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arXiv · 1411.2918

Asymptotics of Continuous Bayes for Non-i.i.d. Sources

Tor Lattimore·Marcus Hutter
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Abstract

Clarke and Barron analysed the relative entropy between an i.i.d. source and a Bayesian mixture over a continuous class containing that source. In this paper a comparable result is obtained when the source is permitted to be both non-stationary and dependent. The main theorem shows that Bayesian methods perform well for both compression and sequence prediction even in this most general setting with only mild technical assumptions.

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Tor Lattimore, Marcus Hutter. 2014-11-12. Asymptotics of Continuous Bayes for Non-i.i.d. Sources. https://arxiv.org/abs/1411.2918

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