Entropy / CONCEPT
Nonnegativity of Finite Classical Mutual Information
Finite classical mutual information in nats is nonnegative for every nonnegative normalized joint mass function.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES5
PROOF DEPTH2
DOCUMENT LINKS1
Finite classical mutual information is nonnegative
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Mutual Information as an Entropy Balancetruth-dependency · Closed
- Mutual Information Vanishes on Product Lawstruth-dependency · Closed
- Symmetry of Finite Mutual Informationtruth-dependency · Closed
- The Feedback Divergence Identitytruth-dependency · Closed
- Vanishing Mutual Information Characterizes Independencetruth-dependency · Closed
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
- Conditional Entropy and Its Chain Rulestructural-affinity · Closed
- Coordinate Necessity of the Adjudication Signaturestructural-affinity · Closed
- Marginal Monotonicity of Finite Classical KL Divergencestructural-affinity · Closed
- Mutual Information as an Entropy Balancestructural-affinity · Closed
- Mutual Information Vanishes on Product Lawsstructural-affinity · Closed
- Positive Conditioning Preserves Predictive Equivalencestructural-affinity · Closed
- Posterior Mixture Kernel Realizationstructural-affinity · Closed
- Strong Subadditivity and Conditional Productsstructural-affinity · Closed
- Symmetry of Finite Mutual Informationstructural-affinity · Closed
- The Feedback Divergence Identitystructural-affinity · Closed
- The Grandmother Theoremstructural-affinity · Closed
- Vanishing Mutual Information Characterizes Independencestructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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