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Hill climbing is a process of iteratively determining a maximum or minimum of a three (or higher) dimensional shape. You can do this with calculus, but it is sometimes difficult with purely analytic methods, because the partial derivatives might not really give a maximum or minimum, because those points don't necessarily align in all dimensions. Even with an algorithm, it can be difficult, and there are many tricks to solving this. Still, some problems are unsolvable.

Its an interesting problem, because we as human beings, if we can can see the shape, can often see the true maximum or minimum. The trick, and the real art, is in making a computer algorithm do the same thing. Its kind of like asking "how do you write an algorithm to recognize other cars on the road and program a computer to drive a car?"

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14y ago

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