Faculty of Mathematics and Informatics

Sukurta: 28 May 2021

mif 24 Naugarduko, LT-03225 Vilnius
47 Didlaukios, LT-08303 Vilnius
4 Akademijos, LT-08412 Vilnius
Tel. 219 3050
Dean 鈥� Prof. Dr. Paulius Drungilas

STAFF

146 teachers (incl. 95 holding research degree), 60 research fellows (incl. 47 holding research degree), 78 doctoral students.

DEPARTMENTS OF THE FACULTY

Institute of Data Science and Digital Technologies
Institute of Computer Science
Institute of Mathematics
Institute of Applied Mathematics

RESEARCH AREAS

Integrated Development of Mathematics, Informatics and Information Technologies for the Knowledge Society Advanced Products and Services
Informatics
Informatics Engineering
Fundamental Mathematics
Applied Mathematics
Fundamental Mathematics: Number Theory, Probability Theory and Stochastic Analysis, Risk Theory, Theory of Differential Equations, Functional Analysis
Applied Mathematics: Methods of Mathematical Statistics, Mathematical Modelling, Finance and Insurance Mathematics, Modern Elementary Mathematics and Didactics, Econometrics, Time Series Analysis

DOCTORAL DISSERTATIONS MAINTAINED IN 2020

J. Vai膷iulyt臈. Study and application of hidden Markov models to online analysis of multivariate sequence data.
R. Kriauzien臈. Parallel algorithms for non-classical problems with big computational costs.
A. Buteikis. Multivariate copula-based integer-valued time series models: theory and applications.
L. Petkevi膷ius. Numerical and symbolic modeling of reaction-diffusion processes in bioreactors.
A. V. Misiukas Misi奴nas. Investigation of automatic EEG analysis algorithms.

MAIN CONFERENCES ORGANIZED IN 2020

61th Conference of the Lithuanian Mathematical Society, December 4, 2020, 艩iauliai University (remotely)

Working Group meeting of COST Action CA15140 Improving Applicability of Nature-Inspired Optimisation by Joining Theory and Practice, February 17鈥�18, 2020, Vilnius, Lithuania
National Seminar on development and adaptation of International Challenge on Informatics and Computational Thinking 鈥淏ebras鈥� tasks, September 4 鈥� 6, 2020, Druskininkai, Lithuania

MAIN SCIENTIFIC ACHIEVEMENTS IN 2020

A methodology, based on finite element modelling and Voronoi tessellation concept, was proposed for identi铿乧ation and characterization of protein pores clusters in phospholipid bilayer membranes.

A framework for competence development during cyber defence exercises was developed.

Outliers identification tests for statistical data were proposed.

INSTITUTE OF DATA SCIENCE AND DIGITAL TECHNOLOGIES

mii

4 Akademijos, LT-08412 Vilnius
Tel. 210 9300
E-mail:

Director 鈥� Prof. Dr Habil. Gintautas Dzemyda

SUBDIVISIONS OF THE INSTITUTE

Blockchain Technologies Group
Cognitive Computing Group
Cyber-Social Systems Engineering Group
Education Systems Group
Global Optimization Group
Image and Signal Analysis Group
Intelligent Technologies Research Group
Statistics and Probability Group
Artificial Intelligence Laboratory

RESEARCH AREAS

Integrated Development of Mathematics, Informatics and Information Technologies for the Knowledge Society Advanced Products and Services

BLOCKCHAIN TECHNOLOGIES GROUP

4 Akademijos, LT-08663 Vilnius
Tel. 219 3299
E-mail:
Head 鈥� Dr Remigijus Paulavi膷ius

STAFF

Senior researchers: Dr Remigijus Paulavi膷ius, Dr Ernestas Filatovas, Dr Viktor Medvedev, Dr Algirdas Lan膷inskas (project implementer, until 31 March 2020).
Lecturer: Dr Aleksandr Igumenov.
Research assistant: Linas Stripinis.
Doctoral students: Vaidas Jusevi膷ius, Andrius Adamonis, Saulius Grigaitis, Jaroslava Arsenjeva, Rytis Bieliauskas, Arnoldas Bud啪ys.

RESEARCH INTERESTS

Blockchain technologies
Global optimization
Optimization software
Multi-objective optimization
High-performance computing
Artificial Intelligence
Image processing
Big data
Data mining
Machine learning

RESEARCH PROJECTS CARRIED OUT IN 2020

Projects Supported by University Budget

National Research Projects

Research Council of Lithuania. Development and Applications of Bilevel Optimization Algorithms (No. P-MIP-17-60). Dr R. Paulavi膷ius. 2017鈥�2020.
Bilevel optimization is important from the practical viewpoint, but efficient bilevel optimization methods still exist only in specific cases. As a result, development of general bilevel optimization methods is particularly relevant and timely. Many practical problems in the economy, engineering, and other fields can be described as bilevel optimization models. However, a plethora of these applications still cannot be solved with existing optimization tools. More importantly, only in the last decade, the first methods to solve general bilevel optimization problems were proposed. Unfortunately, the application of these methods has been mainly demonstrated only on small test instances. In this project, we seek an ambitious goal to develop new and improve existing bilevel optimization algorithms, enabling to solve real practical problems. It is equally important to implement efficient and publicly accessible bilevel optimization software, which would allow solving such problems for a broad range of practitioners. This would have a significant and internationally recognizable contribution to the field of bilevel optimization.
The world's first deterministic solver (BASBL) for general bilevel optimization problems, a new efficient DIRECT-type algorithm with local accelerators for general global optimization problems and a parallel version of the evolutionary GENOCOP III algorithm to solve large-scale radiotherapy planning problems were developed.

Main publications:

Paulavi膷ius, R., Sergeyev, Y. D., Kvasov, D. E., 沤ilinskas, J. Globally-biased BIRECT algorithm with local accelerators for expensive global optimization. Expert Systems with Applications. 2020, 144. DOI: 10.1016/j.eswa.2019.113052.

Paulavi膷ius, R., Gao, J., Kleniati, P.-M., Adjiman C. S. BASBL: Branch-and-sandwich biLevel solver. Implementation and computational study with the BASBLib test set. Computers & Chemical Engineering. 2020, 132. DOI: 10.1016/j.compchemeng.2019.106609.

Filatovas, E., Kurasova, O., L贸pez Redondo, J., Jos茅, F. A reference point-based evolutionary algorithm for approximating regions of interest in multiobjective problems. TOP. 2020, 28(2): 402鈥�423. DOI: 10.1007/s11750-019-00535-z.

Contractual Research

Contract (No. GLG-2019-0306) with UAB Girteka logistics Development of an Efficient Algorithm for Large-Scale Transportation Planning Problem.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Imperial College London (UK)
Universidad de Almer铆a (Spain)
Systems Research Institute, Polish Academy of Sciences (Poland)
UAB Girteka Logistics (Lithuania)
Bank of Lithuania (Lithuania)
Chinese Institute of Electronics (China)

OTHER RESEARCH ACTIVITIES

Dr R. Paulavi膷ius 鈥�

member of the Young Academy of the Lithuanian Academy of Sciences;
affiliate member of European Network of Excellence on High Performance and embedded Architecture and Compilation (HiPEAC), www.hipeac.net;
member of the American Institute of Chemical Engineers (AIChE), www.aiche.org;
member of the Mathematical Optimization Society (MOS),
member of Program/Scientific Committee: LOD2020: The Sixth International Conference on Machine Learning, Optimization, and Data Science, Sienna, Italy, 2020.

Dr E. Filatovas 鈥�

member of International Society on Multiple Criteria Decision Making (MCDM);
member of the Lithuanian Computer Society (LIKS;
member of the the InfoBalt Blockchain Workgroup.

Dr V. Medvedev 鈥�

expert of FP7-ICT Committee (2013);
member of Lithuanian Computer Society,
member of Lithuanian Mathematical Society,
member of SERVICE COMPUTATION 2014-2017 Technical Program Committee;
member of Program/Scientific Committee: International Workshop on Secure Mobile Cloud Computing (IWoSeMC),

Dr A. Igumenov 鈥�

member of the Lithuanian Computer Society (LIKS);
project researcher, EU co-funded project No. 01.1.1-CPVA-V-701-15-0001 鈥濪evelopment of Vilnius STEAM Center鈥� activity 鈥濸reparation of the Methodological Part of STEAM Center activities: Development of Laboratory Descriptors and Integrated Methodologies for Mobile Technology and Visual Programming Laboratory鈥�.

MOST IMPORTANT RECEIVED NATIONAL AND INTERNATIONAL AWARDS FOR R&D ACTIVITIES

L. Stripinis 鈥� Support of PhD students for academic achievements 2019鈥�2020 by the Research Council of Lithuania.

COGNITIVE COMPUTING GROUP

4 Akademijos, LT-08663 Vilnius
Tel. 210 9300
E-mail:
Head 鈥� Prof. Dr Habil. Gintautas Dzemyda

STAFF

Researcher professors: Prof. Dr Habil. Gintautas Dzemyda, Prof. Dr. Olga Kurasova, Prof.
Dr. K臋stutis Du膷inskas, Prof. Dr Audron臈 Jakaitien臈, Dr Rita Dukynait臈. Dr Saul臈 Rai啪ien臈,
Dr Prof. Habil. Rimantas 沤elvys, Prof. Dr Danguol臈 Melnikien臈.
Affiliate researcher: Prof. Dr Habil. Jonas Mockus.
Researcher: Dr Rasa Karbauskait臈.
Research assistants: Dr Martynas Sabaliauskas, Dr Dovil臈 Stumbrien臈, Jogaila Vaitiekaitis,
Dr Igor Katin, 沤ydr奴nas Vai拧noras.
Specialists and engineering staff: Vytautas Tie拧is, Dr. Laura Ringien臈, Laimut臈
Mikalauskien臈, Au拧ra 艩ubonien臈, Jaroslava Arsenjeva.
Postdoctoral researcher: Gerda Ana Melnik-Leroy.
Doctoral students: Viktoras Bulavas, Povilas Gud啪ius, Rokas Gipi拧kis, Marta Karaliut臈,
Nikolaj Kondrat, Ingrida Poc臈, Roma Puronait臈, Ri膷ardas Toliu拧is, 沤ydr奴nas Vai拧noras,
Ramun臈 Vai拧nor臈, Egl臈 Zikarien臈.

RESEARCH INTERESTS

Artificial neural networks
Big data
Bioinformatics
Data mining
Deep learning
Global optimization methods
Multi-objective optimization
Image analysis, feature detection, image reconstruction, medical image processing
Internet data mining
Fractal dimensionality
Local optimization methods
Machine learning
Medical data analysis and decision support
Multiple criteria decision support
Operations research
Optimal control applications
Parallel computing
Simulation models in epidemiology, education, economics, and energy with uncertainty
Statistical simulation
Stochastic programming
Swarm intelligence
Visualization of multidimensional data
Web service development

RESEARCH PROJECTS CARRIED OUT IN 2020

Projects Supported by University Budget

Cognitive Computing Development for Solving the Problems of Data Visualization, Image Analysis, and Decision Making. Prof. Dr Habil. G. Dzemyda, Prof. Dr O. Kurasova. 2020鈥�2022.

The aim of the project is to integrate cognitive computing capabilities into data visualization, image analysis, and multicriteria decision making resulting in the development of a reference point-based evolutionary algorithm for approximating regions of interest in multiobjective problems.
A scientific basis has been developed for the new way of data dimensionality reduction and visualization by multidimensional scaling; new properties of the Geometric Multidimensional scaling have been disclosed.

Main publications:

Filatovas, E., Kurasova, O., L贸pez Redondo, J., Jos茅, F. A reference point-based evolutionary algorithm for approximating regions of interest in multiobjective problems. TOP. 2020, 28(2): 402鈥�423. DOI: 10.1007/s11750-019-00535-z.

Dzemyda, G., Sabaliauskas, M. Geometric multidimensional scaling: A new approach for data dimensionality reduction. Applied Mathematics and Computation. Available online 18 September 2020, 125561.

Stumbrien臈, D., Camanho, A. S., Jakaitien臈, A. The performance of education systems in the light of Europe 2020 strategy. Annals of Operations Research. 2020, 228(2): 577鈥�609. DOI: 10.1007/s10479-019-03329-5.

Geometric Method for Solving the Problem of Multidimensional Scaling No. MSF-LMT-4.
Prof. Dr Habil. G. Dzemyda. 2020鈥�2022.

The main goal of the project is to consider the stress function and multidimensional scaling, in general, the geometric point of view, and to develop the so-called Geometric MDS that creates a basis for a new class of algorithms to minimize the MDS stress.
The main result is the new interpretation of the stress allowing to find the proper step size, and
The descent direction forwards the minimum of the stress function analytically if we consider and move a separate point of the projected space.

Main publications:

Dzemyda, G., Sabaliauskas, M. Geometric multidimensional scaling: A new approach
for data dimensionality reduction. Applied Mathematics and Computation. Available online 18
September 2020, 125561.

Sabaliauskas, M., Dzemyda, G. Visual analysis of multidimensional scaling using GeoGebra. In: Dzitac I., Dzitac S., Filip F., Kacprzyk J., Manolescu MJ., Oros H. (Eds.), Intelligent Methods in Computing, Communications and Control. ICCCC 2020. Advances in Intelligent Systems and Computing. 2020, 1243: 179鈥�187.

National Research Projects

Research Council of Lithuania. Effectiveness and Efficiency Analysis of Education Systems in EU Countries Employing Secondary Big Data (EFECTAS) (No. DOTSUT-39 (09.3.3-LMT-K-712-01-0018) / LSS-250000-57). Dr A. Jakaitien臈. 2018鈥�2022.

The main idea of the project is to assess the factors influencing the effectiveness and efficiency of the EU education systems, to develop effectiveness and efficiency measuring instruments in order to implement sound evidence-based educational policy.

School leadership and educational effectiveness in Lithuania were analysed in 2019 as well as teaching practices and students鈥� performance in science across EU countries using PISA 2015 data. In addition, Lithuanian population database for maturity examinations and 10th grade national assessments for mathematics and Lithuanian language were developed.

Main publications:

沤elvys, R., Dukynait臈, R., Vaitekaitis, J., Jakaitien臈, A. Transformation educational goals into performance indicators in Lithuanian and international education policy. Acta Paedagogica Vilnensia. 2020, 44: 18鈥�33. DOI: 10.15388/ActPaed.44.2.

Stumbrien臈, D., Camanho, A. S., Jakaitien臈, A. The performance of education systems in the light of Europe 2020 strategy. Annals of Operations Research. 2020, 228(2): 577鈥�609. DOI: 10.1007/s10479-019-03329-5.

Research Council of Lithuania. The Influence of Pandemic Stress on Consumer Decision Making - a Cognitive Analysis and Prognosis for Lituanian Economy (No. P-COV-20-53). Dr G. A. Melnik-Leroy. 2020.

We empirically examine how the objective changes in the financial situation of Lithuanian citizens and the experienced pandemic-induced stress affect their intentions to consume and their planned household expenses. Based on data from an online survey (N=1200) and on longitudinal consumption data, we made prognoses on the consumption of specific goods for three hypothetical Covid-19 development scenarios. Second, using k-mode clustering we provide the first typology of Covid-era consumers.

Results show that different groups of consumers adopt different strategies for the three pandemic development scenarios to cope with the economic and emotional hardship. Importantly, we found that the obtained groups are economically and socially heterogeneous, and the experienced stress and feeling of financial distress were important factors, determining their spending tendencies.

International Research Projects

COST action Open Multiscale Systems Medicine CA15120. Member of Managing Committee Dr J. Bernatavi膷ien臈. 2016鈥�2020,

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

University of Almeria (Spain)
University College London (UK)
Bar-Ilan University (Israel)
University of Ferrara (Italy)
Southwestern University of Finance and Economics (China)
Belarus State University (Belorussia)
University of Calabria (Italy)
National Cancer Institute of Lithuania (Lithuania)
Hospital of Lithuanian University of Health Sciences Kauno klinikos (Lithuania)
Maribor University (Slovenia)

OTHER RESEARCH ACTIVITIES

Prof. Dr Habil. G. Dzemyda 鈥�

member of Lithuanian Academy of Science, ,
member of programme committees of the following International conferences:
o 8th International Conference on Computers Communications and Control (ICCCC), Agora University of Oradea, Oradea, Romania,
o International Conference on Sensor Networks (SENSORNET 2020),
o 14th International Baltic Conference on Databases and Information Systems (Baltic DB&IS 2020);
chairman of the Annual International Workshop 鈥濪ata Analysis Methods for Software Systems鈥�, Druskininkai, Lithuania,
editor-in-Chief of Baltic Journal of Modern Computing and the International Journal Informatica (IOSPress/VU),
editorial board member of 9 international journals: Financial Innovation, International Journal of Computers, Communications and Control, Applied Computer Systems, Informatics in Education, Journal of Civil Engineering and Management, Nonlinear Analysis: Modelling and Control, Mathematics and Informatics, Journal of the Belarusian State University, Scientific Proceedings of Riga Technical University. Computer Science, Information Technology and Management Science;
member of IFIP Technical Committee 12 Artificial Intelligence,
member of Lithuanian Computer Society,
member of Lithuanian Mathematical Society,
member of Lithuanian Operational Research Society,

Prof. Dr Habil. J. Mockus 鈥�

member of the Lithuanian Academy of Sciences,
member of American Mathematical Society,

Prof. Dr O. Kurasova 鈥�

member of editorial boards of international journals: Nonlinear Analysis: Modelling and Control, , Baltic Journal of Modern Computing, , Computational Science and Techniques, , Informatics,
member of Council of Lithuanian Computer Society,
member of Lithuanian Mathematical Society,
member of Lithuanian Operational Research Society,

Prof. Dr A. Jakaitien臈 鈥�

member of Lithuanian Mathematical Society,
board member of Lithuanian Statistics Society,
member of International Biometric Association,
country representative of International Biometric Association in Nord Baltic Region,
member of International Epidemiological Association;
country representative at European Statistical Advisory Committee,

Dr R. Karbauskait臈 鈥�

managing editor of Informatica (IOSPress/VU),

CYBER-SOCIAL SYSTEMS ENGINEERING GROUP

4 Akademijos, LT-08663 Vilnius
Tel. 210 9306
E-mail:
www: Head 鈥� Prof. Dr Saulius Gudas

STAFF

Research professor: Prof. Dr Saulius Gudas.
Senior researcher: Prof. Dr Dal臈 Dzemydien臈.
Researchers: Dr Romas Alonderis, Assoc. Prof. Dr Audron臈 Lupeikien臈, Dr Saulius Maskeli奴nas.
Research assistants: Dr Jolanta Miliauskait臈, Ar奴nas Miliauskas.
Teaching assistant: Dr Asta Slotkein臈.
Assistant researcher: Laima Paliulionien臈.
Specialist: Prof. Dr Olegas Vasilecas.
Afilliated professor: Prof. Dr Albertas 膶aplinskas.
Affiliated researchers: Prof. Dr Habil. Stasys Jukna, Assoc. Prof. Dr Habil. Regimantas Pliu拧kevi膷ius, Assoc. Prof. Dr Aida Pliu拧kevi膷ien臈.
Doctoral students: Mindaugas Jusis, Vytautas Radzevi膷ius, Aleksandr 艩iraliov, Karolis Noreika.

RESEARCH INTERESTS

Causality research in enterprise software engineering:
- Foundations of causality-based enterprise software engineering
- Integration of causal models in the MDA / MDD process
- Integration of causal models in business process and enterprise modeling
Mathematical logic:
- Automated deduction
- Knowledge analysis methods
- Deductive systems

RESEARCH PROJECTS CARRIED OUT IN 2020

Projects Supported by University Budget

Engineering Research in Cyber-Social (Enterprise) Systems. Development of Methods and Technologies at the Intersection of Cyber-Physical and Cyber-Social Systems.
Prof. Dr S. Gudas (leader), Dr R. Alonderis, Prof. Dr D. Dzemydien臈, Assoc. Prof. Dr A. Lupeikien臈, Dr S. Maskeli奴nas, Dr J. Miliauskait臈, L. Paliulionien臈, Prof. Dr O. Vasilecas, Affil. Prof. Dr A. 膶aplinskas, Affil. Assoc. Prof. Dr Habil. R. Pliu拧kevi膷ius, Affil. Assoc. Prof. Dr A. Pliu拧kevi膷ien臈, Affil. Dr Habil. S. Jukna, doctoral students M. Jusis, V. Radzevi膷ius, A. 艩iraliov, K. Noreika. 2018鈥�2020.

In 2020, domain causality modelling was applied: modified MDA / MDD process by adding a layer of causal models next to traditional (CIM, PIM, PSM) layers, a method and technology (prototype) for evaluating the interoperability of applications was developed, the method of domain causal modeling is included in the research project: LMT research group project application (CAUSATEX), topic: 鈥淚ntegration of causal models in application engineering methods and tools鈥� (evaluation stage).
The study of the efficiency of the sea container loading synchronization method was performed. Architecture of multilayer systems of e-services for monitoring of environment data was developed. A general framework of membership function construction was developed, a detailed example of the construction by modeling service quality characteristics was provided. A complete and sound cyclic sequent calculus for common knowledge logic was constructed. Based on the calculus, a decidability procedure for the mentioned logic was presented.

Main publications:

Gudas, S., Valatavi膷ius, A. Extending model-driven development process with causal modeling approach. In: Data Science: New Issues, Challenges and Applications, Dzemyda, G., Bernatavi膷ien臈, J., Kacprzyk, J. (Eds.). Cham : Springer, 2020, 111鈥�143. (Studies in Computational Intelligence, 869). DOI: 10.1007/978-3-030-39250-5_7.

Szel膮gowski, M., Lupeikien臈, A. Business process management systems: evolution and development trends. Informatica. 2020, 31(3): 579鈥�595. DOI: 10.15388/20-INFOR429.

Miliauskait臈, J., Kalibatien臈, D. On general framework of type-1 membership function construction: case study in QoS planning. International Journal of Fuzzy Systems. 2020, 22(2): 504鈥�521. DOI: 10.1007/s40815-019-00753-4.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Riga Technical University (Latvia)
University of Tartu (Estonia)
Warsaw University of Technology (Poland)
Systems Research Institute of Polish Academy of Sciences (Poland)
University of Geneva (Switzerland)
University of Frankfurt (Germany)

OTHER RESEARCH ACTIVITIES

Prof. Dr S. Gudas 鈥�

member of the Technical Committee TK8 of the Lithuanian Standardization Department;
member of the Council of the Lithuanian Computer Society (LIKS);
IFIP TC8 Information Systems member;
representative of the National Digital Coalition from LIKS.

Prof. Dr D. Dzemydien臈 鈥�

editorial board member of the Journal of Riga Technical University Applied Computer Systems,
editorial board member of the International Journal of Electronic Security and Digital Forensics,
editorial board member of the International Journal of Strategic Property Management,
program committee member of the 14th International Baltic Conference on Databases and Information Systems (Baltic DB&IS 2020),
program committee member of the international conference ALTA鈥�20 鈥淎dvanced Learning Technologies and Applications. Short Learning Programmes鈥�,
member of the Council of the Lithuanian Computer Society (LIKS);
member of the Council of the Lithuanian Operation Reasearch Society, ,council.en;
member of the Council of the National Digital Coalition,

Assoc. Prof. Dr A. Lupeikien臈 鈥�

editorial board member of the Journal of Riga Technical University Applied Computer Systems,
program committee member of the 14th International Baltic Conference on Databases and Information Systems (Baltic DB&IS 2020),
program committee member of the 13th International Conference on Agents and Artificial Intelligence (ICAART 2021),

Dr S. Maskeli奴nas 鈥�

program committee member of the 14th International Baltic Conference on Databases and Information Systems (Baltic DB&IS 2020),
chairman of the Council of the Lithuanian Computer Society,
member of the Rules of Participation (RoP) working group of the European Open Science Cloud (EOSC),
board member of the Technical Committee LST TK4 鈥淚nformation technology鈥�;
member of the State Commission of the Lithuanian Language Sub-Commission of Language Technologies;
member of the project "Development of New Generation Internet Access Infrastructure (RAIN-3)" steering committee.

Prof. Dr A. 膶aplinskas 鈥�

editorial board member of the journal Informatica,
editorial board member of the Baltic Journal of Modern Computing,

Prof. Dr Habil. S. Jukna 鈥�

scientific board member of the Electronic Colloquium on Computational Complexity (ECCC),
editorial board member of the Lithuanian Mathematical Journal,

Assoc. Prof. Dr Habil. R. Pliu拧kevi膷ius 鈥�

editorial board member of the Lithuanian Mathematical Journal,

EDUCATION SYSTEM GROUP

4 Akademijos, LT-08663 Vilnius
Tel. 210 9732
E-mail:

Head 鈥� Prof. Dr Valentina Dagien臈

STAFF

Research professor: Prof. Dr V. Dagien臈.
Senior researcher: Dr J. Kurilov.
Researchers: Dr T. Jevsikova, Dr A. Ju拧kevi膷ien臈, Dr V. Dolgopolovas.
Research assistant: Dr G. Stupurien臈.
Doctoral students: V. Dvareckien臈, I. Krikun, T. 艩iaulys, L. Vinikien臈.
Affiliate researchers: Assoc. Prof. Dr G. Grigas, Dr L. Markauskait臈.

RESEARCH INTERESTS

Application of intelligent technologies in education
Computer science (Informatics) education research
Computing engineering education research
Software localisation
Technology enhanced learning

RESEARCH PROJECTS CARRIED OUT IN 2020

Projects Supported by University Budget

Research on Intelligent Technologies Application for Teaching, Learning and Cultural Environment. Prof. Dr V. Dagien臈 (leader). 2019鈥�2020.

Developing of engineering solutions for improving teaching and learning by implementing intelligent technologies. Solutions for mobile learning; creating of e-learning recommendations based on semantic web. Methodologies to evaluate the quality of distance learning courses and learning object repositories. Creation of computational thinking operational model, research on its application in general education and in the Bebras contest on informatics and computational thinking.

Main publications:

Dolgopolovas, V., Dagien臈, V., Jevsikova, T. Methodological guidelines for the design and integration of software learning objects for scientific programming education. Scientific Programming. 2020, 2020: 6807515: 1鈥�19. DOI: 10.1155/2020/6807515.

Ju拧kevi膷ien臈, A. Developing algorithmic thinking through computational making. In: Data Science: New Issues, Challenges and Applications. Dzemyda, G., Bernatavi膷ien臈, J., Kacprzyk, J. (Eds.). 2020, 183鈥�197. (Studies in Computational Intelligence, vol. 869). DOI: 10.1007/978-3-030-39250-5_10.

Kurilov, J. On data-driven decision-making for quality education. Computers in Human Behavior. 2020, 107, 105774: 1鈥�9. DOI: 10.1016/j.chb.2018.11.003.

Kurilov, J., Kubilinskien臈, S. Lithuanian case study on evaluating suitability, acceptance and use of IT tools by students 鈥� an example of applying technology enhanced learning research methods in higher education. Computers in Human Behavior. 2020, 107, 106274: 1鈥�11. DOI: 10.1016/j.chb.2020.106274.

Research Council of Lithuania. Research internship. Using Constructivism, and Project and Challenge Driven Pedagogy for Learning Computational Thinking. Dr A. Ju拧kevi膷ien臈, 2020鈥�2021.

The research is aimed to propose the approach of using constructivism and challenge driven pedagogy implemented by merging design thinking and computational thinking (CT) taxonomy models through physical computing. The approach on learning CT by applying design thinking phases accomplished by CT taxonomy practices implemented by computational making activities moves the computational concepts from screen into the real world and allows learners to interact with them.

Main publications:

Ju拧kevi膷ien臈, A. Developing algorithmic thinking through computational making. In Data Science: New Issues, Challenges and Applications. 2020, 183鈥�197.

Ju拧kevi膷ien臈, A. STEAM teacher for a day: a case study of teachers鈥� perspectives on computational thinking. Informatics in Education. 2020, 19(1): 33鈥�50.

Research Council of Lithuania. EKSTRE - Nuotolinio darbo ir mokymo proceso organizavimo modelis ir rekomendacijos ekstremaliam ir pereinamajam laikotarpiui (EKSTRE 鈥� A model of distance work and teaching process organization and recommendations for extreme and transition period), 2020. Head: KTU Prof. Dr A. Ven膷kauskas.

The research project investigates the educational processes, opportunities and challenges during the Covid-19 period. The research was carried out at the end of 2020 during the most challenging period for all educational organizations. The researchers from three Lithuanian universities (Kaunas University of Technology, 911爆料网 and Vilnius Gediminas Technical University) have provided the detailed analyses on online studies and main criteria for successful education based on administrative positions, and design makers of the educational organizations.

International Research Projects

COST: EUGAIN - CA19122 European Network for Gender Balance in Informatics. 2020鈥�2024. Action Chair: Prof. M. L. Jaccheri.

The main aim of this COST Action is to improve gender balance in Informatics at all levels, from undergraduate and graduate studies to participation and leadership in academia and industry, through the creation and strengthening of a truly European network of colleagues working on the forefront of the efforts for gender balance in Informatics in their countries, institutions and research communities. The Action will be building on knowledge and experience from their successes and failures, learning and sharing what has worked and how it could be transferred to different settings and practical realities across Europe. This network of excellence by fostering collaboration will be evolving and improving knowledge about measures, actions, and guidelines that have positive impact and results, working holistically towards the ultimate goal of a better gender balance in Informatics.

Structuring Cooperation in Doctoral Research, Transferrable Skills Training, and Academic Writing Instruction in Ukraine鈥檚 Regions (DocHub) (574064-EPP- 1-2016- 1- LT-EPPKA2- CBHE-SP). 2016鈥�2020. Head: Prof. Dr V. Dagien臈.

Seeking an essential change in education system and better opportunities for doctoral students in Ukraine, a unique project focussed around university-based hubs (Doctoral Schools / DocHubs) was established, which united 5 universities, 5 research institutes and the Ministry of Education and Science of Ukraine by coordinating 911爆料网. The project aimed to accelerate national implementation of Bologna-style 3rd cycle programs in Ukraine by building enabling structures, and to aggregate critical mass (integrating the resources of the Academy of Sciences research institutes and the teaching capacities of universities) for PhD education.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Ankara University (Turkey)
DEL University (Indonesia)
ETH Zurich (Switzerland)
Freiburg University of Education (Germany)
KTH Stockholm (Sweden)
Lancaster University (UK)
Singapore National University (Singapore)
Taiwan Normal University (Taiwan)
Tallinn University (Estonia)
Vienna University of Technology (Austria)

OTHER RESEARCH ACTIVITIES

Prof. Dr V. Dagien臈 鈥�

editor-in-Chief of the journal Informatics in Education, (Clarivate Analytics Web of Science Core Collection; Scopus; etc.);
editor-in-Chief of the journal Olympiads in Informatics (Scopus, etc),
area editor (Computing Didactics) of the Baltic Journal of Modern Computing, (Clarivate Analytics Web of Science Core Collection; Scopus; etc.);
editorial board member of the journals: International Journal of Digital Literacy and Digital Competence; International Journal of Instruction; Acta Paedaogica Vilnensia;
guest co-editor of the Computer Applications in Engineering Education (Wiley), Special Issue on Computational Thinking for STEAM and Engineering Education, (Clarivate Web of Science Core Collection);
coordinator of the Nordplus Network on Innovative Computing Engineering Education Research;
representative of Lithuania in Education Committee TC3 under the International Federation for Information Processing (IFIP);
member of Council of Lithuanian Computer Society,
member of Lithuanian Mathematical Society,
member of Steering Committee of International Olympiads in Informatics,
chair of the Bebras Board (International Challenge on Informatics and Computational Thinking),

Assoc. Prof. Dr J. Kurilov 鈥�

executive editor of the journal Informatics in Education, (Clarivate Analytics Web of Science Core Collection);
guest editor of the journal International Journal of Engineering Education (Tempus Publications, Ireland), Special Issue on Computer Engineering Education, (Clarivate Analytics Web of Science);
co-editor Europe of the International Journal of Knowledge Society Research (IGI Global, USA),
鈥� associate editor of the Journal of Engineering and Computer Innovations,
editorial board member of the International Journal on Advances in Software (IARIA journal, USA),
editorial board member of the Journal of Studies in Education (Macrothink Institute, USA),

Dr V. Dolgopolovas 鈥�

member of the local editorial board of the journal Informatics in Education, (Clarivate Web of Science Core Collection);
guest co-editor of the Computer Applications in Engineering Education (Wiley), Special Issue on Computational Thinking for STEAM and Engineering Education, (Clarivate Web of Science Core Collection);

Dr T. Jevsikova 鈥�

member of International Federation for Information Processing (IFIP) TC3 WG 3.1 (Informatics for Secondary Education).

Dr G. Stupurien臈 鈥�

executive editor of the journal Informatics in Education, (Clarivate Analytics Web of Science Core Collection; Scopus; etc.).

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES

Annual event 鈥� International Challenge on Informatics and Computational Thinking 鈥淏ebras鈥�, organized by Valentina Dagien臈, Tatjana Jevsikova, Vaidotas Kin膷ius, Gabriel臈 Stupurien臈.
Book: V. Dagien臈, N. Bankauskait臈, S. Bru啪ien臈. Informatikos u啪duotys. 3-4 klasei [Informatics tasks, 3-4 grades; in Lithuanian]. 艩viesa. 2020 (An electronic supplement to this textbook has been published as well as detailed methodological guidelines for teachers).

GLOBAL OPTIMIZATION GROUP

4 Akademijos, LT-08663 Vilnius
Tel. 210 9304
E-mail:
Head 鈥� Prof. Dr Julius 沤ilinskas

STAFF

Research professors: Prof. Dr Julius 沤ilinskas, Prof. Dr Habil. Antanas 沤ilinskas.
Senior researcher: Assoc. Prof. Dr Algirdas Lan膷inskas.
Affiliated researcher: Assoc. Prof. Dr Rimantas Pupeikis.
Doctoral students: Rima Kriauzien臈, Egl臈 Zikarien臈, Saulius Tautvai拧as, Mindaugas Kepalas.

RESEARCH INTERESTS

Optimization and high-performance computing

RESEARCH PROJECTS CARRIED OUT IN 2020

Projects Supported by University Budget

Global Optimization. Prof. Dr J. 沤ilinskas.

The aim is the development of global optimization algorithms and their application to optimization problems.
An algorithm for discrete competitive facility location problem with an asymmetric objective function and a binary customer choice rule has been proposed and investigated;
The efficiency of a multi-objective global optimization algorithm is theoretically evaluated.

Main publications:

Lan膷inskas, A., 沤ilinskas, J., Fernandez, P., Pelegrin, B. Solution of asymmetric discrete competitive facility location problems using ranking of candidate locations. Soft Computing. 2020, 24(23): 17705鈥�17713. DOI: 10.1007/s00500-020-05106-0.

Calvin, J., 沤ilinskas, A. On efficiency of a single variable bi-objective optimization algorithm. Optimization Letters. 2020, 14(1) 259鈥�267. DOI: 10.1007/s11590-019-01471-4.

National Research Project

Research Council of Lithuania. Development and Parallelization of Ranking-Based Optimization Algorithms (No. 09.3.3-LMT-K-712-02-0087). Dr A. Lan膷inskas. 2017鈥�2020.

The objective of the project is to develop a ranking-based algorithm for solving combinatorial optimization problems using high-performance computing systems.
The project is based on two activities: development of the ranking-based algorithm and its application to high-performance computing systems.
The goal of the first activity is to develop the ranking-based algorithm suitable to solve combinatorial optimization problems. Beside well-known combinatorial optimization test problems, various instances of competitive facility location problems will be used in an experimental investigation. It is planned to organize a research visit at University of Murcia, where researchers have experience in modelling and solving facility location problems.
The goal of the second activity is to develop parallel versions of the algorithm ensuring effective communication between processors. For this purpose, it is necessary to search for novel solution in high-performance computing in order to create an optimal communication strategy. Computational experiments will be performed using high-performance computing system at 911爆料网. It is also planned to collaborate with Edinburgh Parallel Computing Centre in developing the parallel algorithm for large-scale high-performance computing systems.
In the case of success, a ranking-based algorithm for solving combinatorial optimization problems using high-performance computing systems will be proposed and experimentally investigated. The proposed algorithm will allow solving complex combinatorial optimization problems encountered in various research and industry areas. The proposed principal solutions to create and parallelize the algorithm will contribute to further researches in development and parallelization of similar algorithms.

International Research Project

COST action Improving Applicability of Nature-Inspired Optimisation by Joining Theory and Practice (ImAppNIO) CA15140. Member of Managing Committee Dr A. Lan膷inskas. 2016鈥�2020.

Nature-inspired search and optimisation heuristics are easy to implement and apply to new problems. However, in order to achieve good performance it is usually necessary to adjust them to the problem at hand. Theoretical foundations for the understanding of such approaches have been built very successfully in the past 20 years but there is a huge disconnect between the theoretical basis and practical applications. The development of powerful analytical tools, significant insights in general limitations of different types of nature-inspired optimisation methods and the development of more practically relevant perspectives for theoretical analysis have brought impressive advances to the theory-side of the field. However, so far impact on the application-side has been limited and few people in the diverse potential application areas have benefitted from these advances.
The main objective of the COST Action is to bridge this gap and improve the applicability of all kinds of nature-inspired optimisation methods. It aims at making theoretical insights more accessible and practical by creating a platform where theoreticians and practitioners can meet and exchange insights, ideas and needs; by developing robust guidelines and practical support for application development based on theoretical insights; by developing theoretical frameworks driven by actual needs arising from practical applications; by training Early Career Investigators in a theory of nature-inspired optimisation methods that clearly aims at practical applications; by broadening participation in the ongoing research of how to develop and apply robust nature-inspired optimisation methods in different application areas.

MAIN SCIENTIFIC ACHIEVEMENTS IN 2020

An algorithm for discrete competitive facility location problem with an asymmetric objective function and a binary customer choice rule has been proposed and investigated;

The efficiency of a multi-objective global optimization algorithm is theoretically evaluated.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Universidad de Almer铆a (Spain)
Universidad de Murcia (Spain)
Universidad de La Laguna (Spain)
University of Edinburgh (United Kingdom)
Universit脿 della Calabria (Italy)
Cardiff University (UK)
New Jersey Institute of Technology (USA)

OTHER RESEARCH ACTIVITIES

Prof. Dr. J. 沤ilinskas 鈥�

member of editorial boards of international journals: Computer Science (AGH), , Informatica (IOSPress/VU), , Information Technology and Control (KTU), , Journal of Global Optimization (Springer), , Mathematical Methods of Operations Research (Springer), , Mathematical Modelling and Analysis (VGTU), , Open Computer Science (De Gruyter), , Open Engineering (De Gruyter), , Optimization Letters (Springer), , SN Operations Research Forum (Springer Nature),
member of board of Lithuanian Operational Research Society (member society of EURO and IFORS), head of working group Optimization Methods and Applications,
member of European Network of Excellence on High Performance and Embedded Architecture and Compilation (HiPEAC),

Prof. Dr. Habil. A. 沤ilinskas 鈥�

member of IFIP working group WG 7.6 Optimization-Based Computer Aided Modeling and Design,
member of American Mathematical Society,
programme committees member of the following 4 international conferences: 22nd Int. Conference on Computer Systems and Technologies, CompSysTech'20, June 19鈥�20 2020, University of Ruse, Bulgaria; 13th Int. Workshop on Computational Optimization (WCO'20), September 6鈥�9 2020, Sofia, Bulgaria; 6th Int. Conference on Machine Learning, Optimization, and Data Science, July 19鈥�23 2020 , Certosa di Pontignano, Siena 鈥� Tuscany, Italy; 14th Learning and Intelligent Optimization Conference, May 24鈥�28 2020, Athens, Greece;
editorial boards member of international journals: Journal of Global Optimization (Springer) , Informatica (IOSPress/VU), , Control and Cybernetics :3000/mainpage, Statistics, Optimization and Information Computing www.iapress.org/index.php/soic, Journal of Intelligent Learning Systems and Applications , International Journal of Grid and High Performance Computing , The Open Cybernetics and Systemics Journal , Baltic Journal of Modern Computing
Emeritus member of the Lithuanian Academy of Sciences

Dr A. Lan膷inskas 鈥�

affiliate member of European Network of Excellence on High Performance and Embedded Architecture and Compilation (HiPEAC),
member of management committee of COST action CA15140 Improving Applicability of Nature-Inspired Optimisation by Joining Theory and Practice (ImAppNIO).

IMAGE AND SIGNAL ANALYSIS GROUP

4 Akademijos, LT-08663 Vilnius
Tel. 210 9328
E-mail:
Head 鈥� Assoc. Prof. Dr Povilas Treigys

STAFF

Senior researchers: Assoc. Prof. Dr Povilas Treigys, Dr G. Korvel, Assoc. Prof. Dr G. Tamulevi膷ius, Dr Jolita Bernatavi膷ien臈.
Affiliate researchers: Prof. Dr Habil. K. Kazlauskas, Prof. Dr Habil. Adolfas Laimutis Telksnys.
Senior specialist: G. Navickas.
Doctoral students: B. 膶iapas, M. Mork奴nas, J. Venskus, J. Jucevi膷ius, S. Virbukait臈, M. Danilovait臈, R. Jurkus.

RESEARCH INTERESTS

Audio and image signal processing; random processes analysis and recognition

RESEARCH PROJECTS CARRIED OUT IN 2020

Project Supported by University Budget

Digital Signal Analysis and Modelling. Assoc. Prof. Dr P. Treigys. 2018鈥�2020.

Tasks in 2020 were: to develop machine learning algorithms for lymphocyte nuclei in WSI image detections and classification, autoencoder based collagen network extraction deep learning model in WSI images, LSTM model for unusual maritime traffic detection, deep learning models for cross-linguistic speech emotion recognition, to explore white and color nose impact on speech signal analysis and modelling.

The main results were deep learning model for cell nuclei segmentation and lymphocyte identification in whole slide histology image, deep learning model or cross-linguistic speech emotion recognition based on 2D feature spaces developed, Lombard speech models in the context of speech in noise enhancement evaluated.

Main publications:

Tamulevi膷ius, G., Korvel, G., Yayak, A. B., Treigys, P., Bernatavi膷ien臈, J., Kostek, B. A study of cross-linguistic speech emotion recognition based on 2D feature spaces. Electronics. 2020, 9(10), 1725: 1鈥�13. DOI: 10.3390/electronics9101725.

Korvel, G., K膮kol, K., Kurasova, O., Kostek, B. Evaluation of Lombard speech models in the context of speech in noise enhancement. IEEE Access. 2020, 8: 155156鈥�155170. DOI: 10.1109/ACCESS.2020.3015421.

National Research Projects

Creating a Database of Depersonalized Eye Fundus Images. Vilnius Region Biomedical Research Committee approval No.:158200-18/11-1057-572, 11-2018 鈥� 10-2030, Project head: Dr P. Treigys.

The aim of biomedical research is to create a database of depersonalized eye fundus images to develop an artificial intelligence based system for early detection of eye fundus pathological changes that supports selected disease diagnosing, which will be used by primary care physicians and optometrists. Review and comparison of the topology of the deep learning networks based on the collected eye fundus data, development of models for disease recognition.

Research Council of Lithuania. COVID-19 Infection in Lithuania: Modelling and Analysis of Social-Economic Consequences (No. S-COV-20-34, 06-2020 鈥� 12-2020). Project head: Dr O.

艩tikonien臈.ARIMA and a new attention-based forecasting method were used to develop short-term forecasts of confirmed cases of COVID-19, which aim to predict trends in the spread of the virus in Lithuania using data from other countries with a longer history. The performed analysis enables to review the measures applied in the countries of the same cluster to evaluate the impact and effectiveness of the measures taken. The results obtained are published on the website

International Research Projects

H2020National Competence Centres in the framework of EuroHPC (Ref. No. 951732). 01 September 2020鈥�31 August 2022.

Within the EuroCC project under the European Union鈥檚 Horizon 2020 (H2020), participating countries are tasked with establishing a single National Competence Centre (NCC) in the area of high-performance computing (HPC) in their respective countries. These NCCs will coordinate activities in all HPC-related fields at the national level and serve as a contact point for customers from industry, science, (future) HPC experts, and the general public alike. The EuroCC project is funded 50 percent through H2020 (EuroHPC Joint Undertaking [JU]) and 50 percent through national funding programs within the partner countries. The EuroCC activities鈥攚ith 33 member and associated countries on board鈥攊s coordinated by the High-Performance Computing Center Stuttgart (HLRS). The project aims to elevate the participating countries to a common high level in the fields of HPC, HPDA and artificial intelligence (AI). To this end, the EuroCC project will establish National Competence Centres (NCCs) in the participating countries, which will be responsible for surveying and documenting the core HPC, HPDA, and AI activities and competencies in their respective countries. Ultimately, the goal is to make HPC available to different users from science, industry, public administration, and society.

COST action A New Network of European Bioimage Analysts to Advance Life Science Imaging (NEUBIAS). Member of Managing Committee Assoc. Prof. Dr P.Treigys. 2016鈥�2020.
This Action is a programme for establishing a network of BioImage Analysts (BIAlysts), to maximize the impact of advances in imaging technology on the Life-Sciences (LSc), and to boost the productivity of bioimaging-based research projects in Europe. BIAlysts have recently emerged in various research institutions, but these experts are still not well recognised in the LSc community. The Action aims to provide a stronger identity to BIAlysts by organising a new type of meeting fostering interactions between all stakeholders including Life scientists, BIAlysts, microscopists, developers and the private sector.

COST action Open Multiscale Systems Medicine (OpenMultiMed). Member of Managing Committee Dr J. Bernatavi膷ien臈. 2016鈥�2020.

Human health and disease are characterized by a complex interplay of multiple factors from the genome to the exposome. For many complex diseases, a sufficiently detailed understanding of the underlying mechanisms has remained elusive, and therefore the development of effective cures continues to be major challenge. As a result, the socioeconomic burden (morbidity, mortality, financial cost) of complex diseases remains high and is likely to grow within Europe鈥檚 aging population. Systems medicine is an emerging interdisciplinary framework that aims to improve our understanding, prevention and treatment of complex diseases by integrating knowledge and data across multiple levels of biomedical organization.

COST action CA18231 Multi3Generation: Multi-task, Multilingual, Multi-modal Language Generation. Member of Managing Committee Dr G. Korvel. 2019鈥�2023.

Language generation (LG) is a crucial technology if machines are to communicate with humans seamlessly using human natural language. A great number of different tasks within Natural Language Processing (NLP) are language generation tasks, and being able to effectively perform these tasks implies (1) that machines are equipped with world knowledge that can require multi-modal processing and reasoning (e.g., textual, visual and auditory inputs, or sensory data streams), and (2) the study of strong, novel Machine Learning (ML) methods (e.g., structured prediction, generative models), since virtually all state-of-the-art NLP models are learned from data. Moreover, human languages can differ wildly in their surface realisation (i.e. scripts) as well as their internal structure (i.e., grammar), which suggests that multilinguality is a central goal if machines are to perform seamless language generation. Language generation technologies would greatly benefit both public and private services offered to EU citizens in a multilingual Europe and have strong economic and societal impacts.

COST action CA15225 Fractional-Order Systems - Analysis, Synthesis and Their Importance for Future Design. Member of Managing Committee Assoc. Prof. Dr G. Tamulevi膷ius. 2016鈥�2020.

Fractional-order systems have lately been attracting significant attention and gaining more acceptance as generalization to classical integer-order systems. Mathematical basics of fractional-order calculus were laid nearly 300 years ago and since that it has gained deeply rooted mathematical concepts. Today, it is known that many real dynamic systems cannot be described by a system of simple differential equation or of integer-order system. In practice we can encounter such systems in electronics, signal processing, thermodynamics, biology, medicine, control theory, etc. The Action will favour scientific advancement in the above areas by coordinating activities of academic research groups towards an efficient deployment of fractal theory to industry applications. The cooperation of researchers from different institutions will guarantee wide visibility of Action results. The main results were machine-learning algorithms for tumour classification, feature space analysis for machine-based recognition, machine-learning algorithms for multiscale data analysis, machine learning methods for language generation, efficient deployment of fractal theory to industry applications.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Hospital Kauno klinikos of Lithuanian University of Health Sciences (Lithuania)
911爆料网 Hospital Santaros klinikos (Lithuania)
National Cancer Institute (Lithuania)
JSC NetCode (Lithuania)
Brno University of Technology (Czech Republic)
Gdansk University of Technology, Faculty of Electronics, Telecommunications and Informatics, Audio Acoustics Laboratory (Poland)

OTHER RESEARCH ACTIVITIES

Prof. Dr Habil. A. L. Telksnys 鈥�

member of Council on Digitization of Lithuanian Cultural Heritage;
board member of the Ministry of Culture of the Republic of Lithuania Archives;
member of the IEEE Technical Committee on eHealth;
member of the Working group WG 7.1 Modeling and Simulation of the International Federation of Information Processing (IFIP);
member of the Lithuanian Academy of Sciences;
member of Commission of the Seimas of the Republic of Lithuania on Lithuanian traditions and heritage actualization;
editorial board member of the international journals: Informatica, Information Technology and Control, Tamkang Journal of Science and Engineering,
editorial board member of the journal Informacijos mokslai,
preparation of the Concept of Lithuanian speech into Electronic Media Research Development in 2014鈥�2020 LIEPA 2.

Prof. Dr Habil. K. Kazlauskas 鈥�

member of Lithuanian Computer Society,
member of Lithuanian Mathematical Society,

Assoc. Prof. Dr G. Tamulevi膷ius 鈥�

member of IEEE Computer society and Signal processing society sections.

Dr G. Korvel 鈥�

member of Lithuanian Computer Society,
member of Lithuanian Society of Young Researchers,
member of Lithuanian Mathematical Society,
member of INSTICC (the Institute for Systems and Technologies of Information),

Dr J. Bernatavi膷ien臈 鈥�

managing Co-editor of the Baltic Journal of Modern Computing,
member of Lithuanian Computer Society (Artificial Intelligence Section),
member of Lithuanian Mathematical Society,
member of Lithuanian Operational Research Society,

G. Navickas 鈥�

member of Lithuanian Computer Society,
member of IEEE,

INTELLIGENT TECHNOLOGIES RESEARCH GROUP

4 Akademijos, LT-08663 Vilnius.
Tel. 210 9311
E-mail:
Head 鈥� Dr Virginijus Marcinkevi膷ius

STAFF

Senior researchers: Dr Virginijus Marcinkevi膷ius, Prof. Dr Saulius Minkevi膷ius, Prof. Dr Darius Plikynas, Assoc. Prof. Dr Igoris Belovas.
Affiliated researchers: Prof. Dr Habil. Leonidas Sakalauskas, Dr Stasys Stei拧奴nas.
Research assistant: Neringa Urbonait臈.
Specialists and engineering staff: Dr Gintautas Jakimauskas, Dr Martynas Sabaliauskas,
Dr Vilma Zubaitien臈, Snieguol臈 Me拧kauskien臈, Laimut臈 Mikalauskien臈, Raimundas Savukynas, 沤ygimantas Sideravi膷ius.
Doctoral students: Liudas Ali拧auskas, Andrius Cha啪evskas, Vytautas Dulskis, Shubham
Juneja, Vytautas Paura, Mantas Stankevi膷ius, Neringa Urbonait臈, Paulius Vaitkevi膷ius.

RESEARCH INTERESTS

Machine learning and its application
Artificial intelligence and its application
Natural language processing
Cyber security
Mathematical modelling
Image analysis
Data mining and visualization
Application of modeling, classification and clustering methods in medicine (e.g. in genetics) and economics
Optimization. Application of stochastic optimization methods in engineering
Multi-agent systems: simulation and application in social research

RESEARCH PROJECTS CARRIED OUT IN 2020

Projects Supported by University Budget

Theoretical and Applied Aspects of Machine Learning and Mathematical Modelling. Dr V. Marcinkevi膷ius. 2019鈥�2021.

Main goal is development of the measuring metrics, conceptual and agent-based simulation model aimed at investigation of the social impact of cultural processes. The main results were new algorithms for 3D simulation and visualization of Riemann zeta function, experimental analysis of algorithms using ensembles of recurrent neural networks to detect phishing websites, a model for queueing networks consisting of 100 subnets under high load conditions.
LMT research group project No. P-MIP-17-368 鈥淒evelopment of metrics, conceptual and simulation models of the social impact of cultural processes鈥� was completed.

Main publications:

Belovas, I., Sabaliauskas, M. Series with binomial-like coefficients for the evaluation and 3D visualization of zeta functions. Informatica. 2020, 31(4): 1鈥�22. DOI: 10.15388/20-INFOR434.

Vaitkevi膷ius, P., Marcinkevi膷ius, V. Comparison of classification algorithms for detection of phishing websites. Informatica. 2020, 31(1): 143鈥�160. DOI: 10.15388/20-INFOR404.

Sakalauskas, L., Dulskis, V., Lauzikas, R., Miliauskas, A., & Plikynas, D. A probabilistic model of the impact of cultural participation on social capital. The Journal of Mathematical Sociology. 2020, 1鈥�14. DOI: 10.1080/0022250X.2020.1725002.

National Project

Development of Internet Portal of Integrated Lithuanian Language and Writing Resources, Products and Services 鈥� Ra拧tija 2. 拧tija.lt/ Dr V. Marcinkevi膷ius. 2018鈥�2021.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INOVATION) PARTNERS

SAP (Germany)
Neurotechnology (Lithuania)
University of Tartu (Estonia)
Vilnius Gediminas Technical University (Lithuania)
Ghent University (Belgium)
Warsaw University of Technology (Poland)
Lithuanian Culture Research Institute (Lithuania)

OTHER RESEARCH ACTIVITIES

Prof. L. Sakalauskas 鈥�

editorial board member of Journal Technological and Economic Development of Economy,
elected member of International Statistical Institute (2001),
member of European Working Group on Continuous Optimization,
member of European Working Group on Stochastic Optimisation,
member of European Working Group on Civil Engineering and Sustainable Development,
President of Lithuanian Operational Research Society,
chair of Lithuanian Conference on Operations Research and Application in Business and Technics,

Prof. D. Plikynas 鈥�

member of Artificial Intelligence section of Lithuanian Computer Society (LIKS-AIS);
member of ESSA (European Social Simulation Association);
ECCAI (European Coordinating Committee for Artificial Intelligence).

Assoc. Prof. Dr I. Belovas 鈥�

member of Lithuanian Mathematical Society,

Prof. Dr S. Minkevi膷ius 鈥�

member of Lithuanian Mathematical Society,

Dr V. Marcinkevi膷ius 鈥�

member of Lithuanian Computer Society,
member of Lithuanian Mathematical Society,
member of Lithuanian Operational Research Society,
member of European Working Group on Stochastic Optimisation,
member of editorial board of journal Applied Computer Systems;
member of IST-141-RTG on Exploratory Visual Analytics group;
substitute in COST action Statistical and machine learning techniques in human microbiome studies.

STATISTICS AND PROBABILITY GROUP

4 Akademijos, LT-08663 Vilnius
Tel. 210 9731
E-mail
Head 鈥� Prof. Dr Habil. K臋stutis Kubilius

STAFF

Research professors: Prof. Dr Habil. K. Kubilius, Dr S. Norvidas.
Professor: Prof. Dr Habil. M. Sapagovas (emeritus).
Senior researchers: Dr D. E. Otera, Dr M. Radavi膷ius, Prof. Dr Habil. M. Vai膷iulis.
Researchers: Dr A. Astrauskas Dr A. Bak拧aev Dr A. 膶iginas, Dr D. Dzindzalieta, Dr V. Kurauskas. Dr T. Ju拧kevi膷ius.
Research assistant: Dr J. Novickij.
Affiliatedresearchers: Dr J. J. Ma膷ys, Prof. Dr R. Mikulevi膷ius, Dr R. Rudzkis, Prof. Dr Habil. J. K. Sunklodas.
Doctoral students: A. Med啪i奴nas, R. U啪upyt臈.

RESEARCH INTERESTS

Statistical inference for long memory processes
Statistical hypothesis testing
Heavy tails
Self-similar processes
Rough paths
Econometrics
Biostatistics
Finite population statistics and statistical analysis of data
Extremal problems in harmonic analysis
Random graphs
Combinatorics
Discrete mathematics
Algebraic geometry

RESEARCH PROJECTS CARRIED OUT IN 2020

Projects Supported by University Budget

Analysis and Applications of Probabilistic and Deterministic Models. Prof. Dr Habil. K. Kubilius (leader). 2020鈥�2021.

In 2008, part of J. E. Littlewood's hypothesis about the number of roots of trigonometric sums with bounded coefficients was refuted. Despite considerable interest in the Littlewood problem, no progress has been made in estimating the upper bound of the minimum number of roots over the past decade. New results have been achieved.

For a class of fractional stochastic differential equations (FSDEs) with coefficients that may not satisfy the linear growth condition and non-Lipschitz diffusion coefficient, the positivity of the solutions of these equations is proved. It is shown that the trajectories of the fractional CKLS model are not necessarily positive for a certain diffusion coefficient. The almost sure convergence rate of the backward Euler approximation scheme for solutions of the considered SDEs is obtained. A strongly consistent and asymptotically normal estimator of the Hurst index H>1/2 for positive solutions of FSDEs is obtained.
New iterative methods for solving systems of nonlinear differential equations with non-local conditions are investigated using the M-matrix theory.

Main publication:

Kubilius, K. Estimation of the Hurst index of the solutions of fractional SDE with locally Lipschitz drift. Nonlinear Analysis: Modelling and Control. 2020, 25(6): 1059鈥�1078.

OTHER RESEARCH ACTIVITIES

Prof. K. Kubilius 鈥�

co-editor-in-chief of the Modern Stochastics: Theory and Applications,
editorial board member of the Lithuanian Mathematical Journal,
editorial board member of the Mathematical Modelling and Analysis, .

Assoc. Prof. S. Norvidas 鈥�

editorial board member of the Lithuanian Mathematical Journal,

Prof. M. Radavi膷ius 鈥�

editorial board member of the Lithuanian Mathematical Journal,
editorial board member of the Modern Stochastics: Theory and Applications,
editor-in-chief of the journal Lietuvos statistikos darbai (Lithuanian Journal of Statistics),

Prof. R. Rudzkis 鈥�

editorial board member of the Lithuanian Mathematical Journal,
editorial board member of the journal 袩褉懈泻谢邪写薪邪褟褝泻芯薪芯屑械褌褉懈泻邪,
editorial board member of the journal Lietuvos statistikos darbai (Lithuanian Journal of Statistics),
editorial board member of the journal Pinig懦 studijos (Monetary Studies),

Prof. Emeritus M. Sapagovas 鈥�

editorial board member of the Lithuanian Mathematical Journal,
editorial board member of the journal Nonlinear Analysis: Modelling and Control,
editorial board member of the journal Informatica,
editorial board member of the Mathematical Modelling and Analysis,

ARTIFICIAL INTELLIGENCE LABORATORY

4 Akademijos, LT-08663 Vilnius.
Tel. 210 9311
E-mail:
Head 鈥� Dr Virginijus Marcinkevi膷ius

STAFF

Senior researcher: Dr Virginijus Marcinkevi膷ius.
Researcher: Dr J奴rat臈 Vai膷iulyt臈.
Research assistant: Neringa Urbonait臈.
Doctoral students: Shubham Juneja, Vytautas Paura.

RESEARCH INTERESTS

Advance machine learning in process automatization
Natural language processing
Image processing and analysis with deep neural networks
Visual odometry and localization

RESEARCH PROJECTS CARRIED OUT IN 2020

National Research Projects

The main goal is to investigate machine and imitational learning usage for robot navigation and localization in real environments. Research of natural language processing applications in human-machine interface

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INOVATION) PARTNERS

SAP (Germany)
Neurotechnology (Lithuania)

OTHER RESEARCH ACTIVITIES

Dr V. Marcinkevi膷ius 鈥�

member of Lithuanian Computer Society,
member of Lithuanian Mathematical Society,
member of Lithuanian Operational Research Society,
member of European Working Group on Stochastic Optimisation,
member of editorial board of the journal Applied Computer Systems;
member of IST-141-RTG on Exploratory Visual Analytics group;
substitute in COST action Statistical and machine learning techniques in human microbiome studies.

INSTITUTE OF COMPUTER SCIENCE

47 Didlaukio, LT-08303 Vilnius
Tel. 219 5040
E-mail:
www:
Director 鈥� Prof. Dr Rimantas Vaicekauskas

DEPARTMENTS AND LABORATORIES OF THE INSTITUTE

Department of Computational and Data Modelling
Department of Computer Science
Department of Mathematical Computer Science
Department of Software Engineering
Cybersecurity Laboratory

RESEARCH AREAS

Informatics
Informatics engineering
Fundamental mathematics
Applied mathematics

BEST REPORTS DELIVERED AT CONFERENCES ABROAD

Raila T., Jankunec M., Me拧kauskas T., Valin膷ius G. Computational models of defect clustering for tethered bilayer membranes. Proceedings of 20th International Conference ICCSA 2020. Springer, Lecture Notes in Computer Science, 2020,12253, 496鈥�504.

Raudys, A., 艩ubonien臈, A. A Review of Self-balancing Robot Reinforcement Learning Algorithms. International Conference on Information and Software Technologies. October 15-17, 2020. Cham: Springer, 2020 p. 159-170.

Ardickas, D., Bloznelis, M., Clustering coefficient of a preferred attachment affiliation network. Algorithms and models for the Web graph: 17th International Workshop, WAW 2020, Warsaw, Poland, September 21鈥�22, 2020: proceedings. Cham: Springer, 2020. p. 82-95.

Gasparait臈, Monika; Naud啪i奴nait臈, Kristina; Ragai拧is, Saulius. Systematic literature review of DevOps models. QUATIC: International Conference on the Quality of Information and Communications Technology: 13th International Conference, QUATIC 2020, Faro, Portugal, September 9鈥�11, 2020.

A. Brilingait臈, L. Bukauskas, A. Juozapavi膷ius, and E. Kutka. Information sharing in cyber defence exercises. In Proceedings of the 19th European Conference on Cyber Warfare and Security ECCWS 2020, pages 42-49, The University of Chester, UK, 25-26 June 2020.

MAIN SCIENTIFIC ACHIEVEMENTS IN 2020

A novel methodology, based on finite element modelling and Voronoi tessellation concept, for identi铿乧ation and characterization of protein pores clusters in phospholipid bilayer membranes
A new framework for competence development during cyber defence exercises
A novel computational model for a reactor based on an array of enzyme-loaded microbioreactors
The automated proof search system for logic of correlated knowledge

DEPARTMENT OF COMPUTATIONAL AND DATA MODELING

47 Didlaukio, LT-08303 Vilnius
Tel. 219 5020
E-mail: ,
Head 鈥� Prof. Dr Tadas Me拧kauskas

STAFF

Professors: Dr Habil. Emeritus F. Ivanauskas, Dr A. Juozapavi膷ius (part-time), Dr T. Me拧kauskas.
Associate professors: Dr A. Brilingait臈, Dr L. Bukauskas (part-time), Dr P. Kasparaitis, Dr R. Krasauskas, Dr V. Rap拧evi膷ius (part-time), Dr S. Zub臈.
Assistant professors: Dr M. Beniu拧臈, Dr A. 膶ivilis (part-time), Dr J. Katina, Dr A. V. Misiukas Misi奴nas (part-time).
Teaching assistants: R. Astrauskas, T. Raila (part-time).
Lecturers: Dr J. Ignatavi膷i奴t臈, L. B奴t臈nas (part-time), V. Krinickij, E. Kutka (part-time), V. Masiulionyt臈-Dagien臈 (part-time), G. 艩amrickis (part-time), B. 艩ulmanas (part-time).
Associate professors of practice: T. G. Lipnevi膷ius (part-time), R. Markauskas (part-time).
Doctoral students: S. Bucka, A. Ne膷iporenko, T. Raila.

RESEARCH INTERESTS

Methods and applications of nonlinear and computational modelling, computational geometry
Methods of computer vision, medical imaging, digital imaging, speech and signal processing, data structures and algorithms
Computational modelling of chemical, electrochemical, medical, biological processes and systems.
Internet technology and information systems
Location based services and database management systems
Algorithms for intelligent transport
Computer networks
Cloud and parallel computing, virtualization
Education in computer science

RESEARCH PROJECTS CARRIED OUT IN 2020

Projects Supported by University BudgetResearch and Application of Methods for Computational and Geometric Modelling, Images, Signals and Databases Analysis. Dr T. Me拧kauskas. 2019鈥�2023.

A methodology, based on finite element modelling and Voronoi tessellation concept, was proposed for identi铿乧ation and characterization of protein pores clusters in phospholipid bilayer membranes.
Convolutional neural network based methodology was proposed for electroencephalogram classification by diagnosis.
Lithuanian text-to-speech synthesizer based on Hidden Markov model was implemented.
Darboux cyclides as orbits of quadratic surfaces were analysed by kinematic interpretation.

Main publications:

Raila, T., Ambrulevi膷ius, F., Penkauskas, T., Jankunec, M., Me拧kauskas, T., Vanderah, D. J, Valin膷ius, G. Clusters of protein pores in phospholipid bilayer membranes can be identified and characterized by electrochemical impedance spectroscopy. Electrochimica Acta. 2020, 364. doi: 10.1016/j.electacta.2020.137179.

Misiukas Misi奴nas, A. V., Rap拧evi膷ius, V., Samaitien臈, R., Me拧kauskas, T. Electroencephalogram spike detection and classification by diagnosis with convolutional neural network. Nonlinear Analysis: Modelling and Control. 2020. 25(4): 692鈥�704, doi: 10.15388/namc.2020.25.18016.

Raila, T., Jankunec, M., Me拧kauskas, T., Valin膷ius, G. Computational models of defect clustering
for tethered bilayer membranes. Proceedings of 20th International Conference ICCSA 2020. Springer, Lecture Notes in Computer Science, 2020, 12253, 496鈥�504. doi: 10.1007/978-3-030-58814-4_35.

National Research Projects

Research Council of Lithuania, Quantitative Assessment of the Membrane Damage By the Pore-Forming Toxins (No. LMT S-MIP-19-33). Project leader Dr G. Valin膷ius, Life Sciences Center, 911爆料网, Dr T. Me拧kauskas and T. Raila. 2019鈥�2022.

Computational modelling (based on finite element analysis and Voronoi tessellation concept) of defect clustering effects observed in bilayer phospholipid membranes was performed.

Main publications:

Raila, T., Jankunec, M., Me拧kauskas, T., Valin膷ius, G. Computational models of defect clustering
for tethered bilayer membranes. Proceedings of 20th International Conference ICCSA 2020. Springer, Lecture Notes in Computer Science2020, 12253, 496鈥�504. doi: 10.1007/978-3-030-58814-4_35.

Raila, T., Me拧kauskas, T., Valin膷ius, G., Jankunec, M., Penkauskas, T. Computer modelling of
electrochemical impedance spectra for defected phospholipid membranes: finite element analysis. Proceedings of 3rd International Conference NUMTA 2019. Springer, Lecture Notes in Computer Science, 2020, 11974, 462鈥�469. doi: 10.1007/978-3-030-40616-5_44.

European Regional Development Fund: Lithuanian language in information technologies, Development of Services Controlled by Lithuanian Voice LIEPA-2 (No. 02.3.1-CPVA-V-527-01-0001). Project leader Dr A. Valotka, Faculty of Philology, 911爆料网, Dr P. Kasparaitis and Dr M. Beniu拧臈. 2017鈥�2020.

Text-to-speech synthesis based on neural networks was investigated.

Research Council of Lithuania. Data Management and Algorithms for Smart Transportation (No. 01.2.2-LMT-K-718-02-0018). Project leader Dr S. 艩altenis, Dr A. Brilingait臈, Dr L. Bukauskas, Dr A. 膶ivilis, E. Kutka, V. Krinickij. 2019鈥�2023.

The data model of charge-arrival-time profiles was proposed to capture long electric vehicle routes and compare travel plans for trips with charging stops.

International Research Projects

EU Horizon 2020 (EOSC-Nordic project funded by H2020), Leading Nordforsk. Dr A. Brilingait臈, Dr L. Bukauskas and E. Kutka. 2019鈥�2022.

European open science cloud infrastructure as a service was investigated and considered with local legal context.

EU Horizon 2020 research and innovation programme under the Marie Sk艂odowska-Curie Actions 鈥� Innovative Training Networks (ITN) funding scheme (H2020-MSCA-ITN-2019), GRAPES 鈥� Learning, Processing and Optimising Shapes (No. 860843). Project coordinator: Prof. I. Emiris, ATHENA RIC, Greece, Dr R. Krasauskas and Dr S. Zub臈. 2019鈥�2023.

The list of participating organizations involves 11 academic members and 6 industrial partners across Europe. Project coordinator: Prof. I. Emiris, ATHENA RIC, Greece. 911爆料网 team leader: Dr R. Krasauskas. GRAPES aims at considerably advancing the state of the art in Mathematics, Computer-Aided Design, and Machine Learning in order to promote game changing approaches for generating, optimising, and learning 3D shapes, along with a multisectoral training for young researchers. Totally15 PhD students were recruited during year 2020 and just started their research programs in different participating countries.

Main publication:

R. Krasauskas, S. Zube, Kinematic interpretation of Darboux cyclides, Computer Aided Geometric Design, Vol. 83, Nov 2020.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Aalborg University (Denmark)
CERN (Switzerland)
Financial Crime Investigation Service (Lithuania)
Strategeens, JSC (Lithuania)
ART21, JSC (Lithuania)

OTHER RESEARCH ACTIVITIES

Prof. Emeritus F. Ivanauskas 鈥�

deputy chairman of the Division of Mathematical, Physical and Chemical Sciences of the Lithuanian Academy of Sciences, ;
member of the Lithuanian Academy of Sciences, ;
President of the Lithuanian Association of Nonlinear Phenomena Researchers, ;
Honorary Editor of the journal Nonlinear Analysis: Modelling and Control, ;
editorial board member of the Lithuanian Mathematical Journal, ;
editorial board member of the journal Mathematical Modelling and Analysis,

Prof. A. Juozapavi膷ius 鈥�

editorial board member of the journal Nonlinear Analysis: Modelling and Control,

Assoc. Prof. A. Brilingait臈 鈥�

member of Association for Computing Machinery (ACM),

Assoc. Prof. L. Bukauskas 鈥�

Board member of Technical Committee No. 86 for Digital geographic information at the Department of Standardization.Assoc.

Prof. R. Krasauskas 鈥�

editorial Board member of the journal Lithuanian Mathematical Journal,

MOST IMPORTANT PARTICIPATION CASES OF RESEARCHERS IN WORKING GROUPS OR COMMISSIONS SET UP BY STATE AUTHORITIES, STATE AND MUNICIPAL INSTITUTIONS, ORGANISATIONS, BUSINESS ENTITIES

Assoc. Prof. L. Bukauskas 鈥� member of the National Cyber Security Board under Ministry of Defence of the Republic of Lithuania; vice-President of non-profit organisation Geens.com vzw, Belgium.
Assoc. Prof. V. Rap拧evi膷ius 鈥� member of the Open Data Board under Ministry of Economy of the Republic of Lithuania.

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES

A short monologue by Dr. A. Brilingait臈. VU MIF on Facebook. Students鈥� feedback 鈥� a communication channel between students and teaching staff)

DEPARTMENT OF COMPUTER SCIENCE

47 Didlaukio, LT- 08303 Vilnius
Tel. 219 5001
E-mail:
Head- Prof. Dr Rimantas Vaicekauskas

STAFF

Professors: Dr R. Vaicekauskas, Dr L. Laibinis (part-time), Dr A. Raudys (part-time).
Researcher: Dr L. Laibinis (part-time).
Senior researcher: Dr Habil. 艩. Raudys.
Teaching assistants: Dr J. Andrikonis, Dr A. Bir拧tunas, Dr V. Di膷i奴nas, Dr H. Giedra (part time), Dr L. Litvinas, Dr G. Skersys.
Professor of practice: Dr D. Baronas(part- time), Dr R. Kybartas (part-time).
Associate professors of practice: S. Grigaitis (part- time), A. Janeli奴nas (part-time), R. Masiulis (part-time), L. Ri膷kus (part-time).
Lecturers: S. Bla啪i奴nas (part-time), Dr R. Dzindzalieta (part-time), M. Grubliauskis (part- time), K. Mizara (part-time), M. Plukas (part-time), I. Radavi膷ius.

RESEARCH INTERESTS

Formal modelling and verification of distributed software-based systems
Quantitative assessment of complex computer-based systems
Automated formal reasoning about system correctness using interactive proof assistants
Combinatorial search in large number theory problems
Colour rendering of light sources and its applications
Global optimization of single criteria functions
Computational modelling and optimisation of bioreactors
Qualified electronic signature and applications
Error-correcting codes
Computational intelligence and machine learning
Financial data analysis using computational intelligence methods
Temporal and modal logics
Neural networks, pattern recognition

RESEARCH PROJECTS CARRIED OUT IN 2020

Projects Supported by University Budget

Advanced Computational Intelligence Methods in Computer Science and its Applications in Information Technologies. Prof. R. Vaicekauskas. 2017鈥�2020.

Application of formal methods to automated verification of well-formedness and semantic correctness of data sets from the railway domain has been investigated. Novel validation approach based on statistical testing of automatically generated verification conditions against pre-validated data sets was developed.

A global optimization algorithm hybridizing a version of Bayesian global search with local minimization was proposed. The performance of the proposed algorithm was illustrated by the results of a numerical experiment.

Gentzen type sequent calculi for logic of likelihood and propositional linear temporal logic with the operators 鈥渘ext鈥� and 鈥渦ntil鈥� have been developed.

Main publications:

Giedra, H., Alonderis, R. Automated proof search system for logic of correlated knowledge. American Journal of Mathematical and Computer Modelling. 2020, 5(2): 29鈥�42.

Alonderis, R., Giedra, H. A proof-search system for the logic of likelihood. Logic Journal of the IGPL. 2020, 28(3): 261鈥�280.

沤ilinskas, A., Litvinas, L. A hybrid of the simplicial partition-based Bayesian global search with the local descent. Soft Comput. 2020, 24: 17601鈥�17608.

National Research Projects

Scientific group project Investigation of Traditional Logic of Modalities Using Modern Logic Theories and Information Technology (No P-MIP-19-51). 2019鈥�2022.

Contractual Research

Airspace Planning and Analysis (No. 1.57, 15600-INS-65). Dr R. Vaicekauskas. 2020鈥�2021.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Pattern recognition and Applications LAB, Department of Electrical and Electronic Engineering, University of Cagliari (Italy)
Department of Economics and Finance, LUISS Guido Carli, Rome (Italy)
Dependability group, School of Computing, Newcastle University (UK)
Office of the Government of the Republic of Lithuania

OTHER RESEARCH ACTIVITIES

Prof. Dr Habil. 艩. Raudys鈥�

editorial board member of the journal Informatica,

Prof. L. Laibinis 鈥�

program committee member of the International Workshop on Knowledge and MOdel-driven Engineering in Formal Development of Trustworthy Systems (KMOTS);
program committee member of the International Workshop on Software Engineering for Resilient Systems (SERENE).

MOST IMPORTANT PARTICIPATION CASES OF RESEARCHERS IN WORKING GROUPS OR COMMISSIONS SET UP BY STATE AUTHORITIES, STATE AND MUNICIPAL INSTITUTIONS AND ORGANISATIONS, AND BUSINESS ENTITIES

Prof. R. Vaicekauskas 鈥� board member of association INFOBALT (representative of Lithuanian ICT industry) (until 1st April 2020). The association has more than 160 members, including national and global businesses, universities, colleges and research institutions involved in ICT education, employing more than 10,000 experienced ICT professionals, teachers and researchers.

CONSULTATIONS PROVIDED BY THE UNIT TO THE PUBLIC OR ECONOMIC ENTITIES

Prof. A. Raudys 鈥� researcher-consultant in a business project Development of Smart Bus Size and Schedule Optimization System; research consultant in a business project Development of SME Credit Risk Prediction System; research consultant in a business project Autonomous Electric Barge development for shallow rivers.

DEPARTMENT OF MATHEMATICAL COMPUTER SCIENCE

47 Didlaukio, LT-08303 Vilnius
Tel. 219 5030
Email:
Head 鈥� Assoc. Prof. Dr Vilius Stak臈nas

STAFF

Professors: Dr Habil. M. Bloznelis, Dr S. Gra啪ulis (part-time), Dr Habil. 沤. Luk拧ien臈 (part-time),
Associate professors: Dr G. Bareikis, Dr A. Ma膷iulis, Dr V. Stak臈nas, Dr V. Zacharovas.
Lecturer: I. Grinis.
Researcher: Dr G. Alkauskas.
Doctoral student: D. Ardickas

RESEARCH INTERESTS

Probabilistic analysis of number-theoretical structures
Combinatorial statistics
Random discrete structures and algorithms

RESEARCH PROJECTS CARRIED OUT IN 2020

Projects Supported by University Budget

Analysis of Discrete Structures by Probabilistic, Combinatorial and Analytical Methods.
Prof. M. Bloznelis, Assoc. Prof. A. Ma膷iulis. 2017鈥�2022.

Two unique Beltrami vector fields are constructed such that both have an orientation-preserving icosahedral symmetry. Both of them have an additional symmetry with respect to a non-trivial automorphism of the number field Q(5).Relations between the local properties (degree, clustering) and

global properties (component evolution, percolation, cover time) of sparse affiliation networks have been explored.

A two dimensional Dirichlet distribution was modelled by means of the sequences of distributions related to the generalized divisors function.

Main publications:

Alkauskas, G. Beltrami vector fields with an icosahedral symmetry. Journal of Geometry and Physics. 2020, 153(103655): 1鈥�14.

Bloznelis, M. A Note on the vertex degree ddistribution of random intersection graphs. Lithuanian Mathematical Journal. 2020, 60(4): 452鈥�456.

Bareikis, G., Ma膷iulis, A. Modelling the Dirichlet distribution using multiplicative functions. Nonlinear Analysis. 2020, 25(2): 282鈥�300.

Rybarczyk, K., Bloznelis, M., Jaworski, J., A note on the conductance of the binomial random intersection graph. Algorithms and models for the Web graph: 17th International Workshop, WAW 2020, Warsaw, Poland, September 21鈥�22, 2020: proceedings. Cham: Springer, 2020. p. 124-134.

Bloznelis, M., Karjalainen, J., Leskel盲, L. Assortativity and bidegree distributions on Bernoulli random graph superpositions. Algorithms and models for the Web graph: 17th International Workshop, WAW 2020, Warsaw, Poland, September 21鈥�22, 2020: proceedings. Cham: Springer, 2020. p. 68-81.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Aalto University (Finland)
Poznan Adam Mickiewicz university (Poland)

OTHER RESEARCH ACTIVITIES

Dr G. Alkauskas 鈥�

member of the Lithuanian Mathematical Society,
member of the American Mathematical Society,

Assoc. Prof. G. Bareikis 鈥�

member of the Lithuanian Mathematical Society,

Prof. M. Bloznelis 鈥�

editorial board member of the Lithuanian Mathematical Journal,
member of the Lithuanian Mathematical Society,

Assoc. Prof. A. Ma膷iulis 鈥�

member of the Lithuanian Mathematical Society,

Assoc. Prof. V. Stak臈nas 鈥�

member of the Lithuanian Mathematical Society,
member of the American Mathematical Society,

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES

Dr. G. Alkauskas 鈥� TV program about Hermann Minkowski on Lithuanian national TV, two lessons for TV project "The school of creativity" (Lithuanian National Television).

DEPARTMENT OF SOFTWARE ENGINEERING

47 Didlaukio, LT-08303 Vilnius
Tel. 219 5040
E-mail:
Head 鈥� Dr Karolis Petrauskas

STAFF

Professor: Dr R. Baronas.
Professors of practice: Dr V. A拧eris (part-time), Dr D. Sauli奴nas (part-time), Dr G. Slivinskas (part-time).
Associate professors: Dr V. 膶yras, Dr S. Dapk奴nas, Dr K. Lapin, Dr K. Petrauskas, Dr S. Ragai拧is.
Associate professors of practice: Dr G. Alzbutas (part-time), V. Jusevi膷ius (part-time), V. Pozdniakov (part-time).
Teaching assistants: Dr 沤. Ledas (part-time), Dr S. Peld啪ius (part-time), Dr L. Petkevi膷ius, Dr T. Plankis, Dr V. Valaitis.
Research assistants: B. Dapk奴nas (part-time), Dr R. Savukynas (part-time).
Lecturers: A. Gimbutas (part-time), S. Girdzijauskaite (part-time), D. Kimutis (part-time), Dr E. Pakalnickien臈 (part-time), L. Povilavi膷i奴t臈 (part-time), J. Ragai拧is (part-time), G. Rim拧a (part-time), V. Savin (part-time), T. Smagurauskas (part-time), A. 艩imkus (part-time), T. Tumasonis (part-time), K. Uosis (part-time), Dr A. Vaitkevi膷ien臈 (part-time), R. 沤ag奴nien臈 (part-time).

RESEARCH INTERESTS

Software process modelling, assessment and improvement
Interoperability of electronic documents
Learning process assessment and improvement
Teaching software engineering
User experience quality models
Decision support in time-critical systems
Legal informatics and artificial intelligence
Modelling and computational calculations
Computational modelling of chemical and biological processes and systems
Formal methods in software engineering for distributed systems
Deep learning models in computer vision
Deep learning application for medical image analysis

RESEARCH PROJECTS CARRIED OUT IN 2020

Projects Supported by University Budget

Modelling of Computerized Systems and their Development Process. Assoc. Prof. K. Petrauskas. 2019鈥�2022.

DevOps processes modelled, investigated and their behaviour assessed.
Outliers identification tests proposed for statistical data.
Computational model extended for the self-organization of E. coli cells and microreactors.
Formal specification for the feature configuration problem was elaborated.
Correctness of a spacegroup generation algorithm for crystallography was developed.
Formalization and visualization of legal was investigated.

Main publications:

Bagdonavi膷ius, V., Petkevi膷ius, L. A new multiple outliers identification method in linear regression. Metrika. 2020, 83: 275鈥�296. doi: 10.1007/s00184-019-00731-8.

Bagdonavi膷ius, V., Petkevi膷ius, L. Multiple outlier detection tests for parametric models. Mathematics. 2020, 8: 2156. doi:10.3390/math8122156.

膶yras, V., Lachmayer, F. Legal visualisation in the digital age: From textual law towards human digitalities. In: W. H枚tzendorfer et al. (eds.) International Trends in Legal Informatics, pp. 61鈥�76. Editions Weblaw, Bern.

Kunigenas, L., Stankevicius, V., Dulskas, A., Budginaite, E., Alzbutas, G., Stratilatovas, E., Cordes, N., Suziedelis, K. 3D cell culture-based global miRNA expression analysis reveals miR-142-5p as a theranostic biomarker of rectal cancer following neoadjuvant long-course treatment. Biomolecules. 2020, 10: 613.

膶yras, V., Lachmayer F. Analogical methods in legal informatics. In: E. Schweighofer et al. (eds.) Responsible Digitalization: Proceedings of the 23rd International Legal Informatics Symposium IRIS 2020, pp. 397鈥�404. Editions Weblaw, Bern. Online in Jusletter IT, 27 May 2020.

National Research Projects

Research Council of Lithuania. Computational Modelling of Open Biological Systems: Growing Bacteria and Microreactors (No. S-MIP-17-98). Head - Prof. Dr R. Baronas, Assoc. Prof. Dr K. Petrauskas. 2017鈥�2020.

Two important kinds of open systems are computationally modelled and investigated: (1) biocatalytical systems, where a large number of microbioreactors are placed in a container filled with liquid, and (2) systems of active particles like bacteria moving in confined structures. New computational models have been developed and applied for the simulation and analysis of enzyme-based microbioreactor systems acting in continuous flow and batch modes. Tools for investigating dynamics of bacteria populations in fluids were developed.

Main publication:

Baronas, R., Kulys, J. & Petkevi膷ius, L. Modelling carbohydrates oxidation by oxygen catalysed by bienzyme glucose dehydrogenase/laccase system immobilized into microreactor with carbon nanotubes. J Math Chem. 2020.

European Union Investment Measures

Lithuanian Business Support Agency. Cross-Border Electronic Documents (No. J05-LVPA-K-03-0145). Cooperating with Mit-Soft Ltd. Head of VU part 鈥� Assoc. Prof. Dr S. Ragai拧is. 2018鈥�2020.

Software prototype for creation of e-document鈥檚 multiple exemplars of ASiC and PAdES formats defined in EU eIDAS regulation.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

University of Vienna (Austria)
National Cancer Institute (Lithuania)
Center for Physical Sciences and Technology (Lithuania)
National Cancer Institute (Lithuania)
Nature Research Centre (Lithuania)

OTHER RESEARCH ACTIVITIES

Prof. R. Baronas 鈥�

deputy editor-in-Chief of the Nonlinear Analysis: Modelling and Control Journal, ;
editorial board member of the Baltic Journal of Modern Computing Journal, ;
editorial board member of the International Journal of Artificial Intelligence,
editorial board member of the journal Informatica, ; member of Association for Computing Machinery (ACM);
Chairman of Research Council of Lithuania,

Assoc. Prof. V. 膶yras 鈥�

program committee member of IRIS 2020, International Legal Informatics Symposium, Salzburg,
program committee member of EGOVIS 2020, International Conference on Electronic Government and the Information Systems Perspective, Bratislava,
program committee member of EGOSE 2020, International Conference on Electronic Governance and Open Society: Challenges in Eurasia, St.Petersburg,

Assoc. Prof. K. Lapin 鈥�

scientific collaboration with the Systems Research Institute of the Polish Academy of Sciences, prof. Ignacy Kaliszewski鈥檚 scientific group.

Assoc. Prof. S. Ragai拧is 鈥�

advisory board member of International project Enterprise SPICE,

Dr Linas Petkevi膷ius 鈥�

editorial board member of the Nonlinear Analysis: Modelling and Control Journal,
board member of Artificial Intelligence Association of Lithuania (AIAL);
member of Institute of Electrical and Electronics Engineers (IEEE);
member of Lithuanian Computer Society (LIKS);
expert representative of Lithuanian Standards Board.

MOST IMPORTANT PARTICIPATION CASES OF RESEARCHERS IN WORKING GROUPS OR COMMISSIONS SET UP BY STATE AUTHORITIES, STATE AND MUNICIPAL INSTITUTIONS, ORGANISATIONS, BUSINESS ENTITIES

Dr Linas Petkevi膷ius 鈥� provided a feedback for an AI regulation white paper in cooperation with European AI Alliance; participated in the activities of the Lithuanian Standards Board, section 42

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES

Dr Vytautas A拧eris 鈥�
Dr Linas Petkevi膷ius 鈥� interview for a radio station: "How artificial intelligence can save economics of Lithuania and Europe"; invited lecture for Business school on cloud computing.

CYBERSECURITY LABORATORY

47 Didlaukio, LT-08303 Vilnius
Tel. 219 5002
E-mail: ,
Head 鈥� Assoc. Prof. Dr Linas Bukauskas

STAFF

Associate professors: Dr A. Brilingait臈, Dr L. Bukauskas.
Lecturers: V. Krinickij, E. Kutka.
Internships: E. Rimkus, Piciu Florin-Alexandru (Erasmus+, Romania), Nita Elena-Andreea (Erasmus+, Romania).
Visiting professors: Dr Stefan Sutterlin (Norway) and Dr Ricardo Gregorio Lugo (Norway).

RESEARCH INTERESTS

Computer networks
Cloud and parallel computing, virtualization
Cyber security
Digital forensics
Training environments for cybersecurity
Education in computer science and cybersecurity

RESEARCH PROJECTS CARRIED OUT IN 2020

Projects Supported by University Budget

Research on Detection of Premeditated Security Vulnerabilities in Mobile Applications and New Efficient TKHC-Based Image Sharing Scheme Over Unsecured Channel Was Conducted. Assoc. Prof. Dr L. Bukauskas. 2019鈥�2023.

Rising numbers and sophistication of security threats in the digital domain cause an increase in the demand for skilled cybersecurity professionals. In response, cybersecurity exercises, and in particular - cyber defence exercises (CDX) are becoming ever more popular. They provide a training platform to simulate real-life situations. CDX are significant events involving months of preparation, and previous studies show a lack of objective evidence of their relevance regarding the learning impact. Skills of exercise participants are usually different and vary from tech-savvy to beginners. Also, trainees are diverse when considering their background, current work profile (position and institution), and experience. Assessment of their competencies is essential to ensure quality in training. The project aims were to investigate information sharing techniques during CDX events and cryptographic methods for efficient video image sharing.

Main publication:

Brilingait臈, A., Bukauskas, L. and Juozapavi膷ius, A. A framework for competence development and assessment in hybrid cybersecurity exercises. Computers & Security. 2020, 88: 101607. DOI: 10.1016/j.cose.2019.101607.

National Research Projects

Competition III. Projects in areas of natural sciences, technology, medical and health sciences, 2020. L. Laibinis, S. Gra啪ulis, L. Bukauskas.

Collaborative event Amber Mist 2020. Project leader Dr Linas Bukauskas, Dr A. Brilingait臈, V.Krinickij and E. Kutka.

The development of Defence-oriented Cyber Security Training Platform and infrastructure as well as the development of methodologies and experimental Incident evaluation of digital forensics analysis and process handling in Cyber Security Training Platform (Table-top) for Cyber Security Exercises.

Baltic Research Programme EEA Grant.) ADVANCES: Advancing Human Performance in Cybersecurity (No S-BMT-21-6 (LT08-2-LMT-K-01-051). Project leader - Dr A. Brilingait臈, L. Bukauskas. 2021鈥�2023.

This project focuses on human performance improvement. Human error is the leading cause of data and security breaches. It has been proven in many cyber crises that the strength of the cyber resiliency capability is highly related to the resiliency of a human at play and coordinated actions of relevant actors. Cybersecurity strategies of the three Baltic countries unanimously emphasize the lack of cybersecurity specialists and the need to fill this gap by strengthening knowledge exchange and education programs. A coherent interdisciplinary approach that encompasses technology and human aspects is crucial to create new innovative training methods and environments in order to overcome the rising security problems. This project aims to establish a new interdisciplinary collaborative network among leading Baltic, Liechtenstein, and Norwegian research institutions. The network has been supported by national/international organizations and a private sector company. The recent development of crisis (such as COVID-19) handling shows the impact of digital technologies where human behaviour and comprehensive understanding of cybersecurity surpasses infrastructural technological solutions. Most economic sectors in Europe depend increasingly on protection against cybercrime. Moreover, IT security workers should be prepared for the future cyber crisis that may have a devastating impact on the national economy and security. The close and continuous cross-border cooperation with the national/international institutions and the private company ensures that the research outcomes will help fulfil these objectives. The project will further increase the sustainability of the outcomes by implementing long-term educational training schemes, ongoing student-/staff mobility between academic partners, involving students in private enterprises, and the integration of private enterprises into educational development.

MAIN RESEARCH ACHIEVEMENTS IN 2020

Overcoming information sharing challenges in cyber defence exercises.
CyberGenomics: approaches for personalized risk assessment.
Financial crime patterns analysis methods in digital economy.
Algorithm for incident alignment of asynchronous processes.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Armed forces of Lithuania (Lithuania)
Aalborg University (Denmark)
General Jonas 沤emaitis Military Academy of Lithuania (Lithuania)
Norwegian University of Technical and Natural Sciences 鈥� NTNU (Norway)
Liechtenstein University (Liechtenstein)
脴stfold University College (Norway)
University of Padua (Italy)
Ryga Technical University (Latvia)
Strategeens, JSC (Lithuania)
Tallinn Technical University (Estonia)
Tartu University (Estonia)
Vidzeme University of Applied Sciences (Latvia)

OTHER RESEARCH ACTIVITIES

Assoc. Prof. A. Brilingait臈 鈥�

member of Association for Computing Machinery (ACM), .

Assoc. Prof. L. Bukauskas 鈥�

Board member of Technical Committee No. 86 for Digital geographic information at the Department of Standardization.

MOST IMPORTANT PARTICIPATION CASES OF RESEARCHERS IN WORKING GROUPS OR COMMISSIONS SET UP BY STATE AUTHORITIES, STATE AND MUNICIPAL INSTITUTIONS, ORGANISATIONS, BUSINESS ENTITIES

Assoc. Prof. L. Bukauskas 鈥� member of the National Cyber Security Board under Ministry of Defence of the Republic of Lithuania; expert/Reviewer of research project proposals, European Commission; expert/Monitor of executed research projects, European Commission; vice-President of non-profit organisation Geens.com vzw, Belgium.

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES

Dr L. Bukauskas. Science popularisation video, 鈥濵okslo ritmu鈥�: nacionalinis kibernetinis saugumo centras (Rhythm of Science: National cybersecurity centre), 2020.
Dr L. Bukauskas. Aired in direct Panorama on National Radio & TV comment regarding law decriminalizing ethical hacking, 2020.
Dr L. Bukauskas. Mmentioned in the article 鈥淚ntegrated days of knowledge of Mathematics & Informatics鈥�, K. Donelaitis gymnasium website, 2020.
Dr L. Bukauskas. Ccomment on National Radio and TV website Identity theft by sending Facebook messages//鈥溾€濬acebook鈥� 啪inutes siun膷iantys suk膷iai siekia pasisavinti vartotoj懦 tapatybes, 2020.
Dr A. Brlingait臈, Dr L. Bukauskas, V. Krinickij and E. Kutka. Mmentioned in VU newslet 鈥淰U professors and studens participated in cybersecurity exercises鈥�//VU MIF d臈stytojai ir studentai dalyvavo kibernetinio saugumo pratybose, 2020.

INSTITUTE OF MATHEMATICS

24 Naugarduko, LT鈥�03225 Vilnius
Tel.: 219 3085
E-mail
Director 鈥� Prof. Dr Jonas 艩iaulys

STAFF

Professors: Dr G. Bak拧tys (Pofessor f practice), Dr P. Drungilas, Dr R. Garunk拧tis (part-time), Dr A. Linartas (Professor of practice), Dr Habil. V. Mackevi膷ius, Dr Habil. E. Manstavi膷ius (emeritus), Dr Habil. V. Paulauskas (emeritus), Dr G. Stepanauskas, Dr J. 艩iaulys.
Associate professors: Dr A. Bal膷i奴nas, Dr A. Elijio, Dr E. Gaigalas, Dr A. Grigutis, Dr R. Ka拧uba, Dr M. Manstavi膷ius, Dr E. Maz臈tis.
Research professors: Dr R. Garunk拧tis (part-time), Dr Habil. A. Dubickas, Dr Habil. A. Laurin膷ikas.
Senior researcher: Dr J. Jankauskas (part-time).
Teaching assistants: Dr J. Damarackas, Dr D. Dzindzalieta, Dr E. Globien臈, Dr E. Jaun臈, Dr E. Karikovas, Dr A. Lenk拧as, Dr A. Novikas, Dr A. Sku膷ait臈, Dr V. Stepas, Dr R. 艩im臈nas, Dr R. Tamo拧i奴nas (part-time), Dr A. Zinevi膷ius.
Research assistants: G. Bagdonas, E. Gutauskait臈, V. Jurgelevi膷ius, G. Liaudanskait臈, L. Maciulevi膷ius.
Lecturers: 艩. Dirmeikis, Dr. A. Ka膷臈nas (part-time), I. Mikul臈nas (part-time).
Affiliated associate professors: Dr R. Kud啪ma, Dr G. Misevi膷ius.
Doctoral students: G. Bagdonas, M. Burbulevi膷ius, N. Denisenko, G. Gangopadhyay, E. Gutauskait臈, R. Gylys, M. Jasas, G. Junevi膷ius, V. Jurgelevi膷ius, J. Karasevi膷ien臈, L. Klebonas, G. Lileika, V. Luk拧ien臈, L. Kaziulyt臈, T. Kuras, M. Montessinos, L. Maciulevi膷ius, G. Mongirdait臈, S. Pauk拧tys, R. Pui拧ys, J. Sprindys, A. 艩mergelyt臈, P. Tarasov, M. Tekor臈, G. Vadeikis, A. Vaiginyt臈, G. Ziezys, B. 沤emaitien臈.

DEPARTMENTS OF INSTITUTE

Department of Mathematical Analysis
Department of Probability Theory and Number Theory
Group of Analytic Number Theory
Center for Mathematics Education

RESEARCH AREAS

Fundamental mathematics: number theory, probability theory, stochastic analysis, risk theory
Applied mathematics: mathematical statistics, mathematical modelling, finance and insurance mathematics, mathematical didactics

BEST REPORTS DELIVERED AT CONFERENCES ABROAD

M. Manstavi膷ius, G. Bagdonas, E. Gutauskait臈. Certain copula transformations: From 2D to 3D. 13th International Conference of the ERCIM WG on Computational and Methodological Statistics, Virtual conference, 19鈥�21 December 2020.

R.Gylys. Modelling uncertainty in human mortality projections using state-space Lee-Carter. StatMod2020: Statistical Modeling with Applications. Virtual conference. 6鈥�7 November 2020.

MAIN SCIENTIFIC ACHIEVEMENTS IN 2020

Optimal lower and upper bounds were obtained for the variance of the linear statistics defined on random permutations with respect to the Ewens Sampling Formula.

The zero-free regions and the positions of the trivial zeros were established for the Lerch zeta function.
New nontrivial linear relations with conjugates of a Salem number have been established.
The closure property is established for sums of random variables from the convolution equivalent class.
The upper bound of exponential type was derived for the tail probability of maximum of sums with random summands having light-tailed distributions.

DEPARTMENT OF MATHEMATICAL ANALYSIS

24 Naugarduko, LT-03225 Vilnius
Tel.: 219 3085
E-mail
Head 鈥� Prof. Dr Jonas 艩iaulys

STAFF

Professors: Dr G. Bak拧tys (Professor of practice), Dr A. Linartas (Professor of practice), Dr Habil. V. Mackevi膷ius, Dr Habil. V. Paulauskas (Emeritus), Dr G. Stepanauskas, Dr J. 艩iaulys.
Associate professor: Dr M. Manstavi膷ius.
Teaching assistants: Dr J. Damarackas, Dr E. Globien臈, Dr E. Jaun臈, Dr A. Lenk拧as, Dr A. Sku膷ait臈.
Research assistants: G. Bagdonas, E. Gutauskait臈, V. Jurgelevi膷ius.
Lecturers: 艩. Dirmeikis, I. Mikul臈nas (part-time).
Affiliated associate professor: Dr R. Kud啪ma.

RESEARCH INTERESTS

Mathematical analysis
Heavy-tailed distributions
Probability limit theorems
Stochastic analysis
Stochastic numerics
Actuarial mathematics
Financial mathematics
Risk theory

RESEARCH PROJECTS CARRIED OUT IN 2020

Projects Supported by University Budget

Studies of Random Processes and Fields and Their Applications in Financial and Actuarial Mathematics. Prof. J. 艩iaulys. 2016鈥�2021.

The upper bound were derived for the tail probability of maximum of sums with random summands having light-tailed distributions. Upper bounds were obtained for the ruin probability in the risk model with stochastic premiums and a special dividend strategy. The alternatives were developed of the classical Lee-Carter mortality model in assessment of uncertainty of mortality rates forecast. The possible limiting processes are established for the partial-sums of linear processes with heavy-tailed tapered innovations. The weak approximations by discrete random variables are obtained for Chan-Karolyi-Langstaff-Sanders and Constant Elasticity of Variance models.

Main publications:

Kuras, T., Sprindys, J., 艩iaulys, J. Martingale approach to derive Lundberg-type inequalities. Mathematics. 2020, 8(10): 1742.

Lileika, G., Mackevi膷ius, V. Weak approximation of CKLS and CEV processes by discrete random variables. Lithuanian Mathematical Journal. 2020, 60(2): 208鈥�224.

Paulauskas, V. A note on linear processes with tapered innovations. Lithuanian Mathematical Journal. 2020, 60(1): 64鈥�79.

Ragulina, O., 艩iaulys, J. Upper bounds and explicit formulas for the ruin probability in the risk model with stochastic premiums and a multi-layer dividend strategy. Mathematics. 2020, 8(11): 1885.

National Research Projects

Research Council of Lithuania. Inhomogeneous Risk Models in Insurance and Finance
(No S-MIP-17-72). Prof. J. 艩iaulys. 2017鈥�2020.

The new algorithm was derived for calculating the values of ruin probability for the three-risk discrete time risk model. The closure property was established for sums of two random variables from convolution equivalent class. Sufficient conditions were found under which randomly stopped sums, randomly stopped maximums and randomly stopped maximums of sums have regularly varying distributions.

Main publications:

Grigutis, A., 艩iaulys, J. Ultimate time survival probability in three-risk discrete time risk model. Mathematics. 2020, 8(2): 147.

Leipus, R., 艩iaulys, J. On a closure property of convolution equivalent class of distributions. Journal of Mathematical Analysis and Applications. 2020, 490(1): 124226.

Sprindys, J., 艩iaulys, J. Regularly distributed randomly stopped sum, minimum, and maximum. Nonlinear Analysis: Modelling and Control. 2020, 25(3): 502鈥�522.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Taras Shevchenko National University of Kyiv (Ukraine)
M盲lardalen University (Sweden)
University of Siegen (Germany)
Tartu University (Estonia)
University of Bonn (Germany)
Soochow University (China)
Nanjing Audit University (China)
Polish Academy of Science, Institute of Mathematics (Poland)

OTHER RESEARCH ACTIVITIES

Prof. V. Mackevi膷ius 鈥�

section editor of the Lithuanian Mathematical Journal,
copyeditor of the Lithuanian Mathematical Journal;
member of the Lithuanian Mathematical Society,

Prof. V. Paulauskas (emeritus) 鈥�

editor-in-Chief board member of the Lithuanian Mathematical Journal;
member of the American Mathematical Society, ;
board member of the Lithuanian Mathematical Society, ;
member of the International Statistical Institute, ;
board member of the Lithuanian Statistical Society,
member of the Lithuanian Academy of Sciences, .

Prof. J. 艩iaulys 鈥�

editorial board member of the Lithuanian Mathematical Journal;
editorial board member of the Modern Stochastics: Theory and Applications;
editorial board member of the Nonlinear Analysis: Modelling and Control;
member of the Lithuanian Mathematical Society, .

Prof. G. Stepanauskas 鈥�

board member of the Lithuanian Mathematical Society, .

Prof. G. Bak拧tys 鈥�

member of the Lithuanian Actuarial Society .

Assoc. Prof. M. Manstavi膷ius 鈥�

president of the Lithuanian Statistical Society,
member of the Lithuanian Mathematical Society

Dr. A. Sku膷ait臈 鈥�

member of the Lithuanian Actuarial Society
Co-vice chairperson of Social Security Committee at International Actuarial Association.
member of Board of Health Section of International Actuarial Association.

R. Gylys 鈥�

member of the Lithuanian Actuarial Society
member of Insurance Accounting Committee of International Actuarial Association.

DEPARTMENT OF PROBABILITY THEORY AND NUMBER THEORY

24 Naugarduko, LT鈥�03225 Vilnius
Tel.: 219 3059
E-mail:
Head 鈥� Prof. Dr Habil. Art奴ras Dubickas

STAFF

Professors: Dr P. Drungilas, Dr Habil. E. Manstavi膷ius (emeritus).
Associate professors: Dr A.Bal膷i奴nas, Dr R. Ka拧uba, Dr E. Maz臈tis.
Research professors: Dr Habil. A. Dubickas, Dr Habil. A. Laurin膷ikas.
Senior researcher: Dr J. Jankauskas (part-time).
Teaching assistants: Dr A. Novikas, Dr V. Stepas, Dr A. Zinevi膷ius.
Lecturer: Dr A. Ka膷臈nas (part-time).
Affiliated associate professor: Dr G. Misevi膷ius.
Research assistant: L. Maciulevi膷ius.

RESEARCH INTERESTS

Algebraic numbers and polynomials
Analytic number theory
Combinatorics
Probabilistic number theory

RESEARCH PROJECTS CARRIED OUT IN 2020

Projects Supported by University Budget

Problems of Number Theory and Investigation of Roots of Polynomials. Prof. A Drungilas, Prof. A. Garunk拧tis, Prof. A. Dubickas, Prof. A. Laurin膷ikas, Prof. E. Manstavi膷ius. 2019鈥�2023.

Nontrivial linear relations with conjugates of a Salem number have been investigated. It was shown that for any positive integer m the number of residues in a Fibonacci type sequence modulo some m can be exactly m. Some extremal problems for polynomials with real roots have been studied and several new results obtained in that direction. In particular, we gave a rare explicit example of weighted Fekete points. New results on the joint approximation of collections of analytic functions by generalized discrete shifts of zeta-functions with periodic coefficients were obtained. Optimal lower and upper bounds for the variance of the linear statistics defined on random permutations with respect to the Ewens Sampling Formula were obtained. The sequences of Gram points and of imaginary parts of non-trivial zeros of the Riemann zeta function were applied to obtain discrete universality theorems in short intervals. The distribution of the zeros of the derivative of the Lerch zeta function was studied. We indicated the zero-free regions and the positions of the trivial zeros. Also, we considered an asymptotic formula for the number of nontrivial zeros and showed that almost all nontrivial zeros are arbitrarily close to the critical line. We obtained the Levinson-Montgomery type result for the Lerch zeta function and its derivative when parameters are equal.

Main publications:

Dubickas, A. Maximal values of symmetric functions in distances between points. Mathematical Inequalities & Applications. 2020, 23(1): 329鈥�339.

Korolev, M., Laurin膷ikas, A. A new application of the Gram points. II. Aequationes Mathematicae. 2020, 94(6): 1171鈥�1187.

Manstavi膷ius, E. Sharp bounds for the variance of linear statistics on random permutations. Random Structures & Algorithms. 2020, 57(4): 1303鈥�1313.

National Research Projects

Research Council of Lithuania. Arithmetical and Analytical Properties of Algebraic Numbers of Small Height (No. S-MIP-17-66/LSS-110000-1274). Dr P. Drungilas. 2017鈥�2020.

It was proved that for any field K and any polynomial f in the field K[x] of degree d, which is irreducible over K, there exists a degree d-1 polynomial g with coefficients in K such that the composition polynomial f(g(x)) is reducible over K. This answers a corresponding question recently raised by Ulas.

Main publication:

Drungilas, P., Dubickas, A. Reducibility of polynomials after a polynomial substitution. Publicationes Mathematicae Debrecen. 2020, 96(1鈥�2): 185鈥�194.

International Research Projects

European Social Fund. Approximations by Zeta-Functions and Algebraic Numbers (No. 09.3.3-LMT-K-712-01-0037). Prof. Dr Habil. A. Laurin膷ikas. 2017鈥�2021.

It was shown that there exists an infinite set of positive integers S such that for each d in S the open disc with centre at 尉 and some radius (given explicitly in terms of d) contains a full set of conjugates of an algebraic integer of degree d. A slightly better bound on the radius is established when 尉 is a rational number but not an integer. The discrete universality in short intervals for the Riemann zeta function was proved and the functional independence for compositions was extended. Joint universality for Dirichlet functions was obtained by using shifts twisted by the Gram function.

Main publications:

Dubickas, A. Small discs containing conjugate algebraic integers. Annales Academiae Scientiarum Fennicae Mathematica. 2020, 41(1): 601鈥�606.

Dubickas, A., Garunk拧tis, R., Laurin膷ikas, A. Approximation by shifts of compositions of Dirichlet L-functions with the Gram function. Mathematics. 2020, 8(5): 751.

Laurin膷ikas, A. On a generalization of Voronin鈥檚 theorem. Mathematical Notes. 2020, 107(3): 442鈥�451.

European Social Fund. An Investigation of the Selberg Zeta Function (No. 09.3.3-LMTK-712-19- 0030). Prof. Dr Habil. A. Dubickas (advisor), R. 艩im臈nas (postdoctoral student). 2020鈥�2022.

Presentation Value distribution of the higher-order derivatives of the extended Selberg class functions was made at the 61st LMD conference.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Moscow University (Russia)
University of New South Wales (Sydney, Australia)
Nagoya University (Japan)
W眉rzburg University (Germany)
Oklahoma State university (USA)
Montanuniversit盲t Leoben (Austria)

OTHER RESEARCH ACTIVITIES

Prof. A. Dubickas 鈥�

editor of the European Journal of Mathematics,
editorial board member of the Uniform Distribution Theory,
section editor of the Lithuanian Mathematical Journal,
leader of Lithuanian team at IMO,

Prof. P. Drungilas 鈥�

editorial board member of the Nonlinear Analysis: Modelling and Control;
member of the Lithuanian Mathematical Society, ;

Prof. A. Laurin膷ikas 鈥�

member of the Lithuanian Academy of Sciences,
member of the programme committee of the 18th Intern. Conference Algebra, Number Theory and Discrete Geometry: Modern Problems and Applications, ;
member of the program committee of the International Conference on Analytic Number Theory dedicated to 75th anniversary of G. I. Archipov and S. M. Voronin,14鈥�16 December 2020, Moscow,
editorial board member of the Lithuanian Mathematical Journal,
editorial board member of the Chebyshevskii Sbornik,
editorial board member of the Moscow Journal of Combinatorics and Number Theory,
editorial board member of the Mathematical Modelling and Analysis,

Prof. E. Manstavi膷ius (emeritus) 鈥�

member of the Lithuanian Academy of Sciences,
section editor of the Lithuanian Mathematical Journal,
editorial board member of the International Journal of Number Theory,
board member of the Lithuanian Mathematical Society,
individual member of the European Mathematical Society,

ANALYTIC NUMBER THEORY GROUP

24 Naugarduko, LT鈥�03225 Vilnius
Tel.: 219 3081
E-mail:
Head 鈥� Prof. Dr Ram奴nas Garunk拧tis

STAFF

Professor: Dr R. Garunk拧tis (part-time).
Associate professor: Dr A. Grigutis.
Research professor: Dr R. Garunk拧tis (part-time).
Teaching assistants: Dr E. Karikovas. Dr R. 艩im臈nas, Dr R. Tamo拧i奴nas (part-time).
Research assistant: L. Kaziulyt臈.

RESEARCH INTERESTS

Zeta functions
Multiplicative structures
Diophantine approximations
Risk models

OTHER RESEARCH ACTIVITIES

Prof. R. Garunk拧tis 鈥�

member of the programme committee of the 61th conference of the Lithuanian Mathematical Society;
associate Editor of the Lithuanian Mathematical Journal.

THE CENTER FOR MATHEMATICS EDUCATION

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3075
E-mail:
Head 鈥� Prof. Dr Habil. Rimas Norvai拧a

STAFF

Professors: Dr Habil. A Dubickas, Dr P. Drungilas, Dr Habil. R. Norvai拧a.
Associate professors: Dr A. Elijio, Dr R. Ka拧uba, Dr E. Maz臈tis.
Teaching assistant: Dr A. Novikas.
Affiliated associate professor: Dr R. Kud啪ma.
Doctoral students: V. Mie啪ys, I. Kilien臈

RESEARCH INTERESTS

Research of pedagogical content knowledge of teachers of mathematics and content analysis of elementary mathematics
Research of mathematical problems and mathematical models
Development of working methods with children gifted in mathematics

RESEARCH PROJECTS CARRIED OUT IN 2020

Projects Supported by University Budget

Mathematics Education Research. Prof. Dr Habil. R. Norvai拧a. 2020鈥�2024.

Mathematics education philosophy and politics. Establishment of methodical material of elementary mathematics for teachers. Research and creation of word problems motivating mathematical reasoning. Making dictionary of concepts of school mathematics.

Main publications:

Ka拧uba, R., Maz臈tis, E. Can we pose problems that are attractive, yet accessible to many. Engaging young students in mathematics trough competitions, world perspectives and practices. World Scientific. 2020, 1: 87鈥�107.

Projects supported by the National Agency for Education

Development of the System to Supervise Students鈥� Achievements and Creation of Instruments to Establish Accumulative Assessments (No. 09.2.1-ESFA-V-706-02-0001). Participants V. Mie啪ys, R. Norvai拧a.

Creation and Implementation of Digital Educational Content (No. 09.2.1-ESFA-V-726-03-0001). Participants E. Maz臈tis, R. Norvai拧a.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Tartu University (Estonia)

OTHER RESEARCH ACTIVITIES

Prof. Dr A. Dubickas 鈥�

leader of Lithuanian team at IMO; ,

Assoc. Prof. R. Ka拧uba 鈥�

board member of Lithuanian Mathematical Society,
board member of Lithuanian Kangaroo Committee, ;
editorial board member of the MCG Mathematical Creativity and mathematical Giftedness newsletter, Editor of Problem corner, www.igmcg.org/newsletter.html ;
participation at Kangaroo annual meetings, www.kengura.lt;
member of WFNMC program committee,
board member of Lithuanian school of young mathematicians,

Affiliated Assoc. Prof. R. Kud啪ma 鈥�

editorial committee member of the journal Nordisk Matematikk Didaktikk, Nordic Studies in Mathematics Education;
board member of Lithuanian Mathematical Society,

Assoc. Prof. E. Maz臈tis 鈥�

board member of Lithuanian Mathematical Society, ;
board member of Lithuanian Mathematics Teachers Society, ;
head of Lithuanian School of Young Mathematicians,

Prof. R. Norvai拧a 鈥�

editorial board member of the Lithuanian Mathematical Journal, ;
associate editor of the North-Western European Journal of Mathematics
a representative of Lithuania in International Commission on Mathematical Instruction
a member of consultation board for Universal Lithuanian Encyclopaedia;
a nominated expert of the Lithuanian Government in Education working group of OECD.

Dr A. Novikas 鈥�

leader of Lithuanian team at MEMO and EgMO, ,
participation at Kangaroo annual meetings, www.kengura.lt;
board member of Lithuanian School of Young Mathematicians,

Assoc. Prof. A. Elijio 鈥�

expert member of the project 鈥淒eveloping the recognition of students鈥� academic capacities and the quality of their education鈥�,

MOST IMPORTANT NATIONAL AND INTERNATIONAL AWARDS RECEIVED FOR R&D ACTIVITIES

鈥� K臋stutis Kubilius and Jonas 艩iaulys. Lithuanian Science Prize in the field of physical sciences for the work cycle "Analysis of Stochastic Differential Equations and Insurance Models"
鈥� Antanas Laurin膷ikas. Rector's Science Award for significant scientific achievements in 2020.

MOST IMPORTANT PARTICIPATION CASES OF RESEARCHERS IN WORKING GROUPS OR COMMISSIONS SET UP BY STATE AUTHORITIES, STATE AND MUNICIPAL INSTITUTIONS, ORGANISATIONS, BUSINESS ENTITIES

International Actuarial Association, : Dr A. Sku膷ait臈 is co-vice chairperson of Social Security Committee and member of Health Section Board. Doctoral student R. Gylys is member of Insurance Accounting Committee.
Institute and Faculty of Actuaries, : doctoral student R. Gylys is a member of the Institute.
鈥� Lithuanian Actuarial Society, : Prof. G. Bak拧tys, Dr. A. Sku膷ait臈 and doctoral student R. Gylys are members of the Society.
Lithuanian Statistical Society, : Dr M. Manstavi膷ius is president of the Society; Prof. V. Paulauskas is a member of the Society.

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES

Radio show,鈥滵e拧imt bal懦: 漠 kuri膮 pus臋 kinta m奴s懦 moksleivi懦 pasiekimai tarptautiniuose tyrimuose?鈥� 10 December 2020. Prof. R. Norvai拧a
Radio show,鈥漊gdymo meistrai. Pokalbis: Kod臈l matematika?鈥� 22 August 2020. Prof. R. Norvai拧a.
Radio show, 鈥滾RT Aktualij懦 studija: K膮 matematikos brandos egzamino rezultatai rodo apie m奴s懦拧vietimo sistem膮?鈥� 06 August 2020. Prof. R. Norvai拧a.
9th Meeting of Lithuanian Young Mathematicians, : Prof. P. Drungilas, Prof. J 艩iaulys, Dr M. Manstavi膷ius, Dr A. Grigutis, doctoral students J. Sprindys, G. Bagdonas.

INSTITUTE OF APPLIED MATHEMATICS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3050
E-mail: ,
www
Director 鈥� Prof. Dr Habil. Remigijus Leipus

STAFF

Professors: Dr A. Ambrazevi膷ius, Dr Habil. V. Bagdonavi膷ius, Dr Habil. V. 膶ekanavi膷ius, Dr P. Katauskis, Dr Habil. G. Panasenko (Distinguished Professor), Dr Habil. D. Surgailis (emeritus), Dr O. 艩tikonien臈, Dr V. Kazakevi膷ius, Dr Habil. R. Leipus, Dr Habil. R. Norvai拧a (part-time), Dr Habil. K. Pileckas (part-time), Dr Habil. A. Ra膷kauskas (part-time), Dr Habil. M. Radavi膷ius (part-time).
Researchers: Dr K. Kar膷iauskas, Dr R. Norvai拧a (part-time), Dr Habil. K. Pileckas (part-time), Dr Habil. A. Ra膷kauskas (part-time), Dr A. 艩tikonas, Dr R. Vidunas (part-time).
Associate professors: Dr R. Eidukevi膷ius, Dr K. Kaulakyt臈 (part-time), Dr A. Kreg啪d臈, Dr R. Levulien臈, T. Mar膷iulaitis (Partnership), Dr J. Markevi膷i奴t臈 (part-time), Dr G. Murauskas, Dr G. Puriu拧kis, Dr V. Skorniakov, Dr R. Vidunas (part-time).
Teaching assistants: Dr D. Celov (part-time), Dr E. Karikovas, Dr A. Kavaliauskas, Dr A. Ra膷ien臈, Dr 艩. Rep拧ys, Dr V. Zemlys-Balevi膷ius (part-time).
Research assistants: K. Bingel臈, A. Buteikis, J. Gudan, R. Juodagalvyt臈, I. Kilien臈, N. Kozulinas, A. Med啪i奴nas, V. 艩umskas.
Lecturer: V. Maniu拧is.
Affiliated professor: Dr V. Skakauskas.
Doctoral students: K. Bartkus, A. Birbilas, A. Buteikis, U. 膶i啪ikovien臈, T. Danielius, J. Gudan, J. Jarutis, S. Jokubaitis, R. Juodagalvyt臈, I. Kilien臈, N. Kozulinas, V. Mie啪ys, G. Liaudanskait臈, V. 艩umskas, L. Vabalas.

DEPARTMENTS OF INSTITUTE OF APPLIED MATHEMATICS

Department of Differential Equations
Department of Statistical Analysis

RESEARCH AREAS

Fundamental mathematics: number theory, probability theory and stochastic analysis, theory of differential equations, functional analysis

Applied mathematics: methods of mathematical statistics, mathematical modelling, econometrics, time series analysis, financial and insurance mathematics, computational geometry

DOCTORAL DISSERTATIONS MAINTAINED IN 2020

A. Buteikis. Multivariate copula-based integer-valued time series models: theory and applications.

MAIN CONFERENCES ORGANIZED IN 2020

R. Leipus: chairman of the programme committee of the 61th Conference of the Lithuanian Mathematical Society, December 4, 2020, 艩iauliai University (remotely).

BEST REPORTS DELIVERED AT CONFERENCES ABROAD

R. Leipus. Invited talk 鈥淓stimating and testing long memory in random coefficient dynamic panel data model鈥�. International Conference 鈥淣ew Results on Time Series and their Statistical Applications鈥� (Luminy, 14-18 September, 2020).

K. Pileckas. Plenary talk 鈥濺ecent years achievements in the theory of stationary Navier-Stokes equations鈥�. International conference "ApplMath20, 10th Conference on Applied Mathematics and Scientific Computing", Brijuni, Croatia, 14-18 September 2020.

R. Levulien臈, V. Bagdonavi膷ius. Modeling and analysis of data with confounding covariates and crossing of the hazard functions. Virtual conference CFE-CMStatistics 2020, December 19-21 (13th International Conference of the ERCIM WG on Computational and Methodological Statistics and 14th International Conference on Computational and Financial Econometrics).

V. Skorniakov, U. 膶i啪ikovien臈, R. Leipus. Estimation of log-odds ratio from group testing data using a Bayesian approach. Virtual conference CFE-CMStatistics 2020, December 19-21 (13th International Conference of the ERCIM WG on Computational and Methodological Statistics and 14th International Conference on Computational and Financial Econometrics).

S. Jokubaitis, D. Celov, R. Leipus. Sparse structures with LASSO through principal components: Forecasting GDP components in the short-run. Virtual conference CFE-CMStatistics 2020, December 19-21 (13th International Conference of the ERCIM WG on Computational and Methodological Statistics and 14th International Conference on Computational and Financial Econometrics).

T. Danielius. p-variation of CUSUM process and testing change in the mean. Virtual conference CFE-CMStatistics 2020, December 19-21 (13th International Conference of the ERCIM WG on Computational and Methodological Statistics and 14th International Conference on Computational and Financial Econometrics).

DEPARTMENT OF DIFFERENTIAL EQUATIONS

Naugarduko 24, LT-03225 Vilnius
Tel. 219 3098
E-mail:
Head - Prof. Dr Habil. Konstantinas Pileckas

STAFF

Professors: Dr A. Ambrazevi膷ius, Dr P. Katauskis, Dr O. 艩tikonien臈, Dr Habil. K. Pileckas (part-time), Dr Habil. G. Panasenko (Distinguished professor, part-time).
Researchwes: Dr Habil. K. Pileckas (part-time), Dr A. 艩tikonas, Dr R. Vidunas (part-time).
Associate professors: Dr K. Kaulakyt臈, Dr A. Kreg啪d臈, Dr G. Puriu拧kis, Dr R. Vidunas (part-time).
Teaching assistants: Dr E. Karikovas, Dr A. Kavaliauskas, Dr G. Pauk拧tait臈, Dr A. Ra膷ien臈, Dr 艩. Rep拧ys.
Research assistants: K. Bingel臈, R. Juodagalvyt臈, N. Kozulinas, V. 艩umskas.
Affiliated professor: Dr. V. Skakauskas.

RESEARCH INTERESTS

Partial differential equations
Mathematical hydrodynamics
Mathematical modelling
Integrodifferential and nonlocal equations
Numerical methods
Computer geometry
Functional analysis

RESEARCH PROJECTS CARRIED OUT IN 2020

Projects Supported by University Budget

Investigation of Solutions to Partial Differential Equations. Prof. Dr Habil K. Pileckas. 2018鈥�2020.

The long-term potentiation was modeled and studied numerically to obtain the bistable behavior of the system. Mathematical model of carbon monoxide and hydrogen reaction proceeding over supported catalysts was proposed and numerically solved.
The Sturm-Liouville problem with one classical and another nonlocal two-point boundary condition was investigated. Zeroes, poles and critical points of the characteristic function and how the properties of this function depend on parameters in nonlocal boundary condition were analysed. Properties of the Spectrum Curves are formulated and illustrated in figures for various values of parameter.
The initial boundary value problem for the non-stationary Navier-Stokes equations was studied in 2D bounded domain with a power cusp singular point O on the boundary. The case of the boundary value with a nonzero flow rate is considered. In this case there is a source/sink in O and the solution necessary has infinite energy integral. The formal asymptotic expansion of the solution near the singular point is constructe and justified.

Main publication:

Bingel臈, K., Bankauskien臈, A., 艩tikonas, A. Investigation of spectrum curves for a Sturm-Liouville problem with two-point nonlocal boundary conditions. Mathematical Modelling and Analysis. 2020, 25: 53鈥�70.

Research Council of Lithuania. Di铿€erential Equations with Non-Classical Boundary Conditions (No S-MIP-17-65). Prof. P. Katauskis. 2017鈭�2020.

The phenomenological model for reduction of nitric oxide by hydrogen over supported catalysts was proposed and studied numerically. The existence and uniqueness of classical solutions to a model of surface reactions between two polyatomic reactants was studied and long-time behavior of the solutions was investigated.

Main publications:

Skakauskas, V., Katauskis, P. Modelling of the 鈥渟urface explosion鈥� of the NO+H2 reaction over supported catalysts. Journal of Mathematical Chemistry. 2020, 58(8): 1531鈥�1547.

Ambrazevi膷ius, A., Skakauskas, V. Solvability theorem for a surface reaction type model. Journal of Mathematical Analysis and Applications. 2020, 486: 123897.

Ambrazevi膷ius, A., Skakauskas, V. Existence and uniqueness of classical solutions to a nonlinear reaction-diffusion model. Acta Applicandae Mathematicae. 2020, 169(1): 559鈥�575.

Research Council of Lithuania. COVID-19 Infection in Lithuania: Modelling and Analysis of Social-Economic Consequences (No S-COV-20-4). Prof. O. 艩tikonien臈. 2020 06 01-2020 12 31.

Models based on data analysis were developed for the spread of the COVID-19 pandemic and its socio-economic impact. The results of this project were used to manage crisis situations caused by COVID pandemic. The models of short-term forecasts and long-term scenarios of the spread of the infection in Lithuania were used. The impact of quarantine measures on the economy and individual sectors of the economy at the macroeconomic level during the first quarantine period has been assessed. Dissemination trends in Lithuania and other countries are compared using functional data analysis techniques. Probabilistic-statistical justification of group testing methods were performed.

Research Council of Lithuania. Navier-Stokes Equations Uunder General Adherence Boundary Condition (No S-MIP-17-68). Prof. K. Pileckas. 2017鈭�2020.

During the period of 2020, the boundary value problem to the stationary Navier-Stokes system was studied in two-dimensional exterior and cusp-type domains.

Main publications:

Pileckas, K., 膶iegis, R. Existence of nonstationary Poiseuille-type solutions under minimal regularity assumptions. Zeitschrift fur Angewandte Mathematik und Physik. 2020, 71: 192.

Korobkov, M., Pileckas, K., Russo, R. On the steady Navier-Stokes equations in 2D exterior domains. Journal of Differential Equations. 2020, 269: 1796鈭�1828.

International Research Projects

European Social Fund. Multiscale Modeling for Viscous Flows in Domains with Complex Geometry (No. 09.3.3-LMT-K-712-01-0012). Prof. K. Pileckas. 2017鈭�2021.

During the period of 2020, the method of asymptotic partial decomposition of a domain is proposed and justified for thin domains (rod structures, tube structures consisting of a set of thin cylinders). This method generates some special interface conditions between the three-dimensional and one-dimensional parts. Tests show good accuracy of the method.

Main publications:

Korobkov, M., Pileckas, K., Russo, R. Solvability in a finite pipe of steady-state Navier-Stokes equations with boundary conditions involving Bernoulli pressure. Calculus of Variations and Partial Differential Equations. 2020, 59: 32.

膶iegis, R., Panasenko, G., Pileckas, K., 艩umskas, V. ADI scheme for partially dimension reduced hear conduction models. Computers & Mathematics with Applications. 2020, 8: 1275鈭�1286.

Panasenko, G., Pileckas, K. Periodic in time flow in thin structure: equation on the graph. Journal of Mathematical Analysis and Applications. 2020, 490(2): 124335.

European Social Fund. Multiscale Mathematical and Computer Modeling for Flows in Networks: Application to Treatment of Cardiovascular Diseases (No 09.3.3-LMT-K-712-17-000). Prof. G. Panasenko. 2020鈭�2023.

In 2020, the existence and regularity of a solution of Navier-Stokes equations with boundary conditions for the Bernoulli pressure in thin tube structure were obtained. Also, the existence, uniqueness and regularity of a solution of the non-Newtonian flow system of equations in thin tube structure were studied. This system of equations with the shear rate dependent viscosity is more adequate for the blood flow modeling than the classical Navier-Stokes equations. The COMSOL compatible geometrical model for the left atrial appendage of the heart based on the computer tomography data is created.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Z眉rich University, Zurich (Switzerland)
University of Saint Etienne, Saint Etienne (France)
Universit`a degli Studi della Campania 鈥淟. Vanvitelli鈥�, Caserta (Italy)
Seconda Universit脿 degli Studi di Napoli, Caserta (Italy)
Ferrara of University, Ferrara (Italy)
University of Kassel, Kassel (Germany)
University of Novosibirsk, Novosibirsk (Russia)
Steklov institute of Mathematics, St. Petersburg (Russia)
Fudan Universit, Shanghai (China)

OTHER RESEARCH ACTIVITIES

Prof. K. Pileckas 鈥�

member of the Lithuanian Academy of Sciences;
鈥� editorial board member of the journal Mathematical Fluid Mechanics,
鈥� editorial board member of the journal Mathematical Modelling and Analysis, ;
鈥� editorial board member of the journal Lithuanian Mathematical Journal,
鈥� editorial board member of the Journal of Elliptic and Parabolic Equations,

Prof. O. 艩tikonien臈 鈥�

managing Editor of the journal Lithuanian Mathematical Journal,
member of the Lithuanian Mathematical Society.

Prof. A. 艩tikonas 鈥�

deputy-editor-in-chief of the journal Nonlinear Analysis: Modelling and Control,
editorial board member of the journal Mathematical Modelling and Analysis;
editorial board member of the journal Lithuanian Mathematical Journal,

DEPARTMENT OF STATISTICAL ANALYSIS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3067
E-mail:
Head 鈥� Prof. Dr Habil. Vydas 膶ekanavi膷ius

STAFF

Professors: Dr Habil. V. Bagdonavi膷ius, Dr Habil. V. 膶ekanavi膷ius, Dr Habil. D. Surgailis (emeritus), Dr V. Kazakevi膷ius, Dr Habil. R. Leipus, Dr Habil. R. Norvai拧a (part-time), Dr Habil. A. Ra膷kauskas (part-time), Dr Habil. M. Radavi膷ius (part-time).
Researchers: Dr R. Norvai拧a (part-time), Dr Habil. A. Ra膷kauskas (part-time).
Associate professors: Dr R. Eidukevi膷ius, Dr R. Levulien臈, T. Mar膷iulaitis (Partnership), Dr J. Markevi膷i奴t臈, Dr G. Murauskas, Dr V. Skorniakov.
Teaching assistants: Dr D. Celov (part-time), Dr V. Zemlys-Balevi膷ius (part-time).
Research assistants: K. Bingel臈, A. Buteikis, J. Gudan, I. Kilien臈.
Lecturer: V. Maniu拧is.

RESEARCH INTERESTS

Time series analysis, financial econometrics
Functional data analysis
Limit theorems in probability and their applications to statistics and econometrics
Bootstrap and other resampling methods in statistics and econometrics
Macroeconometric modelling
High frequency data analysis
Statistical methods in reliability theory and survival analysis and their applications
Asymptotic analysis of distributions of statistics, their approximations and applications
Insurance mathematics

RESEARCH PROJECTS CARRIED OUT IN 2019

Projects Supported by University Budget

Analysis and Applications of Functions and Stochastic Systems. Prof. A. Ra膷kauskas. 2016鈥�2021.

The aims of the project are rough functions analysis; functional data analysis; approximation of stochastic systems; investigation of long memory processes. Local large deviations were investigated for runs statistics approximating Poisson, negative binomial and binomial distributions. Compound Poisson approximation in total variation was obtained for a special Markov three-state model related to actuarial mathematics.
The following integer valued time series models were analyzed: bivariate integer-valued autoregressive process of order 1 with copula-joint innovations was proposed and analyzed; seasonal INAR processes were studied. Some asymptotic results for p-variation of random walk were obtained and applied to a change point problem. New tests for outliers detection were proposed.

Main publications:

Leipus, R., Philippe, A., Pilipauskait臈, V., Surgailis, D. Estimating long memory in panel random coefficient AR(1) data. Journal of Time Series Analysis. 2020. 41: 520鈥�535.

Ra膷kauskas, A., Suquet, Ch. On Bernstein-Kantorovich invariance principle in H枚lder spaces and weighted scan statistics. ESAIM Probab. Stat. 2020, 24: 186鈥�206.

Bagdonavi膷ius, V., Petkevi膷ius, L. A new multiple outliers identification method in linear regression. Metrika. 2020, 83: 275鈥�296.

Liaudanskait臈, G., 膶ekanavi膷ius, V. Approximations for sums of three-valued 1-dependent symmetric random variables. Nonlinear Analysis 鈥� Modelling and Control. 2020, 25: 675鈥�691.

National Research Projects

Research Council of Lithuania. Mathematical Foundations of Data Analysis (No S-MIP-17-76). Prof. A. Ra膷kauskas. 2017鈥�2020.

Weak invariance principle proved in a finite p-variation functions framework for for weighted sums of short-memory linear processes. New test statistics proposed for changed segment in sample problem.

Main publications:

Norvai拧a, R., Ra膷kauskas, A. Uniform asymptotic normality of weighted sums of short memory linear processes. Journal of Applied Probability. 2020, 57: 174鈥�195.

Ra膷kauskas, A., Wendler, M. Convergence of U-processes in H枚lder spaces with application to robust detection of a changed segment. Statistical Papers. 2020, 61: 1409鈥�1435.

Research Council of Lithuania. Closure Properties of Probability Distributions: Theory and Applications (No S-MIP-20-16). Prof. R. Leipus. 2020鈥�2022.

Main publications:

Grigutis, A., 艩iaulys, J. Recurrent sequences play for survival probability of discrete time risk model. Symmetry-Basel. 2020, 12(12): 2111.

Ragulina, O., 艩iaulys, J. Upper bounds and explicit formulas for the ruin probability in the risk model with stochastic premniums and a multi-layer dividend strategy. Mathematics. 2020, 8(11): 1885.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

University of Lille (France)
University of Nantes (France) Queen Mary University of London (U.K.) Hannover University (Germany)
Tilburg University (The Netherlands)
Karol Adamiecki University of Economics in Katowice (Poland)
Padova University (Italy) University of the Aegean (Greece) Nanjing Audit University (China) Soochow University (China) Indian Institute of Technology Bombay (India)

OTHER RESEARCH ACTIVITIES

Prof. V. Bagdonavi膷ius 鈥�

editorial board member of the Lithuanian Mathematical Journal,
member of the Lithuanian Academy of Sciences,
member of the Lithuanian Mathematical Society.

Prof. V. 膶ekanavi膷ius 鈥�

member of the Lithuanian Statistics Society,
editorial board member of Lithuanian Journal of Statistics,

Assoc. Prof. R. Eidukevi膷ius, Prof. V. Kazakevi膷ius, Assoc. Prof. R. Levulien臈, Assoc. Prof. V. Skorniakov 鈥�

members of the Lithuanian Mathematical Society.

Prof. R. Leipus 鈥�

member of the Lithuanian Academy of Sciences,
President of the Lithuanian Mathematical Society,
member of the Lithuanian Statistics Society;
editorial board member of the Lithuanian Mathematical Journal,
editor-in-Chief of Lietuvos matematikos rinkinys.

Prof. R. Norvai拧a 鈥�

editorial board member of the Lithuanian Mathematical Journal, ;
associate editor of the North-Western European Journal of Mathematics;
a representative of Lithuania in International Commision on Mathematical Instruction,
a member of consultation board for Universal Lithuanian Encyclopedia.

Prof. A. Ra膷kauskas 鈥�

member of the Lithuanian Statistics Society, option=com_content&task=view&id=5&Itemid=7;
editorial board member of the Lithuanian Mathematical Journal, ;
editorial board member of the Mathematical Modelling and Analysis,
editorial board member of Lithuanian Journal of Statistics,

Prof. M. Radavi膷ius 鈥�

editorial board member of the Lithuanian Mathematical Journal, ;
editorial board member of the Modern Stochastics: Theory and Applications,
editorial board member of the Lithuanian Journal of Statistics,
member of the International Biometric Society, Nordic-Baltic Region;
member of the Lithuanian Statistics Society,
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member of the Lithuanian Mathematical Society.

MOST IMPORTANT PARTICIPATION CASES OF RESEARCHERS IN WORKING GROUPS OR COMMISSIONS SET UP BY STATE AUTHORITIES, STATE AND MUNICIPAL INSTITUTIONS AND ORGANISATIONS, AND BUSINESS ENTITIES

Prof. R. Leipus 鈥� a member of the European Mathematical Society European Solidarity Committee.
Assoc. Prof. R. Levulien臈鈥� a member of Statistical Council (an advisory body of the Lithuanian Department of Statistics).
Prof. R. Norvai拧a 鈥� a nominated expert of Lithuanian government in Education working group of OECD.
Prof. A. Ra膷kauskas 鈥� an expert of the COVID-19 Health Council of the President of Lithuania.

CONSULTATIONS PROVIDED BY THE UNIT TO THE PUBLIC OR ECONOMIC ENTITIES

Consultations to the Lithuanian Government on the short-term and long-term forecasting of COVID-19 in Lithuania.

MOST IMPORTANT RESULTS OF SCIENCE POPULARISATION ACTIVITIES

Leipus R., Manstavi膷ius E. The Lithuanian Mathematical Society and Mathematical Life in the Country. Newsletter of the European Mathematical Society. 2020, 118: 68鈥�70.
艩tikonien臈 O., Ra膷kauskas A., Leipus R., Markevi膷i奴t臈 J. Interviews on radio, TV and articles in media on the COVID-19 modelling in Lithuania.
Norvai拧a R. Radio shows 鈥淒e拧imt bal懦鈥�: 漠 kuri膮 pus臋 kinta m奴s懦 moksleivi懦 pasiekimai tarptautiniuose tyrimuose? 鈥淯gdymo meistrai鈥� Kod臈l matematika? 鈥淟RT Aktualij懦 studija鈥�: K膮 matematikos brandos egzamino rezultatai rodo apie m奴s懦拧vietimo sistem膮?
Drungilas P., Leipus R., Norvai拧a R. Mokyklin臈 matematika ir brandos egzamino rezultatai: K膮 tur臈tume keisti? 15min, 2020 rugpj奴膷io 16 d.
Murauskait臈 A. Matematikos revoliucija: profesorius paai拧kino, k膮 daryti, kad pager臈t懦 rezultatai, bet paskui teks sunkinti egzamin膮. LRT.LT. 02 September 2020.