Gutev, Valentin
Research interests: Set-valued mappings, selections, hyperspaces, absolute extensors and retracts, embedding-like properties, finite-dimensional and infinite-dimensional spaces.
Research interests: Set-valued mappings, selections, hyperspaces, absolute extensors and retracts, embedding-like properties, finite-dimensional and infinite-dimensional spaces.
Type-theoretic approaches to information theory and information processing, Dependent-Type Theory of Situated Information, Type-Theory of Algorithms, Recursion Theory, Computational Syntax, Automata Theory, Computational Semantics, Computational Syntax-Semantics Interface, Computational Linguistics, Type-Theoretic Grammars, Constraint Based Lexicalized Grammar (CBLG), Artificial Intelligence
Pattern Recognition and Classification, Machine Learning, Knowledge Discovery, Computer Vision, Neural Networks, Computer Security, Medical Informatics.
Probability Theory, Mathematical Statistics, Stochastic Processes and Applications, Branching Random Processes, and Applications.
Discrete optimization, Optimization graph theory
Geometry of Banach spaces and related aspects of approximation theory, topology, probability theory, descriptive set and function theory.
Algebra.
Semi-infinite and vector optimization. Convex analysis.
Nonlinear functional analysis, critical points theory, private and ordinary differential equations, differential equations, fractional calculus and differential equations of fractional order.