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- Trust_region abstract "Trust region is a term used in mathematical optimization to denote the subset of the region of the objective function that is approximated using a model function (often a quadratic). If an adequate model of the objective function is found within the trust region then the region is expanded; conversely, if the approximation is poor then the region is contracted. Trust region methods are also known as restricted step methods.The fit is evaluated by comparing the ratio of expected improvement from the model approximation with the actual improvement observed in the objective function. Simple thresholding of the ratio is used as the criterion for expansion and contraction—a model function is \"trusted\" only in the region where it provides a reasonable approximation.Trust region methods are in some sense dual to line search methods: trust region methods first choose a step size (the size of the trust region) and then a step direction while line search methods first choose a step direction and then a step size.The earliest use of the term seems to be by Sorensen (1982).".
- Trust_region wikiPageExternalLink books?id=5kNC4fqssYQC.
- Trust_region wikiPageExternalLink summary?doi=10.1.1.45.9964.
- Trust_region wikiPageExternalLink 0719026.
- Trust_region wikiPageExternalLink 0724076.
- Trust_region wikiPageExternalLink 10.1007%2Fs10107-015-0893-2.
- Trust_region wikiPageExternalLink optimizationIntro.html.
- Trust_region wikiPageID "2975766".
- Trust_region wikiPageLength "4230".
- Trust_region wikiPageOutDegree "9".
- Trust_region wikiPageRevisionID "684899212".
- Trust_region wikiPageWikiLink Category:Mathematical_optimization.
- Trust_region wikiPageWikiLink Category:Optimization_algorithms_and_methods.
- Trust_region wikiPageWikiLink Levenberg–Marquardt_algorithm.
- Trust_region wikiPageWikiLink Line_search.
- Trust_region wikiPageWikiLink Loss_function.
- Trust_region wikiPageWikiLink Mathematical_optimization.
- Trust_region wikiPageWikiLink Quadratic_form.
- Trust_region wikiPageWikiLink Quadratic_function.
- Trust_region wikiPageWikiLink Quadric.
- Trust_region wikiPageWikiLinkText "Trust region".
- Trust_region wikiPageWikiLinkText "trust region".
- Trust_region wikiPageUsesTemplate Template:Optimization_algorithms.
- Trust_region subject Category:Mathematical_optimization.
- Trust_region subject Category:Optimization_algorithms_and_methods.
- Trust_region hypernym Term.
- Trust_region type Area.
- Trust_region type Algorithm.
- Trust_region type Area.
- Trust_region comment "Trust region is a term used in mathematical optimization to denote the subset of the region of the objective function that is approximated using a model function (often a quadratic). If an adequate model of the objective function is found within the trust region then the region is expanded; conversely, if the approximation is poor then the region is contracted.".
- Trust_region label "Trust region".
- Trust_region sameAs Q1535924.
- Trust_region sameAs Trust-Region-Verfahren.
- Trust_region sameAs Algorithme_à_régions_de_confiance.
- Trust_region sameAs 信頼領域.
- Trust_region sameAs m.08h53z.
- Trust_region sameAs Metoda_omejenega_koraka.
- Trust_region sameAs Q1535924.
- Trust_region sameAs 置信域方法.
- Trust_region wasDerivedFrom Trust_region?oldid=684899212.
- Trust_region isPrimaryTopicOf Trust_region.