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Exponential Families in Feature Space
Published on Feb 25, 20077665 Views
In this introductory course we will discuss how log linear models can be extended to feature space. These log linear models have been studied by statisticians for a long time under the name of exponen
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Chapter list
Exponential Families and Kernels00:03
Outline01:08
Lecture 103:53
The Exponential Family04:43
Example: Binomial Distribution09:00
Example: Binomial Distribution15:21
Example: Laplace Distribution15:34
Example: Binomial Distribution17:23
Example: Laplace Distribution17:38
Example: Normal Distribution17:48
Example: Normal Distribution21:33
Example: Multinomial Distribution21:42
Example: Multinomial Distribution22:55
Example: Poisson Distribution23:55
Example: Poisson Distribution28:54
Example: Beta Distribution29:05
Example: Beta Distribution34:25
Example: Gamma Distribution34:35
Example: Gamma Distribution35:05
Zoology of Exponential Families35:48
Recall36:37
Benefits: Log-partition function is nice37:20
Zoology of Exponential Families38:56
Benefits: Log-partition function is nice39:30
Zoology of Exponential Families41:30
Benefits: Log-partition function is nice43:40
Benefits: Simple Estimation48:07
Zoology of Exponential Families50:42
Benefits: Simple Estimation52:18
Application: Laplace distribution54:23
Benefits: Maximum Entropy Estimate55:45
Using it58:32