Talk:Radial basis function
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Does this have something to do with basis function? --Abdull 17:08, 21 February 2006 (UTC)
- Yes. Radial basis functions are basis functions of a particular form. They depend on the distance to a center associated with each basis function. Unlike many basis functions, these sets are not complete. Complexica 18:52, 23 February 2006 (UTC)
Contents |
[edit] Overview comments
Hi,
It's one of my first intervention, I hope I won't do anything not aligned with the wikipedia policy.
1) Neural Networks are not always composed of three layers, there could be no hidden layer, one or two, even more for 'exotic cases'.
- I found an answer to this question here, it says "In principle, they could be employed in any sort of model (linear or nonlinear) and any sort of network (single-layer or multi-layer). However, since Broomhead and Lowe's 1988 seminal paper [3], radial basis function networks (RBF networks) have traditionally been associated with radial functions in a single-layer network" Paskari 21:06, 1 December 2006 (UTC)
2) Would it be relevant if one add in the overview that there is a strong relationship between radial basis function and kernels ? Nicogla 14:54, 18 March 2006 (UTC)
- Good idea about the kernels. I am planning an extensive extension of the article. I will add, unless you want to. Perhaps something also should be added about layers. Please feel free to add what you think. Also, it is good to sign your comments with 4 ~. This puts a date stamp and an identifier on your comment. Complexica 20:14, 31 March 2006 (UTC)
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- Ok, thanks for the tips. I will think at something for the NN layers. Nicogla 12:32, 3 April 2006 (UTC)
the overview is really complicated: 'multidimensional space', 'distance criterion with respect to a center.', 'sigmoidal transfer function'... Also 'RBF networks have the advantage of not being locked into local minima as do feedforward networks.', I thought RBF's were feed forward. they are listed as feedforward under the Artificial neural network page Paskari 19:48, 1 December 2006 (UTC)
[edit] Query
I'm not sure how to go about this but I was thinking of contributing something about using radial basis functions to interpolate scattered data samples. The current page is focused on their application in Neural Networks, which is a significant application - but not their only use.
- Perhaps the best place for this is as an example, maybe the first example.Complexica 20:20, 17 August 2006 (UTC)
[edit] wrong focus, inappropriate domain-specific jargon
I'm very familiar with RBFs as basis functions for meshless multivariate interpolation and the contents of this web page are totally unfamiliar. This page presents their application to neural networks as what RBFs are all about and also uses jargon specific to that application ("streams of data", "learning") to describe general properties, which is very confusing and misleading. There is almost nothing here which is from Holger Wendland's "Scattered Data Approximation", which is probably the most authoritative book on RBFs.
- Please feel free to add what you think is missing. That is what the wiki is about, isn't it? Complexica 17:29, 14 September 2006 (UTC)
- I agree in that the use of the terms 'streams of data' and 'complete data sets' is misleading', I think the introduction to any page should be as basic as possible, such that all readers, not just scientists and mathematicians, should understand. Paskari 19:43, 1 December 2006 (UTC)
[edit] Intro and Overview
I admire the fact that you have spent such a long time organizing all the formulas, but you have to simplify at least the intro and the overview, otherwise no one will be able to follow Paskari 19:50, 1 December 2006 (UTC)
[edit] Split
I suggest that the page is split into two: radial basis function would describe the actual functions and radial basis network would describe the type of neural network which has radial basis activation functions. This would clarify the page and take care of the neural network bias mentioned in the comments above. Any comments? AnAj 15:12, 18 February 2007 (UTC)
- I made the split. The new page is radial basis function network. AnAj 19:23, 22 February 2007 (UTC)
- I wrote the "wrong focus, inappropriate domain-specific jargon" comment. I think that your changes are a large step in the right direction. Thanks for making these changes. - Andrew
