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Exponential Families

Published on Feb 25, 200720954 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 Kernels00:01
Outline02:13
Lecture 104:06
The Exponential Family07:25
Example: Binomial Distribution10:12
The Exponential Family12:16
Example: Binomial Distribution12:22
The Exponential Family18:05
Example: Binomial Distribution18:47
Example: Binomial Distribution18:52
Example: Laplace Distribution19:11
Example: Laplace Distribution20:47
Example: Normal Distribution20:55
Example: Normal Distribution24:40
Example: Multinomial Distribution24:45
Example: Multinomial Distribution26:56
Example: Multinomial Distribution27:15
Example: Multinomial Distribution28:11
Example: Poisson Distribution28:13
Example: Laplace Distribution28:40
Example: Poisson Distribution28:51
Example: Poisson Distribution30:35
Example: Beta Distribution30:48
Example: Beta Distribution31:35
Example: Gamma Distribution32:07
Example: Gamma Distribution33:41
Zoology of Exponential Families34:00
Recall36:12
Benefits: Log-partition function is nice36:44
Recall38:07
Benefits: Log-partition function is nice38:12
Application: Laplace distribution41:47
Benefits: Maximum Entropy Estimate43:32
Using it48:34
Application: Discrete Events55:24
Tossing a dice57:32