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On radial basis functions
Instantanés de recherche mathématique à Oberwolfach
On radial basis functions
Many sciences and other areas of research and applications from engineering to economics require the approximation of functions that depend on many variables. This can be for a variety of reasons. Sometimes we have a discrete set of data points and we want to find an approximating function that completes this data; another possibility is that precise functions are either not known or it would take too long to compute them explicitly. In this snapshot we want to introduce a particular method of approximation which uses functions called radial basis functions. This method is particularly useful when approximating functions that depend on very many variables. We describe the basic approach to approximation with radial basis functions, including their computation, give several examples of such functions and show some applications.
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Sujet mathématique
Calcul numérique et calcul scientifique
Liens avec d'autres domaines
Informatique
Ingénierie et technologie
Physique
Licence
DOI
10.14760/SNAP-2019-002-EN
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snapshots: overview
Sujet mathématique
Algèbre et théorie des nombres
Analyse
Pédagogie et éducation
Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie
Calcul numérique et calcul scientifique
Théorie des probabilités et statistique
Liens avec d'autres domaines
Chimie et sciences de la terre
Informatique
Ingénierie et technologie
Finances
Humanités et sciences sociales
Sciences de la vie
Physique
Pensées mathématiques