See @kenneth0stanley and @samim's work on "novelty search"?
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link? Never heard of it
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Define "interestingness" as the payoff as if the definition of "payoff" were arbitrarily defined to begin with.
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are you picturing a definition of interestingness different from unpredictability?
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Each arm controls a separate probability payoff distribution. Flat,gaussian, heavy tailed. Order and strength of pulls control distribution.
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. How would you design that?