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Simultaneous approximation with neural networks

Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks. IJCNN 2000. Neural Computing: New Challenges and Perspectives for the New Millennium, 2000
In this paper we use a "uniformity" property of Riemann integration to obtain a single-hidden-layer neural network of fixed translates of a (not necessarily radial) basis function with a fixed "width" that approximates a (possibly infinite) set of target functions arbitrarily well in the supremum norm over a compact set.
Ajit T. Dingankar, Dhananjay S. Phatak
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Simultaneous Diophantine Approximation To Series

Journal of the London Mathematical Society, 1959
Es sei \(\mathfrak K\) die Menge aller formalen Laurentreihen \(x = \alpha_d z^d + \alpha_{d-1}z^{d-1}+ \ldots\) mit Koeffizienten aus einem Körper \(\mathfrak k\). Es werde ferner \(\mathfrak T = \mathfrak k [z]\) und \(\mathfrak R = \mathfrak k(z)\) gesetzt.
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Simultaneous asymptotic Diophantine approximations

Mathematika, 1967
Let θ 1 , …, θ k be k real numbers. Suppose ψ( t ) is a positive decreasing function of the positive variable t . Define λ( N ), for all positive integers N , to be the number of solutions in integers p 1 …, p k , q of the inequalities ...
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Simultaneous approximation by algebraic polynomials

Constructive Approximation, 1996
Some estimates for simultaneous polynomial approximation of a function and its derivatives are obtained. These estimates are exact in a certain sense. In particular, the following result is derived as a corollary: For \(f\in C^r[-1,1]\), \(m\in\mathbb{N}\), and any \(n\geq\max\{m+ r-1,2r+1\}\), an algebraic polynomial \(P_n\) of degree \(\leq n ...
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Simultaneous Trigonometric Approximation

Journal of Mathematics and Physics, 1952
Steinberg, R., Redheffer, R. M.
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On simultaneous approximation

2019
In this paper first we give two different definitions for best simultaneous Lp approximation to n functions and study the relation between best simultaneous approximation and best Lp approximations to the arithmetic mean of n functions. In addition we consider the definition and the theorem about the simultaneous approximation to n (n odd) functions in
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Simultaneous Approximation

The Annals of Mathematics, 1950
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Robust Simultaneous Sparse Approximation

2015
This chapter considers sparse underdetermined (ill-posed) multivariate multiple linear regression model known in signal processing literature as multiple measurement vector (MMV) model. The objective is to find good recovery of jointly sparse unknown signal vectors from the given multiple measurement vectors which are different linear combinations of ...
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On Simultaneous Diophantine Approximations

Proceedings of the London Mathematical Society, 1946
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Simultaneous Diophantine Approximation

Journal of the London Mathematical Society, 1955
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