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ConceptDynamics / CONCEPT

Translation Loss under Postprocessing

Deterministic postprocessing preserves target defects and cannot reduce target loss.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES6
PROOF DEPTH7
DOCUMENT LINKS1
THEOREM

Translation loss is monotone under postprocessing

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Refinement, Target Risk, and CostRefinement, Target Risk, andCostEntropy and Capacity under Carrier ForgettingEntropy and Capacity underCarrier ForgettingSymmetry of Finite Mutual InformationSymmetry of Finite MutualInformationMarkov Data ProcessingMarkov Data ProcessingTranslation Loss under PostprocessingTranslation Loss underPostprocessingReadout and Completion Law CompatibilityReadout and Completion LawCompatibilityActual-Posterior Information Gain Can IncreaseActual-Posterior InformationGain Can IncreaseTarget-Pair Coverage and Information ContrastTarget-Pair Coverage andInformation ContrastEqual Entropy, Different Target ValueEqual Entropy, Different TargetValueConditional Information under ForgettingConditional Information underForgettingSelected Observation Information MonotonicitySelected ObservationInformation Monotonicity
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
7
Layer
D5/S3
Domain
ConceptDynamics
Node ID
D5/S3/ConceptDynamics/Communication/TranslationLossMonotonicity
Repository path
D5/S3/ConceptDynamics/Communication/TranslationLossMonotonicity.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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