DivergenceSupport / CONCEPT
Equality in the Finite Log-Sum Inequality
Equality in the finite log-sum inequality is characterized by proportionality on the positive reference support.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS1
Proportional families attain log-sum equality
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
- Chain Rule for Finite Classical KL Divergencestructural-affinity · Closed
- Classical Data Processing on General Supportstructural-affinity · Closed
- Equality in Gibbs' Inequalitystructural-affinity · Closed
- Log-Sum Inequality and Joint Convexity on General Supportstructural-affinity · Closed
- Nonnegativity of the Classical Data-Processing Defectstructural-affinity · Closed
- Product Additivity of Finite Classical KL Divergencestructural-affinity · Closed
- The Grandmother Theoremstructural-affinity · Closed
- Weak Finite Fano Inequality in Natsstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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