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Discrete gradients are always available - you can step in random directions and re-evaluate giving an approximation. If your space is smooth(ish) (and usually it's "smooth enough") then you can use the local approximations.

Yes, sometimes it's not possible, but usually local random search gives enough to use the concept of "gradient" to help. Mostly I find that people doing the optimisation/search don't know enough about the techniques they're using to adapt them and transform their problem to get the best out of things.




Yes, but it still makes no sense to compare GA performance with a gradient-based method on the problem GP is talking about, because an explicit gradient is available.




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