The Bayes–Unexpectedness correspondence conjecture

Let ss be a situation, let CW(s)C_W(s) denote its causal or world complexity, and let CD(s)C_D(s) denote its description complexity in Simplicity Theory (ST). Define unexpectedness by

U(s)=CW(s)CD(s).U(s)=C_W(s)-C_D(s).

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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