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In the following paper we consider a simulation technique for stochastic trees. One of the most important areas in computational genetics is the calculation and subsequent maximization of the likelihood function associated to such models.…

Computation · Statistics 2015-05-20 Ajay Jasra , Maria De Iorio , Marc Chadeau-Hyam

Principal Component Analysis (PCA) is a ubiquitous tool with many applications in machine learning including feature construction, subspace embedding, and outlier detection. In this paper, we present an algorithm for computing the top…

Machine Learning · Computer Science 2013-10-25 Nikos Karampatziakis , Paul Mineiro

The vast parallelism, exceptional energy efficiency and extraordinary information inherent in DNA molecules are being explored for computing, data storage and cryptography. DNA cryptography is a emerging field of cryptography. In this paper…

Cryptography and Security · Computer Science 2011-01-14 D. Prabhu , M. Adimoolam

The transition from petascale to exascale computers is characterized by substantial changes in the computer architectures and technologies. The research community relying on computational simulations is being forced to revisit the…

Computational Engineering, Finance, and Science · Computer Science 2015-11-02 Travis Johnston , Boyu Zhang , Adam Liwo , Silvia Crivelli , Michela Taufer

Principal component analysis (PCA) is routinely used in population genetics to assess genetic structure. With chromosomal reference genomes and population-scale whole genome-sequencing becoming increasingly accessible, contemporary studies…

Populations and Evolution · Quantitative Biology 2025-01-22 L. Moritz Blumer , Jeffrey M. Good , Richard Durbin

We study the distributed computing setting in which there are multiple servers, each holding a set of points, who wish to compute functions on the union of their point sets. A key task in this setting is Principal Component Analysis (PCA),…

Machine Learning · Computer Science 2014-12-24 Maria-Florina Balcan , Vandana Kanchanapally , Yingyu Liang , David Woodruff

Ribonucleic acids (RNA) are unique in that they can store genetic information, replicate and perform catalysis. Importantly, RNA molecules are highly dynamic, and thus determining the ensemble of conformations that they populate is crucial…

A generalized understanding of protein dynamics is an unsolved scientific problem, the solution of which is critical to the interpretation of the structure-function relationships that govern essential biological processes. Here, we approach…

Tissues are fractal due to its self-similar structure, and the fractal dimension change with the abnormalities such as in disease like cancer. The optical imaging of thin slices of tissue using transmission microscopy can produce an…

Biological Physics · Physics 2020-12-29 Liam Elkington , Prakash Adhikari , Prabhakar Pradhan

A probabilistic discrete model for 2D protein crystal growth is presented. This model takes into account the available space and can describe growing processes of different nature due to the versatility of its parameters which gives the…

Biological Physics · Physics 2019-02-20 V. J. Bolós , R. Benítez , A. Eleta-López , J. L. Toca-Herrera

Sequencing by Emergence (SEQE) is a new single-molecule nucleic acid (DNA/RNA) sequencing technology that estimates sequence as an emergent property of the binding and localization of a repertoire of short oligonucleotide probes. SEQE…

Genomics · Quantitative Biology 2021-08-04 Nicholas Boyd , Samuel Woodhouse , Kalim Mir

Random projection is widely used as a method of dimension reduction. In recent years, its combination with standard techniques of regression and classification has been explored. Here we examine its use with principal component analysis…

Methodology · Statistics 2012-04-13 Qi Ding , Eric D. Kolaczyk

To simulate long time and length scale processes involving DNA it is necessary to use a coarse-grained description. Here we provide an overview of different approaches to such coarse graining, focussing on those at the nucleotide level that…

Genetic recombination can produce heterogeneous phylogenetic histories within a set of homologous genes. Delineating recombination events is important in the study of molecular evolution, as inference of such events provides a clearer…

Populations and Evolution · Quantitative Biology 2007-09-13 Cheong Xin Chan , Robert G. Beiko , Mark A. Ragan

This paper proposes a novel approach for storing and retrieving massive DNA sequences.. The method is based on a perceptual hash function, commonly used to determine the similarity between digital images, that we adapted for DNA sequences.…

Computational Engineering, Finance, and Science · Computer Science 2014-12-18 Jocelyn De Goer De Herve , Myoung-Ah Kang , Xavier Bailly , Engelbert Mephu Nguifo

Proteins are miniature machines whose function depends on their three-dimensional (3D) structure. Determining this structure computationally remains an unsolved grand challenge. A major bottleneck involves selecting the most accurate…

Quantitative Methods · Quantitative Biology 2020-11-30 Stephan Eismann , Patricia Suriana , Bowen Jing , Raphael J. L. Townshend , Ron O. Dror

The recent development of single-cell transcriptomics has enabled gene expression to be measured in individual cells instead of being population-averaged. Despite this considerable precision improvement, inferring regulatory networks…

Molecular Networks · Quantitative Biology 2017-11-28 Ulysse Herbach , Arnaud Bonnaffoux , Thibault Espinasse , Olivier Gandrillon

The study of stability and sensitivity of statistical methods or algorithms with respect to their data is an important problem in machine learning and statistics. The performance of the algorithm under resampling of the data is a…

Statistics Theory · Mathematics 2023-02-15 Haoyu Wang

The two strands of a DNA molecule with a repetitive sequence can pair into many different basepairing patterns. For perfectly periodic sequences, early bulk experiments of Poerschke indicate the existence of a sliding process, permitting…

Biomolecules · Quantitative Biology 2007-05-23 Richard A. Neher , Ulrich Gerland

We use a coarse-grained model of DNA-functionalized particles to understand the role of DNA chain length on their self-assembly. We find that the increasing chain length for a given particle size decreases the propensity to form ordered…

Soft Condensed Matter · Physics 2020-01-07 Runfang Mao , Jeetain Mittal