eprintid: 1696 rev_number: 8 eprint_status: archive userid: 46 dir: disk0/00/00/16/96 datestamp: 2013-09-12 11:06:41 lastmod: 2013-09-16 12:03:00 status_changed: 2013-09-12 11:06:41 type: book_section metadata_visibility: show creators_name: Gnecco, Giorgio creators_name: Kůrková, Věra creators_name: Sanguineti, Marcello creators_id: giorgio.gnecco@imtlucca.it creators_id: creators_id: title: Bounds for Approximate Solutions of Fredholm Integral Equations Using Kernel Networks ispublished: pub subjects: QA75 divisions: CSA full_text_status: none keywords: Radial and kernel networks; approximation of solutions of integral equations by kernel networks; model complexity note: Proceedings of the 21st International Conference on Artificial Neural Networks (ICANN 2011)held in Espoo, Finland, June 14th-17th, 2011 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. date: 2011 date_type: published series: Lecture Notes in Computer Science number: 6791 publisher: Springer pagerange: 126-133 id_number: 10.1007/978-3-642-21735-7_16 refereed: TRUE isbn: 978-3-642-21734-0 book_title: Artificial Neural Networks and Machine Learning – ICANN 2011 official_url: http://dx.doi.org/10.1007/978-3-642-21735-7_16 citation: Gnecco, Giorgio and Kůrková, Věra and Sanguineti, Marcello Bounds for Approximate Solutions of Fredholm Integral Equations Using Kernel Networks. In: Artificial Neural Networks and Machine Learning – ICANN 2011. Lecture Notes in Computer Science (6791). Springer, pp. 126-133. ISBN 978-3-642-21734-0 (2011)