TotalVariation / CONCEPT
Data Processing for Finite Total Variation
A nonnegative row-stochastic finite channel contracts total variation for arbitrary real input functions.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES7
PROOF DEPTH3
DOCUMENT LINKS1
Stochastic channels contract total variation
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Actual mixing and complete-prefix comparisontruth-dependency · Closed
- Bounds and Contraction for the Descent Defecttruth-dependency · Closed
- Equality in Total-Variation Data Processingtruth-dependency · Closed
- Green-Class Window Total Variationtruth-dependency · Closed
- OddConstructiontruth-dependency · Closed
- Rank-One Feedback and the First Readtruth-dependency · Closed
- Uniform CAR reverse obstructiontruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A facet of every lazy two-causal polytopestructural-affinity · Closed
- Actual mixing and complete-prefix comparisonstructural-affinity · Closed
- AlaiStaircasestructural-affinity · Closed
- Bounds and Contraction for the Descent Defectstructural-affinity · Closed
- Complete Binomial Power Normalizationstructural-affinity · Closed
- Complete Twisted Prefix Comparisonstructural-affinity · Closed
- Constructionstructural-affinity · Closed
- Equality in Total-Variation Data Processingstructural-affinity · Closed
- Finite Binomial Surprisestructural-affinity · Closed
- Finite Total Variation and Pinsker's Inequalitystructural-affinity · Closed
- Green-Class Window Total Variationstructural-affinity · Closed
- Lifting a Label Law at Equal Total-Variation Distancestructural-affinity · Closed
- Maximum of the Powered Binomial Ratiostructural-affinity · Closed
- Measurable Random Control and Actual Complete Recordsstructural-affinity · Closed
- OddConstructionstructural-affinity · Closed
- Operational sparse-probe compression boundstructural-affinity · Closed
- OverlapBoundstructural-affinity · Closed
- Rank-One Feedback and the First Readstructural-affinity · Closed
- SpectralLowerBoundstructural-affinity · Closed
- The relabelled chained inequality for outcome communicationstructural-affinity · Closed
- Uniform Binomial Upper Boundstructural-affinity · Closed
- Uniform CAR reverse obstructionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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