trureturingGitHub MATHEMATICAL ATLAS

Estimation / CONCEPT

Universal Sufficiency of the Posterior

Equal finite-state posteriors remain equal under a common observation update and give equal normalized one-step Bayes values for every action type and real loss.

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DIRECT PREREQUISITES0
DIRECT CONSEQUENCES4
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

Equal posteriors have every conditional Bayes value in common

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Universal Sufficiency of the PosteriorUniversal Sufficiency of thePosteriorAdaptive Posterior-Policy SufficiencyAdaptive Posterior-PolicySufficiencyExperiment State and Posterior Decision SeparationExperiment State and PosteriorDecision SeparationPosterior Future-Policy SufficiencyPosterior Future-PolicySufficiencyBelief Markov UpdateBelief Markov Update
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Estimation
Node ID
D5/S3/Estimation/DecisionRisk/PosteriorUniversalSufficiency
Repository path
D5/S3/Estimation/DecisionRisk/PosteriorUniversalSufficiency.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
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143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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