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 CONSEQUENCES0
PROOF DEPTH4
DOCUMENT LINKS1
Channel equality is absence of sign mixing
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Prerequisites
Certified topology / DOWNSTREAM
Consequences
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RELATED KNOWLEDGE
Structural connections
- Approximate Simulation Without Exact Attainmentstructural-affinity · Closed
- Bounded-Risk Simulator Transportstructural-affinity · Closed
- Bounds and Contraction for the Descent Defectstructural-affinity · Closed
- Data Processing for Finite Total Variationstructural-affinity · Closed
- Finite Total Variation and Pinsker's Inequalitystructural-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
- Zero Descent Defect and Exact Lumpabilitystructural-affinity · Closed
Documents & exposition
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