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This article introduces a new DNA sequence compression algorithm which is based on LUT and LZ77 algorithm. Combined a LUT-based pre-coding routine and LZ77 compression routine,this algorithm can approach a compression ratio of 1.9bits…

Information Theory · Computer Science 2007-07-16 Sheng Bao , Shi Chen , Zhiqiang Jing , Ran Ren

Tandem duplication in DNA is the process of inserting a copy of a segment of DNA adjacent to the original position. Motivated by applications that store data in living organisms, Jain {\em et al.} (2016) proposed the study of codes that…

Combinatorics · Mathematics 2017-11-20 Yeow Meng Chee , Johan Chrisnata , Han Mao Kiah , Tuan Thanh Nguyen

DNA sequencing has faced a huge demand since it was first introduced as a service to the public. This service is often offloaded to the sequencing companies who will have access to full knowledge of individuals' sequences, a major violation…

Information Theory · Computer Science 2019-04-04 Ali Gholami , Mohammad Ali Maddah-Ali , Seyed Abolfazl Motahari

This commentary discusses a recently proposed measure of heterogeneity of DNA sequences and compares with the measures of complexity.

adap-org · Physics 2012-05-07 Wentian Li

Constraints can be interpreted in a broad sense as any kind of explicit restriction over the parameters. While some constraints are defined directly on the parameter space, when they are instead defined by known behaviour on the model,…

Methodology · Statistics 2015-02-27 Shirin Golchi , David A. Campbell

We present a novel framework for kernel learning with sequential data of any kind, such as time series, sequences of graphs, or strings. Our approach is based on signature features which can be seen as an ordered variant of sample…

Machine Learning · Statistics 2016-02-01 Franz J Király , Harald Oberhauser

As the state-of-the-art machine learning methods in many fields rely on larger datasets, storing datasets and training models on them become significantly more expensive. This paper proposes a training set synthesis technique for…

Computer Vision and Pattern Recognition · Computer Science 2021-03-09 Bo Zhao , Konda Reddy Mopuri , Hakan Bilen

Synthesis of DNA molecules offers unprecedented advances in storage technology. Yet, the microscopic world in which these molecules reside induces error patterns that are fundamentally different from their digital counterparts. Hence, to…

Information Theory · Computer Science 2017-08-08 Netanel Raviv , Moshe Schwartz , Eitan Yaakobi

Over the past years, the ever-growing trend on data storage demand, more specifically for "cold" data (i.e. rarely accessed), has motivated research for alternative systems of data storage. Because of its biochemical characteristics,…

Image and Video Processing · Electrical Eng. & Systems 2023-09-15 Xavier Pic , Melpomeni Dimopoulou , Eva Gil San Antonio , Marc Antonini

This paper describes a new alignment algorithm for sequences that can be used for determination of deletions and substitutions. It provides several solutions out of which the best one can be chosen on the basis of minimization of gaps or…

Information Theory · Computer Science 2012-11-01 Sandeep Hosangadi , Subhash Kak

This paper introduces a new family of reconstruction codes which is motivated by applications in DNA data storage and sequencing. In such applications, DNA strands are sequenced by reading some subset of their substrings. While previous…

Information Theory · Computer Science 2022-05-10 Yonatan Yehezkeally , Daniella Bar-Lev , Sagi Marcovich , Eitan Yaakobi

A hypercomplex representation of DNA is proposed to facilitate comparison of DNA sequences with fuzzy composition. Using hypercomplex number representation, conventional sequence analysis method, such as, dot matrix analysis, dynamic…

Quantitative Methods · Quantitative Biology 2023-08-03 Jian-Jun Shu , Yajing Li

Thinning is the removal of contour pixels/points of connected components in an image to produce their skeleton with retained connectivity and structural properties. The output requirements of a thinning procedure often vary with…

Computer Vision and Pattern Recognition · Computer Science 2017-11-20 Himanshu Jain , Archana Praveen Kumar

DNA is an attractive medium for digital data storage. When data is stored on DNA, errors occur, which makes error-correcting coding techniques critical for reliable DNA data storage. To reduce the errors, a common technique is to include…

Information Theory · Computer Science 2024-06-27 Franziska Weindel , Andreas L. Gimpel , Robert N. Grass , Reinhard Heckel

The yearly global production of data is growing exponentially, outpacing the capacity of existing storage media, such as tape and disk, and surpassing our ability to store it. DNA storage - the representation of arbitrary information as…

Quantitative Methods · Quantitative Biology 2023-10-04 Thomas Heinis , Roman Sokolovskii , Jamie J. Alnasir

Algorithms for decentralized optimization and learning rely on local optimization steps coupled with combination steps over a graph. Recent works have demonstrated that using a time-varying sequence of matrices that achieves finite-time…

Optimization and Control · Mathematics 2026-02-17 Aaron Fainman , Stefan Vlaski

Combining data has become an indispensable tool for managing the current diversity and abundance of data. But, as data complexity and data volume swell, the computational demands of previously proposed models for combining data escalate…

Methodology · Statistics 2024-06-13 Mario Figueira , David Conesa , Antonio López-Quílez , Iosu Paradinas

To increase the information capacity of DNA storage, composite DNA letters were introduced. We propose a novel channel model for composite DNA in which composite sequences are decomposed into ordered standard non-composite sequences. The…

Information Theory · Computer Science 2025-10-31 Besart Dollma , Ohad Elishco , Eitan Yaakobi

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

Motivation: Next Generation Sequencing technologies revolutionized many fields in biology by enabling the fast and cheap sequencing of large amounts of genomic data. The ever increasing sequencing capacities enabled by current sequencing…

Genomics · Quantitative Biology 2012-07-24 Himanshu Asnani , Dinesh Bharadia , Mainak Chowdhury , Idoia Ochoa , Itai Sharon , Tsachy Weissman