Gaussian Process Basics
author:
David MacKay,
University of Cambridge
Description
How on earth can a plain old Gaussian distribution be useful for sophisticated regression and machine learning tasks?
Categories
Top: Computer Science: Machine LearningTop: Computer Science: Machine Learning: Gaussian Processes
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| Slides | |
| 0:02 | Gaussian Process Basics |
| 0:55 | Nonlinear regression with neural networks |
| 1:24 | References |
| 2:00 | Motivation: Machine learning |
| 3:00 | Can all this be done with a plain old Gaussian distribution? |
| 3:39 | Two-dimensional Gaussian |
| 7:03 | Inference |
| 7:26 | Inference01 |
| 8:32 | Another representation |
| 11:28 | Another representation01 |
| 11:45 | Another representation02 |
| 13:35 | Aha! |
| 17:25 | Gaussian quiz |
| 24:08 | How do we build Gaussian distribution? |
| 25:25 | How the matrix was made |
| 27:32 | Extend to more points |
| 29:47 | A Gaussian process |
| 34:09 | Effect of hyperparameters |
| 37:03 | Inference of hyperparameters |
| 48:01 | Two-dimensional input space |
| 50:09 | Efficient computation (... well, modestly efficient) |
| 52:45 | Key computational requirements |
| 54:15 | Choosing covariance functions |
| 55:51 | \"Squared exponential\" |
| 56:10 | Emulate infinite neural netwoks |
| 56:29 | GPs for classification |
| 58:19 | Connection to standard neural networks |
| 60:17 | Gaussian Quiz solutions |
| 60:33 | Gaussian processes compared with state-of-the-art nonlinear parametric models |
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