Legg's 2006 "Is There an Elegant Universal Theory of Prediction?" may be relevant.
(The answer, BTW, is 'no'; seems to be in the usual Godelian limit vein of thought: "In this paper, it is shown that although highly powerful algorithms exist, they are necessarily highly complex.")
The paper seems not very quantative. It is not obvious from it whether a human needs a thousand bits, a million bits, a trillion bits - or whatever.
The most simple, able to self-improve "seed" for a superintelligence must be how complex?
Give your (wild) estimation or a pure guess in the terms of bits.
Do you reckon it is 1000 bits enough? At least 1000000 is required? More than 10^20 bits?
I wonder what your approximate numbers are.
Thank you!