In any data mining applications, automated text and text and image retrieval of information is needed. This becomes essential with the growth of the Internet and digital libraries. Our approach is based on the latent semantic indexing (LSI) and the corresponding term-by-document matrix suggested...

Derivation of a general “distance-from-randomness” index for time series scaling with the relative complexity of an unknown generating system is presented. This index (SVSEn) corresponds to the Shannon entropy of the distribution of the eigenvalues of the correlation matrix derived by the...

We propose a new approach which generalizes and improves principal component analysis (PCA) and its recent advances. The approach is based on the following underlying ideas. PCA can be reformulated as a technique which provides the best linear estimator of the fixed rank for random vectors. By...

In this paper, we develop methods of the determination of the rank of random matrix. Using the matrix perturbation theory to construct or find a suitable bases of the kernel (null space) of the matrix and to determine the limiting distribution of the estimator of the smallest singular values. We...

In this paper, we propose methods of the determination of the rank of matrix. We consider a rank test for an unobserved matrix for which an estimate exists having normal asymptotic distribution of order N1/2 where N is the sample size. The test statistic is based on the smallest estimated...

This paper discusses and verifies effectiveness about the Fuzzy Adaptive GMDH applied the concept of the fuzzy set to the identification process of the adaptive GMDH (Group Method of Data Handling) as the modeling a complex system. The adaptive GMDH [1] is enhancing ability of basic GMDH [2] and...