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Related papers: Data Compression with Prime Numbers

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This article describes lossless compression algorithms for multisets of sequences, taking advantage of the multiset's unordered structure. Multisets are a generalisation of sets where members are allowed to occur multiple times. A multiset…

Information Theory · Computer Science 2014-01-27 Christian Steinruecken

A popular approach to sentence compression is to formulate the task as a constrained optimization problem and solve it with integer linear programming (ILP) tools. Unfortunately, dependence on ILP may make the compressor prohibitively slow,…

Computation and Language · Computer Science 2015-10-29 Katja Filippova , Enrique Alfonseca

We study the problem of compressing a source sequence in the presence of side-information that is related to the source via insertions, deletions and substitutions. We propose a simple algorithm to compress the source sequence when the…

Information Theory · Computer Science 2016-11-15 Nan Ma , Kannan Ramchandran , David Tse

Data compression is a ubiquitous aspect of modern information technology, and the advent of quantum information raises the question of what types of compression are feasible for quantum data, where it is especially relevant given the…

Quantum Physics · Physics 2014-12-17 Lee A. Rozema , Dylan H. Mahler , Alex Hayat , Peter S. Turner , Aephraim M. Steinberg

Compression algorithms are important for data oriented tasks, especially in the era of Big Data. Modern processors equipped with powerful SIMD instruction sets, provide us an opportunity for achieving better compression performance.…

Information Retrieval · Computer Science 2015-04-15 Wayne Xin Zhao , Xudong Zhang , Daniel Lemire , Dongdong Shan , Jian-Yun Nie , Hongfei Yan , Ji-Rong Wen

Compressing integer keys is a fundamental operation among multiple communities, such as database management (DB), information retrieval (IR), and high-performance computing (HPC). Recent advances in \emph{learned indexes} have inspired the…

Databases · Computer Science 2024-12-17 Qiyu Liu , Siyuan Han , Jianwei Liao , Jin Li , Jingshu Peng , Jun Du , Lei Chen

We introduce an algorithm to reduce large data sets using so-called digital nets, which are well distributed point sets in the unit cube. These point sets together with weights, which depend on the data set, are used to represent the data.…

Numerical Analysis · Mathematics 2021-05-31 Josef Dick , Michael Feischl

Suppose there is a large file which should be transmitted (or stored) and there are several (say, m) admissible data-compressors. It seems natural to try all the compressors and then choose the best, i.e. the one that gives the shortest…

Information Theory · Computer Science 2018-09-11 Boris Ryabko

The predictive advantage of combining several different predictive models is widely accepted. Particularly in time series forecasting problems, this combination is often dynamic to cope with potential non-stationary sources of variation…

Machine Learning · Statistics 2021-04-06 Vitor Cerqueira , Luis Torgo , Carlos Soares , Albert Bifet

The volume of data and the velocity with which it is being generated by com- putational experiments on high performance computing (HPC) systems is quickly outpacing our ability to effectively store this information in its full fidelity.…

Computation · Statistics 2014-07-14 Henry Scharf , Ryan Elmore , Kenny Gruchalla

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

In today's data driven world, storing, processing, and gleaning insights from large-scale data are major challenges. Data compression is often required in order to store large amounts of high-dimensional data, and thus, efficient inference…

Machine Learning · Statistics 2018-09-11 Denali Molitor , Deanna Needell

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

Machine-generated data is rapidly growing and poses challenges for data-intensive systems, especially as the growth of data outpaces the growth of storage space. To cope with the storage issue, compression plays a critical role in storage…

Databases · Computer Science 2023-11-27 Jiujing Zhang , Zhitao Shen , Shiyu Yang , Lingkai Meng , Chuan Xiao , Wei Jia , Yue Li , Qinhui Sun , Wenjie Zhang , Xuemin Lin

A novel data compression scheme is presented. The method is very suitable for black and white images, and it can generate a compression factor of eight; in general the bitmap is optimized for an arbitary number of colors and not only for…

General Physics · Physics 2007-05-23 Gordon Chalmers

With endless amounts of data and very limited bandwidth, fast data compression is one solution for the growing datasharing problem. Compression helps lower transfer times and save memory, but if the compression takes too long, this no…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-21 David Noel , Elizabeth Graham , Liyuan Liu

Linear models are used in online decision making, such as in machine learning, policy algorithms, and experimentation platforms. Many engineering systems that use linear models achieve computational efficiency through distributed systems…

Machine Learning · Computer Science 2021-03-04 Jeffrey Wong , Eskil Forsell , Randall Lewis , Tobias Mao , Matthew Wardrop

First-order probabilistic models combine representational power of first-order logic with graphical models. There is an ongoing effort to design lifted inference algorithms for first-order probabilistic models. We analyze lifted inference…

Artificial Intelligence · Computer Science 2012-05-14 Jacek Kisynski , David L Poole

In this paper we propose an index key compression scheme based on the notion of distinction bits by proving that the distinction bits of index keys are sufficient information to determine the sorted order of the index keys correctly. While…

Databases · Computer Science 2020-09-25 Yongsik Kwon , Cheol Ryu , Sang Kyun Cha , Arthur H. Lee , Kunsoo Park , Bongki Moon

In this work we show that the prime distribution is deterministic. Indeed the set of prime numbers P can be expressed in terms of two subsets of N using three specific selection rules, acting on two sets of prime candidates. The prime…

General Mathematics · Mathematics 2007-09-12 Gerardo Iovane