By Yoichi Hayashi (auth.), Leszek Rutkowski, Marcin Korytkowski, Rafał Scherer, Ryszard Tadeusiewicz, Lotfi A. Zadeh, Jacek M. Zurada (eds.)
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5 46 52 1 Fig. 6. f. ). Right) The design obtained by our optimization algorithm started from the Hilbert space-ﬁlling curve based conﬁguration. Both designs are plotted together with isolines of the squared power function. 6 Conclusions We have presented a scheme of using constrained non-linear programming to calculate the optimal conﬁgurations of centers for a radial basis interpolation process. From eight designs obtained by the proposed optimization algorithm seven conﬁgurations give objective function values lower than that generated as an initial conﬁguration by DMSW algorithm .
The new conﬁguration decreases the Runge phenomenon compared to the conﬁguration obtained by DMSW algorithm . 5 1 Fig. 1. 5 1 Fig. 2. 2 27 Two Dimensional Example In this section we present the performance of the proposed design optimization algorithm launched from 5 randomly generated points forming a Latin hypercube , one optimization started from a Sierpi´ nski ﬁlling curve conﬁguration of centers , another one started from a Hilbert ﬁlling curve conﬁguration of centers  and one optimization started from the quasi-optimal conﬁguration of centers generated by DMSW algorithm .
Sampling multidimensional signals by a new class of quasi-random sequences. Multidimensional System and Signal Processing 23, 237–253 (2012) 40. : Scattered Data Approximation. Cambridge University Press (2005) 41. : Local error estimates for radial basis function interpolation of scattered data. IMA J. Numer. Anal. pl Abstract. This paper presents the parallel architecture of the Jordan network learning algorithm. The proposed solution is based on the high parallel three dimensional structures to speed up learning performance.
Artificial Intelligence and Soft Computing: 12th International Conference, ICAISC 2013, Zakopane, Poland, June 9-13, 2013, Proceedings, Part I by Yoichi Hayashi (auth.), Leszek Rutkowski, Marcin Korytkowski, Rafał Scherer, Ryszard Tadeusiewicz, Lotfi A. Zadeh, Jacek M. Zurada (eds.)