| import OAI.Probability.GaussianReplacement.StreamGeometry | |
| import OAI.Probability.GaussianRegression.ReplicaMoments | |
| namespace OAI | |
| open MeasureTheory ProbabilityTheory Set Filter | |
| open scoped ENNReal NNReal RealInnerProductSpace Topology | |
| noncomputable section | |
| universe u | |
| namespace NoiselessRegression | |
| open InnerProductSpace | |
| section GramFactorization | |
| variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℝ E] | |
| {ι : Type*} [Fintype ι] | |
| variable (n : ℕ) | |
| end GramFactorization | |
| section GramDistances | |
| variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℝ E] | |
| [FiniteDimensional ℝ E] {n : ℕ} | |
| variable [MeasurableSpace E] [BorelSpace E] | |
| end GramDistances | |
| section PiLast | |
| variable {E : Type*} [MeasurableSpace E] {n : ℕ} (ν : Measure E) [SigmaFinite ν] | |
| end PiLast | |
| section ReplicaMoments | |
| variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℝ E] | |
| [FiniteDimensional ℝ E] [MeasurableSpace E] [BorelSpace E] | |
| end ReplicaMoments | |
| section AePiLast | |
| variable {E : Type*} [MeasurableSpace E] {n : ℕ} (ν : Measure E) [SigmaFinite ν] | |
| end AePiLast | |
| section ReplicaNondegenerate | |
| variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℝ E] | |
| [FiniteDimensional ℝ E] [MeasurableSpace E] [BorelSpace E] | |
| end ReplicaNondegenerate | |
| end NoiselessRegression | |
| end | |
| end OAI | |