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Old 09-06-2012, 12:41 PM
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yaser yaser is offline
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Join Date: Aug 2009
Location: Pasadena, California, USA
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Default Re: RBF - distance and weights

Quote:
Originally Posted by rainbow View Post
Hi,

I have some questions about lecture 16 slides 3 and 6.

1. In slide 3, the distance is squared when included in the basis function of the hypothesis. This would bring down the significance of far away points even more, but what is the rationale behind the square?

2. In slide 6, you get the impression that each w_i is distributed. Is this correctly understood given each weight is solved for exactly? Or should it be that each \gamma_i is distributed?
1. The rationale behind the square is often the favorable analytic behavior and the relation to Gaussian.

2. If by distributed you mean is affected and affects different points, then yes. In slide 6, there is one \gamma, but it can be different \gamma_n's a s well.
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