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johnswentworth comments on The Power of Noise - Less Wrong
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Exactly! This is a math problem! And it becomes a very complicated math problem very quickly as the prior information gets interesting.
There's nothing magical about an AI; it can't figure out anything a human couldn't figure out in principle. The difference is the "superintelligence" bit: a superintelligent AI could efficiently use much more complicated prior information for experiment design.
I don't understand the improvement you think is possible here. In a lot of cases, the math isn't the problem, the theory is known. The difficulty is usually finding a large enough sample size,etc.