On Iterative Algorithms with an Information Geometry Background
(invited lecture for ALT 2008)
Author: Imre Csiszár
Affiliations: Alfréd Rényi Institute of Mathematics,
Hungarian Academy of Sciences, Budapest, Hungary
Abstract.
Several extremum problems in Statistics and Artificial Intelligence, e.g.,
likelihood maximization, are often solved by iterative algorithms such as
iterative scaling or the EM algorithm, admitting an intuitive “geometric”
interpretatation as iterated projections in the sense of Kullback information
divergence. Such iterative algorithms, including those using Bregman rather
than Kullback divergences, will be surveyed. It will be hinted to that the
celebrated belief propagation (or sum-product) algorithm may also admit a
similar interpretation.
©Copyright 2008 Author
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