trureturingGitHub MATHEMATICAL ATLAS

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.

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DIRECT PREREQUISITES2
DIRECT CONSEQUENCES8
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

Equal-mass total variation is positive excess

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The Grandmother TheoremThe Grandmother TheoremClassical Data Processing on General SupportClassical Data Processing onGeneral SupportFinite Total Variation and Pinsker's InequalityFinite Total Variation andPinsker's InequalityBinomial Gaussian IngredientsBinomial Gaussian IngredientsGarbled Posterior and Scalar Root RiskGarbled Posterior and ScalarRoot RiskComposition Fibers and Fibonacci Genealogical TransportComposition Fibers andFibonacci GenealogicalTransportOperational sparse-probe compression boundOperational sparse-probecompression boundOverlapBoundOverlapBoundData Processing for Finite Total VariationData Processing for FiniteTotal VariationMetric Laws and Variational Characterization for Finite Total VariationMetric Laws and VariationalCharacterization for FiniteTotal VariationComplete Twisted Prefix ComparisonComplete Twisted PrefixComparison
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Status
Closed
Depth
2
Layer
D5/S3
Domain
TotalVariation
Node ID
D5/S3/TotalVariation/Pinsker
Repository path
D5/S3/TotalVariation/Pinsker.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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