On radial basis functions

Oberwolfach'tan

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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Matematiksel konular

Nümerik ve Hesap Analizi

Diğer alanlarla ilişkiler

Bilgisayar Bilimeri
Mühendislik ve Teknoloji
Fizik

Yazar(lar)

Martin Buhmann, Janin Jäger

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2019-002-EN

PDF indir

snapshot-2019-002.pdf

PDF

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Matematiksel konular

Cebir ve Sayılar Kuramı
Analiz
Eğitim ve Eğitim Bilimi
Ayrık Matematik ve Matematiğin Temelleri
Geometri ve Topoloji
Nümerik ve Hesap Analizi
Olasılık Kuramı ve İstatistik

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