openAI-math-dataset / lean /OAI /LinearAlgebra /MatrixMultiplication /Polynomial /ComplexSeparationPolynomialKernel.lean
| 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 | |