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The Cartographer
On the Computability of Solomonoff Induction and Knowledge-Seeking
July 15, 2015 Β· Declared Dead Β· π International Conference on Algorithmic Learning Theory
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Authors
Jan Leike, Marcus Hutter
arXiv ID
1507.04124
Category
cs.AI: Artificial Intelligence
Cross-listed
cs.LG
Citations
12
Venue
International Conference on Algorithmic Learning Theory
Last Checked
4 months ago
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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