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Memory limited inductive inference machines

Rumacrsinscaron Freivalds1 and Carl H. Smith2

(1)  Institute of Mathematics and Computer Science, University of Latvia, Raina bulvamacrris 29, 226250 Riga, Latvia
(2)  Department of Computer Science and Institute for Advanced Computer Studies, The University of Maryland, 20742 College Park, MD, USA
Abstract
The traditional model of learning in the limit is restricted so as to allow the learning machines only a fixed, finite amount of memory to store input and other data. A class of recursive functions is presented that cannot be learned deterministically by any such machine, but can be learned by a memory limited probabilistic leaning machine with probability 1.
Supported in part by NSF Grant CCR-9020079.
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