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Search in specified discrete combinatory space
Is it possible to specify discrete valid values for each dimension of the parameter (of the cost function) such that only those values on the grid are evaluated? A special case would be optimizing a single integer variable. An extension is being able to specify some dimensions of the parameter to be discrete and specify the discrete space over which it takes values. Some problems are discrete in nature, but combinatorics kills any attempt to do greedy grid search due to the curse of dimensionality.
One possible solution would be to put a map inside the evaluated function (logL) s.t. it maps continuous space into discrete one(e.g. p(1)=round(p(1)). But this wastes function evaluations for no good reason, and would be horrible for slow function evaluations.
Yep, that's the solution that I currently recommend as a quick fix, but it's clearly not ideal. I had this request before and I have been thinking of implementing integer variables, but not happening soon, it does require some tinkering.