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royf comments on An overall schema for the friendly AI problems: self-referential convergence criteria - Less Wrong
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It seems that your research is coming around to some concepts that are at the basis of mine. Namely, that noise in an optimization process is a constraint on the process, and that the resulting constrained optimization process avoids the nasty properties you describe.
Feel free to contact me if you'd like to discuss this further.
I fear I will lack time for many months :-( Send me another message if you want to talk later.