dc.creatorAndreani, R
dc.creatorMartinez, JM
dc.creatorMartinez, L
dc.creatorYano, FS
dc.date2009
dc.dateJAN
dc.date2014-11-16T14:17:08Z
dc.date2015-11-26T16:23:14Z
dc.date2014-11-16T14:17:08Z
dc.date2015-11-26T16:23:14Z
dc.date.accessioned2018-03-28T23:04:31Z
dc.date.available2018-03-28T23:04:31Z
dc.identifierJournal Of Global Optimization. Springer, v. 43, n. 1, n. 1, n. 22, 2009.
dc.identifier0925-5001
dc.identifierWOS:000261411400001
dc.identifier10.1007/s10898-008-9280-3
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/52740
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/52740
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/52740
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1268225
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionGiven r real functions F (1)(x),...,F (r) (x) and an integer p between 1 and r, the Low Order-Value Optimization problem (LOVO) consists of minimizing the sum of the functions that take the p smaller values. If (y (1),...,y (r) ) is a vector of data and T(x, t (i) ) is the predicted value of the observation i with the parameters , it is natural to define F (i) (x) = (T(x, t (i) ) - y (i) )2 (the quadratic error in observation i under the parameters x). When p = r this LOVO problem coincides with the classical nonlinear least-squares problem. However, the interesting situation is when p is smaller than r. In that case, the solution of LOVO allows one to discard the influence of an estimated number of outliers. Thus, the LOVO problem is an interesting tool for robust estimation of parameters of nonlinear models. When p << r the LOVO problem may be used to find hidden structures in data sets. One of the most successful applications includes the Protein Alignment problem. Fully documented algorithms for this application are available at www.ime.unicamp.br/martinez/lovoalign. In this paper optimality conditions are discussed, algorithms for solving the LOVO problem are introduced and convergence theorems are proved. Finally, numerical experiments are presented.
dc.description43
dc.description1
dc.description1
dc.description22
dc.descriptionPRONEX-Optimization 76.79.1008-00
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFAPESP [06/53768-0, 05/56773-1, 02-14203-6]
dc.descriptionCNPq [26/171.164/2003-APQ1]
dc.languageen
dc.publisherSpringer
dc.publisherDordrecht
dc.publisherHolanda
dc.relationJournal Of Global Optimization
dc.relationJ. Glob. Optim.
dc.rightsfechado
dc.rightshttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dc.sourceWeb of Science
dc.subjectOrder-Value Optimization
dc.subjectAlgorithms
dc.subjectConvergence
dc.subjectRobust estimation of parameters
dc.subjectHidden patterns
dc.subjectProtein Structural Alignment
dc.subjectAugmented Lagrangian-methods
dc.subjectLinear-dependence Condition
dc.subjectConstrained Optimization
dc.subjectQualification
dc.subjectAlgorithms
dc.subjectOptimality
dc.titleLow Order-Value Optimization and applications
dc.typeArtículos de revistas


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