Local maximum != global maximum (usually).

I said global minimum, which can easily happen if you end up at local maximum, but you’ll never know unless you randomly search elsewhere (and potentially end up even lower).

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Arainach 18 hours ago | parent [-]

A local maximum by definition cannot be a global minimum. A local maximum has to be higher than things around it, which are part of the global space.

	▲	lazide 17 hours ago \| parent [-]
		Fair point. However, the local maximum doesn’t have to be far from the global minimum. If the global maximum is 10, minimum is 1, you could easily end up in a region with local maximum 2, minimum 1.