Hard to Vary or Hardly Usable?
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This could be a promising approach to formalize HTV:
https://x.com/FZdyb/status/2051352500582641931
https://github.com/deoxyribose/hard_to_vary_posterior_predictive
It’s AI generated, so not eligible for the bounty. And I’m not familiar enough with the probability calculus to evaluate it. But bookmarking it here for the future.
(One of my first criticisms was that HTV has nothing to do with likelihood, which the author granted but addressed by saying it maps onto marginal likelihood. See https://x.com/FZdyb/status/2051004605601898561 and surrounding discussion.)