Interpolation by Ridge functions
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Publication:1801560
DOI10.1006/jath.1993.1039zbMath0783.41002OpenAlexW1976232927MaRDI QIDQ1801560
Publication date: 10 March 1994
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jath.1993.1039
Interpolation in approximation theory (41A05) Approximation by other special function classes (41A30)
Related Items (22)
On the error of approximation by ridge functions with two fixed directions ⋮ Characterization of an extremal sum of ridge functions ⋮ On the theorem of M. Golomb ⋮ Approximation by ridge functions and neural networks with a bounded number of neurons ⋮ On some properties of finite sums of ridge functions defined on convex subsets of \(\mathbb{R}^n\) ⋮ A note on the equioscillation theorem for best ridge function approximation ⋮ Representation of multivariate functions by sums of ridge functions ⋮ On the representation by sums of algebras of continuous functions ⋮ On the continuity of finite sums of ridge functions ⋮ On the representation by linear superpositions ⋮ Scattered hermite interpolation by ridge functions ⋮ Approximation error of single hidden layer neural networks with fixed weights ⋮ Continuous sums of ridge functions on a convex body and the class VMO ⋮ Approximation by sums of ridge functions with fixed directions ⋮ Computing the Approximation Error for Neural Networks with Weights Varying on Fixed Directions ⋮ Approximation by neural networks with weights varying on a finite set of directions ⋮ On some properties of smooth sums of ridge functions ⋮ Unnamed Item ⋮ Some problems in the theory of ridge functions ⋮ Interpolation on lines by ridge functions ⋮ A note on the representation of continuous functions by linear superpositions ⋮ ON THE ERROR OF APPROXIMATION BY RBF NEURAL NETWORKS WITH TWO HIDDEN NODES
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