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We would like to thank Peter Dayan, Manfred Opper, Nic Schraudolph, Rich Zemel, and several anonymous reviewers for helpful discussions and for comments on a draft of this paper. This work was supported by DFG grant SCHM 942/3-1 and DFG grant BR 609/10-2 from ``Deutsche Forschungsgemeinschaft''. Schmidhuber would also like to acknowledge support from SNF grant 21-43'417.95 ``predictability minimization''.

Juergen Schmidhuber 2003-02-13

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