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On the Borders of Statistics and Computer Science

Published on Feb 25, 200714028 Views

Machine learning in computer science and prediction and classification in statistics are essentially equivalent fields. I will try to illustrate the relation between theory and practice in this huge a

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Chapter list

On the Borders of Statistic and Computer Science 00:00
Outline00:35
Outline (continue)02:04
Two Books03:09
The Prediction problem04:30
The Prediction problem (cont.)05:52
Two Criteria: (statistics)07:41
Regular parametric model09:25
Non parametric models11:02
Two New Criteria (and Theorems)13:35
Two New Criteria (and Theorems)14:31
Two New Criteria (and Theorems)16:54
Some Empirical Evidence17:39
Some explanations19:57
Consequence of GS21:49
Example: classification 2 classes24:21
Example: classification 2 classes25:47
Manifold Projection Method27:45
Dimension Estimation Methods29:21
Dimension Estimation Methods33:14
A Maximum Likelihood Estimator34:10
A Maximum Likelihood Estimator36:15
A Little Theory39:03
The Curse41:27
Comparing Methods43:14
Comparing Methods43:51
Image Data Examples43:56
Dimension of Selected Data Sets44:24
A More Sophisticated Scenario45:22
Standardization46:40
Standardization46:46
Prediction47:52