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Sep 13, 2014 at 19:38 comment added r_31415 I just proposed a very simple explanation of why a conditional distribution is needed. If you notice a mistake, please let me know.
Sep 13, 2014 at 19:01 comment added r_31415 Thank you for your answer. $\theta$ is an infinite-dimensional object? I have been using $\theta$ as parameters. Are yuu sure about that? By the way, I'm not necessarily using Gaussian processes. I know that the derivation is the same, but here the dimensions are finite, although I don't think there is a strong distinction when implementing Gaussian processes in practice.
Sep 13, 2014 at 10:39 history answered Tom Minka CC BY-SA 3.0