mathematics · Computer Science 2011-08-30 Pierre-Yves Angrand , Jacques Sakarovitch

Automatic Text Summarization (ATS), utilizing Natural Language Processing (NLP) algorithms, aims to create concise and accurate summaries, thereby significantly reducing the human effort required in processing large volumes of text. ATS has…

Artificial Intelligence · Computer Science 2025-11-03 Yang Zhang , Hanlei Jin , Dan Meng , Jun Wang , Jinghua Tan

In this paper, a new compression scheme for text is presented. The same is efficient in giving high compression ratios and enables super fast searching within the compressed text. Typical compression ratios of 70-80% and reducing the search…

Information Retrieval · Computer Science 2007-07-16 Udayan Khurana , Anirudh Koul

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

Convergence of an abstract reduction system (ARS) is the property that any derivation from an initial state will end in the same final state, a.k.a. normal form. We generalize this for probabilistic ARS as almost-sure convergence, meaning…

Programming Languages · Computer Science 2017-10-04 Maja H. Kirkeby , Henning Christiansen

Asymmetric Numeral Systems (ANS) is a class of entropy encoders that had an immense impact on the data compression, substituting arithmetic and Huffman coding. It was studied by different authors but the precise asymptotics of its…

Information Theory · Computer Science 2026-02-04 Dmitry Kosolobov

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

Real-world data often comes in compressed form. Analyzing compressed data directly (without decompressing it) can save space and time by orders of magnitude. In this work, we focus on fundamental sequence comparison problems and try to…

Data Structures and Algorithms · Computer Science 2021-12-14 Arun Ganesh , Tomasz Kociumaka , Andrea Lincoln , Barna Saha

Static program analysis is a valuable tool for any programming language that people write programs in. The prevalence of scripting languages in the world suggests programming language interpreters are relatively easy to write. Users of…

Programming Languages · Computer Science 2015-05-01 James Ian Johnson

In recent studies [1][13][12] Recurrent Neural Networks were used for generative processes and their surprising performance can be explained by their ability to create good predictions. In addition, data compression is also based on…

Computation and Language · Computer Science 2017-05-03 Juan Andrés Laura , Gabriel Masi , Luis Argerich

Previous works demonstrated that Automatic Text Summarization (ATS) by sentences extraction may be improved using sentence compression. In this work we present a sentence compressions approach guided by level-sentence discourse segmentation…

Computation and Language · Computer Science 2012-12-18 Alejandro Molina , Juan-Manuel Torres-Moreno , Iria da Cunha , Eric SanJuan , Gerardo Sierra

Compressed sensing is a method that allows a significant reduction in the number of samples required for accurate measurements in many applications in experimental sciences and engineering. In this work, we show that compressed sensing can…

Chemical Physics · Physics 2015-06-05 X. Andrade , J. N. Sanders , A. Aspuru-Guzik

Despite significant progress, state-of-the-art abstractive summarization methods are still prone to hallucinate content inconsistent with the source document. In this paper, we propose Constrained Abstractive Summarization (CAS), a general…

Computation and Language · Computer Science 2021-12-17 Yuning Mao , Xiang Ren , Heng Ji , Jiawei Han

A quantum storage device differs radically from a conventional physical storage device. Its state can be set to any value in a certain (infinite) state space, but in general every possible read operation yields only partial information…

Discrete Mathematics · Computer Science 2007-07-13 Robert Koenig , Ueli Maurer , Stefano Tessaro

We propose a generic feature compression method for Approximate Nearest Neighbor Search (ANNS) problems, which speeds up existing ANNS methods in a plug-and-play manner. Specifically, based on transformer, we propose a new network structure…

Information Retrieval · Computer Science 2022-04-07 Haokui Zhang , Buzhou Tang , Wenze Hu , Xiaoyu Wang

Regular expressions with capture variables, also known as regex-formulas, extract relations of spans (intervals identified by their start and end indices) from text. In turn, the class of regular document spanners is the closure of the…

Databases · Computer Science 2024-02-14 Johannes Doleschal , Benny Kimelfeld , Wim Martens

We introduce a data structure for counting pattern occurrences in texts compressed with any run-length context-free grammar. Our structure uses space proportional to the grammar size and counts the occurrences of a pattern of length $m$ in…

Data Structures and Algorithms · Computer Science 2025-01-30 Gonzalo Navarro , Alejandro Pacheco

This paper proposes a new lossless data compression coding scheme named an asymmetric encoding-decoding scheme (AEDS), which can be considered as a generalization of tANS (tabled variant of asymmetric numeral systems). In the AEDS, a data…

Information Theory · Computer Science 2026-01-26 Hirosuke Yamamoto , Ken-ichi Iwata

The traditional methods for data compression are typically based on the symbol-level statistics, with the information source modeled as a long sequence of i.i.d. random variables or a stochastic process, thus establishing the fundamental…

Computation and Language · Computer Science 2023-04-04 Mingxiao Li , Rui Jin , Liyao Xiang , Kaiming Shen , Shuguang Cui

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