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Bayesian inference is a method of statistical inference that relies on treating the model parameters as random variables and applying Bayes' theorem to deduce subjective probability statements about the parameters or hypotheses, conditional on the observed dataset.

5 votes
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Are predictions from Bayesian Gaussian Process Regression normally distributed?

GPR does not make any statistical assumptions about the predictors. They don't even have to be numbers! All you need is a prior mean function and a covariance function, which can also be defined fo …
Markus Mottl's user avatar
3 votes

MCMC and approximate inference for Gaussian processes

In practice you might actually run into an extreme case of this problem: if you need to learn a function that you know is noiseless (i.e. no noise term added to the diagonal of the covariance matrix) …
Markus Mottl's user avatar