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dd14c26 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 | import Mathlib
import OAI.Probability.LogConcave.OraclePrograms.Program
namespace OAI
section
noncomputable section
namespace LogConcaveSampling.OracleCompiler
open MeasureTheory
open scoped Classical BigOperators
structure SeedProgram (d : ℕ) where
slots : ℕ
calls : ℕ
program : Program (Point d × (Fin slots → Point d)) d calls (Point d)
shift : Fin slots → ℝ
namespace SeedProgram
variable {d : ℕ}
def damping (M : SeedProgram d) (D : ℝ) :
(Fin M.slots → Point d) → (Fin M.slots → Point d) :=
SeedCompiler.slotTransform (SeedCompiler.sqrtCoefficient (fun i => M.shift i/(2*D)))
(fun i => M.shift i/(2*D))
lemma measurable_damping (M : SeedProgram d) (D : ℝ) : Measurable (M.damping D) := by
unfold damping SeedCompiler.slotTransform SeedCompiler.slotSum
fun_prop
end SeedProgram
end LogConcaveSampling.OracleCompiler
end
end
end OAI
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