TotalVariation / CONCEPT
Joint Convexity of Total Variation and Squared Hellinger Distance
Total variation is jointly convex without mass hypotheses, while squared Hellinger distance is jointly convex on the nonnegative quadrant.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH6
DOCUMENT LINKS1
Total variation is jointly convex for arbitrary real functions
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
- Chernoff Information Zero Criterionstructural-affinity · Closed
- Finite PMF Likelihood Constructionstructural-affinity · Closed
- Finite Renyi Divergencestructural-affinity · Closed
- Four Local Evidence Closed Formsstructural-affinity · Closed
- Hellinger Data Processing Through Affinitystructural-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.
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