Divergence / CONCEPT
Channel Monotonicity of Finite Classical KL Divergence
A strictly positive finite channel cannot increase finite real-valued classical KL divergence.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS1
A strictly positive finite channel does not increase classical KL divergence
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
- Equality in Gibbs' Inequalitystructural-affinity · Closed
- Marginal Monotonicity of Finite Classical KL Divergencestructural-affinity · Closed
- Maximum Entropy on a Finite Alphabetstructural-affinity · Closed
- Nonnegativity of the Classical Data-Processing Defectstructural-affinity · Closed
- Strict Positivity of Finite Classical KL Divergencestructural-affinity · Closed
- Strict Positivity of the Classical Data-Processing Defectstructural-affinity · Closed
- The Classical Petz Equality Conditionstructural-affinity · Closed
- The Data-Processing Defect on General Supportstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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