Pseudoinverse in clustering problems |
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| Authors: | N F Kirichenko V S Donchenko |
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| Affiliation: | (1) V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine;(2) Taras Shevchenko National University, Kyiv, Ukraine |
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| Abstract: | The clustering of vector observations of hyperplanes is studied. Different cases of correspondence distances are proposed
and investigated, including the algebraic Jack Knife one. The efficiency, constructivity, and explicit form of formulas are
provided by using the pseudoinverse technique including the pseudoinverse-perturbation theory. Results important for the application
of pseudoinverse and related operators are presented.
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Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 73–92, July–August 2007. |
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| Keywords: | Moore-Penrose pseudoinverse singular value decomposition (SVD) orthogonal projectors pseudoinverse of perturbations of matrices clustering hyperplane clustering |
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