BasisFunctionExpansions.jl : Basis Function Expansions for Julia
(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:
https://lup.lub.lu.se/record/77bebd0e-31b6-478f-99cb-6816a79aac52
- author
- Bagge Carlson, Fredrik LU
- organization
- publishing date
- 2017
- type
- Non-textual form
- publication status
- published
- subject
- publisher
- github
- project
- SARAFun—Smart Assembly Robot with Advanced FUNctionalities
- 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
- 2018-11-21 21:36:26
@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}}, url = {{https://github.com/baggepinnen/BasisFunctionExpansions.jl}}, year = {{2017}}, }