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jsteinhardt comments on Interesting talk on Bayesians and frequentists - Less Wrong
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This is impossible. See Searching for Bayes-Structure. It may be difficult to find a reasonable Bayesian interpretation, and it may only approximate said interpretation, but if it's at all useful, it will have one.
Thanks for the link. That is a good point. I agree that every useful method has to have some amount of information-theoretic overlap with Bayes, but that overlap could be small and still be useful; we reach most conclusions only after there is overwhelming evidence in favor of them, so one could do as well as humans while only having a small amount of mutual information with proper Bayesian updating (or indeed without ever even working with a Bayesian model).