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In shotgun sequencing, the input string (typically, a long DNA sequence composed of nucleotide bases) is sequenced as multiple overlapping fragments of much shorter lengths (called \textit{reads}). Modelling the shotgun sequencing pipeline…

Information Theory · Computer Science 2024-05-14 Hrishi Narayanan , Prasad Krishnan , Nita Parekh

While most current high-throughput DNA sequencing technologies generate short reads with low error rates, emerging sequencing technologies generate long reads with high error rates. A basic question of interest is the tradeoff between read…

Information Theory · Computer Science 2015-01-27 Ilan Shomorony , Thomas Courtade , David Tse

In this paper, it is shown that an auto-encoder using optimal reconstruction significantly outperforms a conventional auto-encoder. Optimal reconstruction uses the conditional mean of the input given the features, under a maximum entropy…

Machine Learning · Computer Science 2021-04-16 Paul M Baggenstoss

Motivation: Intimately tied to assembly quality is the complexity of the de Bruijn graph built by the assembler. Thus, there have been many paradigms developed to decrease the complexity of the de Bruijn graph. One obvious combinatorial…

Computational Engineering, Finance, and Science · Computer Science 2014-08-26 Seyed Basir Shariat Razavi , Narjes Sadat Movahedi Tabrizi , Hamidreza Chitsaz , Christina Boucher

Motivation: Second generation sequencing technology makes it feasible for many researches to obtain enough sequence reads to attempt the de novo assembly of higher eukaryotes (including mammals). De novo assembly not only provides a tool…

Genomics · Quantitative Biology 2010-08-17 Thomas C Conway , Andrew J Bromage

A quest to determine the complete sequence of a human DNA from telomere to telomere started three decades ago and was finally completed in 2021. This accomplishment was a result of a tremendous effort of numerous experts who engineered…

Genomics · Quantitative Biology 2022-06-03 Lovro Vrček , Xavier Bresson , Thomas Laurent , Martin Schmitz , Mile Šikić

We propose a new compression scheme for genomic data given as sequence fragments called reads. The scheme uses a reference genome at the decoder side only, freeing the encoder from the burdens of storing references and performing…

Information Theory · Computer Science 2023-02-10 Yotam Gershon , Yuval Cassuto

We study the shotgun assembly problem for the lattice labeling model, where i.i.d. uniform labels are assigned to each vertex in a $d$-dimensional box of side length $n$. We wish to recover the labeling configuration on the whole box given…

Probability · Mathematics 2022-05-04 Jian Ding , Haoyu Liu

Regenerating codes allow distributed storage systems to recover from the loss of a storage node while transmitting the minimum possible amount of data across the network. We present a systematic computer search for optimal systematic…

Information Theory · Computer Science 2009-10-14 Daniel Cullina , Alexandros G. Dimakis , Tracey Ho

We present a numerical method for the reconstruction and optimization of complex field synthesis using coherent pulse combination systems. A genetic algorithm utilizing a Fourier optics based propagation method is developed for accurate…

Optics · Physics 2020-05-29 Randy Lemons , Sergio Carbajo

We introduce a parallel algorithmic architecture for metagenomic sequence assembly, termed MetaPar, which allows for significant reductions in assembly time and consequently enables the processing of large genomic datasets on computers with…

Quantitative Methods · Quantitative Biology 2013-11-18 Minji Kim , Jonathan G. Ligo , Amin Emad , Farzad Farnoud , Olgica Milenkovic , Venugopal V. Veeravalli

In this article we show that the reconstructions of semiconductor surfaces can be determined using a genetic procedure. Coupled with highly optimized interatomic potentials, the present approach represents an efficient tool for finding and…

Materials Science · Physics 2009-11-10 F. C. Chuang , C. V. Ciobanu , V. B. Shenoy , C. Z. Wang , K. M. Ho

We propose a general method for optimally approximating an arbitrary matrix $\mathbf{M}$ by a structured matrix $\mathbf{T}$ (circulant, Toeplitz/Hankel, etc.) and examine its use for estimating the spectra of genomic linkage disequilibrium…

Applications · Statistics 2024-09-10 Chris Salahub , Jeffrey Uhlmann

Long-range and highly accurate de novo assembly from short-read data is one of the most pressing challenges in genomics. Recently, it has been shown that read pairs generated by proximity ligation of DNA in chromatin of living tissue can…

This paper proposes a general optimization strategy, which combines results from different optimization or parameter estimation methods to overcome shortcomings of a single method. Shotgun optimization is developed as a framework which…

Computation · Statistics 2017-11-15 Biljana Jonoska Stojkova , David A. Campbell

Coverage of image features play an important role in many vision algorithms since their distribution affect the estimated homography. This paper presents a Genetic Algorithm (GA) in order to select the optimal set of features yielding…

Computer Vision and Pattern Recognition · Computer Science 2017-04-21 Erkan Bostanci

This work studies problems in data reconstruction, an important area with numerous applications. In particular, we examine the reconstruction of binary and non-binary sequences from synchronization (insertion/deletion-correcting) codes.…

Information Theory · Computer Science 2017-03-09 Frederic Sala , Ryan Gabrys , Clayton Schoeny , Lara Dolecek

Genome assembly is a prominent problem studied in bioinformatics, which computes the source string using a set of its overlapping substrings. Classically, genome assembly uses assembly graphs built using this set of substrings to compute…

Data Structures and Algorithms · Computer Science 2024-09-24 Saumya Talera , Parth Bansal , Shabnam Khan , Shahbaz Khan

The formal version of our work has been published in BMC Bioinformatics and can be found here: http://www.biomedcentral.com/1471-2105/13/S6/S1 Motivation: To tackle the problem of huge memory usage associated with de Bruijn graph-based…

Data Structures and Algorithms · Computer Science 2013-01-10 Chengxi Ye , Charles H. Cannon , Zhanshan Sam Ma , Douglas W. Yu , Mihai Pop

Defect-free single atom array in optical tweezers is a promising platform for scalable quantum computing, quantum simulation, and quantum metrology. Extending single-species array to mixed-species one promise to offer new possibilities. In…