Divergence / CONCEPT
The Classical Petz Equality Condition
Zero classical data-processing defect is equivalent to supportwise equality of posteriors.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES1
PROOF DEPTH3
DOCUMENT LINKS1
Zero DPI defect is supportwise posterior equality
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Bayesian Reverse Recovery at Zero DPI Defectstructural-affinity · Closed
- Channel Monotonicity of Finite Classical KL Divergencestructural-affinity · Closed
- Classical Data Processing as a Chain Identitystructural-affinity · Closed
- Equality in Gibbs' Inequalitystructural-affinity · Closed
- Maximum Entropy on a Finite Alphabetstructural-affinity · Closed
- Nonnegativity of the Classical Data-Processing Defectstructural-affinity · Closed
- Posterior Equality, Recovery, and Permutation Channelsstructural-affinity · Closed
- Strict Positivity of Finite Classical KL Divergencestructural-affinity · Closed
- Strict Positivity of the Classical Data-Processing Defectstructural-affinity · Closed
- The Grandmother Theoremstructural-affinity · Closed
- When the General-Support Data-Processing Defect Vanishesstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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