A multigrid optimization framework for vector quantization

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dc.contributor.advisorNash, Stephen
dc.contributor.advisorEmelianenko, Maria
dc.contributor.authorDi, Zichao
dc.creatorDi, Zichao
dc.date.accessioned2013-08-19T21:16:34Z
dc.date.available2013-08-19T21:16:34Z
dc.date.issued2013-08
dc.description.abstractIn this thesis, we apply the multilevel optimization framework (MG/OPT) to a class of vector quantization problem. Specially, we focus on a problem called centroidal Voronoi tessellations (CVTs). MG/OPT is a generalization of traditional multigrid for solving partial differential equations. This framework assumes that there exists a hierarchy of models of the underlying optimization problem, corresponding to levels of detail in the problem, and the interest is to find the solution at the nest level. The intent of MG/OPT is to use calculations on ate the progress of the optimization on the nest level.
dc.format.extent114 pages
dc.identifier.urihttps://hdl.handle.net/1920/8363
dc.language.isoen
dc.rightsCopyright 2013 Zichao Di
dc.subjectApplied mathematics
dc.subjectMultigrid
dc.subjectNonlinear programming
dc.subjectOptimal control
dc.subjectOptimization
dc.subjectVector quantization
dc.titleA multigrid optimization framework for vector quantization
dc.typeDissertation
thesis.degree.disciplineMathematics
thesis.degree.grantorGeorge Mason University
thesis.degree.levelDoctoral

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