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f18e7de | 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 | import OAI.LinearAlgebra.MatrixMultiplication.Polynomial.ComplexConstantPolynomialKernel
import OAI.LinearAlgebra.MatrixMultiplication.Separation.ComplexLabelHierarchySeparation
namespace OAI
/-! Polynomial tensor restrictions and exact coefficient extraction. -/
noncomputable section
namespace MatrixMultiplication.Foundation.PolynomialLocalConstruction
open Tensor
def poolAuxiliaryApproximation (k : ℕ) :
PolynomialApproximation (LabelHierarchySeparation.poolAuxiliaryTensor k)
(LabelHierarchySeparation.poolAuxiliaryCost k) 0 0 :=
PolynomialApproximation.ofRankAtMost _ _
(LabelHierarchySeparation.poolAuxiliaryTensor_rankAtMost k)
end MatrixMultiplication.Foundation.PolynomialLocalConstruction
end
end OAI
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