TotalVariation / CONCEPT
Hellinger Data Processing Through Affinity
A nonnegative row-stochastic finite channel increases Bhattacharyya affinity and contracts squared Hellinger distance.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH6
DOCUMENT LINKS1
Stochastic channels contract squared Hellinger distance
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
- Above-One Data Processing for Finite Renyi Divergencestructural-affinity · Closed
- Data Processing for Finite Renyi Divergencestructural-affinity · Closed
- Finite PMF Likelihood Constructionstructural-affinity · Closed
- Finite Renyi Divergencestructural-affinity · Closed
- Four Local Evidence Closed Formsstructural-affinity · Closed
- Joint Convexity of Total Variation and Squared Hellinger Distancestructural-affinity · Closed
- Order Monotonicity of Finite Renyi Divergencestructural-affinity · Closed
- Squared Hellinger Distance and Total Variationstructural-affinity · Closed
- Squared Hellinger Distance, Divergence, and Metric Lawsstructural-affinity · Closed
- Symmetric Bernoulli Second-Order Evidencestructural-affinity · Closed
- Total Variation: Hellinger Countable Comparisonstructural-affinity · Closed
- Weak Prime Evidence Has Finite Totalstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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