Vaniver comments on Anticipating critical transitions - Less Wrong
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The impression I got was that this is the approach that they would take with infinite computing power, but that it took a significant amount of time to determine if any particular combination of input variables would lead to a failure chance greater than one in N, meaning normal integration won't work. There are a couple of different ways to attack that problem, each making different tradeoffs.
If each data point is prohibitively expensive, then the only thing I can suggest is limiting the permissible input distributions. If that's not possible, I think the historical path is to continue to store the waste in pools at each power plant while future research and politics is done on the problem.