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dc.contributor.authorParker, Albert E.
dc.contributor.authorPitts, Betsey
dc.contributor.authorLorenz, Lindsey A.
dc.contributor.authorStewart, Philip S.
dc.date.accessioned2018-11-07T21:36:23Z
dc.date.available2018-11-07T21:36:23Z
dc.date.issued2018-06
dc.identifier.citationParker, Albert E., Betsey Pitts, Lindsey Lorenz, and Philip S. Stewart. “Polynomial Accelerated Solutions to a Large Gaussian Model for Imaging Biofilms: In Theory and Finite Precision.” Journal of the American Statistical Association (June 28, 2018): 1–12. doi:10.1080/01621459.2017.1409121.en_US
dc.identifier.issn0162-1459
dc.identifier.urihttps://scholarworks.montana.edu/xmlui/handle/1/14996
dc.description.abstractThree-dimensional confocal scanning laser microscope images offer dramatic visualizations of living biofilms before and after interventions. Here, we use confocal microscopy to study the effect of a treatment over time that causes a biofilm to swell and contract due to osmotic pressure changes. From these data (the video is provided in the supplementary materials), our goal is to reconstruct biofilm surfaces, to estimate the effect of the treatment on the biofilm’s volume, and to quantify the related uncertainties. We formulate the associated massive linear Bayesian inverse problem and then solve it using iterative samplers from large multivariate Gaussians that exploit well-established polynomial acceleration techniques from numerical linear algebra. Because of a general equivalence with linear solvers, these polynomial accelerated iterative samplers have known convergence rates, stopping criteria, and perform well in finite precision. An explicit algorithm is provided, for the first time, for an iterative sampler that is accelerated by the synergistic implementation of preconditioned conjugate gradient and Chebyshev polynomials.en_US
dc.description.sponsorshipNIH award GM109452en_US
dc.language.isoenen_US
dc.rightsThis Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).en_US
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en_US
dc.titlePolynomial accelerated solutions to a LARGE Gaussian model for imaging biofilms: in theory and finite precisionen_US
dc.typeArticleen_US
mus.citation.extentfirstpage1en_US
mus.citation.extentlastpage13en_US
mus.citation.journaltitleJournal of the American Statistical Associationen_US
mus.identifier.categoryLife Sciences & Earth Sciencesen_US
mus.identifier.doi10.1080/01621459.2017.1409121en_US
mus.relation.collegeCollege of Engineeringen_US
mus.relation.departmentCenter for Biofilm Engineering.en_US
mus.relation.universityMontana State University - Bozemanen_US
mus.data.thumbpage10en_US


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