Divergence / CONCEPT
Marginal Monotonicity of Finite Classical KL Divergence
Taking the first-coordinate marginal cannot increase finite real-valued classical KL divergence.
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DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS1
The first-coordinate marginal does not increase finite 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
- Adjudication-Signature Sufficiency and Its Target-Laundering Failurestructural-affinity · Closed
- Bayes Plausibilitystructural-affinity · Closed
- Chain Rule for Finite Classical KL Divergencestructural-affinity · Closed
- Channel Monotonicity of Finite Classical KL Divergencestructural-affinity · Closed
- Conditional Entropy and Its Chain Rulestructural-affinity · Closed
- Coordinate Necessity of the Adjudication Signaturestructural-affinity · Closed
- Equality in Gibbs' Inequalitystructural-affinity · Closed
- Maximum Entropy on a Finite Alphabetstructural-affinity · Closed
- Mutual Information Vanishes on Product Lawsstructural-affinity · Closed
- Nonnegativity of Finite Classical Mutual Informationstructural-affinity · Closed
- Nonnegativity of the Classical Data-Processing Defectstructural-affinity · Closed
- Positive Conditioning Preserves Predictive Equivalencestructural-affinity · Closed
- Posterior Mixture Kernel Realizationstructural-affinity · Closed
- Scientific Gain Does Not Identify Generalizationstructural-affinity · Closed
- The Grandmother Theoremstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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