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Jul 29, 2014 at 17:51 vote accept PythonNut
Jul 27, 2014 at 20:37 comment added D.W. @PythonNut, sure, you could add stochastic sampling as well if you wish. For instance, you could select a fraction $p$ of the functions in $F$, and only evaluate those functions (ignoring the rest). This could be made reproducible ("deterministic") by using a hash function from $F$ to $\{0,1\}$ that has a probability $p$ of being $1$ for any particular $f_i$.
Jul 26, 2014 at 0:33 comment added PythonNut The only problem is that the running time of $\Phi$ could be very long (probably hundreds of hours, even at the start). Ultimately, I want $F$ to be as close to infinite in size as I can get. So there needs to be some element of stochastic sampling of $F$ as well.
Jul 25, 2014 at 20:10 history answered D.W. CC BY-SA 3.0