Approximation by convolution translation networks on conic domains

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Convolution, factorization for one variable harmonic analysis (42A85) Rate of convergence, degree of approximation (41A25) Approximate quadratures (41A55) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Cites Work

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On the norm of the OPED algorithm on the ball
Approximation by neural networks with sigmoidal functions
The ridge function representation of polynomials and an application to neural networks
A note on singular value decomposition for Radon transform in \(R^n\)
A note on the norm of an algorithm for reconstruction from Radon data on the ball
The essential order of approximation for neural networks
Approximation by Ridge functions and neural networks with one hidden layer
Best approximation and \(K\)-functionals
Degree of approximation by neural and translation networks with a single hidden layer
Approximation properties of zonal function networks using scattered data on the sphere
Approximation and localized polynomial frame on conic domains
Universality of deep convolutional neural networks
On approximation by reproducing kernel spaces in weighted \(L^p\) spaces
Orthogonal polynomials and Fourier orthogonal series on a cone
The Mathematics of Computerized Tomography
Deep distributed convolutional neural networks: Universality
Approximation Theory and Harmonic Analysis on Spheres and Balls
Reconstruction from Radon projections and orthogonal expansion on a ball
Jacobi decomposition of weighted Triebel–Lizorkin and Besov spaces
A Convolution Structure for Jacobi Series
Orthogonal structure and orthogonal series in and on a double cone or a hyperboloid
Approximation by superpositions of a sigmoidal function
Determination of compactly supported functions in shift-invariant space by single-angle Radon samples
Neural network interpolation operators of multivariate functions
On the density of translation networks defined on the unit ball

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