If one runs the noisy example in the basic Gaussian Process regression
example code [1] _before_ the non-noisy example then the noisy example
prediction is just a straight line.  There seems to be something oddly
statefull about the GaussianProcess class.

Any thoughts on why?

Cheers,

Will

[1] 
http://scikit-learn.org/0.12/auto_examples/gaussian_process/plot_gp_regression.html

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