OAI/Combinatorics/ContingencyTables/Sampling/FirstPaperFiniteSampler.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

The initialized finite Boolean sampler on a nonempty large rectangle

  1. abbrev OAI.ContingencyTables.SmallGraphProfiles.finiteSamplerBits line 30

    Source documentation

    The exact number of independent input bits used by the initialized finite experiment. The physical simulation has additional operation cost.

    abbrev finiteSamplerBits (k : ℕ) : ℕ :=
    …
  2. def OAI.ContingencyTables.SmallGraphProfiles.initializedFiniteDraw line 38

    Source documentation

    Greedy arithmetic supplies all feasible fallbacks and the starting state. Each word returns a member of the original margin fibre.

    def initializedFiniteDraw (k : ℕ) (htotal : (∑ i,r i)=∑ j,c j)
        (a : GridBoundary.Grid (I := Fin q) (4*d^8))
    …

    Mentions: OAI.ContingencyTables.GridBoundary.Grid

  3. theorem OAI.ContingencyTables.SmallGraphProfiles.initializedFiniteDraw_variation line 47

    Source documentation

    Conditional accuracy of the entire actual finite-word experiment, with no assumed sampler, starting state, or completion fallback.

    theorem initializedFiniteDraw_variation (k : ℕ) (hk : 1 ≤ k)
        (htotal : (∑ i,r i)=∑ j,c j)
        (a : GridBoundary.Grid (I := Fin q) (4*d^8))
    …

    Mentions: OAI.ContingencyTables.GridBoundary.Grid