Faculty of Mathematics and Informatics

Faculty of Mathematics and Informatics

Sukurta: 28 May 2021

mif24 Naugarduko, LT-03225 Vilnius
47 Didlaukios, LT-08303 Vilnius
4 Akademijos, LT-08412 Vilnius
Tel. 219 3050
http://www.mif.vu.lt
Dean – 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. Vaičiulytė. Study and application of hidden Markov models to online analysis of multivariate sequence data.
R. Kriauzienė. Parallel algorithms for non-classical problems with big computational costs.
A. Buteikis. Multivariate copula-based integer-valued time series models: theory and applications.
L. Petkevičius. Numerical and symbolic modeling of reaction-diffusion processes in bioreactors.
A. V. Misiukas Misiūnas. Investigation of automatic EEG analysis algorithms.

MAIN CONFERENCES ORGANIZED IN 2020

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

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

MAIN SCIENTIFIC ACHIEVEMENTS IN 2020

A methodology, based on finite element modelling and Voronoi tessellation concept, was proposed for identification 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:
http://www.mii.lt
Director – 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 – Dr Remigijus Paulavičius

STAFF

Senior researchers: Dr Remigijus Paulavičius, Dr Ernestas Filatovas, Dr Viktor Medvedev, Dr Algirdas Lančinskas (project implementer, until 31 March 2020).
Lecturer: Dr Aleksandr Igumenov.
Research assistant: Linas Stripinis.
Doctoral students: Vaidas Jusevičius, Andrius Adamonis, Saulius Grigaitis, Jaroslava Arsenjeva, Rytis Bieliauskas, Arnoldas Budžys.

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. Paulavičius. 2017–2020.
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:

Paulavičius, R., Sergeyev, Y. D., Kvasov, D. E., Žilinskas, 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.

Paulavičius, 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., López Redondo, J., José, F. A reference point-based evolutionary algorithm for approximating regions of interest in multiobjective problems. TOP. 2020, 28(2): 402–423. 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 Almería (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. Paulavičius

  • 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), http://www.mathopt.org/;
  • member of Program/Scientific Committee: LOD2020: The Sixth International Conference on Machine Learning, Optimization, and Data Science, Sienna, Italy, 2020.

Dr E. Filatovas

  • 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

  • expert of FP7-ICT Committee (2013);
  • member of Lithuanian Computer Society, http://www.liks.lt/;
  • member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/;
  • member of SERVICE COMPUTATION 2014-2017 Technical Program Committee;
  • member of Program/Scientific Committee: International Workshop on Secure Mobile Cloud Computing (IWoSeMC), http://iwosemc.eu/.

Dr A. Igumenov

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

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

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

 

COGNITIVE COMPUTING GROUP

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

STAFF

Researcher professors: Prof. Dr Habil. Gintautas Dzemyda, Prof. Dr. Olga Kurasova, Prof.
Dr. Kęstutis Dučinskas, Prof. Dr Audronė Jakaitienė, Dr Rita Dukynaitė. Dr Saulė Raižienė,
Dr Prof. Habil. Rimantas Želvys, Prof. Dr Danguolė Melnikienė.
Affiliate researcher: Prof. Dr Habil. Jonas Mockus.
Researcher: Dr Rasa Karbauskaitė.
Research assistants: Dr Martynas Sabaliauskas, Dr Dovilė Stumbrienė, Jogaila Vaitiekaitis,
Dr Igor Katin, Žydrūnas Vaišnoras.
Specialists and engineering staff: Vytautas Tiešis, Dr. Laura Ringienė, Laimutė
Mikalauskienė, Aušra Šubonienė, Jaroslava Arsenjeva.
Postdoctoral researcher: Gerda Ana Melnik-Leroy.
Doctoral students: Viktoras Bulavas, Povilas Gudžius, Rokas Gipiškis, Marta Karaliutė,
Nikolaj Kondrat, Ingrida Pocė, Roma Puronaitė, Ričardas Toliušis, Žydrūnas Vaišnoras,
Ramunė Vaišnorė, Eglė Zikarienė.

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. 2020–2022.

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., López Redondo, J., José, F. A reference point-based evolutionary algorithm for approximating regions of interest in multiobjective problems. TOP. 2020, 28(2): 402–423. 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. https://doi.org/10.1016/j.amc.2020.125561

Stumbrienė, D., Camanho, A. S., Jakaitienė, A. The performance of education systems in the light of Europe 2020 strategy. Annals of Operations Research. 2020, 228(2): 577–609. 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. 2020–2022.

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. https://doi.org/10.1016/j.amc.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: 179–187. https://doi.org/10.1007/978-3-030-53651-0_15.

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. Jakaitienė. 2018–2022.

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’ 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:

Želvys, R., Dukynaitė, R., Vaitekaitis, J., Jakaitienė, A. Transformation educational goals into performance indicators in Lithuanian and international education policy. Acta Paedagogica Vilnensia. 2020, 44: 18–33. DOI: 10.15388/ActPaed.44.2.

Stumbrienė, D., Camanho, A. S., Jakaitienė, A. The performance of education systems in the light of Europe 2020 strategy. Annals of Operations Research. 2020, 228(2): 577–609. 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. Bernatavičienė. 2016–2020, http://www.cost.eu/COST_Actions/ca/CA15120.

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

  • member of Lithuanian Academy of Science, http://lma.lt,
  • 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 „Data Analysis Methods for Software Systems“, Druskininkai, Lithuania, http://www.mii.lt/DatAMSS/;
  • editor-in-Chief of Baltic Journal of Modern Computing http://www.lu.lv/baltic-journal-of-modern-computing/ and the International Journal Informatica (IOSPress/VU), https://www.mii.lt/Informatica/;
  • 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, http://www.ifiptc12.org.uk/ifiptc12/members.php;
  • member of Lithuanian Computer Society, http://www.liks.lt/;
  • member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/;
  • member of Lithuanian Operational Research Society, http://www.mii.lt/LitORS/.

Prof. Dr Habil. J. Mockus

Prof. Dr O. Kurasova

Prof. Dr A. Jakaitienė

Dr R. Karbauskaitė

 

CYBER-SOCIAL SYSTEMS ENGINEERING GROUP

4 Akademijos, LT-08663 Vilnius
Tel. 210 9306
E-mail:
www: https://www.mii.lt/en/structure/scientific-groups/cyber-social-systems-engineering-group
Head – Prof. Dr Saulius Gudas

STAFF

Research professor: Prof. Dr Saulius Gudas.
Senior researcher: Prof. Dr Dalė Dzemydienė.
Researchers: Dr Romas Alonderis, Assoc. Prof. Dr Audronė Lupeikienė, Dr Saulius Maskeliūnas.
Research assistants: Dr Jolanta Miliauskaitė, Arūnas Miliauskas.
Teaching assistant: Dr Asta Slotkeinė.
Assistant researcher: Laima Paliulionienė.
Specialist: Prof. Dr Olegas Vasilecas.
Afilliated professor: Prof. Dr Albertas Čaplinskas.
Affiliated researchers: Prof. Dr Habil. Stasys Jukna, Assoc. Prof. Dr Habil. Regimantas Pliuškevičius, Assoc. Prof. Dr Aida Pliuškevičienė.
Doctoral students: Mindaugas Jusis, Vytautas Radzevičius, Aleksandr Širaliov, 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. Dzemydienė, Assoc. Prof. Dr A. Lupeikienė, Dr S. Maskeliūnas, Dr J. Miliauskaitė, L. Paliulionienė, Prof. Dr O. Vasilecas, Affil. Prof. Dr A. Čaplinskas, Affil. Assoc. Prof. Dr Habil. R. Pliuškevičius, Affil. Assoc. Prof. Dr A. Pliuškevičienė, Affil. Dr Habil. S. Jukna, doctoral students M. Jusis, V. Radzevičius, A. Širaliov, K. Noreika. 2018–2020.

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: “Integration of causal models in application engineering methods and tools” (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., Valatavičius, A. Extending model-driven development process with causal modeling approach. In: Data Science: New Issues, Challenges and Applications, Dzemyda, G., Bernatavičienė, J., Kacprzyk, J. (Eds.). Cham : Springer, 2020, 111–143. (Studies in Computational Intelligence, 869). DOI: 10.1007/978-3-030-39250-5_7.

Szelągowski, M., Lupeikienė, A. Business process management systems: evolution and development trends. Informatica. 2020, 31(3): 579–595. DOI: 10.15388/20-INFOR429.

Miliauskaitė, J., Kalibatienė, D. On general framework of type-1 membership function construction: case study in QoS planning. International Journal of Fuzzy Systems. 2020, 22(2): 504–521. 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

  • 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. Dzemydienė

Assoc. Prof. Dr A. Lupeikienė

  • editorial board member of the Journal of Riga Technical University Applied Computer Systems, https://acs-journals.rtu.lv/;
  • program committee member of the 14th International Baltic Conference on Databases and Information Systems (Baltic DB&IS 2020), https://dbis.ttu.ee/;
  • program committee member of the 13th International Conference on Agents and Artificial Intelligence (ICAART 2021), http://www.icaart.org/.

Dr S. Maskeliūnas

  • program committee member of the 14th International Baltic Conference on Databases and Information Systems (Baltic DB&IS 2020), https://dbis.ttu.ee/;
  • chairman of the Council of the Lithuanian Computer Society, https://www.liks.lt/en/contacts/;
  • member of the Rules of Participation (RoP) working group of the European Open Science Cloud (EOSC), https://www.eoscsecretariat.eu/working-groups/rules-participation-working-group;
  • board member of the Technical Committee LST TK4 “Information technology”;
  • 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. Čaplinskas

Prof. Dr Habil. S. Jukna

Assoc. Prof. Dr Habil. R. Pliuškevičius

 

EDUCATION SYSTEM GROUP

4 Akademijos, LT-08663 Vilnius
Tel. 210 9732
E-mail:
https://www.mii.lt/en/structure/scientific-subdivisions/education-systems-group
Head – Prof. Dr Valentina Dagienė

STAFF

Research professor: Prof. Dr V. Dagienė.
Senior researcher: Dr J. Kurilov.
Researchers: Dr T. Jevsikova, Dr A. Juškevičienė, Dr V. Dolgopolovas.
Research assistant: Dr G. Stupurienė.
Doctoral students: V. Dvareckienė, I. Krikun, T. Šiaulys, L. Vinikienė.
Affiliate researchers: Assoc. Prof. Dr G. Grigas, Dr L. Markauskaitė.

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. Dagienė (leader). 2019–2020.

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

Juškevičienė, A. Developing algorithmic thinking through computational making. In: Data Science: New Issues, Challenges and Applications. Dzemyda, G., Bernatavičienė, J., Kacprzyk, J. (Eds.). 2020, 183–197. (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: 1–9. DOI: 10.1016/j.chb.2018.11.003.

Kurilov, J., Kubilinskienė, S. Lithuanian case study on evaluating suitability, acceptance and use of IT tools by students – an example of applying technology enhanced learning research methods in higher education. Computers in Human Behavior. 2020, 107, 106274: 1–11. 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. Juškevičienė, 2020–2021.

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:

Juškevičienė, A. Developing algorithmic thinking through computational making. In Data Science: New Issues, Challenges and Applications. 2020, 183–197.

Juškevičienė, A. STEAM teacher for a day: a case study of teachers’ perspectives on computational thinking. Informatics in Education. 2020, 19(1): 33–50.

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

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, Vilnius University 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. 2020–2024. 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’s Regions (DocHub) (574064-EPP- 1-2016- 1- LT-EPPKA2- CBHE-SP). 2016–2020. Head: Prof. Dr V. Dagienė.

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 Vilnius University. 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. Dagienė

Assoc. Prof. Dr J. Kurilov

Dr V. Dolgopolovas

Dr T. Jevsikova

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

Dr G. Stupurienė

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES

  • Annual event – International Challenge on Informatics and Computational Thinking “Bebras”, organized by Valentina Dagienė, Tatjana Jevsikova, Vaidotas Kinčius, Gabrielė Stupurienė.
  • Book: V. Dagienė, N. Bankauskaitė, S. Bružienė. Informatikos užduotys. 3-4 klasei [Informatics tasks, 3-4 grades; in Lithuanian]. Šviesa. 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 – Prof. Dr Julius Žilinskas

STAFF

Research professors: Prof. Dr Julius Žilinskas, Prof. Dr Habil. Antanas Žilinskas.
Senior researcher: Assoc. Prof. Dr Algirdas Lančinskas.
Affiliated researcher: Assoc. Prof. Dr Rimantas Pupeikis.
Doctoral students: Rima Kriauzienė, Eglė Zikarienė, Saulius Tautvaišas, 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. Žilinskas.

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:

Lančinskas, A., Žilinskas, J., Fernandez, P., Pelegrin, B. Solution of asymmetric discrete competitive facility location problems using ranking of candidate locations. Soft Computing. 2020, 24(23): 17705–17713. DOI: 10.1007/s00500-020-05106-0.

Calvin, J., Žilinskas, A. On efficiency of a single variable bi-objective optimization algorithm. Optimization Letters. 2020, 14(1) 259–267. 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. Lančinskas. 2017–2020.

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 Vilnius University. 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. Lančinskas. 2016–2020.

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 Almería (Spain)
Universidad de Murcia (Spain)
Universidad de La Laguna (Spain)
University of Edinburgh (United Kingdom)
Università della Calabria (Italy)
Cardiff University (UK)
New Jersey Institute of Technology (USA)

OTHER RESEARCH ACTIVITIES

Prof. Dr. J. Žilinskas

Prof. Dr. Habil. A. Žilinskas

Dr A. Lančinskas

  • affiliate member of European Network of Excellence on High Performance and Embedded Architecture and Compilation (HiPEAC), http://www.hipeac.net;
  • 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 – Assoc. Prof. Dr Povilas Treigys

STAFF

Senior researchers: Assoc. Prof. Dr Povilas Treigys, Dr G. Korvel, Assoc. Prof. Dr G. Tamulevičius, Dr Jolita Bernatavičienė.
Affiliate researchers: Prof. Dr Habil. K. Kazlauskas, Prof. Dr Habil. Adolfas Laimutis Telksnys.
Senior specialist: G. Navickas.
Doctoral students: B. Čiapas, M. Morkūnas, J. Venskus, J. Jucevičius, S. Virbukaitė, M. Danilovaitė, 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. 2018–2020.

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:

Tamulevičius, G., Korvel, G., Yayak, A. B., Treigys, P., Bernatavičienė, J., Kostek, B. A study of cross-linguistic speech emotion recognition based on 2D feature spaces. Electronics. 2020, 9(10), 1725: 1–13. DOI: 10.3390/electronics9101725.

Korvel, G., Kąkol, K., Kurasova, O., Kostek, B. Evaluation of Lombard speech models in the context of speech in noise enhancement. IEEE Access. 2020, 8: 155156–155170. 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 – 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 – 12-2020). Project head: Dr O.

Štikonienė.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 http://www.covid19.projektas.vu.lt/.

International Research Projects

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

Within the EuroCC project under the European Union’s 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—with 33 member and associated countries on board—is 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. 2016–2020.
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. Bernatavičienė. 2016–2020.

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’s 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. 2019–2023.

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. Tamulevičius. 2016–2020.

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)
Vilnius University 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

Prof. Dr Habil. K. Kazlauskas

Assoc. Prof. Dr G. Tamulevičius

  • member of IEEE Computer society and Signal processing society sections.

Dr G. Korvel

Dr J. Bernatavičienė

G. Navickas

 

INTELLIGENT TECHNOLOGIES RESEARCH GROUP

4 Akademijos, LT-08663 Vilnius.
Tel. 210 9311
E-mail:
Head – Dr Virginijus Marcinkevičius

STAFF

Senior researchers: Dr Virginijus Marcinkevičius, Prof. Dr Saulius Minkevičius, Prof. Dr Darius Plikynas, Assoc. Prof. Dr Igoris Belovas.
Affiliated researchers: Prof. Dr Habil. Leonidas Sakalauskas, Dr Stasys Steišūnas.
Research assistant: Neringa Urbonaitė.
Specialists and engineering staff: Dr Gintautas Jakimauskas, Dr Martynas Sabaliauskas,
Dr Vilma Zubaitienė, Snieguolė Meškauskienė, Laimutė Mikalauskienė, Raimundas Savukynas, Žygimantas Sideravičius.
Doctoral students: Liudas Ališauskas, Andrius Chaževskas, Vytautas Dulskis, Shubham
Juneja, Vytautas Paura, Mantas Stankevičius, Neringa Urbonaitė, Paulius Vaitkevičius.

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. Marcinkevičius. 2019–2021.

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 “Development of metrics, conceptual and simulation models of the social impact of cultural processes” 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): 1–22. DOI: 10.15388/20-INFOR434.

Vaitkevičius, P., Marcinkevičius, V. Comparison of classification algorithms for detection of phishing websites. Informatica. 2020, 31(1): 143–160. 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, 1–14. DOI: 10.1080/0022250X.2020.1725002.

National Project

Development of Internet Portal of Integrated Lithuanian Language and Writing Resources, Products and Services – Raštija 2. http://www.raštija.lt/  Dr V. Marcinkevičius. 2018–2021.

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

Prof. D. Plikynas

  • 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

Prof. Dr S. Minkevičius

Dr V. Marcinkevičius

  • member of Lithuanian Computer Society, http://www.liks.lt/en;/;
  • member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/;
  • member of Lithuanian Operational Research Society, http://www.mii.lt/LitORS/;
  • member of European Working Group on Stochastic Optimisation, http://www.mii.lt/EWGSO;
  • 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 – Prof. Dr Habil. Kęstutis 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. Radavičius, Prof. Dr Habil. M. Vaičiulis.
Researchers: Dr A. Astrauskas Dr A. Bakšaev Dr A. Čiginas, Dr D. Dzindzalieta, Dr V. Kurauskas. Dr T. Juškevičius.
Research assistant: Dr J. Novickij.
Affiliatedresearchers: Dr J. J. Mačys, Prof. Dr R. Mikulevičius, Dr R. Rudzkis, Prof. Dr Habil. J. K. Sunklodas.
Doctoral students: A. Medžiūnas, R. Užupytė.

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). 2020–2021.

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): 1059–1078.

OTHER RESEARCH ACTIVITIES

Prof. K. Kubilius

Assoc. Prof. S. Norvidas

Prof. M. Radavičius

Prof. R. Rudzkis

Prof. Emeritus M. Sapagovas

 

ARTIFICIAL INTELLIGENCE LABORATORY

4 Akademijos, LT-08663 Vilnius.
Tel. 210 9311
E-mail:
Head – Dr Virginijus Marcinkevičius

STAFF

Senior researcher: Dr Virginijus Marcinkevičius.
Researcher: Dr Jūratė Vaičiulytė.
Research assistant: Neringa Urbonaitė.
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. Marcinkevičius

  • member of Lithuanian Computer Society, http://www.liks.lt/en/;
  • member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/;
  • member of Lithuanian Operational Research Society, http://www.mii.lt/LitORS/;
  • member of European Working Group on Stochastic Optimisation, http://www.mii.lt/EWGSO;
  • 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: https://mif.vu.lt/lt3/en/about/structure/institute-of-computer-science
Director – 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., Meškauskas T., Valinčius 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, 496–504.

Raudys, A., Šubonienė, 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 21–22, 2020: proceedings. Cham: Springer, 2020. p. 82-95.

Gasparaitė, Monika; Naudžiūnaitė, Kristina; Ragaišis, 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 9–11, 2020.

A. Brilingaitė, L. Bukauskas, A. Juozapavičius, 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 identification 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 – Prof. Dr Tadas Meškauskas

STAFF

Professors: Dr Habil. Emeritus F. Ivanauskas, Dr A. Juozapavičius (part-time), Dr T. Meškauskas.
Associate professors: Dr A. Brilingaitė, Dr L. Bukauskas (part-time), Dr P. Kasparaitis, Dr R. Krasauskas, Dr V. Rapševičius (part-time), Dr S. Zubė.
Assistant professors: Dr M. Beniušė, Dr A. Čivilis (part-time), Dr J. Katina, Dr A. V. Misiukas Misiūnas (part-time).
Teaching assistants: R. Astrauskas, T. Raila (part-time).
Lecturers: Dr J. Ignatavičiūtė, L. Būtėnas (part-time), V. Krinickij, E. Kutka (part-time), V. Masiulionytė-Dagienė (part-time), G. Šamrickis (part-time), B. Šulmanas (part-time).
Associate professors of practice: T. G. Lipnevičius (part-time), R. Markauskas (part-time).
Doctoral students: S. Bucka, A. Nečiporenko, 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. Meškauskas. 2019–2023.

A methodology, based on finite element modelling and Voronoi tessellation concept, was proposed for identification 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., Ambrulevičius, F., Penkauskas, T., Jankunec, M., Meškauskas, T., Vanderah, D. J, Valinčius, 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 Misiūnas, A. V., Rapševičius, V., Samaitienė, R., Meškauskas, T. Electroencephalogram spike detection and classification by diagnosis with convolutional neural network. Nonlinear Analysis: Modelling and Control. 2020. 25(4): 692–704, doi: 10.15388/namc.2020.25.18016.

Raila, T., Jankunec, M., Meškauskas, T., Valinčius, 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, 496–504. 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. Valinčius, Life Sciences Center, Vilnius University, Dr T. Meškauskas and T. Raila. 2019–2022.

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., Ambrulevičius, F., Penkauskas, T., Jankunec, M., Meškauskas, T., Vanderah, D. J, Valinčius, 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.

Raila, T., Jankunec, M., Meškauskas, T., Valinčius, G. Computational models of defect clustering
for tethered bilayer membranes. Proceedings of 20th International Conference ICCSA 2020. Springer, Lecture Notes in Computer Science2020, 12253, 496–504. doi: 10.1007/978-3-030-58814-4_35.

Raila, T., Meškauskas, T., Valinčius, 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, 462–469. 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, Vilnius University, Dr P. Kasparaitis and Dr M. Beniušė. 2017–2020.

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. Šaltenis, Dr A. Brilingaitė, Dr L. Bukauskas, Dr A. Čivilis, E. Kutka, V. Krinickij. 2019–2023.

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. Brilingaitė, Dr L. Bukauskas and E. Kutka. 2019–2022.

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 Skłodowska-Curie Actions – Innovative Training Networks (ITN) funding scheme (H2020-MSCA-ITN-2019), GRAPES – Learning, Processing and Optimising Shapes (No. 860843). Project coordinator: Prof. I. Emiris, ATHENA RIC, Greece, Dr R. Krasauskas and Dr S. Zubė. 2019–2023.

The list of participating organizations involves 11 academic members and 6 industrial partners across Europe. Project coordinator: Prof. I. Emiris, ATHENA RIC, Greece. Vilnius University 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. https://doi.org/10.1016/j.cagd.2020.101945

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

Prof. A. Juozapavičius

Assoc. Prof. A. Brilingaitė

member of Association for Computing Machinery (ACM), https://services.acm.org/public/vcard/vcard.cfm?handle=abrilingaite.

Assoc. Prof. L. Bukauskas

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

Prof. R. Krasauskas

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 – 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. Rapševičius – member of the Open Data Board under Ministry of Economy of the Republic of Lithuania.

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES

 

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. Š. Raudys.
Teaching assistants: Dr J. Andrikonis, Dr A. Birštunas, Dr V. Dičiūnas, 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. Janeliūnas (part-time), R. Masiulis (part-time), L. Ričkus (part-time).
Lecturers: S. Blažiūnas (part-time), Dr R. Dzindzalieta (part-time), M. Grubliauskis (part- time), K. Mizara (part-time), M. Plukas (part-time), I. Radavičius.

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. 2017–2020.

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 “next” and “until” 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): 29–42.

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

Žilinskas, A., Litvinas, L. A hybrid of the simplicial partition-based Bayesian global search with the local descent. Soft Comput. 2020, 24: 17601–17608. https://doi.org/10.1007/s00500-020-05095-0.

National Research Projects

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

Contractual Research

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

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. Š. Raudys

editorial board member of the journal Informatica, http://www.mii.lt/informatica/editors.htm.

Prof. L. Laibinis

  • 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 – 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 – 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 – Assoc. Prof. Dr Vilius Stakėnas

STAFF

Professors: Dr Habil. M. Bloznelis, Dr S. Gražulis (part-time), Dr Habil. Ž. Lukšienė (part-time),
Associate professors: Dr G. Bareikis, Dr A. Mačiulis, Dr V. Stakėnas, 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. Mačiulis. 2017–2022.

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): 1–14.

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

Bareikis, G., Mačiulis, A. Modelling the Dirichlet distribution using multiplicative functions. Nonlinear Analysis. 2020, 25(2): 282–300.

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 21–22, 2020: proceedings. Cham: Springer, 2020. p. 124-134.

Bloznelis, M., Karjalainen, J., Leskelä, 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 21–22, 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

Assoc. Prof. G. Bareikis

Prof. M. Bloznelis

Assoc. Prof. A. Mačiulis

Assoc. Prof. V. Stakėnas

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES

  • Dr. G. Alkauskas – 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 – Dr Karolis Petrauskas

STAFF

Professor: Dr R. Baronas.
Professors of practice: Dr V. Ašeris (part-time), Dr D. Sauliūnas (part-time), Dr G. Slivinskas (part-time).
Associate professors: Dr V. Čyras, Dr S. Dapkūnas, Dr K. Lapin, Dr K. Petrauskas, Dr S. Ragaišis.
Associate professors of practice: Dr G. Alzbutas (part-time), V. Jusevičius (part-time), V. Pozdniakov (part-time).
Teaching assistants: Dr Ž. Ledas (part-time), Dr S. Peldžius (part-time), Dr L. Petkevičius, Dr T. Plankis, Dr V. Valaitis.
Research assistants: B. Dapkūnas (part-time), Dr R. Savukynas (part-time).
Lecturers: A. Gimbutas (part-time), S. Girdzijauskaite (part-time), D. Kimutis (part-time), Dr E. Pakalnickienė (part-time), L. Povilavičiūtė (part-time), J. Ragaišis (part-time), G. Rimša (part-time), V. Savin (part-time), T. Smagurauskas (part-time), A. Šimkus (part-time), T. Tumasonis (part-time), K. Uosis (part-time), Dr A. Vaitkevičienė (part-time), R. Žagūnienė (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. 2019–2022.

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:

Bagdonavičius, V., Petkevičius, L. A new multiple outliers identification method in linear regression. Metrika. 2020, 83: 275–296. doi: 10.1007/s00184-019-00731-8.

Bagdonavičius, V., Petkevičius, L. Multiple outlier detection tests for parametric models. Mathematics. 2020, 8: 2156. doi:10.3390/math8122156.

Čyras, V., Lachmayer, F. Legal visualisation in the digital age: From textual law towards human digitalities. In: W. Hötzendorfer et al. (eds.) International Trends in Legal Informatics, pp. 61–76. Editions Weblaw, Bern. http://d-nb.info/121029690X.

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.

Čyras, 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. 397–404. 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. 2017–2020.

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. & Petkevičius, L. Modelling carbohydrates oxidation by oxygen catalysed by bienzyme glucose dehydrogenase/laccase system immobilized into microreactor with carbon nanotubes. J Math Chem. 2020. https://doi.org/10.1007/s10910-020-01187-2.

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 – Assoc. Prof. Dr S. Ragaišis. 2018–2020.

Software prototype for creation of e-document’s 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

Assoc. Prof. V. Čyras

Assoc. Prof. K. Lapin

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

Assoc. Prof. S. Ragaišis

Dr Linas Petkevičius

  • editorial board member of the Nonlinear Analysis: Modelling and Control Journal, http://www.mii.lt/NA;
  • 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 Petkevičius – 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

 

CYBERSECURITY LABORATORY

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

STAFF

Associate professors: Dr A. Brilingaitė, 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. 2019–2023.

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:

Brilingaitė, A., Bukauskas, L. and Juozapavičius, 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. Gražulis, L. Bukauskas.

Collaborative event Amber Mist 2020. Project leader Dr Linas Bukauskas, Dr A. Brilingaitė, 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. Brilingaitė, L. Bukauskas. 2021–2023.

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 Žemaitis Military Academy of Lithuania (Lithuania)
Norwegian University of Technical and Natural Sciences – NTNU (Norway)
Liechtenstein University (Liechtenstein)
Østfold 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. Brilingaitė

Assoc. Prof. L. Bukauskas

  • 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 – 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

 

INSTITUTE OF MATHEMATICS

24 Naugarduko, LT–03225 Vilnius
Tel.: 219 3085
E-mail
Director – Prof. Dr Jonas Šiaulys
http://mif.vu.lt/lt3/en/about/structure/institute-of-mathematics

STAFF

Professors: Dr G. Bakštys (Pofessor f practice), Dr P. Drungilas, Dr R. Garunkštis (part-time), Dr A. Linartas (Professor of practice), Dr Habil. V. Mackevičius, Dr Habil. E. Manstavičius (emeritus), Dr Habil. V. Paulauskas (emeritus), Dr G. Stepanauskas, Dr J. Šiaulys.
Associate professors: Dr A. Balčiūnas, Dr A. Elijio, Dr E. Gaigalas, Dr A. Grigutis, Dr R. Kašuba, Dr M. Manstavičius, Dr E. Mazėtis.
Research professors: Dr R. Garunkštis (part-time), Dr Habil. A. Dubickas, Dr Habil. A. Laurinčikas.
Senior researcher: Dr J. Jankauskas (part-time).
Teaching assistants: Dr J. Damarackas, Dr D. Dzindzalieta, Dr E. Globienė, Dr E. Jaunė, Dr E. Karikovas, Dr A. Lenkšas, Dr A. Novikas, Dr A. Skučaitė, Dr V. Stepas, Dr R. Šimėnas, Dr R. Tamošiūnas (part-time), Dr A. Zinevičius.
Research assistants: G. Bagdonas, E. Gutauskaitė, V. Jurgelevičius, G. Liaudanskaitė, L. Maciulevičius.
Lecturers: Š. Dirmeikis, Dr. A. Kačėnas (part-time), I. Mikulėnas (part-time).
Affiliated associate professors: Dr R. Kudžma, Dr G. Misevičius.
Doctoral students: G. Bagdonas, M. Burbulevičius, N. Denisenko, G. Gangopadhyay, E. Gutauskaitė, R. Gylys, M. Jasas, G. Junevičius, V. Jurgelevičius, J. Karasevičienė, L. Klebonas, G. Lileika, V. Lukšienė, L. Kaziulytė, T. Kuras, M. Montessinos, L. Maciulevičius, G. Mongirdaitė, S. Paukštys, R. Puišys, J. Sprindys, A. Šmergelytė, P. Tarasov, M. Tekorė, G. Vadeikis, A. Vaiginytė, G. Ziezys, B. Žemaitienė.

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. Manstavičius, G. Bagdonas, E. Gutauskaitė. Certain copula transformations: From 2D to 3D. 13th International Conference of the ERCIM WG on Computational and Methodological Statistics, Virtual conference, 19–21 December 2020.

R.Gylys. Modelling uncertainty in human mortality projections using state-space Lee-Carter. StatMod2020: Statistical Modeling with Applications. Virtual conference. 6–7 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 – Prof. Dr Jonas Šiaulys

STAFF

Professors: Dr G. Bakštys (Professor of practice), Dr A. Linartas (Professor of practice), Dr Habil. V. Mackevičius, Dr Habil. V. Paulauskas (Emeritus), Dr G. Stepanauskas, Dr J. Šiaulys.
Associate professor: Dr M. Manstavičius.
Teaching assistants: Dr J. Damarackas, Dr E. Globienė, Dr E. Jaunė, Dr A. Lenkšas, Dr A. Skučaitė.
Research assistants: G. Bagdonas, E. Gutauskaitė, V. Jurgelevičius.
Lecturers: Š. Dirmeikis, I. Mikulėnas (part-time).
Affiliated associate professor: Dr R. Kudžma.

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. Šiaulys. 2016–2021.

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., Šiaulys, J. Martingale approach to derive Lundberg-type inequalities. Mathematics. 2020, 8(10): 1742.

Lileika, G., Mackevičius, V. Weak approximation of CKLS and CEV processes by discrete random variables. Lithuanian Mathematical Journal. 2020, 60(2): 208–224.

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

Ragulina, O., Šiaulys, 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. Šiaulys. 2017–2020.

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

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

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

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

Taras Shevchenko National University of Kyiv (Ukraine)
Mälardalen 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. Mackevičius

Prof. V. Paulauskas (emeritus)

Prof. J. Šiaulys

  • 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, http://www.mif.vu.lt/lmd/index_en.html .

Prof. G. Stepanauskas

Prof. G. Bakštys

Assoc. Prof. M. Manstavičius

Dr. A. Skučaitė

R. Gylys


DEPARTMENT OF PROBABILITY THEORY AND NUMBER THEORY

24 Naugarduko, LT–03225 Vilnius
Tel.: 219 3059
E-mail:
Head – Prof. Dr Habil. Artūras Dubickas

STAFF

Professors: Dr P. Drungilas, Dr Habil. E. Manstavičius (emeritus).
Associate professors: Dr A.Balčiūnas, Dr R. Kašuba, Dr E. Mazėtis.
Research professors: Dr Habil. A. Dubickas, Dr Habil. A. Laurinčikas.
Senior researcher: Dr J. Jankauskas (part-time).
Teaching assistants: Dr A. Novikas, Dr V. Stepas, Dr A. Zinevičius.
Lecturer: Dr A. Kačėnas (part-time).
Affiliated associate professor: Dr G. Misevičius.
Research assistant: L. Maciulevičius.

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. Garunkštis, Prof. A. Dubickas, Prof. A. Laurinčikas, Prof. E. Manstavičius. 2019–2023.

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): 329–339.

Korolev, M., Laurinčikas, A. A new application of the Gram points. II. Aequationes Mathematicae. 2020, 94(6): 1171–1187.

Manstavičius, E. Sharp bounds for the variance of linear statistics on random permutations. Random Structures & Algorithms. 2020, 57(4): 1303–1313.

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. 2017–2020.

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(1–2): 185–194.

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. Laurinčikas. 2017–2021.

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 ξ 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 ξ 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): 601–606.

Dubickas, A., Garunkštis, R., Laurinčikas, A. Approximation by shifts of compositions of Dirichlet L-functions with the Gram function. Mathematics. 2020, 8(5): 751.

Laurinčikas, A. On a generalization of Voronin’s theorem. Mathematical Notes. 2020, 107(3): 442–451.

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. Šimėnas (postdoctoral student). 2020–2022.

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)
Würzburg University (Germany)
Oklahoma State university (USA)
Montanuniversität Leoben (Austria)

OTHER RESEARCH ACTIVITIES

Prof. A. Dubickas

Prof. P. Drungilas

Prof. A. Laurinčikas

Prof. E. Manstavičius (emeritus) –


ANALYTIC NUMBER THEORY GROUP

24 Naugarduko, LT–03225 Vilnius
Tel.: 219 3081
E-mail:
Head – Prof. Dr Ramūnas Garunkštis

STAFF

Professor: Dr R. Garunkštis (part-time).
Associate professor: Dr A. Grigutis.
Research professor: Dr R. Garunkštis (part-time).
Teaching assistants: Dr E. Karikovas. Dr R. Šimėnas, Dr R. Tamošiūnas (part-time).
Research assistant: L. Kaziulytė.

RESEARCH INTERESTS

Zeta functions
Multiplicative structures
Diophantine approximations
Risk models

OTHER RESEARCH ACTIVITIES

Prof. R. Garunkštis

  • 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 – Prof. Dr Habil. Rimas Norvaiša

STAFF

Professors: Dr Habil. A Dubickas, Dr P. Drungilas, Dr Habil. R. Norvaiša.
Associate professors: Dr A. Elijio, Dr R. Kašuba, Dr E. Mazėtis.
Teaching assistant: Dr A. Novikas.
Affiliated associate professor: Dr R. Kudžma.
Doctoral students: V. Miežys, I. Kilienė

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. Norvaiša. 2020–2024.

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:

Kašuba, R., Mazėtis, 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: 87–107.

Projects supported by the National Agency for Education

Development of the System to Supervise Students’ Achievements and Creation of Instruments to Establish Accumulative Assessments (No. 09.2.1-ESFA-V-706-02-0001). Participants V. Miežys, R. Norvaiša.

Creation and Implementation of Digital Educational Content (No. 09.2.1-ESFA-V-726-03-0001). Participants E. Mazėtis, R. Norvaiša.

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

Tartu University (Estonia)

OTHER RESEARCH ACTIVITIES

Prof. Dr A. Dubickas

Assoc. Prof. R. Kašuba

Affiliated Assoc. Prof. R. Kudžma

  • editorial committee member of the journal Nordisk Matematikk Didaktikk, Nordic Studies in Mathematics Education;
  • board member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/.

Assoc. Prof. E. Mazėtis

Prof. R. Norvaiša

Dr A. Novikas

Assoc. Prof. A. Elijio

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

• Kęstutis Kubilius and Jonas Šiaulys. Lithuanian Science Prize in the field of physical sciences for the work cycle "Analysis of Stochastic Differential Equations and Insurance Models"
• Antanas Laurinčikas. 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, http://www.aktuaries.org/: Dr A. Skučaitė 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, https://www.actuaries.org.uk: doctoral student R. Gylys is a member of the Institute.
    • Lithuanian Actuarial Society, http://www.aktuarai.lt: Prof. G. Bakštys, Dr. A. Skučaitė and doctoral student R. Gylys are members of the Society.
  • Lithuanian Statistical Society, http://www.statistikusajunga.lt: Dr M. Manstavičius is president of the Society; Prof. V. Paulauskas is a member of the Society.

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES

  • Radio show,”Dešimt balų: Į kurią pusę kinta mūsų moksleivių pasiekimai tarptautiniuose tyrimuose?” 10 December 2020. Prof. R. Norvaiša
  • Radio show,”Ugdymo meistrai. Pokalbis: Kodėl matematika?” 22 August 2020. Prof. R. Norvaiša.
  • Radio show, ”LRT Aktualijų studija: Ką matematikos brandos egzamino rezultatai rodo apie mūsų švietimo sistemą?” 06 August 2020. Prof. R. Norvaiša.
  • 9th Meeting of Lithuanian Young Mathematicians, http://lmd.mif.vu.lt: Prof. P. Drungilas, Prof. J Šiaulys, Dr M. Manstavičius, Dr A. Grigutis, doctoral students J. Sprindys, G. Bagdonas.

 

INSTITUTE OF APPLIED MATHEMATICS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3050
E-mail: ,
www http://www.mif.vu.lt
Director – Prof. Dr Habil. Remigijus Leipus
https://mif.vu.lt/lt3/en/about/structure/institute-of-applied-mathematics

STAFF

Professors: Dr A. Ambrazevičius, Dr Habil. V. Bagdonavičius, Dr Habil. V. Čekanavičius, Dr P. Katauskis, Dr Habil. G. Panasenko (Distinguished Professor), Dr Habil. D. Surgailis (emeritus), Dr O. Štikonienė, Dr V. Kazakevičius, Dr Habil. R. Leipus, Dr Habil. R. Norvaiša (part-time), Dr Habil. K. Pileckas (part-time), Dr Habil. A. Račkauskas (part-time), Dr Habil. M. Radavičius (part-time).
Researchers: Dr K. Karčiauskas, Dr R. Norvaiša (part-time), Dr Habil. K. Pileckas (part-time), Dr Habil. A. Račkauskas (part-time), Dr A. Štikonas, Dr R. Vidunas (part-time).
Associate professors: Dr R. Eidukevičius, Dr K. Kaulakytė (part-time), Dr A. Kregždė, Dr R. Levulienė, T. Marčiulaitis (Partnership), Dr J. Markevičiūtė (part-time), Dr G. Murauskas, Dr G. Puriuškis, Dr V. Skorniakov, Dr R. Vidunas (part-time).
Teaching assistants: Dr D. Celov (part-time), Dr E. Karikovas, Dr A. Kavaliauskas, Dr A. Račienė, Dr Š. Repšys, Dr V. Zemlys-Balevičius (part-time).
Research assistants: K. Bingelė, A. Buteikis, J. Gudan, R. Juodagalvytė, I. Kilienė, N. Kozulinas, A. Medžiūnas, V. Šumskas.
Lecturer: V. Maniušis.
Affiliated professor: Dr V. Skakauskas.
Doctoral students: K. Bartkus, A. Birbilas, A. Buteikis, U. Čižikovienė, T. Danielius, J. Gudan, J. Jarutis, S. Jokubaitis, R. Juodagalvytė, I. Kilienė, N. Kozulinas, V. Miežys, G. Liaudanskaitė, V. Šumskas, 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, Šiauliai University (remotely).

BEST REPORTS DELIVERED AT CONFERENCES ABROAD

R. Leipus. Invited talk “Estimating and testing long memory in random coefficient dynamic panel data model”. International Conference “New Results on Time Series and their Statistical Applications” (Luminy, 14-18 September, 2020).

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

R. Levulienė, V. Bagdonavičius. 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. Čižikovienė, 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. Ambrazevičius, Dr P. Katauskis, Dr O. Štikonienė, Dr Habil. K. Pileckas (part-time), Dr Habil. G. Panasenko (Distinguished professor, part-time).
Researchwes: Dr Habil. K. Pileckas (part-time), Dr A. Štikonas, Dr R. Vidunas (part-time).
Associate professors: Dr K. Kaulakytė, Dr A. Kregždė, Dr G. Puriuškis, Dr R. Vidunas (part-time).
Teaching assistants: Dr E. Karikovas, Dr A. Kavaliauskas, Dr G. Paukštaitė, Dr A. Račienė, Dr Š. Repšys.
Research assistants: K. Bingelė, R. Juodagalvytė, N. Kozulinas, V. Šumskas.
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. 2018–2020.

  • 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:

Bingelė, K., Bankauskienė, A., Štikonas, A. Investigation of spectrum curves for a Sturm-Liouville problem with two-point nonlocal boundary conditions. Mathematical Modelling and Analysis. 2020, 25: 53–70.

Research Council of Lithuania. Differential Equations with Non-Classical Boundary Conditions (No S-MIP-17-65). Prof. P. Katauskis. 2017−2020.

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 “surface explosion” of the NO+H2 reaction over supported catalysts. Journal of Mathematical Chemistry. 2020, 58(8): 1531–1547.

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

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

Research Council of Lithuania. COVID-19 Infection in Lithuania: Modelling and Analysis of Social-Economic Consequences (No S-COV-20-4). Prof. O. Štikonienė. 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. 2017−2020.

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., Čiegis, 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: 1796−1828.

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. 2017−2021.

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.

Čiegis, R., Panasenko, G., Pileckas, K., Šumskas, V. ADI scheme for partially dimension reduced hear conduction models. Computers & Mathematics with Applications. 2020, 8: 1275−1286.

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. 2020−2023.

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

Zürich University, Zurich (Switzerland)
University of Saint Etienne, Saint Etienne (France)
Universit`a degli Studi della Campania “L. Vanvitelli”, Caserta (Italy)
Seconda Università 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

Prof. O. Štikonienė

Prof. A. Štikonas


DEPARTMENT OF STATISTICAL ANALYSIS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3067
E-mail:
Head – Prof. Dr Habil. Vydas Čekanavičius

STAFF

Professors: Dr Habil. V. Bagdonavičius, Dr Habil. V. Čekanavičius, Dr Habil. D. Surgailis (emeritus), Dr V. Kazakevičius, Dr Habil. R. Leipus, Dr Habil. R. Norvaiša (part-time), Dr Habil. A. Račkauskas (part-time), Dr Habil. M. Radavičius (part-time).
Researchers: Dr R. Norvaiša (part-time), Dr Habil. A. Račkauskas (part-time).
Associate professors: Dr R. Eidukevičius, Dr R. Levulienė, T. Marčiulaitis (Partnership), Dr J. Markevičiūtė, Dr G. Murauskas, Dr V. Skorniakov.
Teaching assistants: Dr D. Celov (part-time), Dr V. Zemlys-Balevičius (part-time).
Research assistants: K. Bingelė, A. Buteikis, J. Gudan, I. Kilienė.
Lecturer: V. Maniušis.

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. Račkauskas. 2016–2021.

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., Pilipauskaitė, V., Surgailis, D. Estimating long memory in panel random coefficient AR(1) data. Journal of Time Series Analysis. 2020. 41: 520–535.

Račkauskas, A., Suquet, Ch. On Bernstein-Kantorovich invariance principle in Hölder spaces and weighted scan statistics. ESAIM Probab. Stat. 2020, 24: 186–206.

Bagdonavičius, V., Petkevičius, L. A new multiple outliers identification method in linear regression. Metrika. 2020, 83: 275–296.

Liaudanskaitė, G., Čekanavičius, V. Approximations for sums of three-valued 1-dependent symmetric random variables. Nonlinear Analysis – Modelling and Control. 2020, 25: 675–691.

National Research Projects

Research Council of Lithuania. Mathematical Foundations of Data Analysis (No S-MIP-17-76). Prof. A. Račkauskas. 2017–2020.

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:

Norvaiša, R., Račkauskas, A. Uniform asymptotic normality of weighted sums of short memory linear processes. Journal of Applied Probability. 2020, 57: 174–195.

Račkauskas, A., Wendler, M. Convergence of U-processes in Hölder spaces with application to robust detection of a changed segment. Statistical Papers. 2020, 61: 1409–1435.

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

Main publications:

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

Ragulina, O., Šiaulys, 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. Bagdonavičius

Prof. V. Čekanavičius

Assoc. Prof. R. Eidukevičius, Prof. V. Kazakevičius, Assoc. Prof. R. Levulienė, Assoc. Prof. V. Skorniakov

  • members of the Lithuanian Mathematical Society.

Prof. R. Leipus

Prof. R. Norvaiša

Prof. A. Račkauskas

Prof. M. Radavičius

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 – a member of the European Mathematical Society European Solidarity Committee.
  • Assoc. Prof. R. Levulienė – a member of Statistical Council (an advisory body of the Lithuanian Department of Statistics).
  • Prof. R. Norvaiša – a nominated expert of Lithuanian government in Education working group of OECD.
  • Prof. A. Račkauskas – 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., Manstavičius E. The Lithuanian Mathematical Society and Mathematical Life in the Country. Newsletter of the European Mathematical Society. 2020, 118: 68–70.
  • Štikonienė O., Račkauskas A., Leipus R., Markevičiūtė J. Interviews on radio, TV and articles in media on the COVID-19 modelling in Lithuania.
  • Norvaiša R. Radio shows “Dešimt balų”: Į kurią pusę kinta mūsų moksleivių pasiekimai tarptautiniuose tyrimuose? “Ugdymo meistrai” Kodėl matematika? “LRT Aktualijų studija”: Ką matematikos brandos egzamino rezultatai rodo apie mūsų švietimo sistemą?
  • Drungilas P., Leipus R., Norvaiša R. Mokyklinė matematika ir brandos egzamino rezultatai: Ką turėtume keisti? 15min, 2020 rugpjūčio 16 d.
  • Murauskaitė A. Matematikos revoliucija: profesorius paaiškino, ką daryti, kad pagerėtų rezultatai, bet paskui teks sunkinti egzaminą. LRT.LT. 02 September 2020.