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Expectation Propagation on the Maximum of Correlated Normal Variables

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons84387

Hennig,  P
Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society;

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Zitation

Hennig, P.(2009). Expectation Propagation on the Maximum of Correlated Normal Variables.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-0013-C401-5
Zusammenfassung
Many inference problems involving questions of optimality ask for the maximum or the minimum of a finite set of unknown quantities. This technical report derives the first two posterior moments of the maximum of two correlated Gaussian variables and the first two posterior moments of the two generating variables (corresponding to Gaussian approximations minimizing relative entropy). It is shown how this can be used to build a heuristic approximation to the maximum relationship over a finite set of Gaussian variables, allowing approximate inference by Expectation Propagation on such quantities.