The main fields of IMI activities:
– Investigation in the probability theory and mathematical statistics, finance and actuarial mathematics, differential equations and numerical methods for their solution, mathematical logic, complexity of algorithms and discrete mathematics
– Investigation of recognition processes, data analysis, multi-modal optimisation problems, problems of multimedia technologies and interactive systems
– Research of theoretical and methodical fundamentals of informatics, problems of information and communication technologies in education, computer networks and software engineering methods and application in the creation of new information technologies; cultural heritage in digital space
– Publishing of the International journals "Informatica", "Lithuanian Mathematical Journal", "Mathematical Modelling and Analysis" (all included into the ISI "Web of Science"), "Nonlinear Analysis. Modelling and Control", "Informatics in Education", "Olympiads in Informatics"
The most successful directions of IMI research:
– Analysis of rough functions, applications to finance
– Asymptotic analysis of statistics
– Automated reasoning methods for knowledge and agent-based logics
– Econometric models of time series and statistical inferences
– Integration of statistical and neural approaches to design pattern recognition algorithms
– Ontology-based engineering of component applications, information systems and business systems
– Relationships between complexity of pattern recognition algorithms, amount of training data and algorithms' performance, and utilizations of this knowledge while solving real-world problems
