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On Martin-Löf convergence of Solomonoff’s mixture

Date

Authors

Lattimore, Tor

Hutter, Marcus

Publisher

Springer Verlag

Abstract

We study the convergence of Solomonoff’s universal mixture on individual Martin-Löf random sequences. A new result is presented extending the work of Hutter and Muchnik (2004) by showing that there does not exist a universal mixture that converges on all Martin-Löf random sequences.

Keywords

Solomonoff induction, Kolmogorov complexity, theory of computation

URI

http://hdl.handle.net/1885/14720

Collections

ANU Research Publications

Type

Conference paper

Book Title

Theory and Applications of Models of Computation: 10th International Conference, TAMC 2013, Hong Kong, China, May 20-22, 2013. Proceedings

DOI

10.1007/978-3-642-38236-9_20

Downloads

File

Description

Lattimore and Hutter On Martin Lof Convergence 2013.pdf (298.72 KB)