TotalVariation / CONCEPT
Finite Total Variation and Pinsker's Inequality
Finite total variation is pinned by an equal-mass identity and bounded by relative entropy in nats.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES2
PROOF DEPTH2
DOCUMENT LINKS1
Equal-mass total variation is positive excess
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
- Bayesian Reverse Recovery at Zero DPI Defectstructural-affinity · Closed
- Bhattacharyya Affinity and the Bretagnolle--Huber Boundstructural-affinity · Closed
- Classical Data Processing on General Supportstructural-affinity · Closed
- Data Processing for Finite Total Variationstructural-affinity · Closed
- Equality in Total-Variation Data Processingstructural-affinity · Closed
- Finite Renyi Divergencestructural-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
- Posterior Equality, Recovery, and Permutation Channelsstructural-affinity · Closed
- The Data-Processing Defect on General Supportstructural-affinity · Closed
- The Grandmother Theoremstructural-affinity · Closed
- When the General-Support Data-Processing Defect Vanishesstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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