Sridhar Mahadevan Autonomous Learning Laboratory, Department of Computer Science, University of Massachusetts, Amherst |
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Wednesday 3 August 2005
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16:00 | |
4th Floor Seminar Room, Alexandra House, 17 Queen Square, London WC1N 3AR |
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LEARNING MULTI-SCALE REPRESENTATIONS
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A hallmark of intelligence is the
ability to learn models representing the world at varying levels of
abstraction. I will summarize recent work of my group on two approaches to
learning multi-scale representations, specifically dynamic abstraction
networks and proto-value functions. Dynamic abstraction networks are
hierarchical graphical models which combine spatial and temporal
abstraction. I will describe approximate inference techniques that exploit
the context-specific independences in the hierarchical structure of the
model to accelerate learning and reasoning. Proto-value functions are
task-independent building blocks of reward-based value functions.
Mathematically, they are Fourier eigenfunctions of the Laplace-Beltrami
operator on a state space manifold. I will describe a multi-level
representation of proto-value functions using diffusion wavelets. Diffusion
wavelets construct a multi-level model of stochastic processes on a manifold
(graph) using layered spectral analysis of reversible random walks. I show
how diffusion wavelets can be used to design a fast policy evaluation
algorithm.
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