Comparison of Rates of Linear and Neural Network Approximation

Como, Italy July 24-July 27

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http://doi.ieeecomputersociety.org/10.1109/IJCNN.2000.857848

IEEE-INNS-ENNS International Joint Co ...

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	Vera Kurková, Marcello Sanguineti, "Comparison of Rates of Linear and Neural Network Approximation," Neural Networks, IEEE - INNS - ENNS International Joint Conference on, vol. 1, pp. 1277, IEEE-INNS-ENNS International Joint Conference on Neural Networks (IJCNN'00)-Volume 1, 2000.

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	@article{ 10.1109/IJCNN.2000.857848, author = {Vera Kurková and Marcello Sanguineti}, title = {Comparison of Rates of Linear and Neural Network Approximation}, journal ={Neural Networks, IEEE - INNS - ENNS International Joint Conference on}, volume = {1}, year = {2000}, issn = {1098-7576}, pages = {1277}, doi = {http://doi.ieeecomputersociety.org/10.1109/IJCNN.2000.857848}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Neural Networks, IEEE - INNS - ENNS International Joint Conference on TI - Comparison of Rates of Linear and Neural Network Approximation SN - 1098-7576 SP EP A1 - Vera Kurková, A1 - Marcello Sanguineti, PY - 2000 KW - linear and neural network approximation KW - Kolmogorov width KW - dimension-independent rates of approximation KW - perceptron networks VL - 1 JA - Neural Networks, IEEE - INNS - ENNS International Joint Conference on ER -

Vera Kurková, Academy of Sciences of the Czech Republic

Marcello Sanguineti, University of Genoa

We develop some mathematical tools for comparison of rates of fixed versus variable basis function approximation. Using these tools, we describe sets of multivariable functions, for which lower bounds on worst-case errors in approximation by n -dimensional linear subspaces are larger than upper bounds on such errors in approximation by perceptron networks with n hidden units.

Index Terms:

linear and neural network approximation, Kolmogorov width, dimension-independent rates of approximation, perceptron networks

Citation:

Vera Kurková, Marcello Sanguineti, "Comparison of Rates of Linear and Neural Network Approximation," ijcnn, vol. 1, pp.1277, IEEE-INNS-ENNS International Joint Conference on Neural Networks (IJCNN'00)-Volume 1, 2000

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