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- Giving to Math

Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, October 4, 2013 - 05:00 to 06:00

Location:

GLK 115

Event Link:

Abstract:

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.