this tweet took me awhile to parse, i thought he meant local minima of utility functions so it's "it's almost always possible to make things worse" but if he means local minima of cost functions then it's "it's almost always possible to make things better"
both true ig 🤔
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it's funny thinking about local minima of utility functions, also known as "rock bottom." i get a quite different feeling depending on whether i describe it as "things are literally as bad as possible" or as "literally any move you make will make things better"
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to me that reads as "it's a lot harder to get completely stuck than you think"
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i interpreted it as, approximately, "you are never the worst in everything"
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If local minima are rare in high-d spaces, wouldn’t local maxima be rare as well?