Pseudoinverse in clustering problems

Authors:
N. F. Kirichenko;V. S. Donchenko
Affiliations:
V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine;Taras Shevchenko National University, Kyiv, Ukraine
Venue:
Cybernetics and Systems Analysis
Year:
2007

Citing 3
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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.