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TimFreeman comments on The Problem with AIXI - Less Wrong
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Are there toy models of, say, a very simple universe and an AIXItl-type reasoner in it? How complex does the universe have to be to support AIXI? Game-of-life-complex? Chess-complex? D&D complex? How would one tell?
If you give up on the AIXI agent exploring the entire set of possible hypotheses and instead have it explore a small fixed list, the toy models can be very small. Here is a unit test for something more involved than AIXI that's feasible because of the small hypothesis list.