OAI/Combinatorics/ContingencyTables/Sampling/CompiledResidualCorrection.lean
3 declarations, 0 contain sorry, 0 declared as axioms
Exact residual correction for the compiled public draw
- lemma
OAI.ContingencyTables.SmallGraphProfiles.correctionPrecision_posline 18 - theorem
OAI.ContingencyTables.SmallGraphProfiles.scheduled_residual_correctionline 24Source documentation
The residual uses the compiled sampler's finite output law.
theorem scheduled_residual_correction (hPL : PublishedInputs.FiniteBoxPrekopaLeindler q) (hCheeger : PublishedInputs.FiniteCheeger (GridBoundary.Grid (I := Fin q) (4*d^8))) …Mentions: OAI.ContingencyTables.PublishedInputs.FiniteBoxPrekopaLeindler, OAI.ContingencyTables.PublishedInputs.FiniteCheeger, OAI.ContingencyTables.GridBoundary.Grid
- theorem
OAI.ContingencyTables.SmallGraphProfiles.public_residual_correctionline 49Source documentation
Consequently the same exact mixture identity holds for every sufficiently long execution of the physical finite-transition machine.
theorem public_residual_correction (hPL : PublishedInputs.FiniteBoxPrekopaLeindler q) (hCheeger : PublishedInputs.FiniteCheeger (GridBoundary.Grid (I := Fin q) (4*d^8))) …Mentions: OAI.ContingencyTables.PublishedInputs.FiniteBoxPrekopaLeindler, OAI.ContingencyTables.PublishedInputs.FiniteCheeger, OAI.ContingencyTables.GridBoundary.Grid