Abstract—We show a method for approximating a discriminant function with a cylindrical surface in classification and image recognition problems by sequential approximations to the zero of the discriminant function (cylinder’s directrix) with weighted least squares. This approach improves the efficiency of decision rules. We show characteristic examples.

The global warming leads the situation in the Barents Sea to important consequences, such as easier process of oil and gas drilling. As a result, it may raise the discussions on disputed shelf zones with fossil fuels’ deposits, especially near to Norway-Russia sea border. We construct a model, which highlights potentially disputed territories, analyzes preferences of the countries interested in different types of resources.

We analyze the cluster structure in large networks by means of clusters of exceedances regarding the influence characteristics of nodes. As the latter characteristics we use PageRank and the Max-Linear model and compare their distributions and dependence structure. Due to the heaviness of tail and dependence of PageRank and Max-Linear model observations, the influence indices appear by clusters or conglomerates of nodes grouped around influential nodes. The mean size of such clusters is determined by a so called extremal index. It is related to the tail index that indicates the heaviness of the distribution tail. We consider graphs of Web pages and partition them into clusters of nodes by their influence.

In this paper we investigate what factors lead to phonetic and articulatory uncertainty in Russian word pronunciation. We evaluate how these factors influence quality of visual speech recognition.

The possibility of determining the characteristics of survival in a population consisting of an unknown number of homogeneous groups is investigated. According to real data on culling from the herd for 1500 cows of the Kholmogory breed and averaged real data on culling for 120,000 Brown Swiss cows, vulnerability assessments in subpopulations differing in the average length of productive life and the relative number of these subpopulations have been obtained.