Bounds for approximate solutions of Fredholm integral equations using kernel networks

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Abstract

Approximation of solutions of integral equations by networks with kernel units is investigated theoretically. There are derived upper bounds on speed of decrease of errors in approximation of solutions of Fredholm integral equations by kernel networks with increasing numbers of units. The estimates are obtained for Gaussian and degenerate kernels. © 2011 Springer-Verlag.

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Gnecco, G., Kůrková, V., & Sanguineti, M. (2011). Bounds for approximate solutions of Fredholm integral equations using kernel networks. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6791 LNCS, pp. 126–133). https://doi.org/10.1007/978-3-642-21735-7_16

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