trureturingGitHub MATHEMATICAL ATLAS

Estimation / CONCEPT

Garbling Increases Bayes Risk

Blackwell dominance is reflexive and transitive, includes measurable deterministic post-processing, and its garblings cannot improve optimal Bayes risk.

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THEOREM

Garbling cannot decrease optimal Bayes risk

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Garbling Increases Bayes RiskGarbling Increases Bayes RiskReadout Refinement as Blackwell GarblingReadout Refinement as BlackwellGarblingBlackwell Order and External CostBlackwell Order and ExternalCost
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Estimation
Node ID
D5/S3/Estimation/DecisionRisk/GarblingIncreasesBayesRisk
Repository path
D5/S3/Estimation/DecisionRisk/GarblingIncreasesBayesRisk.lean
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sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
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745bf90812f7175f83e1235688249f9495f23bfc
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143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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