Divergence / CONCEPT
Strict Positivity of the Classical Data-Processing Defect
Posterior disequality makes the finite classical data-processing defect strictly positive.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH4
DOCUMENT LINKS1
Posterior disequality makes the classical DPI defect positive
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Channel Monotonicity of Finite Classical KL Divergencestructural-affinity · Closed
- Equality Cases for Finite Shannon Entropystructural-affinity · Closed
- Equality in Gibbs' Inequalitystructural-affinity · Closed
- Nonnegativity of the Classical Data-Processing Defectstructural-affinity · Closed
- Strict Positivity of Finite Classical KL Divergencestructural-affinity · Closed
- The Classical Petz Equality Conditionstructural-affinity · Closed
- Vanishing Mutual Information Characterizes Independencestructural-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
Loading release versions...
Browse the archiveCertified provenance