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EPSRC Winter School in Mathematics for Data Modelling

Learning with Gaussian Processes

author: Carl Edward Rasmussen, Max Planck Institute for Biological Cybernetics

Description

This presentation describes the basic foundations and advanced theory of Gaussian processes.

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Slides
0:00 Learning with Gaussian Processes
4:07 Supervised Learning: The Prediction Problem
5:16 Outline
5:46 The Gaussian Distribution
7:41 Conditionals and Marginals of a Gaussian
9:30 What is a Gaussian Process?
12:52 The Marginalization Property
15:28 Random Functions from a Gaussian Process
19:32 Some Values of the Random Function
20:30 Random Functions from a Gaussian Process
21:05 Some Values of the Random Function
21:22 Sequential Generation
29:23 - Questions
34:14 Maximum Likelihood, Parametric Model
39:34 Bayesian Inference, Parametric Model
43:10 Bayesian Inference, Parametric Model, cont.
46:48 Non-Parametric Gaussian Process Models
52:31 Prior and Posterior

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Reviews and comments:

Comment1 Memming, February 16, 2008 at 3:25 p.m.:

This is an awesome lecture. I love it. I learned a lot about probability distributions over functions.


Comment2 Me, October 9, 2008 at 1:32 p.m.:

Excellent lecture indeed! Highly recommended for those who want to learn about gaussian process. Well, I think I will create an account here to put yet another star for this video lecture. Thanks, Prof. Rasmussen!


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