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Lempel-Ziv is an easy-to-compute member of a wide family of so-called macro schemes; it restricts pointers to go in one direction only. Optimal bidirectional macro schemes are NP-complete to find, but they may provide much better…

Data Structures and Algorithms · Computer Science 2020-03-06 Luís M. S. Russo , Ana D. Correia , Gonzalo Navarro , Alexandre P. Francisco

We propose a new representation of the offsets of the Lempel-Ziv (LZ) factorization based on the co-lexicographic order of the processed prefixes. The selected offsets tend to approach the k-th order empirical entropy. Our evaluations show…

Data Structures and Algorithms · Computer Science 2021-11-05 Dominik Köppl , Gonzalo Navarro , Nicola Prezza

Motivation: High-coverage sequencing data have significant, yet hard to exploit, redundancy. Most FASTQ compressors cannot efficiently compress the DNA stream of large datasets, since the redundancy between overlapping reads cannot be…

Data Structures and Algorithms · Computer Science 2014-09-19 Szymon Grabowski , Sebastian Deorowicz , Łukasz Roguski

Approximate nearest neighbor search for vectors relies on indexes that are most often accessed from RAM. Therefore, storage is the factor limiting the size of the database that can be served from a machine. Lossy vector compression, i.e.,…

Machine Learning · Computer Science 2025-01-22 Daniel Severo , Giuseppe Ottaviano , Matthew Muckley , Karen Ullrich , Matthijs Douze

The pressing need for eficient compression schemes for XML documents has recently been focused on stack computation [6, 9], and in particular calls for a formulation of information-lossless stack or pushdown compressors that allows a formal…

Information Theory · Computer Science 2007-09-17 Pilar Albert , Elvira Mayordomo , Philippe Moser , Sylvain Perifel

A well-known fact in the field of lossless text compression is that high-order entropy is a weak model when the input contains long repetitions. Motivated by this, decades of research have generated myriads of so-called dictionary…

Data Structures and Algorithms · Computer Science 2020-12-17 Dominik Kempa , Nicola Prezza

Sequence processing has long been a central area of machine learning research. Recurrent neural nets have been successful in processing sequences for a number of tasks; however, they are known to be both ineffective and computationally…

Machine Learning · Computer Science 2022-11-28 Rebecca Saul , Mohammad Mahmudul Alam , John Hurwitz , Edward Raff , Tim Oates , James Holt

In this paper we compare the difference in performance of two of the Prediction by Partial Matching (PPM) family of compressors (PPM$^*$ and the original Bounded PPM algorithm) and the Lempel-Ziv 78 (LZ) algorithm. We construct an infinite…

Data Structures and Algorithms · Computer Science 2021-01-21 Liam Jordon , Philippe Moser

Data used for analytics and machine learning often take the form of tables with categorical entries. We introduce a family of lossless compression algorithms for such data that proceed in four steps: $(i)$ Estimate latent variables…

Information Theory · Computer Science 2023-02-21 Andrea Montanari , Eric Weiner

Dense Retrieval (DR) has achieved state-of-the-art first-stage ranking effectiveness. However, the efficiency of most existing DR models is limited by the large memory cost of storing dense vectors and the time-consuming nearest neighbor…

Information Retrieval · Computer Science 2021-10-13 Jingtao Zhan , Jiaxin Mao , Yiqun Liu , Jiafeng Guo , Min Zhang , Shaoping Ma

For taxonomic classification, we are asked to index the genomes in a phylogenetic tree such that later, given a DNA read, we can quickly choose a small subtree likely to contain the genome from which that read was drawn. Although popular…

Data Structures and Algorithms · Computer Science 2024-04-08 Dominika Draesslerová , Omar Ahmed , Travis Gagie , Jan Holub , Ben Langmead , Giovanni Manzini , Gonzalo Navarro

As nowadays Machine Learning (ML) techniques are generating huge data collections, the problem of how to efficiently engineer their storage and operations is becoming of paramount importance. In this article we propose a new lossless…

Data Structures and Algorithms · Computer Science 2022-03-31 Paolo Ferragina , Travis Gagie , Dominik Köppl , Giovanni Manzini , Gonzalo Navarro , Manuel Striani , Francesco Tosoni

This paper describes a method to efficiently retrieve protein database sequences similar to a query sequence, while allowing for significant numbers of mutations. We call this method SEQR for SEQuence Retrieval. This approach increases the…

Genomics · Quantitative Biology 2018-11-05 David I. Hurwitz , Lianyi Han , Lewis Y. Geer

LRM-Trees are an elegant way to partition a sequence of values into sorted consecutive blocks, and to express the relative position of the first element of each block within a previous block. They were used to encode ordinal trees and to…

Data Structures and Algorithms · Computer Science 2010-09-30 Jérémy Barbay , Johannes Fischer

Since the release of human genome sequences, one of the most important research issues is about indexing the genome sequences, and the suffix tree is most widely adopted for that purpose. The traditional suffix tree construction algorithms…

Databases · Computer Science 2015-05-20 Woong-Kee Loh , Yang-Sae Moon , Wookey Lee

Compressed sensing is a technique for recovering a high-dimensional signal from lower-dimensional data, whose components represent partial information about the signal, utilizing prior knowledge on the sparsity of the signal. For further…

Information Theory · Computer Science 2014-02-18 Yingying Xu , Yoshiyuki Kabashima

Significant volumes of knowledge have been accumulated in recent years linking subtle genetic variations to a wide variety of medical disorders from Cystic Fibrosis to mental retardation. Nevertheless, there are still great challenges in…

Genomics · Quantitative Biology 2016-11-17 Yaniv Erlich , Assaf Gordon , Michael Brand , Gregory J. Hannon , Partha P. Mitra

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

Efficient methods for storing and querying are critical for scaling high-order n-gram language models to large corpora. We propose a language model based on compressed suffix trees, a representation that is highly compact and can be easily…

Computation and Language · Computer Science 2016-08-17 Ehsan Shareghi , Matthias Petri , Gholamreza Haffari , Trevor Cohn

Machine learning is penetrating various domains virtually, thereby proliferating excellent results. It has also found an outlet in digital forensics, wherein it is becoming the prime driver of computational efficiency. A prominent feature…

Computer Vision and Pattern Recognition · Computer Science 2022-01-13 Shubham Bharadwaj
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