The paper considers the synthesis of signal classification systems using the theory of perturbation of pseudoreverse and projection matrices and proposes an algorithm to select (filter) separable subsets on a finite point set from R n.
Similar content being viewed by others
References
N. F. Kirichenko, Yu. G. Krivonos, and N. P. Lepekha, “Optimization of the synthesis of hyperplane clusters and neurofunctional transforms in signal classification systems,” Cybern. Syst. Analysis, 44, No. 6, 832–839 (2008).
N. F. Kirichenko, Yu. G. Krivonos, and N. P. Lepekha, “Synthesis of systems of neurofunctional transformations in classification problems,” Cybern. Syst. Analysis, 43, No. 3, 353–361 (2007).
N. F. Kirichenko and V. S. Donchenko, “Pseudoinverse in clustering problems,” Cybern. Syst. Analysis, 43, No. 4, 527–541 (2007).
N. F. Kirichenko, Yu. V. Krak, and A. A. Polishchuk, “Pseudoinverse and projection matrices in problems of synthesis of functional transformers,” Cybern. Syst. Analysis, 40, No. 3, 407–419 (2004).
A. P. Verchenko, N. F. Kirichenko, and N. P. Lepekha, “Application of recurrent means of clusterization to image segmentation,” J. Control Inform. Sci., 37, Issue 3, 52–59 (2005).
N. F. Kirichenko, “Analytical representation of perturbations of pseudoinverse matrices,” Cybern. Syst. Analysis, 33, No. 2, 230–238 (1997).
N. F. Kirichenko and N. P. Lepekha, “Application of pseudoinverse and projective matrices to studying control, observation, and identification problems,” Cybern. Syst. Analysis, 38, No. 4, 568–587 (2002).
T. Kohonen, Self-Organizing Maps, Springer, Berlin (2001).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 124–134, July–August 2009.
Rights and permissions
About this article
Cite this article
Kirichenko, N.F., Kudin, G.I. Analysis and synthesis of signal classification systems by perturbing pseudoinverse and projection operations. Cybern Syst Anal 45, 613–622 (2009). https://doi.org/10.1007/s10559-009-9129-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10559-009-9129-x