Exponential Families in Feature Space

author: Alex Smola, Amazon
published: Feb. 25, 2007,   recorded: January 2005,   views: 7652


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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 exponential family of probability distributions. We provide a unified framework which can be used to view many existing kernel algorithms as special cases. Our framework also allows us to derive many natural generalizations of existing algorithms. In particular, we show how we can recover Gaussian Processes, Support Vector Machines, multi-class discrimination, and sequence annotation (via Conditional Random Fields). We also show to deal with missing data and perform MAP estimation on Conditional Random Fields in feature space. The requisite background for the course will be covered briskly in the first two lectures. Knowledge of linear algebra and familiarity with functional analysis will be helpful.

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Comment1 Jajati, January 20, 2008 at 7:29 p.m.:

Dear sir,
I am unable to play all video files. I am using my institute(Indian Institute of Technology Madras,India) proxy
for internet but in the error details it shows that "The proxy server is denying access. The username and/or password might be incorrect." So how to access the video files?

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