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| How to set basis function of a rbfmodel http://forum.alglib.net/viewtopic.php?f=2&t=793 |
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| Author: | heltonbiker [ Tue Mar 12, 2013 1:16 pm ] |
| Post subject: | How to set basis function of a rbfmodel |
I am trying to use AlgLib's RBF models to replace SciPy in an application. In Scipy, I use "Thin-Plate" function ( Code: r**2 * log(r) ), since it gives by far the best-behaved results for my datasets.I have read the Introduction to RBF's article, and it explicitly mentions the Thin-Plate in the following paragraph: Quote: (...) We can get different models with different properties by choosing different basis functions, polynomial terms and smoothing.(...) (...) Thin Plate Splines – f(r)=r 2·ln(r) is used as basis function, nonlinearity penalty, polynomial term All these algorithms, albeit known under different names, are just special cases of same general idea - representation of the model function as linear combination of the radially-symmetric basis functions f(r). So what I need to know is: "How could I set the basis function of a model to be of the Thin Plate form?". I searched around the docs, but couldn't figure it out. Thanks for any help! |
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