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Fundamental and applied bases for the construction of methods and integrated systems for high-performance data processing and transmission, invariant to the architecture and current configuration of computing systems and computer networks, the used standards of data transfer, the size of transmitted traffic and its content, including increased level of information security.

Fundamental-academic research in the field of applied probabilistic analysis of complex systems, creation of methods of nonparametric statistics and identification of dynamic systems, as well as methods of mathematical modeling;

Fundamental and applied principles of building methods, algorithms, systems, technologies of high-performance intellectual processing, analysis and visualization of extra-large amounts of data with applications to the tasks of industrial analytics, biomedicine, social media analysis, etc., including the use of virtual and augmented reality technologies.