| Probabilistic PCA and Ocean Acoustic Tomography Inversion with an Adjoint Method. | |
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MedLine Citation:
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PMID: 18531135 Owner: NLM Status: In-Data-Review |
Abstract/OtherAbstract:
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We present an Ocean Acoustic Tomography (OAT) inversion in a shallow water environment. The idea is to determine the celerity c(z), z is depth, knowing the acoustic pressures caused by a multiple frequencies source and collected by a sparse receiver array. The variational approach minimizes a cost function which measures the adequacy between the measurements and their forward model equivalent. This method introduces also a regularisation term in the form (c(z)-c(b))(t)B(-1)(c(z)-c(b)), which supposes that c(z) follows an a priori normal law. To circumvent the problem of estimating B(-1), we propose to model the celerity vectors by a probabilistic PCA. In contrast to the methods which use PCA as a regularization method and filter the useful information, we take a sufficient number of axes which allow the modelization of useful information and filter only the noise. The probabilistic PCA introduces a reduced number of non correlated latent variables eta which act as new control parameters introduced in the cost function. This new regularization term, expressed as eta (t)eta, reduces the optimization computation time. In the following we apply the probabilistic PCA to an OAT problem, and present the results obtained when performing twin experiments. |
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Authors:
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Mohamed Berrada; Fouad Badran; Sylvie Thiria |
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Publication Detail:
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Type: Journal Article |
Journal Detail:
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Title: The Journal of the Acoustical Society of America Volume: 123 ISSN: 1520-8524 ISO Abbreviation: J. Acoust. Soc. Am. Publication Date: 2008 May |
Date Detail:
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Created Date: 2008-06-05 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 7503051 Medline TA: J Acoust Soc Am Country: United States |
Other Details:
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Languages: eng Pagination: 3510 Citation Subset: IM |
Affiliation:
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Laboratoire d'Océanographie et du Climat - Expérimentation et Approches Numériques, Université Pierre et Marie Curie, Tour 45-55 - 5ème étage - 4, place Jussieu, 75005 Paris, France, mohamed.berrada@locean-ipsl.upmc.fr. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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