So AIXI is just old stochastic optimal control (decision theory, controlled Markov processes, R. Bellman's work, etc.) plus a way from Solomonoff to make extrap

So AIXI is just old stochastic optimal control (decision theory, controlled Markov processes, R. Bellman's work, etc.) plus a way from Solomonoff to make extrapolations. Okay. For practice, there have been related ideas from D. Bertsekas and R. Rockafellar. For actual computing, the problem remains the curse of dimensionality: This curse is so bad that, for a brute force approach, which is what AIXI is, or really nearly anything general in stochastic optimal control on big problems, a few more decades of Moore's law still won't scratch the surface.