File size: 1,719 Bytes
b317718 | 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 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 | import OAI.Probability.GaussianReplacement.StreamGram
import OAI.Probability.GaussianRegression.Projection
namespace OAI
open MeasureTheory ProbabilityTheory Set Filter
open scoped ENNReal NNReal RealInnerProductSpace Topology
noncomputable section
universe u
namespace NoiselessRegression
open InnerProductSpace
section GaussianDomination
variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℝ E]
[FiniteDimensional ℝ E] [MeasurableSpace E] [BorelSpace E]
end GaussianDomination
section ReplicaKernel
variable {X : Type*} [MeasurableSpace X] (μ : Measure X) [SigmaFinite μ]
end ReplicaKernel
section GaussianKernel
variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℝ E]
[FiniteDimensional ℝ E] [MeasurableSpace E] [BorelSpace E]
end GaussianKernel
section SmoothingMoments
variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℝ E]
[FiniteDimensional ℝ E] [MeasurableSpace E] [BorelSpace E]
end SmoothingMoments
section ProductDensity
variable {X : Type*} [MeasurableSpace X] (μ : Measure X) [SigmaFinite μ]
end ProductDensity
section GaussianNoise
end GaussianNoise
section HolderSet
variable {X : Type*} [MeasurableSpace X] (μ : Measure X)
end HolderSet
section LimitSet
variable {X Y : Type*} [MeasurableSpace X] [MeasurableSpace Y]
[TopologicalSpace Y] [BorelSpace Y]
(ρ : Measure X) (τ : Measure Y)
end LimitSet
section OuterBound
variable {Y : Type*} [MeasurableSpace Y] [TopologicalSpace Y]
end OuterBound
section ProjectionCoupling
variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℝ E]
[FiniteDimensional ℝ E] [MeasurableSpace E] [BorelSpace E]
end ProjectionCoupling
end NoiselessRegression
end
end OAI
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