Discussion
What is a basin of attraction in a search landscape?
Answer: B
Every local optimum has a surrounding region from which hill climbing leads to it, and the relative sizes of those basins determine how likely a random restart is to succeed. A global optimum with a tiny basin is very hard to find by restarts. Sign of the objective, proximity and evaluation history are different notions. Thinking about the sizes of the basins, rather than the number of optima, is what predicts whether restarts will work.
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