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> I was hoping for something more like "the problem is specified such that invalid solutions aren't even representable, so only acceptable solutions are considered."

It my (roughly) work this way. For example, when you do hyperparameter tuning, you specify upper and lower bounds (so that "invalid solutions aren't even representable").

The problem is, you often have no idea what will work and what not, and e.g. your HPO algorithm might hit the bounds, suggegsting that it might make sense to extend them before the next run.



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