caa a22 4500 475801075 CHVBK 20180406123737.0 cr unu---uuuuu 170329e20000601xx s 000 0 eng 10.1023/A:1009607425536 doi (NATIONALLICENCE)springer-10.1023/A:1009607425536 A Comparison between the Tikhonov and the Bayesian Approaches to Calculate Regularisation Matrices [Elektronische Daten] [Andreu Català, Cecilio Angulo] Regularisation is a well-known technique for working with ill-posed and ill-conditioned problems that have been explored in a variety of different areas, including Bayesian inference, functional analysis, optimisation, numerical analysis and connectionist systems. In this paper we present the equivalence between the Bayesian approach to the regularisation theory and the Tikhonov regularisation into the function approximation theory framework, when radial basis functions networks are employed. This equivalence can be used to avoid expensive calculations when regularisation techniques are employed. Kluwer Academic Publishers, 2000 Bayesian inference nationallicence ill-posed problems nationallicence neural networks nationallicence RBF nationallicence regularization techniques nationallicence smoothing functions nationallicence Català Andreu Department of Systems Engineering (ESAII), Polytechnic University of Catalonia. EUPVG, Av. Víctor Balaguer, s/n, 08800, Vilanova i la Geltru´, Spain aut Angulo Cecilio Department of Systems Engineering (ESAII), Polytechnic University of Catalonia, Building U, Campus South, c. Pau Gargallo, 5, 08028, Barcelona, Spain aut Neural Processing Letters Kluwer Academic Publishers 11/3(2000-06-01), 185-195 1370-4621 11:3<185 2000 11 11063 https://doi.org/10.1023/A:1009607425536 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1009607425536 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Català Andreu Department of Systems Engineering (ESAII), Polytechnic University of Catalonia. EUPVG, Av. Víctor Balaguer, s/n, 08800, Vilanova i la Geltru´, Spain aut NATIONALLICENCE 700 1- Angulo Cecilio Department of Systems Engineering (ESAII), Polytechnic University of Catalonia, Building U, Campus South, c. Pau Gargallo, 5, 08028, Barcelona, Spain aut NATIONALLICENCE 773 0- Neural Processing Letters Kluwer Academic Publishers 11/3(2000-06-01), 185-195 1370-4621 11:3<185 2000 11 11063 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer