RenyiDivergence / CONCEPT
Finite Renyi Divergence
Finite Renyi divergence is defined for real orders and pinned by complementary half-order, self, and order-two identities.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES4
PROOF DEPTH5
DOCUMENT LINKS1
Half order is minus twice log Bhattacharyya
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 and the Bretagnolle--Huber Boundstructural-affinity · Closed
- Bhattacharyya Affinity on Finite Productsstructural-affinity · Closed
- Chernoff Information Zero Criterionstructural-affinity · Closed
- Data Processing for Finite Renyi Divergencestructural-affinity · Closed
- Divergence Bounds for Finite Two-Point Testing Errorstructural-affinity · Closed
- Finite Order Comparisons for Renyi Divergencestructural-affinity · Closed
- Finite PMF Likelihood Constructionstructural-affinity · Closed
- Finite Total Variation and Pinsker's Inequalitystructural-affinity · Closed
- Hellinger Data Processing Through Affinitystructural-affinity · Closed
- Joint Convexity of Total Variation and Squared Hellinger Distancestructural-affinity · Closed
- Le Cam's Two-Point Lemma for Every Finite Teststructural-affinity · Closed
- Metric Laws and Variational Characterization for Finite Total Variationstructural-affinity · Closed
- Order Monotonicity of Finite Renyi Divergencestructural-affinity · Closed
- Power Additivity of Finite Renyi Divergencestructural-affinity · Closed
- Product Additivity of Finite Renyi Divergencestructural-affinity · Closed
- Product Subadditivity of Total Variationstructural-affinity · Closed
- Renyi Divergence: Order One Limitstructural-affinity · Closed
- Skew Symmetry of Finite Renyi Divergencestructural-affinity · Closed
- Squared Hellinger Distance and Total Variationstructural-affinity · Closed
- Total Variation: Hellinger Countable Comparisonstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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