Gaussian Processes

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

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*Slides*
0:00	Solving Challenging Non-linear Regression Problems by Manipulating a Gaussian Distribution
4:38	The Prediction Problem (1)
6:18	The Prediction Problem (2)
6:34	The Prediction Problem (3)
7:26	The Prediction Problem (4)
8:50	Maximum likelihood, parametric model
10:42	Bayesian Inference, parametric model
11:02	Bayesian Inference, parametric model, cont.
13:58	Bayesian Inference, parametric model
14:22	The Gaussian Distribution
15:22	Conditionals and Marginals of a Gaussian
16:50	Conditionals and Marginals of a Gaussian
17:14	What is a Gaussian Process?
21:54	The marginalization property
23:38	Random functions from a Gaussian Process
26:58	Some values of the random function
28:10	Random functions from a Gaussian Process
28:50	Joint Generation
32:02	Sequential Generation
37:34	Function drawn at random from a Gaussian Process with Gaussian covariance
40:18	Maximum likelihood, parametric model
40:58	Bayesian Inference, parametric model
41:08	Bayesian Inference, parametric model, cont.
42:38	Non-parametric Gaussian process models
52:54	Prior and Posterior
56:14	Graphical model for Gaussian Process
58:22	Some interpretation
66:02	The marginal likelihood
67:34	Example: Fitting the length scale parameter
75:34	Why, in principle, does Bayesian Inference work? Occam’s Razor
77:10	Example: Fitting the length scale parameter
77:34	The marginal likelihood
79:10	An illustrative analogous example
84:55	Solving Challenging Non-linear Regression Problems by Manipulating a Gaussian Distribution

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