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BasisFunctionExpansions.jl : Basis Function Expansions for Julia

Bagge Carlson, Fredrik LU (2017)
Abstract
A Julia toolbox for approximation of functions using basis function expansions (BFEs).

BFEs are useful when one wants to estimate an arbitrary/unknown/complicated functional relationship between (in the simple case) two variables, y and v. In simple linear regression, we might consider a functional relationship y = ϕ(v) = αv + β, with parameters α and β. However, if the function ϕ has an arbitrary nonlinear form, it might be hard to come up with suitable basis functions to use for linear regression. This package provides a set of convenient methods to estimate ϕ(v) as a linear combination of basis functions, such as radial basis functions, for situations where v has a single or multiple dimensions.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Non-textual form
publication status
published
subject
publisher
github
language
English
LU publication?
yes
id
77bebd0e-31b6-478f-99cb-6816a79aac52
alternative location
https://github.com/baggepinnen/BasisFunctionExpansions.jl
date added to LUP
2017-12-07 13:41:59
date last changed
2017-12-11 11:19:46
@misc{77bebd0e-31b6-478f-99cb-6816a79aac52,
  abstract     = {A Julia toolbox for approximation of functions using basis function expansions (BFEs).<br/><br/>BFEs are useful when one wants to estimate an arbitrary/unknown/complicated functional relationship between (in the simple case) two variables, y and v. In simple linear regression, we might consider a functional relationship y = ϕ(v) = αv + β, with parameters α and β. However, if the function ϕ has an arbitrary nonlinear form, it might be hard to come up with suitable basis functions to use for linear regression. This package provides a set of convenient methods to estimate ϕ(v) as a linear combination of basis functions, such as radial basis functions, for situations where v has a single or multiple dimensions.},
  author       = {Bagge Carlson, Fredrik},
  language     = {eng},
  publisher    = {github},
  title        = {BasisFunctionExpansions.jl : Basis Function Expansions for Julia},
  year         = {2017},
}