Lower bounds for multivariate approximation by affine-invariant dictionaries

DOI10.1109/18.923738zbMath1029.41017OpenAlexW2154216006MaRDI QIDQ4544591

Ron Meir, Vitaly Maiorov

Publication date: 4 August 2002

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/14767d7a7ac09c91940bc941cb615ef15879c589

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (7)

Linear and nonlinear approximation of spherical radial basis function 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 ⋮ Approximation by neural networks and learning theory ⋮ Pseudo-dimension and entropy of manifolds formed by affine-invariant dictionary ⋮ Some problems in the theory of ridge functions

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