OAI/Combinatorics/ContingencyTables/Sampling/FirstPaperFiniteSampler.lean
3 declarations, 0 contain sorry, 0 declared as axioms
The initialized finite Boolean sampler on a nonempty large rectangle
- abbrev
OAI.ContingencyTables.SmallGraphProfiles.finiteSamplerBitsline 30Source 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 := …
- def
OAI.ContingencyTables.SmallGraphProfiles.initializedFiniteDrawline 38Source 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
- theorem
OAI.ContingencyTables.SmallGraphProfiles.initializedFiniteDraw_variationline 47Source 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