been thinking about math again and here's a math hot take for you: the principle of maximum entropy is false
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Replying to @QiaochuYuan
I'm not clear on what it would mean for the principle of maximum entropy to have a truth value.
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Replying to @DRMacIver @QiaochuYuan
Like I can see what it would mean for it to be a good idea or a bad idea, but it's more of a model selection heuristic than a statement of fact.
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Replying to @DRMacIver
hot takes are supposed to be punchy and overstated
i can clarify in a much more sober blog post, need to get my thoughts a little more in order first
the v. short version is that the fundamental feature of entropy is that it ~ the log of the multinomial distribution1 reply 0 retweets 0 likes
you can see an early version of my current take in this blog post but i didn’t really understand the significance of it at the time:https://qchu.wordpress.com/2016/03/06/maximum-entropy-from-bayes-theorem/ …
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