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Quikr: Rapid Bacterial Community Reconstruction Via Compressive Sensing

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Mathematical, Statistical and Computational Aspects of the New Science of Metagenomics

Co-authors: Simon Foucart (University of Georgia), Gail Rosen (Drexel University)

Many metagenomic studies compare hundreds to thousands of environmental and health-related samples by extracting and sequencing their DNA . However, one of the first steps – to determine what bacteria are actually in the sample – can be a computationally time-consuming task since most methods rely on computing the classification of each individual read out of tens to hundreds of thousands of reads. We introduce Quikr: a QUadratic, K-mer based, Iterative, Reconstruction method which computes a vector of taxonomic assignments and their proportions in the sample using an optimization technique motivated from the mathematical theory of compressive sensing. On both simulated and actual biological data, we demonstrate that Quikr is typically more accurate as well as typically orders of magnitude faster than the most commonly utilized taxonomic assignment techniques for both whole genome techniques (Metaphyler, Metaphlan) and 16S rRNA techniques (the Ribosomal Database Project’s Naive Bayesian Classifier). We also show that in general nonnegative L1 minimization can be reduced to a simple nonnegative least squares problem.

Related Links: http://www.math.uga.edu/foucart/WGSQuikr_final.pdf – WGS Quikr preprint

http://www.math.uga.edu/foucart/QuikrRevisionPrePrint.pdf – Quikr preprint

http://www.math.uga.edu/~foucart/SRasNNLS_final.pdf – Sparse recovery by means of nonnegative least squares

This talk is part of the Isaac Newton Institute Seminar Series series.

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