MrMind comments on Versions of AIXI can be arbitrarily stupid - Less Wrong

15 Post author: Stuart_Armstrong 10 August 2015 01:23PM

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Comment author: MrMind 12 August 2015 10:09:58AM 1 point [-]

NFL works with algorithms operating on finite problems. With algorithms operating on unbounded problems, you can benefit from Blum's speedup theorem: for every algorithm and every computable measure of performance, there's a second algorithm performing better than the first on almost all inputs.

I suspect here's happening something similar: AIXI is finitely bias-able, and there are environments that can exploit that to arbitrarily constrain the agent's behaviour. If the analogy holds, there's then a class of environments for which AIXI, however finitely biased, is still optimally intelligent.