@incollection{eprints1696, note = {Proceedings of the 21st International Conference on Artificial Neural Networks (ICANN 2011)held in Espoo, Finland, June 14th-17th, 2011}, series = {Lecture Notes in Computer Science}, number = {6791}, publisher = {Springer}, author = {Giorgio Gnecco and V{\v e}ra K{\r u}rkov{\'a} and Marcello Sanguineti}, title = {Bounds for Approximate Solutions of Fredholm Integral Equations Using Kernel Networks}, booktitle = {Artificial Neural Networks and Machine Learning ? ICANN 2011}, year = {2011}, pages = {126--133}, url = {http://eprints.imtlucca.it/1696/}, 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.}, keywords = {Radial and kernel networks; approximation of solutions of integral equations by kernel networks; model complexity} }