2000
DOI: 10.1162/1532443041827952
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10.1162/1532443041827952

Abstract: Various optimality properties of universal sequence predictors based on Bayes-mixtures in general, and Solomonoff's prediction scheme in particular, will be studied. The probability of observing x t at time t, given past observations x 1 ...x t−1 can be computed with the chain rule if the true generating distribution µ of the sequences x 1 x 2 x 3 ... is known. If µ is unknown, but known to belong to a countable or continuous class M one can base ones prediction on the Bayes-mixture ξ defined as a w ν -weighte… Show more

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Cited by 7 publications
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