TotalVariation / CONCEPT
Squared Hellinger Distance and Total Variation
Intrinsic squared Hellinger distance is pinned on arbitrary finite real functions and compared sharply with total variation.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES8
PROOF DEPTH5
DOCUMENT LINKS1
Squared Hellinger distance vanishes on the diagonal
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Finite PMF Likelihood Constructiontruth-dependency · Closed
- Hellinger Data Processing Through Affinitytruth-dependency · Closed
- Joint Convexity of Total Variation and Squared Hellinger Distancetruth-dependency · Closed
- One distinguishing length and killed-pair contractiontruth-dependency · Closed
- Squared Hellinger Distance, Divergence, and Metric Lawstruth-dependency · Closed
- Symmetric Binomial Chi-Square Defecttruth-dependency · Closed
- The terminal quantum output and the full time recordtruth-dependency · Closed
- Total Variation: Hellinger Countable Comparisontruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Actual marked cylinders and predictive endpoint massesstructural-affinity · Closed
- Bhattacharyya Affinity and the Bretagnolle--Huber Boundstructural-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 PMF Likelihood Constructionstructural-affinity · Closed
- Finite Renyi Divergencestructural-affinity · Closed
- Five Mode Self Generated Lawsstructural-affinity · Closed
- Hellinger Data Processing Through Affinitystructural-affinity · Closed
- Joint Convexity of Total Variation and Squared Hellinger Distancestructural-affinity · Closed
- Loss density stability on the original clockstructural-affinity · Closed
- One distinguishing length and killed-pair contractionstructural-affinity · Closed
- Sequential Hellinger Localization and Dichotomystructural-affinity · Closed
- Squared Hellinger Distance, Divergence, and Metric Lawsstructural-affinity · Closed
- Symmetric Bernoulli Second-Order Evidencestructural-affinity · Closed
- Symmetric Binomial Chi-Square Defectstructural-affinity · Closed
- The terminal quantum output and the full time recordstructural-affinity · Closed
- Total Variation: Hellinger Countable Comparisonstructural-affinity · Closed
- Unifilar word affinity and pair survivalstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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