Application of Lempel–Ziv factorization to the approximation of grammar-based compression

W Rytter - Theoretical Computer Science, 2003 - Elsevier
We introduce new type of context-free grammars, AVL-grammars, and show their
applicability to grammar-based compression. Using this type of grammars we present O (n …

Fast randomized singular value thresholding for nuclear norm minimization

TH Oh, Y Matsushita, YW Tai… - Proceedings of the …, 2015 - openaccess.thecvf.com
Rank minimization problem can be boiled down to either Nuclear Norm Minimization (NNM)
or Weighted NNM (WNNM) problem. The problems related to NNM (or WNNM) can be …

[PDF][PDF] Byte pair encoding: A text compression scheme that accelerates pattern matching

Y Shibata, T Kida, S Fukamachi, M Takeda… - 1999 - researchgate.net
Byte pair encoding (BPE) is a simple universal text compression scheme. Decompression is
very fast and requires small work space. Moreover, it is easy to decompress an arbitrary part …

Searching and indexing genomic databases via kernelization

T Gagie, SJ Puglisi - Frontiers in Bioengineering and Biotechnology, 2015 - frontiersin.org
The rapid advance of DNA sequencing technologies has yielded databases of thousands of
genomes. To search and index these databases effectively, it is important that we take …

Self-indexed grammar-based compression

F Claude, G Navarro - Fundamenta Informaticae, 2011 - content.iospress.com
Self-indexes aim at representing text collections in a compressed format that allows
extracting arbitrary portions and also offers indexed searching on the collection. Current self …

Collage system: a unifying framework for compressed pattern matching

T Kida, T Matsumoto, Y Shibata, M Takeda… - Theoretical Computer …, 2003 - Elsevier
We introduce a general framework which is suitable to capture the essence of compressed
pattern matching according to various dictionary-based compressions. It is a formal system …

An improved pattern matching algorithm for strings in terms of straight-line programs

M Miyazaki, A Shinohara, M Takeda - … , CPM 97 Aarhus, Denmark, June 30 …, 1997 - Springer
We show an efficient pattern-matching algorithm for strings that are succinctly described in
terms of straight-line programs, in which the constants are symbols and the only operation is …

A general practical approach to pattern matching over Ziv-Lempel compressed text

G Navarro, M Raffinot - … Pattern Matching: 10th Annual Symposium, CPM …, 1999 - Springer
We address the problem of string matching on Ziv-Lempel compressed text. The goal is to
search a pattern in a text without uncompressing it. This is a highly relevant issue to keep …

Multiple pattern matching in LZW compressed text

T Kida, M Takeda, A Shinohara… - Proceedings DCC'98 …, 1998 - ieeexplore.ieee.org
We address the problem of searching in LZW compressed text directly, and present a new
algorithm for finding multiple patterns by simulating the move of the Aho-Corasick (1975) …

Access, rank, and select in grammar-compressed strings

D Belazzougui, PH Cording, SJ Puglisi… - Algorithms-ESA 2015 …, 2015 - Springer
Given a string S of length N on a fixed alphabet of σ symbols, a grammar compressor
produces a context-free grammar G of size n that generates S and only S. In this paper we …