On best approximation of classes by radial functions
From MaRDI portal
Publication:1867260
DOI10.1016/S0021-9045(02)00011-4zbMath1013.41013MaRDI QIDQ1867260
Publication date: 2 April 2003
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Best approximation, Chebyshev systems (41A50) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
Related Items (11)
Linear and nonlinear approximation of spherical radial basis function networks ⋮ The estimate for approximation error of spherical neural networks ⋮ The rate of approximation of Gaussian radial basis neural networks in continuous function space ⋮ Representation of polynomials by linear combinations of radial basis functions ⋮ Essential rate for approximation by spherical neural networks ⋮ Almost optimal estimates for approximation and learning by radial basis function networks ⋮ Multivariate approximation by translates of the Korobov function on Smolyak grids ⋮ On lower bounds in radial basis approximation ⋮ Some problems in the theory of ridge functions ⋮ Limitations of shallow nets approximation ⋮ The essential rate of approximation for radial function manifold
Cites Work
- Approximation by superposition of sigmoidal and radial basis functions
- Optimal reconstruction of a function from its projections
- The degree of approximation of sets in euclidean space using sets with bounded Vapnik-Chervonenkis dimension
- Identifying linear combinations of ridge functions
- On the degree of approximation by manifolds of finite pseudo-dimension
- On best approximation by ridge functions
- On the approximation of functional classes equipped with a uniform measure using ridge functions
- Lower bounds for approximation by MLP neural networks
- Fundamentality of ridge functions
- Approximation by spherical waves in \(L^p\)-spaces
- On lower bounds in radial basis approximation
- Uniqueness in vector-valued approximation
- Optimal nonlinear approximation
- On quasi-interpolation by radial basis functions with scattered centres
- Error estimates and condition numbers for radial basis function interpolation
- Random approximants and neural networks
- TDI-subspaces of \(C(\mathbb{R}^ d)\) and some density problems from neural networks
- Approximation by radial basis functions with finitely many centers
- Approximation properties of zonal function networks using scattered data on the sphere
- Special issue: Radial basis functions and their applications
- On the near optimality of the stochastic approximation of smooth functions by neural networks
- Approximation by Ridge Functions and Neural Networks
- Universal approximation bounds for superpositions of a sigmoidal function
- Equivalent Norms for Sobolev Spaces
- On the Betti Numbers of Real Varieties
- 0n the best approximation by ridge functions in the uniform norm
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On best approximation of classes by radial functions