Geodesic
The probabilities of the clusterization of the complex graphic information in accordance with the topological properties of phase space of dynamical system of the images recognition
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 115 (2007) no. 2, pp. 202-204 
M. I. Boyarkin; I. A. Danilushkin; S. A. Kolpashchikov; A. A. Mironov; A. S. Ryazanov. The probabilities of the clusterization of the complex graphic information in accordance with the topological properties of phase space of dynamical system of the images recognition. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 115 (2007) no. 2, pp. 202-204. http://geodesic.mathdoc.fr/item/VSGTU_2007_115_2_a40/
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     title = {The probabilities of the clusterization of the complex graphic information in accordance with the topological properties of phase space of dynamical system of the images recognition},
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Voir la notice de l'article provenant de la source Math-Net.Ru

We describe the practical probabilities of grouping of the multi-dimensional data used in dynamical images recognition problems by their context belonging to the system domains of attraction. The criteria of belonging are introduced basing on the euclidean definition of distance in the subspace with non-orthonormal basis.

[1] Haken H., Synergetic computers and cognition: A top-down approach to neural nets, Springer Verlag, New York, Inc., 1991 | MR | Zbl

[2] Yudashkin A., “A topological approach to the pattern classification in neural networks”, Proc. of 1996 IEEE Int. Conf. on Neural Networks, V. 3 (Washington, DC, USA, 3–6 June 1996), Washington, 1996, 1484–1487

[3] Yudashkin A. A., “Bifurkatsii statsionarnykh reshenii v sinergeticheskoi neironnoi seti i upravlenie raspoznavaniem obrazov”, Avtomatika i telemekhanika, 1996, no. 11, 139–147 | MR | Zbl

[4] A. Yudashkin, I. Danilushkin, S. Kolpaschikov and other, “Mobile Biometric Person Identification System on the Basis of Pattern Recognition Software and GSM Cellular Networks”, eAdoption and the Knowledge Economy: Issues, Applications, Case Studies, Part 1 (Proc. of eChallenges-2004, Vienna, Austria, 2004), IOS Press, Amsterdam, Berlin, Oxford, Tokyo, Washington, 2004, 102–108

[5] H. Frigui, C. Hwang, F. Chung-Hoon Rhee, “Clustering and aggregation of relational data with applications to image database categorization”, Pattern Recognition, 40:11 (2007), 3053–3068 | DOI | Zbl

[6] Loskutov A. Yu., Mikhailov A. S., Vvedenie v sinergetiku, Ucheb. ruk., Nauka, M., 1990