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The Computer Journal 1999 42(4):318-322; doi:10.1093/comjnl/42.4.318
© 1999 by British Computer Society
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Complexity Approximation Principle

Vladimir VovkA1 and Alexander GammermanA1

A1 Computer Learning Research Centre and Department of Computer Science, Royal Holloway, University of London, Egham, Surrey TW20 0EX, UK Email: alex@dcs.rhbnc.ac.uk

We propose a new inductive principle, which we call the complexity approximation principle (CAP). This principle is a natural generalization of Rissanen's minimum description length (MDL) principle and Wallace's minimum message length (MML) principle and is based on the notion of predictive complexity, a recent generalization of Kolmogorov complexity. Like the MDL principle, CAP can be regarded as an implementation of Occam's razor.


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