Divergence / CONCEPT
Chain Rule for Finite Classical KL Divergence
Finite real-valued classical KL divergence decomposes into marginal and conditional terms.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES6
PROOF DEPTH1
DOCUMENT LINKS1
Finite classical KL divergence obeys the chain rule
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Bayes Plausibilitytruth-dependency · Closed
- Conditional Entropy and Its Chain Ruletruth-dependency · Closed
- Marginal Monotonicity of Finite Classical KL Divergencetruth-dependency · Closed
- Nonnegativity of Finite Classical Mutual Informationtruth-dependency · Closed
- Positive Conditioning Preserves Predictive Equivalencetruth-dependency · Closed
- Scientific Gain Does Not Identify Generalizationtruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Adjudication-Signature Sufficiency and Its Target-Laundering Failurestructural-affinity · Closed
- Bayes Plausibilitystructural-affinity · Closed
- Classical Data Processing as a Chain Identitystructural-affinity · Closed
- Classical Data Processing on General Supportstructural-affinity · Closed
- Conditional Entropy and Its Chain Rulestructural-affinity · Closed
- Equality in the Finite Log-Sum Inequalitystructural-affinity · Closed
- Log-Sum Inequality and Joint Convexity on General Supportstructural-affinity · Closed
- Marginal Monotonicity of Finite Classical KL Divergencestructural-affinity · Closed
- Nonnegativity of Finite Classical Mutual Informationstructural-affinity · Closed
- Positive Conditioning Preserves Predictive Equivalencestructural-affinity · Closed
- Posterior Mixture Kernel Realizationstructural-affinity · Closed
- Product Additivity of Finite Classical KL Divergencestructural-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
Content history
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