The Bayes–Unexpectedness correspondence conjecture
The Bayes–Unexpectedness correspondence conjecture
Let be a situation, let denote its causal or world complexity, and let denote its description complexity in Simplicity Theory (ST). Define unexpectedness by
Bayes–Unexpectedness correspondence conjecture. Bayes’ rule is a specific instantiation of a more general template captured in ST by Unexpectedness. This conjecture proposes a theoretical relationship between Bayesian inference and the complexity-based account of unexpectedness, with the Bayesian formula corresponding to a special case involving causal candidates, likelihood, prior, and evidence. The source does not provide a proof or a resolution.
Sources & referencesView supporting material
Primary source
Giovanni Sileno and Jean-Louis Dessalles, “Three Conjectures on Unexpectedeness”, arXiv:2311.08768 (2023).
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