trureturingGitHub MATHEMATICAL ATLAS

Divergence / CONCEPT

Nonnegativity of the Classical Data-Processing Defect

Finite classical channels have a nonnegative Kullback-Leibler data-processing defect.

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DIRECT PREREQUISITES2
DIRECT CONSEQUENCES2
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

The classical data-processing defect is nonnegative

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Classical Data Processing as a Chain IdentityClassical Data Processing as aChain IdentityThe Grandmother TheoremThe Grandmother TheoremNonnegativity of the Classical Data-Processing DefectNonnegativity of the ClassicalData-Processing DefectChannel Monotonicity of Finite Classical KL DivergenceChannel Monotonicity of FiniteClassical KL DivergenceStrict Positivity of the Classical Data-Processing DefectStrict Positivity of theClassical Data-ProcessingDefect
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Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
Divergence
Node ID
D5/S3/Divergence/DpiDefect
Repository path
D5/S3/Divergence/DpiDefect.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
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745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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