Recent Results in Universal and Non-Universal Induction

Author Jan Poland



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Jan Poland

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Jan Poland. Recent Results in Universal and Non-Universal Induction. In Kolmogorov Complexity and Applications. Dagstuhl Seminar Proceedings, Volume 6051, pp. 1-11, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006) https://doi.org/10.4230/DagSemProc.06051.12

Abstract

We present and relate recent results in prediction based on
countable classes of either probability (semi-)distributions
or base predictors. Learning by Bayes, MDL, and stochastic 
model selection will be considered as instances of the first
category. In particular, we will show how analog assertions
to Solomonoff's universal induction result can be obtained for
MDL and stochastic model selection. The second category is 
based on prediction with expert advice. We will present a
recent construction to define a universal learner in this
framework.

Subject Classification

Keywords
  • Bayesian learning
  • MDL
  • stochastic model selection
  • prediction with expert advice
  • universal learning
  • Solomonoff induction

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