I’m suspicious of this. My understanding is that true Solomonoff induction is incomputable (because it requires ordering by Kolomogorov complexity.). Thus, you can’t just create an algorithm to predict its next move.
edit: That is, just because it is “defined mathematically” doesn’t mean we can predict its next move.
My Omega uses Solomonoff induction. Its beliefs about the next bit are defined mathematically and depend only on the previous bits.
I’m suspicious of this. My understanding is that true Solomonoff induction is incomputable (because it requires ordering by Kolomogorov complexity.). Thus, you can’t just create an algorithm to predict its next move.
edit: That is, just because it is “defined mathematically” doesn’t mean we can predict its next move.
The input sequence doesn’t have to be computable, it only has to exist.