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arXiv · 1507.04124

On the Computability of Solomonoff Induction and Knowledge-Seeking

Jan Leike·Marcus Hutter
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Abstract

Solomonoff induction is held as a gold standard for learning, but it is known to be incomputable. We quantify its incomputability by placing various flavors of Solomonoff's prior M in the arithmetical hierarchy. We also derive computability bounds for knowledge-seeking agents, and give a limit-computable weakly asymptotically optimal reinforcement learning agent.

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Jan Leike, Marcus Hutter. 2015-07-15. On the Computability of Solomonoff Induction and Knowledge-Seeking. https://arxiv.org/abs/1507.04124

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