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Gaussian processes - Stanford University

Gaussian processesChuong B. Do (updated by Honglak Lee)November 22, 2008 Many of the classical machine learning algorithms that we talked about during the firsthalf of this course fit the following pattern: given a training set of examples sampledfrom some unknown distribution,1. solve a convex optimization problem in order to identify the single best fit model forthe data, and2. use this estimated model to make best guess predictionsfor future test input these notes, we will talk about a different flavor of learning algorithms, known asBayesian methods . Unlike classical learning algorithm, Bayesian algorithms do not at-tempt to identify best-fit models of the data (or similarly, make best guess predictionsfor new test inputs).

The material covered in these notes draws heavily on many different topics that we discussed previously in class (namely, the probabilistic interpretation oflinear regression 1 , Bayesian methods 2 , kernels 3 , andproperties ofmultivariate Gaussians 4 ).

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