I don’t understand. I thought the point of Solomonoff induction is that its within an additive constant of being optimal, where the constant depends on the Kolmogorov complexity of the sequence being predicted.
Sure, but an AGI will presumably eventually observe a large portion of the universe (or at least our light cone), so the K-complexity of its input stream is on par with the K-complexity of the universe, right?
It seems doubtful. In multiverse models, the visible universe is peanuts. Also, the universe might be much larger than the visible universe gets before the universal heat death.
This is all far-future stuff. Why should we worry about it? Aren’t there more pressing issues?
I don’t understand. I thought the point of Solomonoff induction is that its within an additive constant of being optimal, where the constant depends on the Kolmogorov complexity of the sequence being predicted.
Are you thinking of applying Solomonoff induction to the whole universe?!?
If so, that would be a very strange thing to try and do.
Normally you apply Solomonoff induction to some kind of sensory input stream (or a preprocessed abstraction from that stream).
Sure, but an AGI will presumably eventually observe a large portion of the universe (or at least our light cone), so the K-complexity of its input stream is on par with the K-complexity of the universe, right?
It seems doubtful. In multiverse models, the visible universe is peanuts. Also, the universe might be much larger than the visible universe gets before the universal heat death.
This is all far-future stuff. Why should we worry about it? Aren’t there more pressing issues?