Complexity of Gaussian-Radial-Basis Networks Approximating Smooth Functions

0315078 - ÚI 2009 RIV US eng J - Článek v odborném periodiku
Kainen, P.C. - Kůrková, Věra - Sanguineti, M.
Complexity of Gaussian-Radial-Basis Networks Approximating Smooth Functions.
[Složitost Gaussovských radiálních sítí.]
Journal of Complexity. Roč. 25, č. 1 (2009), s. 63-74. ISSN 0885-064X. E-ISSN 1090-2708
Grant CEP: GA ČR GA201/08/1744
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: Gaussian-radial-basis-function networks * rates of approximation * model complexity * variation norms * Bessel and Sobolev norms * tractability of approximation
Kód oboru RIV: IN - Informatika
Impakt faktor: 1.227, rok: 2009

Citováno: 12

--- DECHERCHI, S. - PARODI, M. - RIDELLA, S. A Neural Model Approach for Regularization in the Mean Estimation Case. 2010 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS IJCNN 2010. ISSN 1098-7576, 2010. [WOS]
--- XIE, T.F. - CAO, F.L. The rate of approximation of Gaussian radial basis neural networks in continuous function space. ACTA MATHEMATICA SINICA-ENGLISH SERIES. ISSN 1439-8516, FEB 2013, vol. 29, no. 2, p. 295-302. [WOS]
--- CHEN, Z.X. - CAO, F.L. - HU, J.J. Error estimates of quasi-interpolation and its derivatives. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, JUL 2012, vol. 236, no. 13, p. 3137-3146. [WOS]
--- CHEN, Z.X. - CAO, F.L. The construction and approximation of neural networks operators with Gaussian activation function. MATHEMATICAL COMMUNICATIONS. ISSN 1331-0623, MAY 2013, vol. 18, no. 1, p. 185-207. [WOS]
--- BAZAN, M. - SKUBALSKA-RAFAJLOWICZ, E. A New Method of Centers Location in Gaussian RBF Interpolation Networks. ARTIFICIAL INTELLIGENCE AND SOFT COMPUTING, PT I. ISSN 0302-9743, 2013, vol. 7894, p. 20-31. [WOS]
--- ROUHANI, M. - JAVAN, D.S. Two fast and accurate heuristic RBF learning rules for data classification. NEURAL NETWORKS. ISSN 0893-6080, MAR 2016, vol. 75, p. 150-161. [WOS]
--- VIDNEROVA, P. - NERUDA, R. Sensor Data Air Pollution Prediction by Kernel Models. 2016 16TH IEEE/ACM INTERNATIONAL SYMPOSIUM ON CLUSTER, CLOUD AND GRID COMPUTING (CCGRID). ISSN 2376-4414, 2016, p. 666-673. [WOS]
--- LEI, Y.W. - DING, L.X. - ZHANG, W.S. Generalization Performance of Radial Basis Function Networks. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS. ISSN 2162-237X, MAR 2015, vol. 26, no. 3, p. 551-564. [WOS]
--- VIDNEROVA, P. - NERUDA, R. Product Multi-kernels for Sensor Data Analysis. ARTIFICIAL INTELLIGENCE AND SOFT COMPUTING, PT I. ISSN 0302-9743, 2015, vol. 9119, p. 123-133. [WOS]
--- ROZENBLIT, O. - HADDAD, Y. - MIRSKY, Y. - AZOULAY, R. Machine learning methods for SIR prediction in cellular networks. PHYSICAL COMMUNICATION. ISSN 1874-4907, DEC 2018, vol. 31, p. 239-253. [WOS]
--- MIRSKY, Y. - HADDAD, Y. - ROZENBLIT, O. - AZOULAY, R. Predicting Wireless Coverage Maps Using Radial Basis Networks. 2018 15TH IEEE ANNUAL CONSUMER COMMUNICATIONS & NETWORKING CONFERENCE (CCNC). ISSN 2331-9852, 2018. [WOS]
--- COSTARELLI, D. - SAMBUCINI, A.R. - VINTI, G. Convergence in Orlicz spaces by means of the multivariate max-product neural network operators of the Kantorovich type and applications. NEURAL COMPUTING & APPLICATIONS. ISSN 0941-0643, SEP 2019, vol. 31, no. 9, SI, p. 5069-5078. [WOS]

Trvalý link: http://hdl.handle.net/11104/0165396