Hello,

I am trying to understand if alpha is truly equivalent to WhiteKernel by 
looking at gpr.py.

I can see that that the two are the same when fit() is called, i.e. self.L_ and 
self.alpha_ are the same whether alpha or WhiteKernel is used.

In predict(), however, y_var = self.kernel_.diag(X) produces a different result 
depending on whether alpha or WhiteKernel is used. Is this correct? Indeed, if 
I run 
http://scikit-learn.org/stable/auto_examples/gaussian_process/plot_gpr_noisy.html
 the grey areas are completely different depending on which one I use, although 
the red and black curves are exactly the same.

Thank you in advance!

Regards,
-------------------------------------------------
Dr. Alessio Quaglino
Postdoctoral Researcher
Institute of Computational Science
Università della Svizzera Italiana

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