Assessment of semantic smilarity of documents on the basis of the latent semantic analysis with the automatic choice of rank values

The method of assessment of semantic similarity of documents, which is based on the use of the latent and semantic analysis, dynamics of change of singular values of a term-document matrix and automatic determination of a range of rank values, is offered. Assessment of semantic similarity of documents is considered in relation to the solution of problems of identification of duplication and contradictions in databases and storages of data.
A short review of the approaches used at assessment of semantic similarity of documents, identification of duplication and contradictions in databases is provided. Results of numerical examples of assessment of semantic dependences between terms of documents for the benefit of identification of duplication and contradictions in databases and storages of data are given. In this case, the degree of correspondence between the compared documents as the resultant characteristic is calculated.
Comparative estimates of the accuracy of the calculation of the degree of correspondence of $\lambda$ documents with the help of the main methods (cosine proximity measure, vector model, Spearman rank correlation coefficient, static measure tf-idf–frequency of the term–reverse document frequency) are given.
It is shown that application of the offered method of the latent and semantic analysis with automatic detection of a range of rank values allows eliminating dependence of results of application of a method of the latent semantic analysis on the chosen rank.