Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-04-84-83
DOI: https://dx.doi.org/10.15863/TAS.2020.04.84.83
Language: Russian
Citation: Zhanatauov, S. U. (2020). Modeling of redundancy -canonical variables with various dispersions. ISJ Theoretical & Applied Science, 04 (84), 475-492. Soi: http://s-o-i.org/1.1/TAS-04-84-83 Doi: https://dx.doi.org/10.15863/TAS.2020.04.84.83 |
Pages: 475-492
Published: 30.04.2020
Abstract: The problem is solved in the article: for the given 5 matrices of eigenvectors of different dimensions (they were calculated using real data [6-10]), find 2 matrices A+qp, B +pp of eigenvectors containing all indicators from 5 matrices of eigenvectors Cnn [2- 6], the diagonal matrix ? + pp=diag (?+1, ...,?+p), ? +1>...>?+p> 0, ?+1+ ... +?+p=p,q+p =n, p?q for the matrices A +qp, B+pp, 2 matrices Ump and Vmp of the values of bi-orthogonal semantic excess-canonical variables with different variances: (1/m)UTU =?pp,(1/m)VTV =?pp,(1 /m)UTV=?+2pp=diag (?+21, ..., ? +2p),?+21>...>?+ 2p>0. It is necessary to find the values of the elements of 2 model submatrices Zmq, Zmp matrix Zmn= [Zmq(Zmp], consisting of m = 44 values of n =6 +6 = 12 z-variables.
Key words: reasonable redundancy -canonical variables, knowledge indicators.
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