DivergenceSupport / CONCEPT
Power Additivity of Finite Classical KL Divergence
Repeating a finite strictly positive probability law n times multiplies its classical KL divergence exactly by n.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES4
PROOF DEPTH8
DOCUMENT LINKS1
Finite classical KL divergence is additive on i.i.d. powers
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Bhattacharyya Affinity on Finite Productsstructural-affinity · Closed
- Bhattacharyya Error Exponent and Sample Complexitystructural-affinity · Closed
- Divergence Support: General Support Additivitystructural-affinity · Closed
- Finite Repetition Preserves the Law Kernelstructural-affinity · Closed
- Finite-Family Sample Complexitystructural-affinity · Closed
- Power Additivity of Finite Renyi Divergencestructural-affinity · Closed
- Product Additivity of Finite Classical KL Divergencestructural-affinity · Closed
- Product Additivity of Finite Renyi Divergencestructural-affinity · Closed
- Sample Complexity from Finite Testing-Error Floorsstructural-affinity · Closed
Documents & exposition
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