We in universal AI already have a name for the generalization of AIXI that may use a different history distribution: AI\mu. Since you intend \mu to be a distribution over hypotheses, NOT the true environment as Marcus Hutter usually uses \mu, I would also preferably replace \mu → \nu. This may seem pedantic but it’s kind of triggering to use AIXI to refer to AI\nu, because the “XI” part of “AIXI” is (sometimes) intended to translate as \xi, Hutter’s chronological version of the universal distribution.
Great post!
We in universal AI already have a name for the generalization of AIXI that may use a different history distribution: AI\mu. Since you intend \mu to be a distribution over hypotheses, NOT the true environment as Marcus Hutter usually uses \mu, I would also preferably replace \mu → \nu. This may seem pedantic but it’s kind of triggering to use AIXI to refer to AI\nu, because the “XI” part of “AIXI” is (sometimes) intended to translate as \xi, Hutter’s chronological version of the universal distribution.