Decreasing flow uncertainty in Bayesian inverse problems through Lagrangian drifter control

Commonplace in oceanography is the collection of ocean drifter positions. Ocean drifters are devices that sit on the surface of the ocean and move with the flow, transmitting their position via GPS to stations on land. Using drifter data, it is possible to obtain a posterior on the underlying flow....

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Bibliographic Details
Published inarXiv.org
Main Authors McDougall, Damon, Chris K R T Jones
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 27.08.2014
Subjects
Bayesian analysis
Drift
Global positioning systems
GPS
Inverse problems
Oceanography
Satellite navigation systems
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Summary:Commonplace in oceanography is the collection of ocean drifter positions. Ocean drifters are devices that sit on the surface of the ocean and move with the flow, transmitting their position via GPS to stations on land. Using drifter data, it is possible to obtain a posterior on the underlying flow. This problem, however, is highly underdetermined. Through controlling an ocean drifter, we attempt to improve our knowledge of the underlying flow. We do this by instructing the drifter to explore parts of the flow currently uncharted, thereby obtaining fresh observations. The efficacy of a control is determined by its effect on the variance of the posterior distribution. A smaller variance is interpreted as a better understanding of the flow. We show a systematic reduction in variance can be achieved by utilising controls that allow the drifter to navigate new or interesting flow structures, a good example of which are eddies.
ISSN:2331-8422