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MDL convergence speed for Bernoulli sequences

Poland, Jan; Hutter, Marcus

Description

The Minimum Description Length principle for online sequence estimation/prediction in a proper learning setup is studied. If the underlying model class is discrete, then the total expected square loss is a particularly interesting performance measure: (a) this quantity is finitely bounded, implying convergence with probability one, and (b) it additionally specifies the convergence speed. For MDL, in general one can only have loss bounds which are finite but exponentially larger than those for...[Show more]

CollectionsANU Research Publications
Date published: 2006
Type: Journal article
URI: http://hdl.handle.net/1885/33954
Source: Statistics and Computing
DOI: 10.1007/s11222-006-6746-3

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