Hilbert Space Embeddings of Conditional Distributions with Applications to Dynamical Systems

author: Le Song, College of Computing, Georgia Institute of Technology
published: Aug. 26, 2009,   recorded: June 2009,   views: 466
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Description

In this paper, we extend the Hilbert space embedding approach to handle conditional distributions. This leads us to a nonparametric method for modeling dynamical systems, and allows us to update the belief state of a dynamical system by maintaining a conditional embedding. Our method is very general in terms of both the domains and the types of distributions that it can handle, and we demonstrate the effectiveness of our method in various dynamical systems. We expect that Hilbert space embedding of {\em conditional} distributions will have wide applications beyond modeling dynamical systems.

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Comment1 Christine Wu, September 2, 2009 at 9:24 p.m.:

The lecture is well presented.

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