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On aggregation for heavy-tailed classes

Mendelson, Shahar

Description

We introduce an alternative to the notion of ‘fast rate’ in Learning Theory, which coincides with the optimal error rate when the given class happens to be convex and regular in some sense. While it is well known that such a rate cannot always be attained by a learning procedure (i.e., a procedure that selects a function in the given class), we introduce an aggregation procedure that attains that rate under rather minimal assumptions—for example, that the Lq and L2 norms are equivalent on the...[Show more]

CollectionsANU Research Publications
Date published: 2017-08
Type: Journal article
URI: http://hdl.handle.net/1885/160886
Source: Probability Theory and Related Fields
DOI: 10.1007/s00440-016-0720-6

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