The notion of N-density for relational structures

The intention of this paper is to extend classical results concerning the relationships between K- and N-density to their generalizations and modifications in the framework of the class of relational structures with distinct, irreflexive relations on countable sets of systems events.

A combined approach to part-of-speech homonymy resolution

The Russian language has an inflective structure and does not have a strict word order, which generates processing problems such as part-of-speech homonymy. The paper addresses this issue. The existing approaches to resolving the morphological homonymy problem can be divided into the following…

Forecasting the transport network development based on statistical analysis in the MIX-PROSTOR system

We are considering the problem of the analysis of transport network development in the MIX-PROSTOR system. The “what-if” analysis allows for setting some variations of the network parameters and calculating their consequences. In a sense, we are trying to solve the inverse problem: what ranges of…

Analysis of noise stability of strip-transformation

In the paper, variations of the strip-method are investigated. Namely, we considered variants based on using different matrices: Hadamard, Haar, Frobenius, S-matrices, etc. These variants of the strip-method were implemented. The main purpose is to study the quality of restoration of one-dimensional…

Graph quotients: a topological approach to graphs

This paper develops general concepts useful for extracting knowledge embedded in large graphs or datasets that have pair-wise relationships, such as relations of cause-effect type. Almost no underlying assumptions are made, other than that the data can be presented in terms of pair-wise…