On Dimension-Independent Approximation by Neural Networks and Linear Approximators

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http://doi.ieeecomputersociety.org/10.1109/IJCNN.2000.857849

IEEE-INNS-ENNS International Joint Co ...

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	Saverio Giulini, Marcello Sanguineti, "On Dimension-Independent Approximation by Neural Networks and Linear Approximators," Neural Networks, IEEE - INNS - ENNS International Joint Conference on, vol. 1, pp. 1283, IEEE-INNS-ENNS International Joint Conference on Neural Networks (IJCNN'00)-Volume 1, 2000.

	BibTex	x
	@article{ 10.1109/IJCNN.2000.857849, author = {Saverio Giulini and Marcello Sanguineti}, title = {On Dimension-Independent Approximation by Neural Networks and Linear Approximators}, journal ={Neural Networks, IEEE - INNS - ENNS International Joint Conference on}, volume = {1}, year = {2000}, issn = {1098-7576}, pages = {1283}, doi = {http://doi.ieeecomputersociety.org/10.1109/IJCNN.2000.857849}, 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 - On Dimension-Independent Approximation by Neural Networks and Linear Approximators SN - 1098-7576 SP EP A1 - Saverio Giulini, A1 - Marcello Sanguineti, PY - 2000 KW - dimension-independent approximation KW - neural networks KW - complexity KW - Kolmogorov n-width VL - 1 JA - Neural Networks, IEEE - INNS - ENNS International Joint Conference on ER -

Saverio Giulini, University of Genoa

Marcello Sanguineti, University of Genoa

Sets of multivariable functions that can be approximated with “dimension-independent” rates either by linear approximators or by neural networks having various types of computational units are compared. Exhibiting families of functions belonging to suitable difference sets make the comparison.

Index Terms:

dimension-independent approximation, neural networks, complexity, Kolmogorov n-width

Citation:

Saverio Giulini, Marcello Sanguineti, "On Dimension-Independent Approximation by Neural Networks and Linear Approximators," ijcnn, vol. 1, pp.1283, IEEE-INNS-ENNS International Joint Conference on Neural Networks (IJCNN'00)-Volume 1, 2000

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