TotalVariation / CONCEPT
Equality in Total-Variation Data Processing
Total-variation channel contraction is exact precisely when each output column avoids mixing the two strict sign supports of the input discrepancy.
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH4
DOCUMENT LINKS1
Channel equality is absence of sign mixing
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
- A facet of every lazy two-causal polytopestructural-affinity · Closed
- AlaiStaircasestructural-affinity · Closed
- Approximate Simulation Without Exact Attainmentstructural-affinity · Closed
- Bounds and Contraction for the Descent Defectstructural-affinity · Closed
- Composition parity and biased Bernoulli paritystructural-affinity · Closed
- Coordinate Sum-Product Updatestructural-affinity · Closed
- Data Processing for Finite Total Variationstructural-affinity · Closed
- Lifting a Label Law at Equal Total-Variation Distancestructural-affinity · Closed
- Metric Laws and Variational Characterization for Finite Total Variationstructural-affinity · Closed
- Parity kernel massesstructural-affinity · Closed
- Sharp coupling budgets on a permutation cyclestructural-affinity · Closed
- The relabelled chained inequality for outcome communicationstructural-affinity · Closed
Documents & exposition
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