Some results on a class of functional optimization problems
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Some results on a class of functional optimization problems
University of VermontScholarWorks (a) UVMGraduate College Dissertations and ThesesDissertations and Theses2018Some results on a class of functional op Some results on a class of functional optimization problemsptimization problemsDavid Rushing DewhurstL'niwwity of Vermontl-ollow this and additional works at: https:/Zscholarworks.uvm.edu/graddisO' Part of the Economic Theory Commons, Mathematics Commons, and the Physics CommonsRecommended CitationDewhurst, David Rushing, 'Some result* on a class of functio Some results on a class of functional optimization problemsnal optimization problems’ (2018). Graduate Coỉkgt DlííertatiửHí and Thaei. 884.https://scholarwotks.uvm.edu/graddK/884This Thesis K brought to you ỂoSome results on a class of functional optimization problems
r free and open access by the Dissertations and Theses at ScholarWoeks LVM. It has been accepted tor inclusion in Graduate College DisstrUtiom and TheUniversity of VermontScholarWorks (a) UVMGraduate College Dissertations and ThesesDissertations and Theses2018Some results on a class of functional op Some results on a class of functional optimization problemstional optimization PROBLEMSA Thesis PresentedbyDavid Bushing Dewhurst.toThe Faculty of the Graduate College ofThe University of VermontIn Partial Fulfillment of the Requirements for t he Degree of Master of Science Specializing in MathematicsMay, 2018Defense Date: March 23rd. 2018 Dissertation Exam Some results on a class of functional optimization problemsination Committee:Chris Danforth. Ph.D.. AdvisorBill Gilhson, Ph.D.. (’hairperson Peter Dodds. Ph.D. Brian Tivnan. Ph.D. Cynthia .1. Forehand. Ph.D.,Some results on a class of functional optimization problems
Dean of Graduate CollegeAbstractWe first describe a general class of optimization problems that describe many natu ral. economic, ami statistical phenUniversity of VermontScholarWorks (a) UVMGraduate College Dissertations and ThesesDissertations and Theses2018Some results on a class of functional op Some results on a class of functional optimization problemstical physics, facility allocation, and machine learning. A dynamic description and statement of a partial inverse problem follow. When attempting to optimize the state of a system governed by the generalized equipartitioning princi pie, it is vital to understand the nature of the governing probabil Some results on a class of functional optimization problemsity distribution. We show that optimiziation for the incorrect prol>ability distribution can have catas trophic results, e.g., infinite expected cost,Some results on a class of functional optimization problems
and describe a method for continuous Bayesian update of the posterior predictive distribution when it is stationary. We also introduce and prove convUniversity of VermontScholarWorks (a) UVMGraduate College Dissertations and ThesesDissertations and Theses2018Some results on a class of functional op Some results on a class of functional optimization problems extend t he theory to the case of net works, in which an event probability density is defined over nodes and edges ami a system resource is to be partitioning among t he nodes ami edges as well. We close by giving an example of the theory’s application by considering a model of risk propagation on Some results on a class of functional optimization problemsa power grid.in memory ofDavid Conrad Dewhurst (1918-2005)Eloise Linscott Dewhurst (1922-1999)Margaret Jones Hewins (1923-2004).4 formless chunk of stSome results on a class of functional optimization problems
one, gigantic, eroded by time and water, though a hand, a wrist. part, of a forearm could still be made out with total clarity.-R. BolanoiiUniversity of VermontScholarWorks (a) UVMGraduate College Dissertations and ThesesDissertations and Theses2018Some results on a class of functional opUniversity of VermontScholarWorks (a) UVMGraduate College Dissertations and ThesesDissertations and Theses2018Some results on a class of functional opGọi ngay
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