Faculty of Mathematics and Informatics

Faculty of Mathematics and Informatics

Sukurta: 15 June 2020

mif24 Naugarduko, LT-03225 Vilnius
47 Didlaukios, LT-08303 Vilnius
4 Akademijos, LT-08412 Vilnius
Tel. 219 3050
E-mail: http://www.mif.vu.lt

Dean – Prof. Dr. Paulius Drungilas

 

STAFF

166 teachers (incl. 108 holding research degree), 60 research fellows (incl. 55 holding research degree), 81 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 Isurance Mathematics, Modern Elementary Mathematics and Didactics, Econometrics, Time Series Analysis

DOCTORAL DISSERTATIONS MAINTAINED IN 2019

A. Šaikūnas. Extensible parsing with earley virtual machines.
A. Valatavičius. Enterprise application interoperability evaluation using autonomic computing.
R. Jurevičius. Investigation of particle filter based visual localization for unmanned aerial vehicle flights at low-altitude.
N. Pozniak. Study and application of Euclidean matrices to surrogate modelling.
D. Stumbrienė. Data envelopment analysis for effectiveness analysis of education systems.
G. Stupurienė. Concept-driven informatics education: extension of computational thinking tasks and educational platform for primary school.
D. Gudonienė. Integrated e-learning objects design model and implementation into educational platform.
G. Stabingis. Statistical decisions for spatial information in digital images.
L. Dreižienė. Classification risk of Gaussian spatial data using linear discriminant functions.
K. Bingelė. Investigation of spectrum for a Sturm–Liouville problem with two-point nonlocal boundary conditions.
A. Eismontaitė. Singular solutions of the Stokes problems in the power cusp domains.
A. Mincevič. Value distribution theorems for the Lerch zeta-function.
M. Stoncelis. Value distributions theorems for the periodic zeta-function.

MAIN CONFERENCES ORGANIZED IN 2019

10th international doctoral consortium Informatics Engineering Education Research
11th international workshop Data Analysis Methods for Software Systems
EURO mini conference Modelling and Simulation of Social-Behavioural Phenomena in Creative Societies (MSBC-2019)
R. Leipus: chairman of the programme committee of the 60th Conference of the Lithuanian Mathematical Society, June 19–20, 2019, General Jonas Žemaitis Military Academy of Lithuania, Vilnius.

MAIN SCIENTIFIC ACHIEVEMENTS IN 2019

A novel algorithm for automatic classification of interictal electroencephalogram spikes according to the epilepsy type was proposed.
A result towards Mahler’s conjecture on the powers of a rational number has been obtained.
Computational model for the self-organization of E. coli cells and microreactors.

INSTITUTE OF DATA SCIENCE AND DIGITAL TECHNOLOGIES

mii

 

4 Akademijos, LT-08412 Vilnius
Tel. 210 9300
E-mail:
http://www.mii.lt

Director – Prof. Habil. Dr. Gintautas Dzemyda

 

 

 
GROUPS 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

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 research fellows: Dr. R. Paulavičius, Dr. E. Filatovas, Dr. V. Medvedev, Dr. A. Lančinskas.
Lecturer: Dr. A. Igumenov.
Junior research fellow: L. Stripinis.
Doctoral students: L. Stripinis, V. Jusevičius, A. Adamonis, S. Grigaitis, J. Arsenjeva, R. Bieliauskas.

RESEARCH INTERESTS

Blockchain technologies
Global optimization
Optimization software
Multi-objective optimization
High-performance computing
Artificial intelligence
Image processing
Big Data

RESEARCH PROJECTS CARRIED OUT IN 2019

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.
New efficient DIRECT-type derivative-free algorithm for general global optimization problems was developed.
A review of the blockchain technology has been carried out, the areas most frequently using blockchain technology have been identified, the main existing technological challenges emphasized, and possible future directions of the technology have been highlighted.

Main publications:

Stripinis, L., Paulavičius, R., Žilinskas, J. Penalty functions and two-step selection procedure based DIRECT-type algorithm for constrained global optimization. Structural and Multidisciplinary Optimization. 2019, 59(6): 2155–2175, doi: 10.1007/s00158-018-2181-2.

Paulavičius, R., Grigaitis, S., Igumenov, A., Filatovas, E. A decade of blockchain: review of the current status, challenges, and future directions. Informatica. 2019, 30(4): 729–748, doi: 10.15388/Informatica.2019.227

International Research Projects

COST action: High-Performance Modelling and Simulation for Big Data Applications (cHiPSet) IC1406, http://www.cost.eu/COST_Actions/ict/IC1406. Member of Managing Committee - Dr. V. Medvedev. 2014–2018.

The Big Data era poses a critically difficult challenge and striking development opportunities in High-Performance Computing (HPC): how to efficiently turn massively large data into valuable information and meaningful knowledge. Computationally effective HPC is required in a rapidly-increasing number of data-intensive domains, such as Life and Physical Sciences, and Socioeconomic Systems. Modelling and Simulation (MS) offer suitable abstractions to manage the complexity of analysing Big Data in various scientific and engineering domains. Unfortunately, Big Data problems are not always easily amenable to efficient MS over HPC. Also, MS communities may lack the detailed expertise required to exploit the full potential of HPC solutions, and HPC architects may not be fully aware of specific MS requirements. Therefore, there is an urgent need for European co-ordination to facilitate interactions among data-intensive MS and HPC experts, ensuring that the field, which is strategic and of long-standing interest in Europe, develops efficiently – from academic research to industrial practice. This Action will provide the integration to foster a novel, coordinated Big Data endeavour supported by HPC. It will strongly support information exchange, synergy and coordination of activities among leading European research groups and top global partner institutions, and will promote European software industry competitiveness.
Data batching strategies for the SOM neural network retraining to detect anomalies in streaming maritime traffic data were proposed and investigated; the effectiveness of strategies in terms of modeling precision and the data processing time were estimated on real sensor data.

Main publication:

Venskus, J., Treigys, P., Bernatavičienė, J., Tamulevičius, G., Medvedev, V. Real-time maritime traffic anomaly detection based on sensors and history data embedding. Sensors. Basel: MDPI. 2019, 19(17), art. no. 3782, p. 1–10. doi: 0.3390/s19173782.

Contractual Research

Contract (No. GLG-2018-0658) with UAB Girteka logistics Creation of the conceptual model for the pickup and delivery problem with time windows (PDPTW).

Contract (No. GLG-2019-0115) with UAB Girteka logistics Experimental comparative analysis of algebraic modeling languages, investigation of the potential of combining several modeling languages.

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)

OTHER SCIENTIFIC 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 Committees:
    o LOD2020: The Sixth International Conference on Machine Learning, Optimization, and Data Science, Sienna, Italy, 2020;
    o NUMTA-2019: The 3rd International Conference and Summer School, Crotone, Italy, 2019;
    o 1st Workshop on Blockchain and Smart Contract Technologies (BSCT 2018), Poznan, Poland, 2018;
    o LION12: Learning and Intelligent Optimization Conference, Kalamata, Greece, 2018.

Dr. E. Filatovas –

  • member of International Society on Multiple Criteria Decision Making (MCDM);
  • member of the Lithuanian Computer Society (LIKS);
  • member of Program/Scientific Committees:
    ○ 1st Workshop on Blockchain and Smart Contract Technologies (BSCT 2018).

Dr. V. Medvedev –

  • 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 Committees:
    ○ International Workshop on Secure Mobile Cloud Computing (IWoSeMC-20), http://iwosemc.eu/. Melbourne (Australia), May 11–14, 2020.

Dr. A. Lančinskas –

  • affiliate member of European Network of Excellence on High Performance and Embedded Architecture and Compilation (HiPEAC), www.hipeac.net;
  • member of Program/Scientific Committees:
    o 16th International Conference on Parallel Problem Solving from Nature (PPSN 2020);
    o Black Box Discrete Optimization Benchmarking (BB-DOB) Workshop at the Genetic and Evolutionary Computation Conference (GECCO 2019);
    o 3rd International Workshop on Theoretical Approaches to Performance Evaluation, Modeling and Simulation (TAPEMS 2019).

COGNITIVE COMPUTING GROUP

4 Akademijos, LT-08663 Vilnius
Tel. 210 9300
E-mail:

Head – Prof. Habil. Dr. Gintautas Dzemyda

STAFF

Principal research fellows: Prof. Habil. Dr. G. Dzemyda, Prof. Dr. O. Kurasova, Prof. Dr. K. Dučinskas, Prof. Dr. A. Jakaitienė, Dr. R. Dukynaitė, Dr. S. Raižienė, Prof. Habil. Dr. R. Želvys.
Affiliated research fellow: Prof. Habil. Dr. J. Mockus.
Research fellow: Dr. R. Karbauskaitė.
Junior research fellows: Dr. M. Sabaliauskas, Dr. D. Stumbrienė, J. Vaitiekaitis.
Specialists and engineering staff: V. Tiešis, Dr. L. Ringienė, L. Mikalauskienė, R. Savukynas, A. Šubonienė.
Postdoctoral researcher: G. A. Melnik.
Doctoral students: A. Daranda, P. Gudžius, R. Jurevičius, M. Karaliutė, R. Puronaitė, M. Stankevičius, D. Stumbrienė, R. Toliušis, V. Bulavas, N. Kondrat, Ž.Vaišnoras.

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 2019

Projects Supported by University Budget

Optimal Decisions in the Problems of Data Mining, Visualization, and Image Processing. Prof. Habil. Dr. G. Dzemyda, Prof. Dr. O. Kurasova. 2017–2019.

The aim of the project is to develop the integrated data mining, visualization, and image processing methods and tools and to apply them for solving the problems in economics, education, health care, medicine and chemical engineering.
Application of fractal dimension-based speech signal features to evaluate the speech emotions.
Extending the Data Envelopment Analysis (DEA) model for Composite Indicators computation, allowing for a gradual transition from fixed to flexible weights when aggregating selected variables in a study.
Improvement of the accuracy of Isomap algorithm in the analysis of hyperspectral images - to achieve this, Isomap has been based on SMACOF, which is the most accurate MDS method, instead of classical scaling such as eigen-decomposition process.

Main publications:

Tamulevičius, G., Karbauskaitė, R., Dzemyda, G. Speech emotion classification using fractal dimension-based features. Nonlinear Analysis: Modelling and Control. 2019, 24(5): 679–695.

Stumbriene, D., Camanho, A. S., & Jakaitiene, A. The performance of education systems in the light of Europe 2020 strategy. Annals of Operations Research. 2019, 1–32.

Orts Gomez, F. J., Ortega Lopez, G., Filatovas E., Kurasova, O., Martın Garzon, G. E. Hyperspectral image classification using Isomap with SMACOF. Informatica. 2019, 30(2): 349–365.

National Research Projects

Research Council of Lithuania. Geometric Method for Solving the Problem of Multidimensional Scaling. No. MSF-LMT-4. Prof. Habil. Dr. G. Dzemyda. 2019–2021.

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 new interpretation of the stress allows finding 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. New method to minimize the stress in multidimensional scaling. In: Filzmoser P., Kharin Yu. (Eds.), Computer Data Analysis and Modeling: Stochastics and Data Science: Proc. of the Twelfth Intern. 2019. Conf. BSU, Minsk. 29–31.

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. School leadership and educational effectiveness: Lithuanian case in comparative perspective. Management: Journal of Contemporary Management Issues. Croatia: 2019, 24(Special Issue): 17–36. doi: 10.30924/mjcmi.24.si.2.

Raižienė, S., Stumbrienė, D., Ringienė, L., Dukynaitė, R., Jakaitienė, A. Students’ performance and teaching practices in science across EU countries: evidence from PISA 2015. The European Proceedings of Social & Behavioural Sciences (EpSBS), ICEEPSY 2018. UK. 2019, vol. LIII: 241–254. doi: 10.15405/epsbs.2019.01.24

International Research Projects

COST action: Open Multiscale Systems Medicine CA15120 Member of Managing Committee, http://www.cost.eu/COST_Actions/ca/CA15120. Dr. J. Bernatavičienė. 2016–2020.

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

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

OTHER RESEARCH ACTIVITIES

Prof. Habil. Dr. G. Dzemyda –

  • member of Lithuanian Academy of Sience, http://lma.lt;
  • member of programme committees of the international conferences:
    o International Conference on Operations Research and Enterprise Systems (ICORES 2019),
    o International Conference on Sensor Networks (SENSORNET 2019),
    o NUMTA-2019, Numerical Computations: Theory And Algorithms, The 3rd International Conference And Summer School, 2019, Italy,
    o CDAM-2019, Computer Data Analysis & Modeling, 2019, Belarus;
  • chairman of the 11th International Workshop Data Analysis Methods for Software Systems, Druskininkai, Lithuania, 2019, 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. Habil. Dr. 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

Principal researcher: Prof. Dr. S. Gudas.
Senior researcher: Prof. Dr. D. Dzemydienė.
Researchers: Dr. R. Alonderis, Assoc. Prof. Dr. A. Lupeikienė, Dr. S. Maskeliūnas.
Junior researchers: Dr. J. Miliauskaitė, Dr. H. Giedra.
Affiliated researchers: Prof. Dr. A. Čaplinskas, Prof. Habil. Dr. S. Jukna, Assoc. Prof. Habil. Dr. R. R. Pliuškevičius, Assoc. Prof. Dr. A. Pliuškevičienė.
Other Staff: Prof. Dr. O. Vasilecas, L. Paliulionienė.
Doctoral students: A. Šaikūnas, A.Valatavičius, M. Jusis, E. Arbataitis, V. Radzevičius, A. Širaliov, K. Noreika.

RESEARCH INTERESTS

Software engineering for cyber-physical-social systems:
- Theoretical foundations of information systems
- Domain causal dependencies modeling for software engineering
- Model based applications development (MBD) for different types of domains (enterprises, Internet of Things, smart systems, etc.)
- Knowledge-based development of cyber-physical-social systems
- Process mining
Mathematical logic:
- Automated deduction
- Knowledge analysis methods
- Deductive systems

RESEARCH PROJECTS CARRIED OUT IN 2019

Projects Supported by University Budget

Research in the Area of Cyber-Social Systems Engineering. Development of Methods and Technologies at the Intersection of Cyber-Physical and Cyber-Social Systems. 2018–2020.

Prof. Dr. S. Gudas (leader), Dr. R. Alonderis, Prof. Dr. D. Dzemydienė, Affil. 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. Habil. Dr. R. Pliuškevičius, Affil. Assoc. Prof. Dr. A. Pliuškevičienė, Affil. Habil. Dr. S. Jukna, doctoral students A. Šaikūnas, A. Valatavičius, M. Jusis, E. Arbataitis, V. Radzevičius, A. Širaliov, K.Noreika.

Domain causation modeling is applied a) for the analysis of a curriculum content; b) to create causal model frameworks – MODAF (UPDM) frameworks additions; c) for the analysis of the efficiency of shipping containers handling/loading control methods and procedures; d) to evaluate interoperability of applications. Domain causation modeling methodology included in a scientific project application: 4.1. Horizon2020 Project Application (Project Acronym DISC, Application No. 951700).
A general methodological framework of membership function development was designed for solving the fuzzification problem in the enterprise business service quality planning in service-oriented enterprise systems.
A cyclic sequent calculus for linear discrete temporal logic was constructed. It was proved that the rule of cut is admissible in this calculus.
An approach for provision of e-services based on multilayer system architecture was developed by using artificial intelligence methods such as knowledge-based production process management for control of fabric manufacturing processes.

Main publications:

Gudas, S., Tekutov, J., Butleris, R., Denisovas, V. Modelling subject domain causality for learning content renewal. Informatica. 2019, 30(3): 455–480. doi: 10.15388/Informatica.2019.214.

Eglynas, T., Jusis, M., Jakovlev, S., Senulis, A., Andziulis, A., Gudas, S. Analysis of the efficiency of shipping containers handling/loading control methods and procedures. Advances in Mechanical Engineering. London : SAGE publications Ltd. 2019, 11(1): 1–12. doi: 10.1177/1687814018821229.

Miliauskaitė, J., Kalibatiene, D. On general framework of type-1 membership function construction: case study in QoS planning. International Journal of Fuzzy Systems. 2019. doi:10.1007/s40815-019-00753-4, https://doi.org/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)
University of Geneva (Switzerland)
University of Frankfurt (Germany)
Hasselt University (Belgium)

OTHER RESEARCH ACTIVITIES

Prof. Dr. S. Gudas –

  • program committee member of the 15th international conference Beyond Databases, Architectures and Structures (BDAS 2019) during IFIP World Computer Congress (IFIP WCC), Ustron, Poland, May 28–31, 2019, http://bdas.polsl.pl/;
  • 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 25th International Conference on Information and Software Technologies (ICIST 2019), https://icist.ktu.edu/#Programme-Committee-members.

Prof. Dr. D. Dzemydienė –

Assoc. Prof. Dr. A. Lupeikienė –

  • editorial board member of the Scientific Journal of Riga Technical University: Applied Computer Systems, https://ortus.rtu.lv/science/en/series/16;
  • 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 23nd European Conference on Advances in Databases and Information Systems (ADBIS 2019), https://adbis2019.um.si/;
  • program committee member of the 12th International Conference on Agents and Artificial Intelligence (ICAART 2020), http://www.icaart.org/.

Dr. S. Maskeliūnas –

Prof. Dr. A. Čaplinskas –

Prof. Habil. Dr. S. Jukna –

Assoc. Prof. Habil. Dr. R. Pliuškevičius –

L. Paliulionienė –

EDUCATION SYSTEM GROUP

4 Akademijos, LT-08663 Vilnius
Tel. 210 9732
E-mail:
https://www.mii.lt/struktura/moksliniai-padaliniai/edukaciniu-sistemu-grupe

Head – Prof. Dr. Valentina Dagienė

STAFF

Chief research fellow: Prof. Dr. V. Dagienė.
Senior research fellow: Dr. J. Kurilov.
Research fellows: Dr. T. Jevsikova, Dr. A. Juškevičienė, Dr. V. Dolgopolovas.
Junior research fellow: Dr. G. Stupurienė.
Doctoral students: V. Dvareckienė, I. Krikun, O. Mirzianov, T. Šiaulys, A. Urbaitytė, L. Vinikienė.
Affiliated senior research fellows: 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 2019

Projects Supported by University Budget

Research on Intelligent Technologies Application for Teaching, Learning and Cultural Environment. Prof. Dr. V. Dagienė, 2015–2019.

Developing 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.

Main publications:

Dolgopolovas, V., Dagienė, V., Jasutė, E., Jevsikova, T. Design science research for computational thinking in constructionist education: a pragmatist perspective (Informatinio mąstymo ugdymo konstrukcionistinėje aplinkoje projektavimo moksliniai tyrimai: pragmatistinė perspektyva). Problemos. 2019, 95: 144–159. doi: 10.15388/Problemos.95.12.

Juškevičienė, A., Passey, D. Computing education, outcomes of. Encyclopedia of Education and Information Technologies. Tatnall A. (ed). Cham : Springer Nature, 2019, 4–14. doi: 10.1007/978-3-319-60013-0_89-1.

Dagienė, V., Jevsikova, T., Stupurienė, G. Introducing informatics in primary education: curriculum and teachers’ perspectives. Informatics in Schools. New Ideas in School Informatics: 12th international conference on informatics in schools: Situation, Evolution, and Perspectives, ISSEP 2019. Larnaca, Cyprus, November 18–20, 2019: proceedings. Cham: Springer, 2019, 83–94. (Lecture notes in computer science, vol. 11913). doi: 10.1007/978-3-030-33759-9_7.

Research Council of Lithuania. PostDoc Algorithmic Thinking Enhancement by Modern Technologies in Basic Education. Dr. A. Juškevičienė, 2017–2019.

International Research Projects

Intercultural Learning in Mathematics and Science: Initial Teacher Education (IncluSMe), 2016-1-DE01-KA203-002910.

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

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

Ankara University (Turkey)
ETH Zurich (Switzerland)
Lancaster University (UK)
Radboud University Nijmegen (The Netherlands)
Turku University (Finland)

OTHER RESEARCH ACTIVITIES

Prof. Dr. V. Dagienė –

  • editor-in-Chief of the journal Informatics in Education, http://www.mii.lt/informatics_in_education (Clarivate Analytics Web of Science Core Collection; Scopus; etc.);
  • editor-in-Chief of the journal Olympiads in Informatics (Scopus, etc), https://ioinformatics.org/page/ioi-journal-editorial-board/2;
  • area editor (Computing Didactics) of the Baltic Journal of Modern Computing, https://www.bjmc.lu.lv (Clarivate Analytics Web of Science Core Collection; Scopus; etc.);
  • editorial board member of the journals: International Journal of Digital Literacy and Digital Competence; International Journal of Instruction; Acta Paedaogica Vilnensia;
  • guest co-editor of the Computer Applications in Engineering Education (Wiley), Special Issue on Computational Thinking for STEAM and Engineering Education, https://onlinelibrary.wiley.com/journal/10990542 (Clarivate Web of Science Core Collection);
  • coordinator of the Nordplus Network on Innovative Computing Engineering Education Research;
  • representative of Lithuania in Education Committee TC3 under the International Federation for Information Processing (IFIP);
  • member of Steering Committee of International Olympiads in Informatics, https://ioinformatics.org/page/committees/6;
  • chair of the Bebras Board (International Challenge on Informatics and Computational Thinking), https://www.bebras.org/?q=community.

Assoc. Prof. Dr. J. Kurilov –

Dr. V. Dolgopolovas –

  • member of the local editorial board of the journal Informatics in Education, http://www.mii.lt/informatics_in_education/ (Clarivate Web of Science Core Collection);
  • guest co-editor of the Computer Applications in Engineering Education (Wiley), Special Issue on Computational Thinking for STEAM and Engineering Education, https://onlinelibrary.wiley.com/journal/10990542 (Clarivate Web of Science Core Collection);
  • 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 Robotics Laboratory and Visual Programming Laboratory.

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

Book: V. Dagienė. Mąstau ir kuriu. Integruotos informatikos užduotys 6-8 metų vaikams [I think and create. Integrated Informatics tasks for 6-8 year olds; in Lithuanian]. Baltos lankos. 2019 (An electronic supplement to this textbook has been published as well as detailed methodological guidelines for teachers).

Valentina Dagienė, Gabrielė Stupurienė, Tatjana Jevsikova, Vaidotas Kinčius organises International Challenge on Informatics and Computational Thinking “Bebras”, they create, translate, test tasks and develop methodological materials for teachers.

GLOBAL OPTIMIZATION GROUP

4 Akademijos, LT-08663 Vilnius
Tel. 210 9304
E-mail:

Head – Prof. Dr. Julius Žilinskas

STAFF

Principal research fellows: Prof. Dr. J. Žilinskas, Prof. Habil. Dr. A. Žilinskas.
Senior research fellows: Assoc. Prof. Dr. A. Lančinskas, Assoc. Prof. Dr. R. Pupeikis.
Doctoral students: R. Kriauzienė, E. Zikarienė, S. Tautvaišas, K. Noreika.

RESEARCH INTERESTS

Optimization and high-performance computing

RESEARCH PROJECTS CARRIED OUT IN 2019

Projects Supported by University Budget

Global Optimization. Prof. Dr. J. Žilinskas.

The aim is development of global optimization algorithms and application of them to optimization problems.
The main results were: global optimization algorithms with constraints; heuristic algorithms for competitive facility location problems; Bi-objective decision making in Bayesian global optimization; linear convolution computations online optimization algorithm.

Main publications:

Stripinis, L., Paulavičius, R., Žilinskas, J. Penalty functions and two-step selection procedure based DIRECT-type algorithm for constrained global optimization. Structural and Multidisciplinary Optimization. 2019, 59(6): 2155–2175.

Žilinskas, A., Calvin, J. Bi-objective decision making in global optimization based on statistical models. Journal of Global Optimization. 2019, 74: 599–609.

Žilinskas, A., Gimbutienė, G. A hybrid of Bayesian approach based global search with clustering aided local refinement. Communications in Nonlinear Science and Numerical Simulation. 2019, 78: 104857.

National Research Projects

Research Council of Lithuania. Development and Parallelization of Ranking-Based Optimization Algorithms (No. 09.3.3-LMT-K-712-02-0087). Dr. A. Lančinskas, 2017–2019.

The project deals with combinatorial optimization algorithms and their application to high-performance computing systems. 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 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.

Research Council of Lithuania. Innovative Methods of Stochastic Global Optimization. (No. S-MIP-17-97/LSS-580000-1328) Prof. Habil. Dr. A. Žilinskas. 2017–2019.

The goal of the project is the creation of a unified stochastic global optimization (GO) theory. It is aimed at the breakthrough in the development of GO algorithms, which will be based on fundamental postulates of the theory of rational decision making under uncertainty supplemented by the statistical models which represent considered classes of problems. The research is aimed at the reduction of complexity of auxiliary computations, and increase of dimensionality of practically solvable problems. The research is focused on single objective algorithms but some theoretical results are also generalized for multi-objective case. In the field of random search, the rate of convergence of general algorithms in the case of large dimension is investigated. In particular, we study precision of statistical estimates of the global minimum in the case of large dimensions, and show the degree in which these estimates suffer the so‐called curse of dimensionality. Additionally, we study advantages and disadvantages of the use of quasi‐random points in place of the random ones in large dimensions. Special versions of the algorithms are developed for the perspective computer patented as “the infinity computer” and their theoretical efficiency is assessed. The results of application of the developed algorithm to a real world problem are provided.

International Research Projects

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 RESEARCH ACHIEVEMENTS IN 2019

Global optimization algorithms with constraints.
Heuristic algorithms for competitive facility location problems.
Bi-objective decision making in Bayesian global optimization.
Linear convolution computations real time optimization algorithm.

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 (UK)
Università della Calabria (Italy)
Cardiff University (UK)
New Jersey Institute of Technology (USA)

OTHER RESEARCH ACTIVITIES

Prof. Dr. J. Žilinskas –

Prof. Habil. Dr. 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);
  • member of conference program committees:
    o Black Box Discrete Optimization Benchmarking (BB-DOB) Workshop at the Genetic and Evolutionary Computation Conference (GECCO 2019),
    o 3rd International Workshop on Theoretical Approaches to Performance Evaluation, Modeling and Simulation (TAPEMS 2019,)
    o 19th International Conference on Algorithms and Architectures for Parallel Processing (ICA3PP 2019).

IMAGE AND SIGNAL ANALYSIS GROUP

4 Akademijos, LT-08663 Vilnius
Tel. 210 9328
E-mail:

Head – Assoc. Prof. Dr. Povilas Treigys

STAFF

Senior research fellows: Assoc. Prof. Dr. P. Treigys, Dr. G. Korvel, Assoc. Prof. Dr. G. Tamulevičius, Dr. J. Bernatavičienė.
Affiliated research fellows: Prof. Habil. Dr. K. Kazlauskas, Prof. Habil. Dr. A. L. Telksnys.
Senior specialist: G. Navickas.
Doctoral students: B. Čiapas, M. Morkūnas, J. Venskus.

RESEARCH INTERESTS
Audio and image signal processing
Random processes analysis and recognition

RESEARCH PROJECTS CARRIED OUT IN 2019

Project Supported by University Budget

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

The aim is to develop machine-learning algorithms for lymphocyte nuclei in WSI image detections and classification; autoecoder based colagen network extraction deep learning model in WSI images; develop LSTM model for unusual maritime traffic detection; to explore white and colour nose impact on speech signal analysis and modelling.
The results are as follows: developed model for histological image cell segmentation and classification; explored audio signal feature spaces and built classifier; developed test bet for Lithuanian speech phoneme automated segmentation.

International Research Projects

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 above-mentioned 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.
Main results are as follows: 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. Habil. Dr. A. L. Telksnys –

Prof. Habil. Dr. 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

Principal research fellows: Prof. Habil. Dr. L. Sakalauskas, Prof. Dr. R. Laužikas.
Senior research fellows: Dr. V. Marcinkevičius, Prof. Dr. S. Minkevičius, Prof. Dr. D. Plikynas, Assoc. Prof. Dr. I. Belovas.
Affiliated research fellow: Assoc. Prof. Dr. S. Steišūnas.
Junior research fellow: A. Miliauskas.
Specialists and engineering staff: Dr. G. Jakimauskas, Dr. V. Zubaitienė, V. Dulskis, S. Meškauskienė, L. Mikalauskienė, M. Sabaliauskas, Ž. Sideravičius.
Doctoral students: D. Kavaliauskas, J. Kurilova, J. Vaičiulytė, L. Ališauskas, A. Jurgelevičius, R. Savukynas, M. Stankevičius, V. Dulskis, P. Vaitkevičius, N. Urbonaitė.

RESEARCH INTERESTS

Machine learning and its application
Artificial intelligence and its application
Natural language processing
Cyber security
Mathematical modeling
Image analysis
Visual odometry and localization
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 2019

National Research Projects

Social Impact of Cultural Processes: Development of Metrics, Conceptual and Simulation Model. Dr. D. Plikynas. 2017– 2019.

Main goal is development of the measuring metrics, conceptual and agent-based simulation model aimed at investigation of the social impact of cultural processes.
Conceptual modelling of social impact to the cultural processes (events, agents and objects) using CIDOC-CRM methodic.
Development of a novel metrics for the quantitative measuring of social capital and social cohesion.
Standardized ODD protocol (used for the development of the agent-based simulation tools) employment for the detailed (technical) description of the conceptual model.
Algorithmization and mathematical modelling using the detailed (technical) ODD description.
Selection and adaptation of an agent-based simulation platform NetLogo, that is used for the programming implementation of the mathematical model.
Successful passing of the interim report reviewed by Lithuania science council experts.

Main publications:

D. Plikynas, L. Sakalauskas, A. Raudys. Conceptual modelling of brain state dynamics as free energy and entropy-based processes. Informatika. 2019, 30(4): 749–780.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) 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)
    - ESSA (European Social Simulation Association)
    - ECCAI (European Coordinating Committee for Artificial Intelligence)

Assoc. Prof. Dr. I. Belovas –

Assoc. Prof. Dr. S. Minkevičius –

Dr. V. Marcinkevičius –

STATISTICS AND PROBABILITY GROUP

4 Akademijos, LT-08663 Vilnius
Tel. 210 9731
E-mail

Head – Prof. Habil. Dr. Kęstutis Kubilius

STAFF

Principal research fellows: Prof. Habil. Dr. K. Kubilius, Dr. S. Norvidas.
Professor: Prof. Habil. Dr. M. Sapagovas (emeritus).
Senior research fellows: Dr. D. E. Otera, Dr. M. Radavičius, Prof. Habil. Dr. R. Rudzkis, Dr. M. Vaičiulis.
Research fellows: Dr. A. Astrauskas Dr. A. Bakšaev Dr. A. Čiginas, Dr. D. Dzindzalieta, Dr. V. Kurauskas. Dr. T. Juškevičius.
Junior research fellow: Dr. J. Novickij.
Affiliated research fellows: Dr. J. J. Mačys, Prof. Dr. R. Mikulevičius, Prof. Habil. Dr. 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 2018

Projects Supported by University Budget

Analysis and Application of Probabilistic Models and the Study of Asymptotic Properties. Prof. Habil. Dr. K. Kubilius. 2017–2019.

Optimal Littlewood-Offord type inequality for arbitrary multidimensional distributions is obtained. Strong consitency and asymptotic noramal estimator of solutions of SDE with non-Lipschitz diffusion coefficient driven by a fractional Brownian motion is obtained. It is proved that the Hurst estimator preserves its properties, if we replace the solution with its backward Euler approximation.
A method for estimating the approximation error using the maximum norm for the convergence of a finite-difference scheme of a two-dimensional nonlinear elliptic equation in a rectangular region with an integral boundary condition is proposed.

Main publications:

Juškevičius, T., Šemetulskis, G. Optimal Littlewood-Offord inequalities in groups. Combinatorica. 2019, 39(4): 911–921. doi: 10.1007/s00493-018-3845-7.

Sapagovas, M., Štikonienė, O., Jakubėlienė, K., Čiupaila, R. Finite difference method for boundary value problem for nonlinear elliptic equation with nonlocal conditions. Boundary Value Problems. 2019, vol. 2019, iss. 1, art. no. 94: 39–62. doi: 10.1186/s13661-019-1202-4

National Research Projects

Research Council of Lithuania. A Visit to the Lithuanian Institute of Science and Studies to Raise the Competence of Scientists (No. 09.3.3-LMT-K-712-12-0007). Prof. Habil. Dr. K. Kubilius. 2019–2019.

The aim of the project is to improve the competence of VU Mathematics and Informatics scientists together with Ukrainian scientist prof. habil. Dr. Yuliya Mishura in the study “Fractional stochastic processes with short and long memory and their applications”.

Research Council of Lithuania. Optimal Inequalities for Concentration Function, Entropy, and Number of Random Polynomial Roots (No. 09.3.3-LMT-K-712-02-0151). Dr. T. Juškevičius. 2017–2019.

The aim of the project was to evaluate the Levy concentration function for the measure of the coupling coefficients, the Shannon and differential entropy estimators for random variables, and the estimation of the number of roots of random trigonometric polynomials.

OTHER RESEARCH ACTIVITIES

Prof. K. Kubilius –

Prof. S. Norvidas –

Assoc Prof. M. Radavičius –

Prof. R. Rudzkis –

Prof. Emeritus M. Sapagovas –

 

INSTITUTE OF COMPUTER SCIENCE

47 Didlaukio, LT-08303 Vilnius
Tel. 219 5040
E-mail:

Director – Prof. Dr. Romas Baronas

DEPARTMENTS OF THE INSTITUTE

Department of Computational and Data Modeling
Department of Computer Science
Department of Mathematical Computer Science
Department of Software Engineering

RESEARCH AREAS

Informatics
Informatics engineering
Fundamental mathematics
Applied mathematics

BEST REPORTS DELIVERED AT CONFERENCES ABROAD

Krasauskas, R., Zubė, S. 2019. Rational Offsets of Regular Quadrics Revisited, International Geometry Summit 2019, June 17–21, 2019, Vancouver, Canada.
Raila, T., Meškauskas, T., Valinčius, G., Jankunec, M., Penkauskas, T. 2019. Computer modeling of electrochemical impedance spectra for defected phospholipid membranes: finite element analysis, The 3rd International Conference NUMTA 2019, June 15–21, 2019, Crotone, Italy.

Brilingaitė, A., Bukauskas, L., Kutka, E. 2019. Detection of premeditated security vulnerabilities in mobile applications, The 18th European conference on Cyber Warfare and Security ECCWS 2019, July 4–5, 2019, University of Coimbra, Portugal.

Petkevičius, L., Baronas, R. 2019. Modeling and simulation of porous multi layer microbioreactos, 33rd International European Council for Modelling and Simulation Conference on Modelling and Simulation, ECMS 2019, June 11 - 14, 2019, Caserta, Area of Napoli, Italy.

Iliasov, A., Romanovsky, A., Laibinis, L. 2019. Quantitavive Validation of Formal Domain Models, 19th IEEE International Symposium on High Assurance Systems Engineering HASE 2019, Jan 3, 2019 - Jan 5, 2019, HangZhou, China.

MAIN SCIENTIFIC ACHIEVEMENTS IN 2019

A novel algorithm for automatic classification of interictal electroencephalogram spikes according to the epilepsy type was proposed.

Computational model for the self-organization of E. coli cells and microreactors.

As a result, a novel validation approach based on statistical testing of automatically generated verification conditions against pre-validated data sets was developed.

DEPARTMENT OF MATHEMATICAL COMPUTER SCIENCE

47 Didlaukio, LT-08303 Vilnius
Tel. 219 5030
Email:

Head – Assoc. Prof. Dr. Vilius Stakėnas

STAFF

Professors: Habil. Dr. M. Bloznelis, Dr. S. Gražulis (part-time), Habil. Dr. Ž. Lukšienė (part-time).
Associate professors: Dr. G. Bareikis, Dr. A. Mačiulis, Dr. V. Stakėnas, Dr. V. Zacharovas.
Lecturers: I. Grinis, G. Košubienė (part-time).
Research fellow: Dr. G. Alkauskas.

RESEARCH INTERESTS

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

RESEARCH PROJECTS CARRIED OUT IN 2019

Projects Supported by University Budget

Analysis of Discrete Structures by Probabilistic, Combinatorial and Analytical Methods.
Prof. M. Bloznelis, Assoc. Prof. A. Mačiulis. 2017–2022.

A first order asymptotics of the local probabilities of randomly stopped sums of heavy tailed random variables was established. The result was motivated by and applied to the analysis of clustering properties of power law complex networks.

It was proved that any beta distribution can be simulated by means of a sequence of distributions defined via multiplicative functions in a short interval.

A value distribution theory for arithmetical functions defined on the set of rational numbers specified by Cantor expansions is developed.
Exploitinig Krawtchouk-Parseval identity the estimate of difference between binomial and generalized binomial distributions in χ2 metric is obtained. As a consequence an estimate of difference of those distributions in Kullback-Leibner and other related metrics is proved.

Main publications:

Bloznelis, M. Local probabilities of randomly stopped sums of power law lattice random variables. Lithuanian Mathematical Journal. 2019, 59(4): 437–468.

Bareikis, G., Hidri, A., Mačiulis, A. Modeling the beta distribution in short intervals. Lithuanian Mathematical Journal. 2019, 59(1): 6–16.

Stakėnas, V. The Cantor expansions, rational numbers, arithmetical functions. Lithuanian Mathematical Journal. 2019, 59(2): 213–228.

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 –

member of the Lithuanian Mathematical Society, http://www.lmd.mif.vu.lt/;
member of the American Mathematical Society, http://www.ams.org.

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES

Dr. G. Alkauskas –
A conversation with composer Prof. Rytis Mažulis about music and mathematics: https://www.mic.lt/lt/ivykiai/2019/10/31/muzika-algoritmai-romantizmas-kalbasi-kompozitoriu/

An interview about scientists in Arts: https://www.lrt.lt/mediateka/irasas/2000080111/muza-ant-peties-mokslininkai-mene-ir-menininkai-moks

Recognition that an important Andrews-Fraenkel-Sellers theorem is in fact Alkauskas theorem proved 16 years earlier: https://sites.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/afs.html

DEPARTMENT OF COMPUTATIONAL AND DATA MODELING

47 Didlaukio, LT-08303 Vilnius
Tel. 219 5020
E-mail: ,

Head – Prof. Dr. Tadas Meškauskas

STAFF

Professors: Habil. Dr. 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.
Teaching assistants: R. Astrauskas, A. V. Misiukas Misiūnas (part-time), T. Raila (part-time).
Lecturers: Dr. V. Čeikutė (part-time), Dr. J. Ignatavičiūtė, Dr. A. Šaltis (part-time), L. Būtėnas (part-time), V. Krinickij, E. Kutka, V. Masiulionytė-Dagienė (part-time), G. Šamrickis (part-time), B. Šulmanas (part-time).
Partnership associate professors: T. G. Lipnevičius (part-time), R. Markauskas (part-time).
Doctoral students: S. Bucka, G. Dreižas, A. V. Misiukas Misiūnas, A. Nečiporenko, T. Raila.

RESEARCH INTERESTS

Methods and applications of nonlinear and computational modeling, computational geometry
Methods of computer vision, medical imaging, digital imaging, speech and signal processing, data structures and algorithms
Computational modeling 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
Cyber security
Education in computer science

RESEARCH PROJECTS CARRIED OUT IN 2019

Projects Supported by University Budget

Research and Application of Methods for Computational and Geometric Modeling, Images, Signals and Databases Analysis. Dr. T. Meškauskas. 2019–2023.

A novel algorithm for automatic classification of interictal electroencephalogram spikes according to the epilepsy type was proposed.
An algorithm, based on finite elment analysis that allows calculation of defect density as well as evaluation of the physical size of defects in tethered bilayer membranes was researched.
Research on detection of premeditated security vulnerabilities in mobile applications and new efficient TKHC-based Image sharing scheme over unsecured channel was conducted.
Kinematic interpretation of Darboux cyclides as orbits of quadratic surfaces in the Study quadric was analysed.
Impact of ultra-micro electrode geometry on approach curves registered by scanning electrochemical microscopy was established by computer modeling.
Algorithms and machine learning methodologies for applications in CMS (Compact Muon Solenoid) offline and online computing were proposed.

Main publications:

Raila, T., Penkauskas, T., Jankunec, M., Dreižas, G., Meškauskas, T., Valinčius, G. 2019. Electrochemical impedance of randomly distributed defects in tethered phospholipid bilayers: Finite element analysis. Electrochimica Acta. 2019, 299: 863–874. doi: 10.1016/j.electacta.2018.12.148.

Astrauskas, R., Ivanauskas, F., Morkvėnaitė-Vilkončienė, I., Ramanavičius, A. 2019. Mathematical modelling of the influence of ultra-micro electrode geometry on approach curves registered by scanning electrochemical microscopy. Electroanalysis. 2019, 31(11): 2214–2223. doi: 10.1002/elan.201900313.

Misiukas, A., Misiūnas, V., Meškauskas, T., Samaitienė, R. Algorithm for automatic EEG classification according to the epilepsy type: Benign focal childhood epilepsy and structural focal epilepsy. Biomedical Signal Processing and Control. 2019, 48: 118–127. doi: 10.1016/j.bspc.2018.10.006.

National Research Projects

Research Council of Lithuania, Quantitative Assessment of The 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.

The relation between electrochemical impedance spectral features and structural properties of defected three-dimensional biological membranes models was analyzed by finite element analysis technique.

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 Filology, Vilnius University, Dr. P. Kasparaitis and Dr. M. Beniušė. 2017–2020.

Natural language text analysis methods were investigated.

Main publication:

Kasparaitis, P., Beniušė, M. 2019. Statistical parametric speech synthesis of Lithuanian. 26th International Scientific Conference of Jonas Jablonskis Linguistic Diversity in the Modern World: Language Power and Prestige, Lithuania, Vilnius, 3–4 October 2019. (e-book), http://lki.lt/wp-content/uploads/2019/09/E-book-of-Abstracts-2019.pdf.

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 and Dr. A. Čivilis. 2019–2023.

Amber Mist 2019. Project leader Dr. Linas Bukauskas, Dr. A. Brilingaitė 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.

Main publication:

Brilingaitė, A., Bukauskas, L., Kutka, E. 2019. Detection of premeditated security vulnerabilities in mobile applications. Proceedings of the18th European conference on Cyber Warfare and Security ECCWS 2019, University of Coimbra, Portugal, 4–5 July 2019. Reading: Academic Conferences and Publishing International Limited. 2019, p. 63–71.

High Precision Client Identification and Navigation in Amusement Parks (LVPA „Intelektas“). Dr. V. Rapševičius. T. Raila. 2017–2019.

Research and prototyping of innovative system for client tracking systems based on UHF, RFID and UWB technologies.

Inovative Methods of Early Detection of Plant Diseases by Using Hyperspectral Imaging (LVPA „Intelektas“). Dr. V. Rapševičius. 2017–2019.

Research of machine learning and denoising methods for plant diseases identification from hyperspectral images acquired from UAV cameras.

Methods of Plant Nutrition Identification by Using Hyperspectral Imaging (LVPA „Intelektas“). Dr. V. Rapševičius. 2017–2019.

Research of machine learning and denoising methods for nutritions in plants identification from hyperspectral images acquired from UAV cameras.

Blockchain Solution to Ensure the Secure Usage and Storage of Food Safety Data and Mathematical Algorithms (Models) (LVPA „Intelektas“). Dr. V. Rapševičius. 2019.

Collaboration to specify and develop the blockchain-based platform for food safety data and algorithms to secure the intelectual property.

International Research Projects

CERN, CMS software, Detector monitoring platform, Data Quality monitoring, Learning Machine and Databases, Dr. A. Juozapavičius and Dr. V. Rapševičius. 2019.

Project aims to develop and monitor CMS Data and Detector platform, Databases and Machine Learning platform as a part of CMS Collaboration software. Tasks involve baseline calculations, monitoring, control and execution of infrastructural environment, creating software development tools for innovation, accountability and training.

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.

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

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

Armed forces of Lithuania (Lithuania)
Aalborg University (Denmark)
CERN (Switzerland)
Financial Crime Investigation Service (Lithuania)
Strategeens, JSC (Lithuania)

OTHER RESEARC ACTIVITIES

Prof. Emeritus F. Ivanauskas –

Prof. A. Juozapavičius –

Assoc. Prof. A. Brilingaitė –

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 NATIONAL AND INTERNATIONAL AWARDS RECEIVED FOR R&D ACTIVITIES

Prof. Emeritus F. Ivanauskas and Prof. T. Meškauskas –

May 8, 2019, Vilnius University Rector's Award for Significant Scientific Achievements in 2018 (Best Publications in Physical, Biomedical and Technological Sciences category) for the article: M. Sapagovas, T. Meškauskas, F. Ivanauskas. Influence of complex coefficients on the stability of difference scheme for parabolic equations with non-local conditions. Applied Mathematics and Computation. 2018, 332: 228–240, doi: 10.1016/j.amc.2018.03.072.

BEST REPORTS DELIVERED AT CONFERENCES ABROAD

R. Krasauskas, S. Zubė, Rational Offsets of Regular Quadrics Revisited, International Geometry Summit 2019, June 17–21, 2019, Vancouver, Canada.

T. Raila, T. Meškauskas, G. Valinčius, M. Jankunec, T. Penkauskas, Computer modeling of electrochemical impedance spectra for defected phospholipid membranes: finite element analysis, The 3rd International Conference NUMTA 2019, June 15–21, 2019, Crotone, Italy.

A. Brilingaitė, L. Bukauskas, E. Kutka, Detection of premeditated security vulnerabilities in mobile applications, The 18th European conference on Cyber Warfare and Security ECCWS 2019, July 4–5, 2019, University of Coimbra, Portugal.

A. V. Misiukas Misiūnas, T. Meškauskas, R. Samaitienė, Machine learning based EEG classification by diagnosis: Approach to EEG morphological feature extraction, The 11th International Conference AMiTaNS’19, June 20–25, 2019, Albena, Bulgaria.

R. Krasauskas, S. Zubė, Rational Parametrizations of Darboux Cyclides and Their Kinematic Interpretation, the Conference on Geometry: Theory and Applications, June 3–7, 2019, University of Innsbruck, Austria.

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

Dr. L. Bukauskas science popularisation video series „Smalsumo genas: ar žinote, kad jūsų kompiuteris gali būti paverstas zombiu, puolančiu kitus?” (The Curiosity Gene. Do you know that your computer can be turned into a zombie attacking others?), 2019.
https://www.lrt.lt/mediateka/irasas/2000082010/smalsumo-genas-ar-zinote-kad-jusu-kompiuteris-gali-buti-paverstas-zombiu-puolanciu-kitus

E. Kutka and Dr. L. Bukauskas (mentioned) in the article “Kibernetinio saugumo specialistus ruoš ir universitete” (Cyber security professionals are also trained at the University), 2019.
https://www.lrt.lt/naujienos/mokslas-ir-it/11/1117449/kibernetinio-saugumo-specialistus-ruos-ir-universitete

Dr. L. Bukauskas (mentioned) in the article “Karo akademijos kariūnai praktiškai mokėsi valdyti ir tirti kibernetinius incidentus” (Military Academy cadets were practically training to manage and investigate cyber incidents), 2019
http://www.lka.lt/lt/apie-mus/naujienos/naujienu-archyvas-2019/karo-akademijos-kariunai-mhwf.html

Dr. L. Bukauskas (mentioned) in the article “Paradoksas: aukštos kompetencijos technologijų ekspertų reikia, bet laiko mokslams neduodame” (Paradox: highly skilled technology experts are needed, but we do not give time for studies), 2019.
https://www.lrt.lt/naujienos/mokslas-ir-it/11/1059002/paradoksas-aukstos-kompetencijos-technologiju-ekspertu-reikia-bet-laiko-mokslams-neduodame

Dr. P. Kasparaitis participated in Vilnius innovation forum INNOVATION DRIFT 2019, June 13–14, 2019.

DEPARTMENT OF SOFTWARE ENGINEERING

47 Didlaukio, LT-08303 Vilnius
Tel. 219 5040
E-mail:

Head – Dr. Karolis Petrauskas

STAFF

Professors: Dr. R. Baronas.
Partnership professors: Dr. V. Ašeris (part-time), Dr. G. Alzbutas (part-time), Dr. A. Glemža (part-time), Dr. E. Pakalnickienė (part-time), Dr. D. Sauliūnas (part-time), Dr. G. Slivinskas (part-time), Dr. A. Šermokas (part-time).
Associate professors: Dr. V. Čyras, Dr. S. Dapkūnas, Dr. K. Lapin, Dr. K. Petrauskas, Dr. S. Ragaišis.
Associate partnership professors: A. Adamonis (part-time), V. Golubevas (part-time), V. Jusevičius (part-time), V. Pozdniakov (part-time), D. Saltanavičius (part-time), Dr. D. Sauliūnas (part-time).
Assistants: Dr. Ž. Ledas (part-time), Dr. S. Peldžius (part-time), Dr. T. Plankis, Dr. R. Savukynas (part-time), Dr. V. Valaitis.
Junior Assistants: O. Mirzianov, L. Petkevičius.
Lecturers: B. Dapkūnas (part-time), A. Gimbutas (part-time), S. Girdzijauskaite (part-time), Z. Ivanec (part-time), D. Kimutis (part-time), L. Povilavičiūtė (part-time), J. Ragaišis (part-time), G. Rimša (part-time), A. Šimkus (part-time), T. Tumasonis (part-time), K. Uosis (part-time).
Doctoral students: O. Mirzianov, L. Petkevičius.

RESEARCH INTERESTS

Software process modelling, assessment and improvement
Interoperability of electronic documents
Analysis of NGS (new generation sequencing) data: development of new tools for analysis of human RNA-seq and metagenome data
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 2019

Projects Supported by University Budget

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

Computational model for the self-organization of E. coli cells and microreactors.
Formal specification for the feature configuration problem was developed.
Consensus algorithm was investigated considering unreliable communication media.
Formalization and visualization of legal.

Main publications:

Ledas, Z., Simkus, R., Baronas, R. Computational modeling of self-organization of bacterial population consisting of subpopulations of active and passive cells. Journal of Biological Systems. 2019, 27(3): 365–381. doi: 10.1142/S0218339019500153.

Sulcius, S., Simoliunas, E., Alzbutas, G., Gasiunas, G., Jauniskis, V., Kuznecova, J., Miettinen, S., Nilsson, E., Meskys, R., Roine, E., Paskauskas, R., Holmfeldt, K. Genomic characterization of cyanophage vB_AphaS-CL131 infecting filamentous diazotrophic cyanobacterium aphanizomenon flos-aquae reveals novel insights into virus-bacterium interactions. Applied and Environmental Microbiology. 2019. 85(1), doi: 10.1128/AEM.01311-18.

V. Čyras, F. Lachmayer. Dual textuality of law. In: E. Schweighofer, F. Kummer, A. Saarenpää (eds.) Internet of Things: Proceedings of the 22nd International Legal Informatics Symposium IRIS 2019, 21–23 February 2019, Salzburg, pp. 461–464, Editions Weblaw, Bern. Also in eJournal Jusletter IT, 21 February 2019, https://jusletter-it.weblaw.ch/issues/2019/IRIS/dual-textuality-of-l_86b90aefea.html.

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.

Main publications:

Zilinskas, A., Baronas, R., Litvinas, L., Petkevicius, L. Multi-objective optimization and decision visualization of batch stirred tank reactor based on spherical catalyst particles. Nonlinear Analysis-Modelling and Control. 2019. 24(6): 1019–1033, doi: 10.15388/NA.2019.6.10.

Baronas, R., Kulys, J., Petkevicius, L. Computational modeling of batch stirred tank reactor based on spherical catalyst particles. Journal of Mathematical Chemistry. 2019. 5(1) 327–342, doi: 10.1007/s10910-018-0954-x.

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.

Contractual Research

Creation of the Centre for Analysis, Modeling and Risk Management Competencies, (i.MAMC). 2016–2019. T. Plankis.

The goal of the project is to improve tax administration, implement an advanced tax administration system, and strengthen the analytical skills of the State Tax Inspectorate.

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 –

DEPARTMENT OF COMPUTER SCIENCE

47 Didlaukio, LT- 08303 Vilnius
Tel. 219 50 14
E-mail:

Head- Prof. Dr. Rimantas Vaicekauskas

STAFF

Professors: Dr. R. Vaicekauskas, Dr. L. Laibinis (part-time), Dr. A. Raudys (part-time).
Research fellow: Dr. L. Laibinis (part-time).
Associate professor: Dr. A. Mitašiūnas,
Senior research fellow: Habil. Dr. Š. Raudys.
Assistants: Dr. J. Andrikonis, Dr. A. Birštunas, Dr. V. Dičiūnas, Dr. H. Giedra (part time), Dr. L. Litvinas, Dr. I. Mitašiūnaitė-Besson, Dr. G. Skersys.
Junior assistant: Dr. A. Šaikūnas (part-time).
Lecturers: Dr. D. Baronas, Dr. R. Dzindzalieta (part-time), A. Grevys (part-time), S. Grigaitis (part- time), M. Grubliauskis (part- time), A. Janeliūnas (part-time), Dr. R. Kybartas (part-time), V. Kiško (part-time), R. Masiulis (part-time), K. Mizara (part-time), M. Plukas (part-time), I. Radavičius, L. Ričkus (part-time), Dr. G. Zlatkus (part-time).

RESEARCH INTERESTS

Automated formal modelling and verification of distributed software-based systems
Quantitative assessment of complex computer-based systems
Process capability modelling, assessment and improvement
Qualified electronic signature and applications
Colour rendering and its applications
Computational modelling and optimisation of biosensors
Computational intelligence and machine learning
Financial data analysis using computational intelligence methods
Temporal and modal logics
Neural networks, pattern recognition
Error-correcting codes
Cloud computing

RESEARCH PROJECTS CARRIED OUT IN 2019

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. As a result, a novel validation approach based on statistical testing of automatically generated verification conditions against pre-validated data sets was developed. The proposed approach is currently being integrated within a large-scale industry-based project for verification of railway signalling in UK.

A cut-free Gentzen type sequent calculus for PLTL with the operator “until” is developed.

Developed an algorithm for non-convex optimization implementing ideas of Bayesian approach to global optimization. The proposed algorithm is a generalization of the modification of the P-algorithm aimed at non-convex single-objective optimization problems.

Application of decision tree models and neural networks for financial data revealed that both methods perform equally good but combination of methods can add additional value to the results.

Developed and tested the new approach to the solution of cross-border electronic documents interoperability based on multi-specimens

Main publications:

Plikynas, D., Sakalauskas, L., Raudys, A. 2019. Conceptual modelling ofbrain state dynamics as free energy and entropy-based processes. Informatica. 2019, 30.4: 749–780.

Alonderis, R., Giedra, H. A derivation-loop method for temporal logic. Lietuvos matematikos rinkinys. 2019, 60: 1–6. doi: 10.15388/LMR.A.2019.14953.

Blažiūnas, S., Raudys, A. 2019. Comparative study of neural networks and decision trees for application in trading financial futures. 2019 International Conference on Deep Learning and Machine Learning in Emerging Applications (Deep-ML). IEEE, 2019.

National Research Projects

Operational Programme for the European Union Fund Investments in 2014–2020: R&D Measures “Cross Border Electronic Documents”, No J05-LVPA-K03-0145.

Projects initiated by scientists: scientific group project Investigation of Traditional Logic of Modalities Using Modern Logic Theories and Information Technology, No P-MIP-19-51.

Projects initiated by scientists: scientific group Innovative methods of stochastic global optimization, No P-MIP-17-97.

Bayesian approach rooted algorithm oriented to the properties of multi-objective optimization problems was developed. The performance of the algorithm is compared with several other multi-objective optimization algorithms. The approach is applied to the multi-objective optimization of a batch stirred tank reactor based on spherical catalyst microreactors.

Main publication:

Žilinskas, A., Baronas, R., Litvinas, L., Petkevičius, L. Multi-objective optimization and decision visualization of batch stirred tank reactor based on spherical catalyst particles. Nonlinear Analysis: Modelling and Control. 2019, 24(6): 1019–1033, doi: 10.15388/NA.2019.6.10.

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
University of Bremen (Germany)‎
Jawaharlal Nehru University, New Delhi (India)
Nanjing University (China)

OTHER SCIENTIFIC ACTIVITIES

Prof. Habil. Dr. Š. Raudys–

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).

Assoc. Prof. A. Mitašiūnas –

  • editorial advisory board member of the international Journal of Applied Science and Engineering, http://www2.tku.edu.tw/~tkjse/;
  • co-chair of advisory board member of international working group Enterprise SPICE on software process assessment and improvement.

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). 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.

Assoc. Prof. A. Mitašiūnas –

  • the member of electronic documents management commission of the Office of Chief Archivist of the Republic of Lithuania;
  • co-chair of Advisory Board of International initiative Enterprise SPICE for enterprise-wide process capability improvement with involvement of 160 experts from 45 countries and all continents

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.

 

INSTITUTE OF MATHEMATICS

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

Director – Prof. Dr. Jonas Šiaulys

STAFF

Professors: Dr. G. Bakštys (Partnership), Dr. P. Drungilas, Dr. R. Garunkštis (part-time), Dr. A. Linartas (Partnership), Habil. Dr. V. Mackevičius, Habil. Dr. E. Manstavičius (emeritus), Habil. Dr. V. Paulauskas (emeritus), Dr. G. Stepanauskas, Dr. J. Šiaulys.
Associate professors: Dr. A. Elijio, Dr. E. Gaigalas, Dr. A. Grigutis, Dr. R. Kašuba, Dr. M. Manstavičius, Dr. E. Mazėtis.
Chief research fellows: Dr. R. Garunkštis (part-time), Habil. Dr. A. Dubickas, Habil. Dr. A. Laurinčikas.
Assistants: Dr. A. Balčiūnas, Dr. J. Damarackas, Dr. E. Globienė, Dr. E. Jaunė, Dr. E. Karikovas, Dr. A. Lenkšas, Dr. A. Novikas, Dr. D. Puplinskaitė, Dr. A. Skučaitė, Dr. V. Stepas, Dr. R. Šimėnas, Dr. R. Tamošiūnas (part-time), Dr. A. Zinevičius.
Junior assistants: G. Bagdonas, E. Gutauskaitė, V. Jurgelevičius, L. Kaziulytė.
Lecturers: Š. Dirmeikis, Dr. A. Kačėnas (part-time), I. Mikulėnas (part-time).
Affiliate associate professors: Dr. R. Kudžma, Dr. G. Misevičius.
Doctoral students: G. Bagdonas, M. Burbulevičius, V. Franckevič, N. Denisenko, E. Gutauskaitė, R. Gylys, G. Junevičius, V. Jurgelevičius, G. Lileika, L. Kaziulytė, B. Kazlauskaitė, T. Kuras, A. Mincevič, G. Mongirdaitė, T. Panavas, S. Paukštys, J. Petuškinaitė, J. Sprindys, M. Stoncelis, A. Šmergelytė, P. Tarasov, G. Vadeikis, A. Vaiginytė, G. Ziezys.

DEPARTMENTS OF THE INSTITUTE

Department of Mathematical Analysis
Department of Probability Theory and Number Theory
Group of Analytic Number Theory
Mathematical Methodology Center reorganized into
Centre for Mathematics Education (since September 2019)

RESEARCH AREAS

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

BEST REPORTS DELIVERED AT CONFERENCES ABROAD

A. Laurinčikas. Universality of the Riemann zeta-function in short intervals. XVII international conference Algebra, Number Theory and Discrete Geometry: Urgent Problems and Applications, Tula, 2019, 15–17.

A. Dubickas. Distribution of fractional parts of powers of rational numbers, 31st Journees Arithmetiques 2019, Istanbul, Turkey, July 1–5, 2019.

A. Dubickas. On multiplicative dependence of the translations of algebraic numbers, Transcendence and Diophantine Problems, Conference in memory of Professor Naum Ilyitch Feldman (1918–1994), 2019, Moscow, Russia, June 10–14, 2019.

M. Manstavičius and G. Bagdonas, Some transformations of bivariate independence copula, 12th International Conference of the ERCIM WG on Computational and Methodological Statistics (CMStatistics 2019), University of London, UK, December 14–16, 2019.

M. Manstavičius and G. Bagdonas, Certain transformations of bivariate independence copula, Statistical Inference and Algebraic Structures, Tartu, July 1–2, 2019.

MAIN SCIENTIFIC ACHIEVEMENTS IN 2019

A result towards Mahler’s conjecture on the powers of a rational number has been obtained.
The asymptotic formula is obtained for tails of higher order moments of sums with heavy tailed dependent summands.
Particular transformations of bivariate copulas were completely characterized in terms of the defining functions, unifying many known examples.
A joint discrete universality theorem for collections consisting from the Riemann zeta-function and periodic Hurwitz zeta-functions was obtained.

DEPARTMENT OF MATHEMATICAL ANALYSIS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3085
E-mail

Head – Prof. Dr. Jonas Šiaulys

STAFF

Professors: Dr. G. Bakštys (Partnership), Dr. A. Linartas (Partnership), Habil. Dr. V. Mackevičius, Habil. Dr. V. Paulauskas (Emeritus), Dr. G. Stepanauskas, Dr. J. Šiaulys.
Associate professor: Dr. M. Manstavičius.
Assistants: Dr. J. Damarackas, Dr. E. Globienė, Dr. E. Jaunė, Dr. A. Lenkšas, Dr. D. Puplinskaitė, Dr. A. Skučaitė.
Junior assistants: G. Bagdonas, E. Gutauskaitė, V. Jurgelevičius.
Lecturers: Š. Dirmeikis, I. Mikulėnas (part-time).
Affiliate 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 2019

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 asymptotic formulas are derived for higher-order moments of the truncated sums with heavy tailed dependent summands. Sufficient conditions are found under which randomly stopped sums, randomly stopped maximums and randomly stopped maximums of sums are distributed according to the exponential-type laws.
First-order weak approximations by discrete random variables for CKLS and CEV processes are constructed and rigorous proofs of the first order are obtained.
Particular transformations of bivariate copulas were completely characterized in terms of the defining functions, unifying many known examples. A particular subfamily, obtained by transforming the bivariate independence copula, was completely characterized, establishing the fundamental importance of certain convexity properties of functions.

Main publications:

Ragulina, O., Šiaulys, J. Randomly stopped minima and maxima with exponential-type distributions. Nonlinear Analysis: Modelling and Control. 2019, 24(2): 279–313.

Leipus, R., Šiaulys, J., Vareikaitė, I. Tails of higher-order moments with dominatedly varying summands. Lithuanian Mathematical Journal. 2019, 59(3): 389–407.

Manstavičius, M., Bagdonas, G. A class of bivariate copula mappings. Fuzzy Sets and Systems. January 2019, 354(1): 48–62, https://doi.org/10.1016/j.fss.2018.05.001.

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 is derived for calculating the values of ruin probability for the bi-seasonal discrete time risk model with dependent claims. The calibration of the standard Solvency II formula is proposed.

Main publications:

Navickienė, O., Sprindys, J., Šiaulys, J. Ruin probability for the bi-seasonal discrete time risk model with dependent claims. Modern Stochastics – Theory and Applications. 2019, 6(1): 133–144.

Gylys, R., Šiaulys, J. Revisiting of the Solvency II standard formula for mortality risk: does the standard stress scenario provide an adequate approximation of Value-at-Risk? Risks. 2019, 7(2): 58.

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 –

DEPARTMENT OF PROBABILITY THEORY AND NUMBER THEORY

24 Naugarduko, LT–03225 Vilnius
Tel. 219 3059
E-mail:

Head – Prof. Habil. Dr. Artūras Dubickas

STAFF

Professors: Dr. P. Drungilas, Habil. Dr. E. Manstavičius (emeritus).
Associate professor: Dr. R. Kašuba, Dr. E. Mazėtis.
Chief research fellows: Habil. Dr. A. Dubickas, Habil. Dr. A. Laurinčikas.
Assistants: Dr. A. Balčiūnas, Dr. A. Novikas, Dr. V. Stepas, Dr. A. Zinevičius.
Lecturer: Dr. A. Kačėnas (part-time).
Affiliate associate professor: Dr. G. Misevičius.

RESEARCH INTERESTS

Algebraic number theory
Analytic number theory
Combinatorics
Probabilistic number theory

RESEARCH PROJECTS CARRIED OUT IN 2019

Projects Supported by University Budget

Problems of Number Theory and Investigation of Roots of Polynomials. Prof. A. Dubickas, Prof. A. Laurinčikas, Prof. E. Manstavičius. 2019–2023.

Joint discrete universality theorems for periodic and periodic Hurwitz zeta-functions were obtained. Approximation theorems for the Lerch zeta-function with algebraic rational parameter were proved.
It was proved that the elements of the sequence of fractional parts of the product of a given nonzero algebraic number multiplied by the powers of a rational number cannot all lie in a small interval.
The classification of compositum-feasible triplets was extended for algebraic numbers of degree 8 and 9.
New results were obtained concerning the size of the Lerch zeta-function at places symmetric with respect to the line Re(s)=1/2. The second moment of the Beurling zeta-function at σ=1 was obtained.

Main publications:

Laurinčikas, A. Joint discrete universality for periodic zeta-functions. Quaestiones Mathematicae. 2019, 42(5): 687–699.

Laurinčikas, A. "Almost" universality of the Lerch zeta-function. Mathematical Communications. 2019, 24(1): 107–118.

Drungilas, P., Dubickas, A. Multiplicative dependence of two integers shifted by a root of unity. Proceedings of the American Mathematical Society. 2019, 147(2): 505–511.

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.

A new bound on the number of multivariate reducible polynomial in terms of their degree and height was obtained. Multiplicative independence of certain families of algebraic numbers was obtained.

Main publications:

Dubickas, A. Bounding univariate and multivariate reducible polynomials with restricted height. Periodica Mathematica Hungarica. 2019, 78(1): 98–109.

Drungilas, P., Dubickas, A. Multiplicative dependence of two integers shifted by a root of unity. Proceedings of the American Mathematical Society. 2019, 147(2): 505–511.

Drungilas, P., Maciulevičius, L. A degree problem for the compositum of two number fields. Lith. Math. J. 2019, 59(1): 39–47.

International Research Projects

European Social Fund. Approximations by Zeta-Functions and Algebraic Numbers (No. 09.3.3-LMT-K-712-01-0037). Prof. Habil. Dr. A. Laurinčikas. 2017–2021.

Joint discrete universality theorem involving the imaginary parts of non-trivial zeros of the Riemann zeta-function for the Riemann and Hurwitz zeta-functions were obtained. Universatity theorems for the Riemann zeta-function in short intervals wre proved.
A new bound on cardinality of a sumset of a sparse set of integers with itself was obtained. It has an application to the problem of distribution of digits of an irrational square root.
The uniform distribution modulo one of the nontrivial a-points of the Selberg zeta-function attached to a finite volume Riemann surface was proved.

Main publications:

Laurinčikas, A. Non-trivial zeros of the Riemann zeta-function and joint universality theorems. Journal of Mathematical Analysis and Applications. 2019, 475(1): 385–402.

Laurinčikas, A. Universality of the Riemann zeta-function in short intervals. Journal of Number Theory. 2019, 204: 279–295.

Dubickas, A. On the size of a restricted sumset with application to the binary expansion of $\sqrt{d}$. Applicable Analysis and Discrete Mathematics. 2019, 13(2): 346–360.

European Social Fund. Study of the Properties of Zeta-Functions (No. 09.3.3-LMT-K-712-02-0088) Prof. Habil. Dr. A. Laurinčikas (advisor), R. Šimėnas (postdoctoral student). 2017–2021.

An estimate for the number of zeros of the derivative of the Selberg zeta-function attached to a finite Riemann surface as well as the estimate of such zeros left of the critical line was obtained. In addition, we obtained a Riemann-von Mangoldt type formula for the zeros of the higher order derivatives of the functions belonging to the extended Selberg class.

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)
Montanuniversität Leoben (Austria)

OTHER RESEARCH ACTIVITIES

Prof. A. Dubickas –

Prof. A. Laurinčikas –

Prof. E. Manstavičius (emeritus) –

GROUP OF ANALYTIC NUMBER THEORY

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.
Chief research fellow: Dr. R. Garunkštis (part-time).
Assistants: Dr. E. Karikovas. Dr. R. Šimėnas, Dr. R. Tamošiūnas (part-time).
Junior assistant: L. Kaziulytė.

RESEARCH INTERESTS

Zeta functions
Multiplicative structures
Diophantine approximations

OTHER RESEARCH ACTIVITIES

Prof. R. Garunkštis –

MATHEMATICAL METODOLOGY CENTER reorganized into
THE CENTRE FOR MATHEMATICS EDUCATION (since September 2019)

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3075
E-mail:

Head – Assoc. Prof. Dr. Edmundas Mazėtis (till September 1st)
Prof. Dr. Rimas Norvaiša (since September 1st)

STAFF

Professors: Habil. Dr. A Dubickas, Dr. P. Drungilas, Dr. R. Norvaiša.
Associate professors: Dr. A. Elijio, Dr. R. Kašuba, Dr. E. Mazėtis.
Assistant: Dr. A. Novikas.
Affiliate associate professor: Dr. R. Kudžma.

RESEARCH INTERESTS

Research of paradigms, prevailing in mathematics and informatics (IT) teaching in secondary school and university
Research of mathematical problems and mathematical models
Development of working methods with children gifted in mathematics and informatics

RESEARCH PROJECTS CARRIED OUT IN 2019

Projects Supported by University Budget

Analysis of Mathematics and Informatics (IT) Teaching Methods and Applications. Prof. V. Dagienė. 2014–2019.
Positive psychological consequences of effective moments in problem solving and posing as well as their influence to the human creativity have been analysed.
Research on the development of pupils’ basic mathematical abilities, the use of non-standard problems in mathematics lessons

Main publications:

Kašuba, R., Mazėtis, E. Apie lengvus pafilosofavimus sprendžiant dar lengvesnius neblogus geometrijos uždavinius. Liet. matem. rink. Proceeding LMS, Ser. B. 2019, 60: 20–27.

Mazėtis, E., Melničenko, G. Racionalieji kuboidai ir Herono trikampiai II. Liet. matem. rink. Proceeding LMS, Ser. B. 2019, 60: 34–38.

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

Tartu University (Estonia)
Sankt-Petersburg State University (Russia)
King’s College of London University (UK)
Watt-Herriot University of Edinbourgh (UK)
Limerick University (Ireland)
University of Novy Sad (Serbia)
University of Sarajevo (Bosnia&Herzogovina).

OTHER RESEARCH ACTIVITIES

Prof. A. Dubickas –

Assoc. Prof. R. Kašuba –

Affiliate 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 –

Dr. A. Novikas –

Assoc. Prof. A. Elijio –

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

  • International Actuarial Association, http://www.aktuaries.org/: Dr. A. Skučaitė is co-vice chairperson of Social Security Committee and member of Health Section Board.
  • 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

  • The Team Olimpiad for Schoolboys to Win Jonas Kubilius’ Cup, http://mif.vu.lt/matematikos-olimpiados/lkmmo/: Dr. M. Manstavičius, Prof. V. Mackevičius, Prof. J. Šiaulys, doctoral student G Lileika, Assoc. Prof. R. Kašuba, Asist. A. Novikas, Assoc. Prof. E.Mazėtis.
  • 8th Meeting of Lithuanian Young Mathematicians, http://lmd.mif.vu.lt: Prof. P. Drungilas, Prof. J Šiaulys, Dr. M. Manstavičius, Dr. A. Grigutis, Dr. E. Jaunė, doctoral students J. Sprindys, G. Bagdonas and V. Jurgelevičius.
  • One-day seminar on Social security, organized jointly by International Actuarial Association (IAA), World Bank and International Monetary Fund. Washington CD, May 2019. Dr. A. Skučaitė participated on behalf of IAA.
  • Social Security Forum, organized jointly by International Actuarial Association (IAA), International Labour Organization and International Social Security Association. Geneva, Switzerland, October 2019. Dr. A. Skučaitė participated on behalf of IAA.
  • Semi-annual meeting of Social Security Committee at International Actuarial Association. Tokyo, Japan. November 2019. Dr. A. Skučaitė gave an update on ongoing projects and developments in social security systems in Lithuania.
  • Open lecture “Pension Reform in Lithuania: The last One?” Part of project “VU-440”. Dr. A. Skučaitė, lecturer I. Mikulėnas. About 30 participants.

 

INSTITUTE OF APPLIED MATHEMATICS

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

Director – Prof. Habil. Dr. Remigijus Leipus

STAFF

Professors: Dr. A. Ambrazevičius, Habil. Dr. V. Bagdonavičius, Habil. Dr. V. Čekanavičius, Dr. P. Katauskis, Habil. Dr. D. Surgailis (emeritus), Dr. O. Štikonienė, Dr. V. Kazakevičius, Habil. Dr. R. Leipus, Habil. Dr. R. Norvaiša (part-time), Habil. Dr. K. Pileckas, Habil. Dr. A. Račkauskas, Habil. Dr. M. Radavičius (part-time).
Research fellows: Dr. K. Karčiauskas, Dr. R. Norvaiša (part-time), Habil. Dr. K. Pileckas, Dr. A. Štikonas, Dr. R. Vidunas (part-time).
Associate professors: Dr. R. Eidukevičius, Dr. K. Kaulakytė, Dr. A. Kregždė, Dr. R. Levulienė, T. Marčiulaitis (Partnership), Dr. J. Markevičiūtė, Dr. G. Murauskas, Dr. G. Puriuškis, Dr.V. Skorniakov, Dr. R. Vidunas (part-time).
Assistants: Dr. D. Celov, Dr. E. Karikovas, Dr. A. Kavaliauskas, Dr. G. Paukštaitė, Dr. A. Račienė, Dr. Š. Repšys, Dr. V. Zemlys-Balevičius.
Junior assistant: K. Bingelė, A. Buteikis, J. Gudan, N. Kozulinas, A. Medžiūnas, V. Šumskas.
Lecturer: V. Maniušis.
Affiliate professor: Dr. V. Skakauskas.
Doctoral students: K. Bartkus, K. Bingelė, A. Birbilas, A. Buteikis, A. Eismontaitė, T. Danielius, J. Gudan, J. Jarutis, S. Jokubaitis, R. Juodagalvytė, I. Kilienė, N. Kozulinas, V. Miežys, G. Liaudanskaitė, S. Staskevičiūtė, 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, insurance mathematics

MAIN CONFERENCES ORGANIZED IN 2019

R. Leipus: chairman of the programme committee of the 60th Conference of the Lithuanian Mathematical Society, June 19–20, 2019, General Jonas Žemaitis Military Academy of Lithuania, Vilnius.

BEST REPORTS DELIVERED AT CONFERENCES ABROAD

Buteikis A., Leipus R. An integer-valued autoregressive process for seasonality. 13th International Conference on Computational and Financial Econometrics (CFE 2017) and 12th International Conference of the ERCIM (European Research Consortium for Informatics and Mathematics) Working Group on Computational and Methodological Statistics (CMStatistics 2019), University of London (UK), 14–16 December, 2019.

DEPARTMENT OF DIFFERENTIAL EQUATIONS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3098
E-mail:

Head - Prof. Habil. Dr. Konstantinas Pileckas

STAFF

Professors: Dr. A. Ambrazevičius, Dr. P. Katauskis, Dr. O. Štikonienė, Habil. Dr. K. Pileckas.
Research fellows: Habil. Dr. K. Pileckas (part-time), Dr. A. Štikonas, Dr. R. Vidunas.
Associate professors: Dr. K. Kaulakytė, Dr. A. Kregždė, Dr. G. Puriuškis, Dr. R. Vidunas.
Assistants: Dr. E. Karikovas, Dr. A. Kavaliauskas, Dr. G. Paukštaitė, Dr. A. Račienė, Dr. Š. Repšys.
Junior assistant: K. Bingelė, N. Kozulinas, V. Šumskas.
Affiliate professor: Dr. V. Skakauskas.

RESEARCH INTERESTS

Investigation of differential equations
Integrodifferential and nonlocal equations
Numerical methods

RESEARCH PROJECTS CARRIED OUT IN 2019

Projects Supported by University Budget

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

The long-term potentiation, when a short-term increase in neural activity is transformed into a long-lasting increase in strengths of synaptic connectivity, was modeled. The role of interactions in a chain of biochemical reactions with a positive feedback on the bistable behavior was investigated numerically. Kinetics of the glucose oxidation catalysed with immobilized enzyme and redox reactions that compete for dissolved oxygen was studied numerically using a mean-field model.

Main publications:

Katauskis, P., Ivanauskas, F., Alaburda, A. The “memory” effect in a chain of biochemical reactions with a positive feedback is enhanced by substrate saturation described by Michaelis–Menten kinetics. Bulletin of Mathematical Biology. 2019, 81(3): 919–935.

Bingelė, K., Bankauskienė, A., Štikonas, A. Spectrum curves for a discrete Sturm–Liouville problem with one integral boundary condition. Nonlinear Anal. Model. Control. 2019, 24(5): 755–774.

Sapagovas, M., Štikonienė, O., Jakubelienė, K., Čiupaila, R. Finite difference method for boundary value problem for nonlinear elliptic equation with nonlocal conditions. Bound. Value Probl. 2019, 94.1–19.

National Research Projects

Research Council of Lithuania. Differential Equations with Non-Classical Boundary Conditions (No S-MIP-17-65). Prof. P. Katauskis. 2017−2020.
A model for competing redox and glucose oxidation with dissolved oxygen reactions was proposed and studied numerically. A model of surface reactions between two polyatomic reactantsover homogeneous and composite catalysts is proposed and the existence, uniqueness, and long-time behavior of a classical solution are proved.

Main publication:

Skakauskas, V. Solvability of a nonlinear problem arising in reaction over inhomogeneous surfaces. Acta Mathematica Scientia. 2019, 39(5): 1380–1396.

Research Council of Lithuania. Navier-Stokes Equations under General Adherence Boundary Condition (No S-MIP-17-68). Prof. Konstantinas Pileckas. 2017−2020.

During the period of 2019, the boundary value problem to the stationary Navier-Stokes system was studied in two-dimensional exterior and cusp-type domains.

Main publications:

Kaulakytė, K., Klovienė, N., Pileckas, K. Nonhomogeneous Boundary Value Problem for the Stationary Navier-Stokes Equations in a Domain with a Cusp. Zeitschrift für angewandte Mathematik und Physik. 2019, 70: 36.

Korobkov, M.V., Pileckas, K., Russo, R. On Convergence of Arbitrary D-Solution of Steady Navier-Stokes System in 2D Exterior Domains. Archive for Rational Mechanics and Analysis. 2019, 233(1): 385–407.

Eismontaite, A., Pileckas, K. On singular solutions of the initial boundary value problem for the Stokes system in a power cusp domain. Applicable Analysis. 2019, 98(13): 2400–2422.

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 2019, the method of asymptotic partial decomposition of a domain proposed and justified for thin domains (rod structures, tube structures consisting of a set of thin cylinders) generates some special interface conditions between the three-dimensional and one-dimensional parts. Tests show good accuracy of the method.

Main publication:

Bertoglio, C., Conca, C., Nolte, D., Panasenko, G., Pileckas K. Junction of models of different dimension for flows in tube structures by Womersley-type interface conditions. Siam Journal on Applied Mathematics. 2019, 79(3): 959–985.

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

Zürich University, Zurich (Switzerland)
University of Saint Etienne, Saint Etienne (France)
Seconda Università degli Studi di Napoli, Caserta (Italy)
University of Kassel, Kassel (Germany)
University of Novosibirsk, Novosibirsk (Russia)

OTHER RESEARC 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. Habil. Dr. Vydas Čekanavičius

STAFF

Professors: Habil. Dr. V. Bagdonavičius, Habil. Dr. V. Čekanavičius, Habil. Dr. D. Surgailis (emeritus), Dr. V. Kazakevičius, Habil. Dr. R. Leipus, Habil. Dr. R. Norvaiša (part-time), Habil. Dr. A. Račkauskas, Habil. Dr. M. Radavičius (part-time).
Research fellow: Dr. R. Norvaiša (part-time).
Associate professors: Dr. R. Eidukevičius, Dr. R. Levulienė, T. Marčiulaitis (Partnership), Dr. J. Markevičiūtė, Dr. G. Murauskas, Dr.V. Skorniakov.
Assistants: Dr. D. Celov, Dr. V. Zemlys-Balevičius.
Junior assistant: A. Buteikis, J. Gudan.
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.
a) Rough functions analysis; b) Functional data analysis; c) Approximation of stochastic systems; d) Investigation of long memory processes.

Richter’s type 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.
A bivariate integer-valued autoregressive process of order 1 with copula-joint innovations was proposed. Different parameter estimation methods were analyzed and compared via Monte Carlo simulations. Empirical applications were provided.
Functional data analysis approach is applied to modeling and analyzing daily tax revenues.
Some asymptotic results for p-variation of random walk were obtained and applied to a change point problem.

Main publications:

Čekanavičius, V., Vellaisamy, P. On large deviations for sums of discrete m-dependent random variables. Stochastics: an International Journal of probability and Stochastic Processes. 2019, 91(8): 1092–1108.

Norvaiša R., Račkauskas, A. Uniform asymptotic normality of self-normalized weighted sums of random variables. Lithuanian Mathematical Journal. 2019, 59(4): 575–594.

Buteikis, A., Leipus, R. A copula-based bivariate integer-valued autoregressive process with application. Modern Stochastics: Theory and Applications. 2019, 6: 227–249.

Models of Mathematical Statistics, their Analysis and Applications. Prof. V. Bagdonavičius. 2015–2019.

New accelerated life testing models and their applications to statistical analysis of were proposed. New goodness-of-fit tests for survival regression models were proposed and their properties were investigated.

Main publication:

Bagdonavičius, V., Levulienė, R. On accelerated life testing when the AFT model fails. IEEE transactions on reliability. 2019, 68(4): 1311–1319.

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 self-normalized random walk and for weighted sums of short-memory linear processes.

Main publications:

Norvaiša, R., Račkauskas, A. Uniform asymptotic normality of weighted sums of short-memory linear processes. J. Applied Probability, arXiv.org. Sep 25, 2019.

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

University of Lille (France)
University of Nantes (France)
Hannover University (Germany)
Queen Mary University of London (U.K.)
Tilburg University (The Netherlands)
Karol Adamiecki University of Economics in Katowice (Poland)
Padova University (Italy)

OTHER RESEARCH ACTIVITIES

Prof. A. Račkauskas –

Prof. M. Radavičius –

Prof. V. Čekanavičius –

Prof. R. Leipus –

Prof. R. Norvaiša –

Prof. V. Bagdonavičius –

Prof. V. Kazakevičius –

  • member of the Lithuanian Mathematical Society.

Prof. M. Radavičius –

Assoc. Prof. R. Eidukevičius –

  • member of the Lithuanian Mathematical Society.

Assoc. Prof. R. Levulienė –

  • member of the Lithuanian Mathematical Society;
  • member of the Lithuanian Statistical Association.

Assoc. Prof. V. Skorniakov–

  • member of the Lithuanian Mathematical Society.

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

  • Prof. R. Leipus – member of the European Mathematical Society European Solidarity Committee.
  • Assoc. Prof. R. Levulienė – 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. OECD Education 2030. Mathematics Curriculum Document Aanalysis coding workshop. OECD, Paris, France, February 18–22, 2019.

CONSULTATIONS PROVIDED BY THE UNIT TO THE PUBLIC OR ECONOMIC ENTITIES

Prof. R. Norvaiša –

  • Lecture to members of the Seimas: implications of the education reform to school mathematics 2019 November 22.

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES

Prof. R. Norvaiša –

  • Radio show ,,Dešimt balų”: Lietuvos matematikos mokytojų konferencija ir programų atnaujinimas. January 3, 2019;
  • Radio show ,,Kultūros savaitė”: Apie tikėjimą ir kainą mūsų švietime. January 26, 2019;
  • An article ,,Žinios, pasiklydusios tarp kompetencijų, įgūdžių, gebėjimų ir vertybių” žurnale ,,Verslo klasė”. February 2019;
  • Lecture to schoolchildren ,,Skaičių biografijos akimirkos”, Vilniaus jėzuitų gimnazija. March 21, 2019.
  • Lecture to schoolchildren ,,Matematinis samprotavimas mokykloje: kas tai ir kam to reikia?” konferencijoje ,,Studijos ir mokslas Vilniaus universiteto matematikos ir informatikos fakultete” Palanga. April 5, 2019.
  • A radio show ,,Kultūros savaitė”: Pasaulis be universitetų. April 13, 2019.
  • Public lecture: Why learn mathematics? Humanistinio ugdymo konferencijoje ,,Minties ir jausmo jungtis visuminiame ugdyme” Vilnius, April 24, 2019.