RootedEstimatorWords.lean`

3 declarations, 0 contain sorry, 0 declared as axioms

A single Boolean word for the literal companion weight estimator

def OAI.ContingencyTables.RootedOracleDensity.wordEstimate line 20

theorem OAI.ContingencyTables.RootedOracleDensity.wordEstimate_failure line 29

Source documentation

The single fixed-length word has exactly the previously analyzed independent-product law.

theorem wordEstimate_failure (A : Instance I J) (R : RootedCompletion.Selection A.T) (C : ℕ) (hC : 0 < C) (z : View A → ℕ)
    (hz : BalancedBox.InBox (bounds A) z) (K : ℕ) (hK : 1 ≤ K) (hW : 100*A.d*K ≤ A.W)
    (hB : (K:ℝ)=binWidth A C) (j : ℕ) (hj : j ≤ rationalHeight A C)
    (epsilon failure : ℚ) (he0 : 0 < epsilon) (he1 : epsilon < 1) (hf : 0 < failure)
    (hPL : PublishedInputs.FiniteBoxPrekopaLeindler (dimension A))
    (hCheeger : PublishedInputs.FiniteCheeger (Grid (I := Fin (dimension A)) K))
…

Mentions: OAI.ContingencyTables.RootedCompletion.Selection, OAI.ContingencyTables.BalancedBox.InBox, OAI.ContingencyTables.PublishedInputs.FiniteBoxPrekopaLeindler, OAI.ContingencyTables.PublishedInputs.FiniteCheeger

theorem OAI.ContingencyTables.RootedOracleDensity.wordEstimate_range line 55