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Bayesian Linear Regression - CEDAR

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Machine Learning ! ! ! ! !SrihariParametric <strong>Regression</strong> vs GP <strong>Regression</strong>!• In parametric regression we have several samples from whichwe learn the parameters!• In Gaussian processes we we view the samples as one hugeinput that has a Gaussian distribution !– with a mean and a covariance matrix!• A Gaussian process is a stochastic process X t , t ∈ T, forwhich any finite linear combination of samples has a jointGaussian Distribution!– any linear functional applied to the sample function X t will give a normallydistributed result. Notation-wise, one can write X ~ GP(m,K), meaningthe random function X is distributed as a GP with mean function m and35 covariance function K.!

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