Faculty of Mathematics and Informatics

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

Dean – Prof. Dr. Paulius Drungilas
 

STAFF

161 teachers (incl. 100 holding research degree), 62 research fellows (incl. 54 holding research degree), 77 doctoral students.

FACULTY OF MATHEMATICS AND INFORMATICS INCLUDES:

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

 

 

INSTITUTE OF DATA SCIENCE AND DIGITAL TECHNOLOGIES

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

DOCTORAL DISSERTATIONS MAINTAINED IN 2018

K. Paulauskienė. Massive data visualization based on dimensionality reduction and projection error evaluation.
A. Gimbutas. Nonconvex optimization algorithm with a new Bi-criteria selection of potential simplices using an estimate of Lipshitz constant.
V. Dolgopolovas. Software learning objects for scientific computing education: teaching scientific inquiry with recurrence based stochastic models.
V. Jakštys. Application of contour detection methods to lateral chromatic aberration reduction in eye fundus images and road surface defect detection.
J. Tichonov. Classification-based compression solutions of digital images.
M. J. Bilinskas. Development and application of a mathematical model to parametrization and registration of breast area computed tomography.

MAIN CONFERENCES ORGANIZED IN 2018

Workshop: STEM PD Net and IncluSMe
13th biennial international Baltic conference on Databases and Information Systems Baltic DB&IS 2018
International conference Constructionism 2018
10th international workshop Data Analysis Methods for Software Systems
9th international doctoral consortium Informatics Engineering Education Research

 

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.
Junior research fellow: L. Stripinis.
Doctoral students: V. Jusevičius, I. Meržvinskaitė, L. Stripinis, A. Adamonis, S. Grigaitis, J. Arsenjeva.

RESEARCH INTERESTS

Blockchain technologies
Global optimization
Multi-Objective optimization
High-performance computing artificial intelligence image
Processing big data

RESEARCH PROJECTS CARRIED OUT IN 2018

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 algorithm for global optimization based on a bisection of hyper-rectangles, a novel sampling on diagonals and a set of Lipschitz constants was developed.
New parallel versions of dominance ranking algorithms for multiobjective optimization were developed.

Main publications:

Paulavičius, R., Chiter, L., Žilinskas, J. 2018. Global optimization based on bisection of rectangles, function values at diagonals, and a set of Lipschitz constants. Journal of Global Optimization, vol. 71(1), p. 5–20, doi: 10.1007/s10898-016-0485-6.

Stripinis, L., Paulavičius, R., Žilinskas, J. 2018. Improved scheme for selection of potentially optimal hyper-rectangles in DIRECT. Optimization Letters, vol. 12, no 7, p. 1699–1712, doi: 10.1007/s11590-017-1228-4.

Moreno, J. J., Ortega, G., Filatovas, E., Martínez, J. A., Garzón, E. M. 2018. Improving the performance and energy of Non-Dominated Sorting for evolutionary multiobjective optimization on GPU/CPU platforms. Journal of Global Optimization, vol. 71(3), p. 631–649, doi: 10.1007/s10898-018-0669-3.

International Research Projects

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

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.

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

Imperial College London (UK)
Universidad de Almería (Spain)
Università della Calabria (Italy)
Systems Research Institute, Polish Academy of Sciences (Poland)

OTHER SCIENTIFIC ACTIVITIES

Dr. R. Paulavičius

  • affiliate member of European Network of Excellence on High Performance and Embedded Architecture and Compilation (HiPEAC), www.hipeac.net;
  • member of the American Institute of Chemical Engineers (AIChE), www.aiche.org;
  • member of The Mathematical Optimization Society (MOS), http://www.mathopt.org/;
  • member of Program/Scientific Committee of the 1st Workshop on Blockchain and Smart Contract Technologies (BSCT 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 Committee of the 1st Workshop on Blockchain and Smart Contract Technologies (BSCT 2018).

Dr. V. Medvedev

  • expert of FP7-ICT Committee (2013);
  • member of Lithuanian Computer Society, http://www.liks.lt/;
  • member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/;
  • member of SERVICE COMPUTATION 2014-2017 Technical Program Committee.

 

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 fellows: Prof. Habil. Dr. A. Garliauskas, Prof. Habil. Dr. J. Mockus.
Research fellows: Dr. J. Bernatavičienė, Dr. R. Karbauskaitė.
Junior research fellows: Dr. M. Sabaliauskas, D. Stumbrienė, J. Vaitiekaitis.
Specialists and engineering staff: V. Tiešis, Dr. L. Ringienė, L. Mikalauskienė, R. Savukynas.
Doctoral students: L. Ališauskas, A. Daranda, P. Gudžius, R. Jurevičius, M. Karaliutė, R. Puronaitė, R. Rybnikovė, G. Stabingis, M. Stankevičius, D. Stumbrienė, R. Toliušis, V. Bulavas.

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 2018

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 to solve the problems in economics, health care, medicine and chemical engineering.
Approximation of the ribs-bounded contour in a tomography scan slice has been developed and applied for feature-based registration of thorax CT scan slices.
The novel closed-form expression for the actual risk and the approximation of the expected risk associated with the linear classification of the Gaussian Markov Random Field observations are derived. Accuracy of the derived approximation is tested by using the simulated data.
Self-organizing map was applied for data mining in the artificial neural network-based decision support system for development of an energy-efficient built environment.
A heuristic approach to select the optimal configuration of the parallel MDS-type algorithm SMACOF on the available platforms in terms of energy efficiency has been proposed and investigated.
An automatic blood vessel classification algorithm, which is used for artery and vein width ratio measurements, is developed. Method is compared with other similar algorithms. The advantage of the developed algorithm among others is its ability to automatically adapt to image size, it is not dependent on eye fundus camera type and it reduces the influence of unevenly lighting of the image.

Main publications:

Bilinskas, M. J., Dzemyda, G., Trakymas, M. 2018. Approximation of the ribs-bounded contour in a tomography scan slice. International Journal of Information Technology & Decision Making. Singapore, vol. 17, no 1, p. 83–102, doi: 10.1142/S0219622017500298.

Dučinskas, K., Dreižienė, L. 2018. Risks of classification of the Gaussian Markov random field observations. Journal of Classification, vol. 35(3), p. 422–436, doi: 10.1007/s00357-018-9269-7.
Kaklauskas, A. Dzemyda, G., Tupėnaitė, L., Voitau, I., Kurasova, O., Naimavičienė, J., Rassokha, Y., Kanapeckienė, L. 2018. Artificial neural network-based decision support system for development of an energy-efficient built environment. Energies, vol. 11(8), p. 1–20, doi: 10.3390/en11081994.

Orts, F., Filatovas, E., Ortega, G., Kurasova, O., Garzon, E. M. 2018. Improving the energy efficiency of SMACOF for multidimensional scaling on modern architectures. Journal of Supercomputing, vol. 13, no 5, p. 853–864, doi: 10.1007/s11227-018-2285-x.

Stabingis, G., Bernatavičienė, J., Dzemyda, G. Paunksnis, A., Stabingienė, L., Treigys, P., Vaičaitienė, R. 2018. Adaptive eye fundus vessel classification for automatic artery and vein diameter ratio evaluation. Informatica, vol. 29, no 4, p. 757–771, doi: 10.15388/Informatica.2018.191.

National Research Projects

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, Research Council of Lithuania) 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.

Main publications:

Želvys, R., Dukynaitė, R., Vaitekaitis, J. 2018. Švietimo sistemų efektyvumas ir našumas kintančių švietimo paradigmų kontekste (Effectiveness and eficiency of educational systems in a context of shifting educational paradigms). Pedagogika, vol. 130, nr. 2, p. 32–45, doi: 10.15823/p.2018.20

Jakaitienė, A., Žilinskas, A., Stumbrienė, D. 2018. Analysis of education systems performance in European countries by means of PCA-DEA. Informatics in Education, vol. 17, nr. 2, p. 245–263, doi: 10.15388/infedu.2018.13

International Research Projects

COST action Big Data Era in Sky and Earth Observation TD1403. Member of Managing Committee Prof. Dr. O. Kurasova. 2014–2018, http://www.cost.eu/COST_Actions/TDP/Actions/TD1403.

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

COST action A new Network of European BioImage Analysts to advance life science imaging (NEUBIAS) CA15124 Member of Managing Committee Dr. P. Treigys. 2016–2020, http://www.cost.eu/COST_Actions/ca/CA15124.

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

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

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

OTHER SCIENTIFIC ACTIVITIES

Prof. Habil. Dr. G. Dzemyda

  • member of Lithuanian Academy of Sience, http://lma.lt;
  • member of programme committees of the international conferences on Psychological Computing Systems (PhyCS 2018), 4th international conference on Sensor Networks (SENSORNET 2018);
  • chairman of the 9th international workshop Data Analysis Methods for Software Systems, Druskininkai, Lithuania, 2018, http://www.mii.lt/DatAMSS/;
  • editor-in-chief of the 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;
  • board member of Transportation Science and Information Technologies in Ministry of Transport and Communications of the Republic of Lithuania;
  • board member of Military Science and Technologies in Ministry of National Defence of the Republic of Lithuania;
  • 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

Dr. J. Bernatavičienė

Dr. R. Karbauskaitė

V. Tiešis

 

CYBER-SOCIAL SYSTEMS ENGINEERING GROUP

Akademijos 4, 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

Chief research fellow: Prof. Dr. S. Gudas.
Senior research fellow: Prof. Dr. D. Dzemydienė.
Research fellows: Dr. R. Alonderis, Assoc. Prof. Dr. A. Lupeikienė, Dr. S. Maskeliūnas.
Junior research fellows: Dr. J. Miliauskaitė, Dr. H. Giedra.
Chief specialist: Prof. Dr. O. Vasilecas.
Assistant research fellow: L. Paliulionienė.
Afilliated professor: Prof. Dr. A. Čaplinskas.
Affiliated research fellows: Prof. Habil. Dr. S. Jukna, Assoc. Prof. Habil. Dr. R. Pliuškevičius, Assoc. Prof. Dr. A. Pliuškevičienė.
Doctoral students: A. Šaikūnas, A. Valatavičius, M. Jusis, R. Savukynas, E. Arbataitis, V. Radzevičius, A. Širaliov.

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 2018

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. Prof. Dr. S. Gudas (leader). 2018–2020.

A model-based software development method using deep knowledge modeling was proposed. For this, the integration of the traditional MDA / MDD process with causal modeling has been used. The modified MDA scheme includes a new layer of domain knowledge discovery and causal modeling frameworks. The method is adapted to evaluate the interoperability of applications.
A requirements specifications (UML Use Case Diagram) generation algorithm was designed, and a prototype using domain causal dependency models was developed.
Component architecture for the provision of semi-automatically generated electronic services is designed, based on the principles of BDI intelligent agents.
The multilayered architecture of secure identification and interaction of objects in the wireless environment was analysed and partial cases of risk analysis and protection measures were identified.
A sound and complete sequent calculus for the logic of likelihood was constructed. A proof-search system for the logic of likelihood was developed based on this calculus.

Main publications:

Valatavičius, A., Gudas, S. 2018. Measuring enterprise application software interoperability capability. Baltic DB&IS 2018: Joint proceedings of the conference forum and doctoral consortium co-located with the 13th international Baltic conference on Databases and Information Systems, Trakai, Lithuania, July 1–4, vol. 2158, p. 127–134, http://ceur-ws.org/Vol-2158/paper11.pdf.

Tekutov, J., Gudas, S., Denisov, V. 2018. The formation of requirements engineering processes based on a problem domain model. ICTIC: the 7th international virtual conference on Informatics and Management Sciences, April 2–7, Slovakia. Zilina, vol. 7(1), p. 93–97.

Miliauskas, A., Dzemydienė, D. 2018. An approach to designing belief-desire-intention based virtual agents for travel assistance. Baltic DB&IS 2018: Joint proceedings of the conference forum and doctoral consortium co-located with the 13th international Baltic conference on Databases and Information Systems, Trakai, Lithuania, July 1–4, vol. 2158, p. 94–103, http://ceur-ws.org/Vol-2158/paper10.pdf.

Savukynas, R., Dzemydienė, D. 2018. Security means in multilayered architecture of Internet of Things for secure communication and data transmission. Baltic DB&IS 2018: Joint proceedings of the conference forum and doctoral consortium co-located with the 13th international Baltic conference on Databases and Information Systems, Trakai, Lithuania, July 1–4, p. 127-134, http://ceur-ws.org/Vol-2158/paper13dc1.pdf.

Alonderis, R., Sakalauskaitė, J. 2018. A labelled sequent calculus for half-order modal logic. Journal of Applied Logics – IfCoLog Journal of Logics and Their Applications, vol. 5, no. 1, p. 121–163, http://www.collegepublications.co.uk/journals/ifcolog/?00021.

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)

OTHER SCIENTIFIC ACTIVITIES

Prof. Dr. S. Gudas

Prof. Dr. A. Čaplinskas

Prof. Dr. D. Dzemydienė

Assoc. Prof. Dr. A. Lupeikienė

Dr. S. Maskeliūnas

Dr. J. Miliauskaitė

L. Paliulionienė

Prof. Habil. Dr. S. Jukna

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

 

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.
Junior research fellows: Dr. E. Jasutė, G. Stupurienė, V. Dolgopolovas.
Doctoral students: A. Berniukevičius, V. Dvareckienė, V. Dolgopolovas, D. Gudonienė, I. Krikun, G. Stupurienė, O. Mirzianov, 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
Personalised learning
Software localisation
Technology enhanced learning

RESEARCH PROJECTS CARRIED OUT IN 2018

Projects supported by the Vilnius University Budget

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

Creation of engineering solutions for improving teaching and learning by implementing intelligent technologies; creation of personalised learning methods and activities as well as ontologies to teach and learn informatics engineering. Creation of personalised engineering solutions for mobile learning; creating of e-learning recommendations based on semantic web. Creation of 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 Informatics and Computational Thinking contest "Bebras".

Main publications:

Dolgopolovas, V., Dagienė, V., Jasutė, E., Jevsikova, T. 2018. Design science research for computational thinking in constructionist education: a pragmatistic perspective. Constructionism 2018: Constructionism, Computational Thinking and Educational Innovation. Conference proceedings, p. 180–192, http://www.constructionism2018.fsf.vu.lt/file/repository/Proceeding_2018_Constructionism.pdf.

Jevsikova, T., Dagienė, V., Dolgopolovas, V. 2018. On preferences of novice software engineering students: temperament style and attitudes towards programming activities. Informatics in Schools: Fundamentals of Computer Science and Software Engineering. 11th international conference on Informatics in Schools: Situation, Evolution, and Perspectives, ISSEP 2018, St. Petersburg, Russia, October 10–12. Proceedings, p. 101–113. (Lecture Notes in Computer Science, vol. 11169), doi: 10.1007/978-3-030-02750-6_8.

Dolgopolovas, V., Jevsikova, T., Dagienė, V. 2018. From Android games to coding in C-An approach to motivate novice engineering students to learn programming: a case study. Computer Applications in Engineering Education, vol. 26, no 1, p. 75–90, doi: 10.1002/cae.21862.

INTERNATIONAL RESEARCH PROJECTS

NordNICE: Nordplus Network of Innovative Computing Education (No. NPHZ 2015/1053), http://nordnice.wix.com/nordplus.

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

ETH Zurich (Switzerland)
KTH (Sweden)
Lancaster University (UK)
Nikon University (Japan)
Radboud University Nijmegen (The Netherlands)

OTHER SCIENTIFIC 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 of the journal Olympiads in Informatics (Scopus, etc);
  • 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;
  • 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);
  • expert of the Programme EUREKA Eurostars;
  • member of Steering Committee of International Olympiads in Informatics;
  • member of Joint Doctoral Committee of Education (Vytautas Magnus University; Vilnius University; Klaipėda University; Riomeris University; and Aveiro University), 2015–2019.

Assoc. Prof. Dr. J. Kurilov

Dr. T. Jevsikova

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

Dr. A. Juškevičienė

  • PostDoc: Algorithmic Thinking Enhancement by Modern Technologies in Basic Education, Lithuanian Research Council, 2017–2019 .

 

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.
Research fellow: Dr. A. Lančinskas.
Doctoral students: R. Kriauzienė, E. Zikarienė.

RESEARCH INTERESTS

Optimization and high-performance computing.

RESEARCH PROJECTS CARRIED OUT IN 2018

Projects Supported by University Budget

Global optimization. Prof. Dr. J. Žilinskas. 2017–2019.

The project aims at the development of global optimization algorithms and application of them to optimization problems.
The main results are: global optimization algorithms with rectangular subregions created;
heuristic algorithms for competitive facility location problems created.

Main publications:

Paulavičius, R., Chiter, L., Žilinskas, J. 2018. Global optimization based on bisection of rectangles, function values at diagonals, and a set of Lipschitz constants. Journal of Global Optimization, vol. 71(1), SI, p. 5–20, doi: 10.1007/s10898-016-0485-6.

Calvin, J., Gimbutienė, G., Phillips, W. O., Žilinskas, A. 2018. On convergence rate of a rectangular partition based global optimization algorithm. Journal of Global Optimization, vol. 71(1), SI, p. 165–191, doi: 10.1007/s10898-018-0636-z.

Fernandez, P., Pelegrin, B., Lančinskas, A., Žilinskas, J. 2018. The Huff versus the Pareto-Huff customer choice rules in a discrete competitive location model. Computational Science and Its Applications – ICCSA 2018: 18th international conference, Melbourne, VIC, Australia, July 2–5, proceedings, p. 583–592, (Lecture notes in computer science, vol. 10961), doi: 10.1007/978-3-319-95165-2_41.

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 will deal 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 the case of success, a ranking-based algorithm for solving combinatorial optimization problems using high-performance computing systems will be proposed and experimentally investigated. The proposed algorithm will allow solving complex combinatorial optimization problems encountered in various research and industry areas. The proposed principal solutions to create and parallelize the algorithm will contribute to further researches in development and parallelization of similar algorithms.

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 Network for Sustainable Ultrascale Computing (NESUS) IC1305. Member of Managing Committee Dr. A. Lančinskas. 2014–2018, http://www.cost.eu/COST_Actions/ict/Actions/IC1305.

Ultrascale systems are envisioned as large-scale complex systems joining parallel and distributed computing systems that will be two to three orders of magnitude larger that today's systems. The EU is already funding large scale computing systems research, but it is not coordinated across researchers, leading to duplications and inefficiencies. The goal of the NESUS Action is to establish an open European research network targeting sustainable solutions for ultrascale computing aiming at cross fertilization among HPC, large scale distributed systems, and big data management. The network will contribute to glue disparate researchers working across different areas and provide a meeting ground for researchers in these separate areas to exchange ideas, to identify synergies, and to pursue common activities in research topics such as sustainable software solutions (applications and system software stack), data management, energy efficiency, and resilience. Some of the most active research groups of the world in this area are members of this proposal. This Action will increase the value of these groups at the European-level by reducing duplication of efforts and providing a more holistic view to all researchers, it will promote the leadership of Europe, and it will increase their impact on science, economy, and society.

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

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

OTHER SCIENTIFIC 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 IC1305 Network for Sustainable Ultrascale Computing (NESUS);
  • member of management committee of COST action CA15140 Improving Applicability of Nature-Inspired Optimisation by Joining Theory and Practice (ImAppNIO).


IMAGE AND SIGNAL ANALYSIS GROUP

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

Head – Assoc. Prof. Dr. Povilas Treigys

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

RESEARCH INTERESTS

Audio and image signal processing; random processes analysis and recognition

RESEARCH PROJECTS CARRIED OUT IN 2018

Project Supported by University Budget

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

The tasks were to develop machine learning based algorithms for histological image cell segmentation and classification; to explore speech signal feature spaces and build model for spoken word classification. The main results were as follows: model for histological image cell segmentation and classification developed; audio signal feature spaces explored and classifier built; test bet for Lithuanian speech phoneme automated segmentation developed.

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. The main results were machine learning algorithms for tumour classification and feature space analysis for machine based recognition.

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 SCIENTIFIC 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

 

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.
Affiliated research fellows: Assoc. Prof. Dr. S. Steišiūnas, Prof. Habil. Dr. L.Sakalauskas.
Research fellow: Assoc. Prof. Dr. I. Belovas.
Junior research fellows: A. Miliauskas, V. Dulskis.
Specialists and engineering staff: Dr. G. Jakimauskas, Dr. V. Zubaitienė, R. Savukynas, P. Jurčys.
Doctoral students: D. Kavaliauskas, J. Kurilova, J. Vaičiulytė, L. Ališauskas, A. Jurgelevičius, R. Savukynas, M. Stankevičius, V. Dulskis, P. Vaitkevičius.

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 2018

Projects Supported by University Budget

Application of Statistical Modelling and Stochastic Programming in Big Data Analysis. Prof. Habil. Dr. L. Sakalauskas. 2015–2018.

Planning algorithm for an experimental series using geometry of distance matrices with fractional degree indices was developed. A recursive algorithm for hidden Markov chains was created. A a novel metrics for the quantitative measuring of social capital and social cohesion was developed.

Main publications:

Jurgelevicius, A., Sakalauskas, L. 2018. Big data mining using public distributed computing. Information Technology and Control, vol. 47, no 2, p. 236–248.

Belovas I., Sakalauskas, L. 2018. Limit theorems for the coefficients of the modified Borwein method for the calculation of the Riemann Zeta-function values. Colloquium Mathematicum, vol. 151, no 2, p. 217–227.

Laukaitis, A., Plikynas, D., Ostasius, E. 2018. Sentence level alignment of digitized books parallel corpora. Informatica, vol. 29, no. 4, p. 1–18.

Theoretical and Engineering Aspects of e-Service Technology Development and Application in High - performance Computing Platforms. Dr. V. Marcinkevičius. 2017–2018.

The goal of the project is to expand the capabilities of Web services technology development and use of these services in high performance computing platforms. The main tasks are such: to improve the access mechanisms to services and to enhance the analysis and realization techniques for service quality forecasting and matching the right, to develop the innovative solutions using Web services technologies for high performance computing platforms.
The main results were supervised machine learning techniques for CERN CMS offline data certification estimated; localization algorithm for UAV using particle filter and visual odometry developed; a dataset of aerial imagery from robotics simulator created.

Main publications:

Stankevičius, M., Marcinkevičius, V., Rapševičius, V. 2018. Comparison of supervised machine learning techniques for CERN CMS offline data certification. Joint Proceedings of Baltic DB&IS 2018 Conference Forum and Doctoral Consortium co-located with the 13th International Baltic Conference on Databases and Information Systems (Baltic DB&IS 2018), Trakai, Lithuania, July 1–4, p. 170–176.

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.

Main results are 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 the experts of the Research Council of Lithuania.

Main publication:

A. Laukaitis, D. Plikynas, E. Ostasius. 2018. Sentence Level Alignment of Digitized Books Parallel Corpora. Informatica, vol. 29, no. 4, 1–18.

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 SCIENTIFIC ACTIVITIES

Prof. L. Sakalauskas

Prof. D. Plikynas

  • member of Artificial Intelligence section of Lithuanian Computer Society (LIKS-AIS);
  • member of ESSA (European Social Simulation Association);
  • member of 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, Dr. S. Rutkauskas (until 28 October).
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. Čiginas, Dr. D. Dzindzalieta, Dr. V. Kurauskas.
Affiliated research fellows: Dr. J. J. Mačys, Prof. Dr. R. Mikulevičius, Prof. Habil. Dr. J. K. Sunklodas.
Doctoral students: M. Lapėnaitė Gedvilė, A. Medžiūnas, R. Užupytė.

RESEARCH INTERESTS

Statistical inference for long memory processes
Statistical hypothesis testing
Heavy tails
Self-similar processes
Rough paths
Bconometrics
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 of Probabilistic Models and the Study of Asymptotic Properties. Prof. Habil. Dr. K. Kubilius. 2017–2019.

Several inequalities of the Littlewood–Offord type for arbitrary groups are established. The resulting inequalities are optimal if the base group contains an element of a certain order.

The stability of a finite difference scheme for Schrödinger, Kuramoto–Tsuzuki and parabolic equations, subject to non-local conditions with complex coefficients, is dealt with. The stability conditions, which have to be met by complex coefficients in non-local conditions, have been determined.

Main publication:

Sapagovas, M., Meškauskas, T. Ivanauskas, F. 2018. Influence of complex coefficients on the stability of difference scheme for parabolic equations with non-local conditions. Applied Mathematics and Computation, vol. 332, p. 228–240, doi: 10.1016/j.amc.2018.03.072.

OTHER SCIENTIFIC ACTIVITIES

Prof. K. Kubilius

Prof. S. Norvidas

Assoc Prof. M. Radavičius

Prof. R. Rudzkis

Prof. M. Sapagovas

Prof. S. Rutkauskas

 

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 Modelling
Department of Computer Science
Department of Mathematical Computer Science
Department of Software Engineering

RESEARCH AREAS

Fundamental mathematics: number theory, probability theory and stochastic analysis, theory of differential equations, functional analysis
Informatics: recognition processes, data analysis and visualization, optimization, artificial intelligence, modelling of processes and systems, mathematical logic and discrete structures,  innovative educational methods
Informatics engineering: image and signal technologies, parallel computing, system engineering, computational experiments, applications of information technologies
Applied mathematics: methods of mathematical statistics, mathematical modelling, econometrics, finance and insurance mathematics, modern elementary mathematics and didactics

DOCTORAL DISSERTATIONS MAINTAINED IN 2018

L. Litvinas. Computational modelling, signal analysis and optimisation of biosensors.

BEST PRESENTATIONS MADE AT CONFERENCES ABROAD

M. Bloznelis, J. Jaworski. The asymptotic normality of the global clustering coefficient in sparse random intersection graphs. Algorithms and Models for the Web Graph. 15th international workshop, WAW 2018, Moscow (Russia).

G. Bareikis, A. Mačiulis. Beta distribution in arithmetical semigroup. Conference Numbers, Funtions, Equations, 2018 Hajdúszoboszló (Hungary).

A. Brilingaitė, L. Bukauskas, E. Kutka, Time-line alignment of cyber incidents in heterogeneous environments. 17th European Conference on Cyber Warfare and Security ECCWS 2018, University of Oslo (Norway).

A.V. Misiukas Misiūnas, T. Meškauskas, R. Samaitienė, Accuracy of different machine learning type methodologies for EEG classification by diagnosis. 9th international conference on Numerical Methods and Applications NM&A'18, Borovets (Bulgaria).

V. Zacharovas. Central limit theorem for the number of parts in partition. 2018 Workshop on Combinatorics and Graph Theory Institute of Mathematics, Academia Sinica, Taipei (Taiwan).

MAIN SCIENTIFIC ACHIEVEMENTS IN 2018

A novel algorithm, based on artificial neural network, for automatic classification of interictal electroencefalograms according to the epilepsy type was proposed.

Analysis of chemotaxis patterns together with mathematical modelling indicated that the spatiotemporal patterns in the suspensions of E. coli form due to phoretic interactions between oscillating cells of high metabolic activity.

The intervals of correlated colour temperature (CCT) corresponding to subjectively pleasing illumination were established for two illuminance levels typical of outdoor environments using a smart solid-state lighting engine with tunable CCT and maintained high-fidelity colour rendition.

 

DEPARTMENT OF COMPUTATIONAL AND DATA MODELLING

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. Nečiporenko (part-time), 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), T. Dagys (part-time), V. Krinickij, E. Kutka, V. Masiulionytė-Dagienė (part-time), K. Mickus (part-time), G. Šamrickis (part-time), B. Šulmanas (part-time).
Partnership associate professors: T. G. Lipnevičius (part-time), R. Markauskas (part-time).
Doctoral students: R. Astrauskas, G. Dreižas, A. V. Misiukas Misiūnas, A. Nečiporenko, T. Raila.

RESEARCH INTERESTS

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

RESEARCH PROJECTS CARRIED OUT IN 2018

Projects Supported by University Budget

Research and Analysis of Methods for Nonlinear, Numerical, Computational and Geometric Modelling, Design and Analysis of Data Base and Data Mining Methods, Image, Signal and Visual Processing. Dr. T. Meškauskas. 2016–2018.

The special approach and methods of CERN CMS data online monitoring and machine learning methodology were proposed. Alignment of cyber security incidents in heterogeneous asynchronous systems was researched. Text was normalized by transforming abbreviations, numbers, dates, acronyms to canonical written text suitable as input for text-to-speech system of Lithuanian language. Lithuanian sound databases based on phonemes and diphones were compared. The stability conditions (of a difference scheme for equations, subject to non-local conditions with complex coefficients) were determined.
Algorithms based on artificial neural networks were dealt with to detect epileptic discharges (spikes) in electroencephalograms. Numerical modelling was performed to determine the influence of ultra-micro-electrode geometry on electric current measurements. Competency assessment and cumulative assessment in the field of computer science were analysed.
New rational parametrizations for all types Darboux cyclides were obtained.
Novel models of various scanning electrochemical microscope’s non-standard geometries for measurement of microscope defects were dealt with. A model subject to pressure PID-controlled flow-through bioreactor was proposed and investigated numerically.

Main publications:

Sapagovas, M., Meškauskas, T., Ivanauskas, F. 2018. Influence of complex coefficients on the stability of difference scheme for parabolic equations with non-local conditions. Applied Mathematics and Computation, vol. 332, p. 228–240, doi: 10.1016/j.amc.2018.03.072.

Laurinčiukaitė, S., Telksnys, A. L., Kasparaitis, P., Kliukienė, R., Paukštytė, V. 2018. Lithuanian speech corpus Liepa for development of human-computer interfaces working in voice recognition and synthesis mode. Informatica, vol. 29, no 3, p. 487–498, doi: 10.15388/Informatica.2018.177.

Jarockytė, G., Dapkutė, D., Karabanovas, V., Daugmaudis, J., Ivanauskas, F., Rotomskis, R. 2018. 3D cellular spheroids as tools for understanding carboxylated quantum dot behavior in tumors. Biochimica et Biophysica Acta: General Subjects, vol. 1862(4), p. 914–923, doi: 10.1016/j.bbagen.2017.12.014.

National Research Projects

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 (head Dr. A.Valotka, Faculty of Philology, Vilnius University), Dr. P. Kasparaitis and Dr. M. Beniušė. 2017–2020.
Creation of Lithuanian voice databases was investigated.

Main publications:

Laurinčiukaitė, S., Telksnys, A. L., Kasparaitis, P., Kliukienė, R., Paukštytė, V. 2018. Lithuanian speech corpus Liepa for development of human-computer interfaces working in voice recognition and synthesis mode. Informatica, vol. 29, no. 3, p. 487–498, doi: 10.15388/Informatica. 2018.177.

Kasparaitis, P., Kančys, K. 2018. Phoneme vs. diphone in unit selection TTS of Lithuanian. Baltic Journal of Modern Computing, vol. 6(2), p. 162–172, doi: 10.22364/bjmc.2018.6.2.08.

Amber Mist 2018, Dr. Linas Bukauskas, 2018 and Cyber Shield 2018, Dr. L. Bukauskas, 2018.

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 publications:

Brilingaitė, A., Bukauskas, L., Kutka, E. 2018. Time-line alignment of cyber incidents in heterogeneous environments. In: Proceedings of the 17th European Conference on Cyber Warfare and Security ECCWS 2018, University of Oslo, Norway, 28–29 June, 2018, Reading: Academic Conferences and Publishing International Limited, p. 57–65.

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, 2018.

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

Indentification of Food Products (Meat Types, Vegetable Oil, Fish And Honey) Authenticity by Using Raman Spectroscopy (LVPA Intelektas). Dr. V. Rapševičius, T. Raila. 2018.

Research of AI methods for food products identification from Raman spectrography data with application for meat animal type and vegetable oil, formaldehid in the fish product and honey type identification.

International Research Projects

CMS Software, Detector Monitoring Platform, Data Quality Monitoring, Learning Machine and Databases (OMS-DC-ML-DB). Dr. A. Juozapavičius, Dr. V. Rapševičius. 2018.

The project aims at developing and monitoring 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.

Contractual Research

Identification of Tree Stems by Using Stationary Lidar Data (MTS-110000-1640 Project). Dr. V. Rapševičius. 2018.

Advanced data analysis and modelling method application for the identification of tree stems in the stationary LiDAR datasets (point cloud).

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 SCIENTIFIC ACTIVITIES

Prof. Emeritus F. Ivanauskas

Prof. A. Juozapavičius

  • editorial board member of the journal Nonlinear Analysis: Modeling and Control, http://www.mii.lt/NA/;
  • deputy Chairman (Lithuania) in CMS collaboration (CERN).

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

Dr. 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.

Dr. V. Rapševičius –

  • member of the Open Data Board under Ministry of Economy and Innovation of the Republic of Lithuania.

CONSULTATIONS PROVIDED BY THE UNIT TO THE PUBLIC OR ECONOMIC ENTITIES

Dr. Agnė Brilingaitė – Vilnius University is an implementation partner in the Erasmus+ project Internal Quality Management: Evaluating and Improving Competence-Based Higher Education (IQM-HE), 2015–2018, http://www.iqm-he.eu/#project. Dr. Agnė Brilingaitė was employed into the project to get experimental results from testing of the toolkit developed by a heterogeneous group of experts and practitioners (Austria, Lithuania, Romania, Slovenia, Germany). The result is the report: A. Brilingaitė, D. Lepaitė, Competence Screening. 2017 Results for Information Technologies.

L. Būtėnas – Consulting Chaintech Company (Estonia) in blockchain, data analysis and artificial intelligence domains.

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES

Dr. L. Bukauskas (in direct radio discussion) et. al. – “How well we are prepared against cyber threats?” (in Lithuanian “Kiek esame pasirengę kibernetinėms grėsmėms”) https://www.ziniuradijas.lt/laidos/europos-greitkeliu/kiek-esame-pasirenge-kibernetinems-gresmems?video=1

Dr. L. Bukauskas et al. – “Cyber security” for schools organised by Ministry of Science and Education https://www.itc.smm.lt/kvieciame-registruotis-i-rengini-kibernetine-sauga-skirta-ikt-koordinatoriams/#more-8985 ( see the embedded link https://youtu.be/bHa75RZ0LOc )

Dr. L. Bukauskas et al. – “200 cyber security specialists are training to defend critical infrastructure in Lithuania” (in Lithuanian “200 kibernetinio saugumo specialistų treniruojasi apginti Lietuvos kritinę infrastruktūrą”) https://www.15min.lt/mokslasit/straipsnis/technologijos/200-kibernetinio-saugumo-specialistu-treniruojasi-apginti-lietuvos-kritine-infrastruktura-646-1043448

Dr. P. Kasparaitis et al. – „We will speak Lithuanian with phones, tablets and robots soon“ (in Lithuanian „Greitai lietuviškai šnekėsime su telefonais, planšetėmis ir robotais“), https://www.paninfo.lt/2018/02/05/greitai-lietuviskai-snekesime-su-telefonais-plansetemis-ir-robotais/

Dr. P. Kasparaitis et al. – „Technology: Death or salvation for the Lithuanian language?“ (in Lithuanian „Technologijos: mirtis ar išsigelbėjimas lietuvių kalbai?“), https://www.delfi.lt/mokslas/technologijos/technologijos-mirtis-ar-issigelbejimas-lietuviu-kalbai.d?id=79274245

 

DEPARTMENT OF COMPUTER SCIENCE

47 Didlaukio, LT- 08303 Vilnius
Tel. 219 50 10
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. G. Skersys.
Junior assistant: A. Šaikūnas (part-time).
Lecturers: Dr. R. Dzindzalieta (part-time), M. Eglinskas (part-time), G. Graževičius (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

Colour rendering and its applications
Computational modelling and optimisation of biosensors
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
Error-correcting codes
Cloud computing
Computational intelligence and machine learning
Neural networks, pattern recognition
Modal logics. Artificial intelligence
Financial data analysis using computational intelligence methods
Neural networks in robotics and speech recognition

RESEARCH PROJECTS CARRIED OUT IN 2018

Projects Supported by University Budget

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

The relationship between illuminance level and the preferred correlated colour temperature was established. The novel method based on Pareto optimised moving average smoothing for futures and stock trend predictions are developed. The method allows better time series smoothing with the same level of accuracy as traditional methods, or better accuracy with the same smoothness. The algorithm for determining the optimal time-varying length of training history to produce a sustainable portfolio is proposed.

Main publications:

Petrulis, A., Petkevičius, L., Vitta, P., Vaicekauskas, R., Žukauskas, A. 2018. Exploring preferred correlated color temperature in outdoor environments using a smart solid-state light engine. LEUKOS, vol. 14, no. 2, p. 95–106.

Raudys, S., Raudys, A., Pabarškaitė, Z. 2018. Optimising the smoothness and accuracy of moving average for stock price data. Technological and Economic Development of Economy, vol. 24(3), p. 984–1003.

Raudys, S., Raudys, A., Pabarškaitė, Z. 2018. Dynamically controlled length of training data for sustainable portfolio selection. Sustainability, vol. 10, no 6, art. no 1911, 10 p.

Contractual Research.

The project of Innovation Checks was carried out: The Use of Artificial Intelligence to Protect Investment Portfolios from Unforeseen Events (Black Swans).

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

Pattern Recognition and Applications LAB, Department of Electrical and Electronic Engineering, University of Cagliari (Italy)
Office of the Government of the Republic of Lithuania
University of Bremen (Germany)‎
Fraunhofer Institute for Factory Operation and Automation IFF Magdeburg (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 ICIST international conference on Information and Software Technologies;
  • program committee member of the SERENE International Workshop on Software Engineering for Resilient Systems.

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.

 

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, A. Košuba (part-time), G. Košubienė (part-time), K. Kvederavičiūtė (part-time), A. Merkys (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 2018

Projects Supported by University Budget

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

The asymptotic normality of the global clustering coefficient of sparse uniform random intersection graph has been established.
The sequences of distributions defined on an arithmetical semigroup were considered. It was proved that any beta distribution can occur as a limit law for such sequences.
The sufficient conditions for the uniform distribution of sequences related to Farey fractions were found.
Sufficient conditions for the asymptotic normality of the distribution of number of parts in random partitions were obtained.

Main publications:

Bloznelis, M., Jaworski, J. 2018. The asymptotic normality of the global clustering coefficient in sparse random intersection graphs. In: Algorithms and models for the Web graph: 15th international workshop, WAW 2018, Moscow, Russia, May 17–18, 2018: Proceedings. Cham: Springer International Publishing AG, p. 16–29.

Bareikis, G., Mačiulis, A.  2018. Beta distribution on arithmetical semigroups. Annales Universitatis Scientiarum Budapestinensis de Rolando Eotvos Nominatae: Sectio computatorica. Budapest: Eötvös Loránd University, vol. 47, p. 147–154.

Stakėnas, V. 2018. On the uniform distribution modulo 1 of sequences f(m/n). Annales Universitatis Scientiarum Budapestinensis de Rolando Eotvos Nominatae: Sectio computatorica. Budapest: Eötvös Loránd University, vol. 48, p. 189–198.

National Research Projects

Research Council of Lithuania. Structural Functional Equations: Projective Flows, Transfer Operators, Minkowski Question Mark Function, and Modular Forms (No MIP-072/2015). Dr. G. Alkauskas. 2015–2018.

The following result is proved: if two 2-dimensional 2-homogeneous rational vector fields commute, then either both vector fields can be explicitly integrated to produce rational flows with orbits being lines through the origin, or both flows can be explicitly integrated in terms of algebraic functions. In the latter case, orbits of each flow are given in terms of 1-homogeneous rational functions W as curves W(x,y)=const. An exhaustive method to construct such commuting algebraic flows is presented. The degree of the so-obtained algebraic functions in two variables can be arbitrarily high.

Main publication:

Alkauskas, G. 2018. Planar 2-homogeneous commutative rational vector fields. Electronic Journal of Diferential Equations, vol. 2018, no. 138, p. 1–21.

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

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

OTHER SCIENTIFIC ACTIVITIES

Dr. G. Alkauskas

Assoc. Prof. G. Bareikis

Prof. M. Bloznelis

Assoc. Prof. A. Mačiulis

Assoc. Prof. V. Stakėnas

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES

Dr. G. Alkauskas

  • Science popularization article: “Music–Mathematics” Interconnections: An Approach through Science (Works by Mathematicians), and an Approach through the Arts (Musica mathematica by Rima Povilionienė). Lithuanian Musicology (Lietuvos muzikologija). 2018, p. 169–185.

 

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. 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).
Senior assistants: O. Mirzianov, L. Petkevičius.
Assistants: Dr. Ž. Ledas (part-time), Dr. S. Peldžius (part-time), Dr. T. Plankis, Dr. V. Valaitis.
Lecturers: B. Dapkūnas (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), T. Smagurauskas (part-time), A. Šimkus (part-time), T. Tumasonis (part-time), K. Uosis (part-time), dr. A. Vaitkevičienė, (part-time).
Doctoral students: L. Litvinas, 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 2018

Projects Supported by University Budget

Modelling of Computerized Systems and their Development Process. Prof. R. Baronas. 2017–2018.

Computational model for the self-organization of E. coli cells as detected by bioluminescence imaging designed. Deep learning model for bone age assessment was created.
Formal specification for a session management algorithm was developed.

Main publications:

Šimkus, R., Meškienė, R., Aučynaitė, A., Ledas, Ž., Baronas, R., Meškys, R. 2018. Phoretic interactions and oscillationsin active suspensions of growing Escherichia coli. Royal Society Open Science, vol. 5(5), art. No. 180008, 16 p., doi: 10.1098/rsos.180008.

Petrulis, A., Petkevičius, L., Vitta, P., Vaicekauskas, R., Žukauskas, A. 2018. Exploring preferred correlated color temperature in outdoor environments using a smart solid-state light engine. LEUKOS, vol. 14, no 2, p. 95–106, doi: 10.1080/15502724.2017.1377085.

Neverauskienė, A., Maciusovič, M., Burkanas, M., Gricienė, B., Petkevičius, L., Zaleckas, L., Tamošiūnas, A. E., Venius, J. 2018. Image based simulation of the low dose computed tomography images suggests 13 mAs 120 kV suitability for non-syndromic craniosynostosis diagnosis without iterative reconstruction algorithms. European Journal of Radiology, 105, p. 168–174, doi: 10.1016/j.ejrad.2018.06.005.

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. 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:

Baronas, R., Kulys, J., Petkevičius, L. 2018. Modelling the enzyme catalysed substrate conversion in a microbioreactor acting in continuous flow mode. Nonlinear Analysis: Modelling and Control, vol. 23 no. 3, p. 437–456, doi:10.15388/NA.2018.3.9.

Petkevičius, L., Baronas, R. 2018. Modeling and simulation of enzyme-catalysed substrate conversion in a microbioreactor. International Journal on Advances in Systems and Measurements, vol. 11, no. 1&2, p. 173–182.

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 Sustainable Income Assessment Algorithm. 2018. L. Petkevičius

Creation of the Centre for Analysis, Modelling 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 SCIENTIFIC ACTIVITIES

Prof. R. Baronas

Assoc. Prof. V. Čyras

Assoc. Prof. K Lapin

  • Initializing the scientific collaboration with the Systems Research Institute of the Polish Academy of Sciences, prof. Ignacy Kaliszewski scientific group. Research topics were presented in Warsaw on January 31, 2018.

Assoc. Prof. S. Ragaišis

 

 

INSTITUTE OF MATHEMATICS

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

Directors – Prof. Dr. Jonas Šiaulys (since September 3th)
                    Prof. Dr. Paulius Drungilas (till September 3th)

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. Habil. Dr. V. Paulauskas (Emeritus), Dr. G. Stepanauskas, Dr. J. Šiaulys.
Associate professor: Dr. E. Gaigalas, Dr. A. Grigutis, Dr. R. Kašuba, Dr. M. Manstavičius, Dr. E. Mazėtis, Dr. A. Plikusas.
Chief research fellows: Dr. R. Garunkštis (part-time), Habil. Dr. A. Dubickas, Habil. Dr. A. Laurinčikas.
Assistants: Dr. A. Balčiūnas, Dr. J. Damarackas, Dr. A. Elijio, Dr. A. Lenkšas, Dr. A. Novikas, Dr. D. Puplinskaitė, Dr. A. Skučaitė Dr. R. Šimėnas, Dr. A. Zinevičius.
Junior assistants: G. Bagdonas, E. Jaunė, V. Jurgelevičius L. Kaziulytė.
Lecturers: Š. Dirmeikis, Dr. A. Kačėnas (part-time), V. Stepas.
Affiliate associate professor: Dr. R. Kudžma.
Doctoral students: G. Bagdonas, M.  Burbulevičius, V. Franckevič, E. Gutauskaitė, R. Gylys, E. Jaunė, V. Jurgelevičius, G. Lileika, L. Kaziulytė, B. Kazlauskaitė, T. Kuras, A. Mincevič, G. Mongirdaitė, D. Mochov, T. Panavas, S. Paukštys, J. Petuškinaitė, A. Rimkevičienė, J. Sprindys, M. Stoncelis, G. Šemetulskis, A. Šmergelytė, R. Tamošiūnas, P. Tarasov, G.  Vadeikis, A.  Vaiginytė, G. Ziezys.

DEPARTMENTS OF INSTITUTE

Department of Mathematical Analysis
Department of Probability Theory and Number Theory
Mathematical Methodology Centre

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

DOCTORAL DISSERTATIONS DEFENDED IN 2018

S. Danilenko. Closure properties of randomly stopped sums.
E. Jaunė. Tail asymptotics of a sum of heavy-tailed distributions with application to risk theory.
D. Mochov. Universality theorems for periodic Hurwitz zeta function.
O. Navickienė. Recursive calculation of risk measures in discrete time risk model with inhomogeneous claims.
A. Rimkevičienė. Investigations of the asymptotic behaviour of periodic Hurwitz zeta-functions.
G. Šemetulskis. Variations on the problems of Erdos-Turan and Littlewood-Offord.
R. Tamošiūnas. Value distribution of Lerch and periodic Hurwitz zeta-functions.

MAIN CONFERENCES ORGANIZED IN 2018

International conference On Number Theory dedicated to the 70th birthdays of Professors Antanas Laurinčikas and Eugenijus Manstavičius.

12th international Vilnius conference On Probability and Mathematical Statistics and 2018 IMS annual meeting On Probability and Statistics.

BEST PRESENTATIONS MADE AT CONFERENCES ABROAD

A. Dubickas. Multiplicative dependence of shifted algebraic numbers, Numeration 2018, Paris, France.

A. Dubickas. On the distance to the nearest square-free polynomial, 6th International Conference on Uniform Distribution Theory, CIRM, Marseille, France.

A. Laurinčikas, D. Šiaučiūnas. Discrete universality of zeta functions of cups forms. Mathematical Modelling and Analysis [MMA2018]: 23rd international conference, Sigulda, Latvia.

E. Manstavičius. Limit theorems for additive statistics on random permutations. Energy Materials Nanotechnology: 2018 EMN Croatia Meeting, Dubrovnic, Croatia.

J. Šiaulys. Non-homogeneous renewal risk models. Modern Stochastics: Theory and Applications. IV. Dedicated to the 100-th anniversary of I.I. Gihkman, Kyiv, Ukraine.

MAIN SCIENTIFIC ACHIEVEMENTS IN 2018

Asymptotics for the number of algebraic numbers of bounded degree and Weil height was established thus answering a conjecture posed at MathOverflow.

A joint discrete universality theorem for collections consisting from the Riemann zeta-function and periodic Hurwitz zeta-functions was obtained.

The exponential-type estimates are derived for ruin probability of nonhomogeneous renewal risk models.

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 board member of Health Section.

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

12th international Vilnius conference On Probability and Mathematical Statistics and 2018 IMS Annual Meeting on Probability and Statistics, https://ims-vilnius2018.com/: Prof. V. Paulauskas, Prof. G. Stepanauskas, Dr. J. Damarackas, Dr. M. Manstavičius.

International conference On Number Theory dedicated to the 70th birthdays of Professors Antanas Laurinčikas and Eugenijus Manstavičius, http://numbertheory.lt: Prof. J. Šiaulys, Prof G. Stepanauskas.

7th Meeting of Lithuanian Young Mathematicians, http://lmd.mif.vu.lt: Prof. J  Šiaulys, Dr. M. Manstavičius, Dr. E. Jaunė.

The Team Olympiad for Schoolchildren 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.

Annual Meeting of Teachers of Mathematics, http://mif.vu.lt/lmma: Dr. A. Skučaitė.
A. Dubickas. Interview about the achievements of Lithuanian students at International Mathematical Olympiads, the Savaitė, Nr. 46, p.12–13.

 

DEPARTMENT OF MATHEMATICAL ANALYSIS

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

Head – Prof. Dr. Jonas Šiaulys

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 2018

Projects Supported by University Budget

Studies of Random Processes and Fields and Their Applications in Financial and Actuarial Mathematics. Prof. J. Šiaulys. 2016–2021.

A Lundberg-type inequality with explicit constants is obtained for the ruin probability in the inhomogeneous renewal risk model satisfying the net profit condition on average or on maximum. Sufficient conditions are found under which randomly stopped sums, randomly stopped maximums and randomly stopped maximums of sums are distributed according to O-exponential laws. A number of closure properties were obtained for class of exponential distributions. The asymptotic formulas are derived for expectation of the truncated randomly weighted sums with heavy tailed summands. The new algorithm is derived for calculating the values of the Gerber-Shiu discounted penalty function in the bi-seasonal discrete time risk model.
The dependence measures were considered for random variables with infinite variance.
Several the bivariate copula properties are studied which are preserved or not by the special mapping. New bounds for bivariate Clayton copula were obtained.
A direct proof is obtained for the existence of a classical smooth solution for the backward Kolmogorov equation related to CIR process.

Main publications:

Danilenko, S., Šiaulys, J., Stepanauskas, G. 2018. Closure properties of O-exponential distributions. Statistics and Probability Letters, vol. 140, p. 63–70.

Jaunė, E., Ragulina, O., Šiaulys, J. 2018. Expectation of the truncated randomly weighted sums with dominatedly varying summands. Lithuanian Mathematical Journal, vol. 58(4), p. 421–440.

Navickienė, O., Sprindys, J., Šiaulys, J. 2018. The Gerber-Shiu discounted penalty function for the bi-seasonal discrete time risk model. Informatica, vol. 29(4), p. 733–756.

National Research Projects

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

Sufficient conditions are found under which distribution of stopped sums are exponential or O-exponential in the case of possible not identically distributed random summands. The exponential-type estimates for ruin probability are derived for nonhomogeneous risk models. The necessary and sufficient conditions are obtained for the special transforms preserving copulas properties.

Main publications:

Manstavičius, M., Bagdonas, G. 2018. A class of bivariate copula mappings. Fuzzy Sets and Systems, https://doi.org/10.1016/j.fss.2018.05.001.

Kizinevič, E., Šiaulys, J. 2018. The exponential estimate of the ultimate ruin probability for the non-homogeneous renewal risk model. Risks, vol. 6(1), no. 20.
Kievinaitė, D., Šiaulys, J. 2018. Exponential bounds for the tail probability of the supremum of an inhomogeneous random walk. Modern Stochastics – Theory and Applications, vol. 5(2), p. 129–143.

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 SCIENTIFIC ACTIVITIES

Prof. V. Mackevičius

  • editorial board member of the Lithuanian Mathematical Journal;
  • copyeditor of the Lithuanian Mathematical Journal;
  • member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index_en.html .

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;
  • member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index_en.html ;
  • organizing committee member of the international conference On Number Theory dedicated to the 70th birthdays of Professors Antanas Laurinčikas and Eugenijus Manstavičius, http://numbertheory.lt/.

Prof. G. Stepanauskas

  • board member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index_en.html;
  • organizing committee member of the 12th Vilnius International Conference on Probability Theory and Mathematical Statistics; held jointly with Institute of Mathematical Statistics, Vilnius, Lithuania, July 17–21, 2018, http://ims-vilnius2018.com/organization/;
  • organizing committee chairman of the international conference On Number Theory dedicated to the 70th birthdays of Professors Antanas Laurinčikas and Eugenijus Manstavičius, http://numbertheory.lt/.

Prof. G. Bakštys

Dr. M. Manstavičius

Dr. A. Skučaitė

Dr. J. Damarackas

  • organizing committee member of the 12th Vilnius International Conference on Probability Theory and Mathematical Statistics; held jointly with Institute of Mathematical Statistics, Vilnius, Lithuania, July 17–21, 2018, http://ims-vilnius2018.com/organization/.

 

DEPARTMENT OF PROBABILITY THEORY AND NUMBER THEORY

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

Head – Prof. Habil. Dr. Artūras Dubickas

RESEARCH INTERESTS

Algebraic number theory
Analytic number theory
Combinatorics
Probabilistic number theory

RESEARCH PROJECTS CARRIED OUT IN 2018

Projects Supported by University Budget

Problems of Algebraic and Analytic Number Theory. Prof. A. Dubickas, Prof. A. Laurinčikas, Prof. E. Manstavičius. 2014–2018.

It was proved that by changing at most two coefficients of an integer polynomial by 1 one can always get a square free polynomial. This bound is sharp, since for every integer d at least 15 it is possible to construct an integer polynomial of degree d that is not square free and by changing its any coefficient by 1 we get a polynomial which is also not square free. An estimate of the number of zeros for the derivative of the Lerch zeta function was obtained. It was proved that the points of the Selberg zeta function attached to finite Riemann surfaces are uniformly distributed modulo one.
A new bound for the Selberg zeta function associated with a compact surface was obtained. Estimates of the number of permutations missing some cycle lengths were sharpened. Optimal constants in the upper estimates of the variance of linear statistics defined on random permutations were discovered. A joint discrete universality theorem for collections consisting from the Riemann zeta-function and periodic Hurwitz zeta-functions was obtained. Joint discrete universality theorems for the Riemann and Hurwitz zeta-functions involving a uniformly discrete modulo 1 sequence were proved. The set of Littlewood polynomials of degree at most 12 which divide Newman polynomials was determined. It was also proved that certain Newman quadrinomials have Littlewood multiples.

Main publications:

Drungilas, P., Jankauskas, J., Šiurys, J. 2018. On Littlewood and Newman polynomial multiples of Borwein polynomials. Math. Comp., vol. 87(311), p. 1523–1541.

Dubickas, A. 2018. The size of algebraic integers with many real conjugates. Ars Mathematica Contemporanea, vol. 14(1), p. 165–176.

Laurinčikas, A. 2018. Joint value distribution theorems for the Riemann and Hurwitz zeta-functions. Moscow Math. J., vol. 18, p. 349–366.

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.

Classification of compositum-feasible triplets of positive integers was extended. Multiplicative independence of two integers shifted by a root of unity was obtained.

Main publications:

Drungilas, P., Jankauskas, J., Junevičius, G., Klebonas, L., Šiurys, J. 2018. On certain multiples of Littlewood and Newman polynomials. Bull. Korean Math. Soc., vol. 55, p. 1491–1501.

Dubickas, A., Sha, M. 2018. The distance to square-free polynomials. Acta Arithmetica, vol. 186(3), p. 243–256.

Dubickas, A. 2018. On the number of monic integer polynomials with given signature. Archiv der Mathematik, vol. 110(4), p. 333–342.

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 theorems for the Riemann and Hurwitz zeta-functions and their corollaries involving the uniformly distributed modulo 1 sequences were obtained. Continuous and discrete universality theorems for the periodic Hurwitz zeta-function with rational parameter were proved. A limit theorem of Bohr-Jessen type for the Epstein zeta-function was proved.
We also established how close the sum of two and three roots of unity can be to zero, thus answering a corresponding question of Myerson. A new bound for the error term of the number of nontrivial zeros for the derivative at the Selberg zeta-function was obtained.

Main publications:

Laurinčikas, A., Macaitienė, R. 2018. A Bohr-Jessen type theorem for the Epstein zeta-function. Results in Math., vol. 73(4), UNSP 148.

Garunkštis, R. 2018. Growth of the Selberg zeta-function. Kyushu J. Math., vol. 72(2), p. 441–447.

Dubickas, A. 2018. On sums of two and three roots of unity. J. Number Theory, vol. 192, p. 65–79.

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.

Together with R. Garunkštis and R. Tamošiūnas, the zeros of the derivative of the Lerch zeta-function were studied.

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

University of New South Wales (Sydney, Australia)
Nagoya University (Japan)
Würzburg University (Germany)
Montanuniversität Leoben (Austria)

OTHER SCIENTIFIC ACTIVITIES

Prof. P. Drungilas

  • organizing committee member of the international conference On Number Theory dedicated to the 70th birthdays of Professors Antanas Laurinčikas and Eugenijus Manstavičius, http://numbertheory.lt/.

Prof. A. Dubickas

Prof. R. Garunkštis

Prof. A. Laurinčikas

Prof. E. Manstavičius

 

MATHEMATICAL METODOLOGY CENTRE

24 Naugarduko, LT-03225 Vilnius
Tel. 2193086
E-mail:

Head – Assoc. Prof. Dr. Edmundas Mazėtis

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 2018

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. 2018. Nei per lengvi, nei per sunkūs pamokomi uždaviniai Lietuvos matematizuotose terpėse. Liet. matem. rink. Proceeding LMS, Ser. B, vol. 59, p. 20–26.

Mazėtis, E. Melničenko, G. 2018. Racionalieji kuboidai ir Herono trikampiai. Liet. matem. rink. Proceeding LMS, Ser. B, vol. 59, p. 61–6.

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 SCIENTIFIC ACTIVITIES

Assoc. Prof. R. Kašuba

Affil. 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

 

INSTITUTE OF APPLIED MATHEMATICS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3050
E-mail: ,
www http://www.mif.vu.lt

Head – Prof. Habil. Dr. Remigijus Leipus

STAFF

Professors: Habil. Dr. K. Pileckas, Dr. A. Ambrazevičius, Dr. O. Štikonienė, Dr. P. Katauskis, Habil. Dr. V. Čekanavičius, Habil. Dr. R. Leipus, Habil. Dr. R. Norvaiša, Habil. Dr. A. Račkauskas, Habil. Dr. M. Radavičius (part-time), Habil. Dr. V. Bagdonavičius, Dr. V. Kazakevičius.
Research fellows: Habil. Dr. K. Pileckas, Dr. K. Karčiauskas, Dr. A. Štikonas, Dr. R. Vidunas. 
Professor emeritus: Habil. Dr. D. Surgailis.
Affiliate professor: Dr. V. Skakauskas.
Associate professors: Dr. A. Kregždė, Dr. G. Puriuškis, Dr. S. Rutkauskas (part-time), Dr. K. Karčiauskas (part-time), Dr. G. Murauskas, Dr. R. Eidukevičius, Dr. R. Levulienė, Dr. J. Markevičiūtė, Dr.V. Skorniakov.
Lecturers: Dr. A. Domarkas, Dr. A. Kavaliauskas, Dr. K. Kaulakytė, A. Medžiūnas (part-time), Dr. D. Celov, Dr. V. Zemlys, A. Buteikis (part-time), V. Maniušis, T. Marčiulaitis (part-time), A. Eismontaitė, Dr. E. Karikovas, Dr. Š. Repšys, V. Šumskas (part-time), K. Bingelė (part-time). 
Doctoral students: G. Paukštaitė, V. Šumskas, A. Buteikis, J. Gudan, J. Jarutis, S. Jokubaitis, S. Staskevičiūtė, V. Miežys, T. Danielius, R. Juodagalvytė. A. Eismontaitė. 

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

DOCTORAL DISSERTATIONS MAINTAINED IN 2018

G. Paukštaitė. Generalized Green’s functions for problems with nonlocal conditions.

MAIN CONFERENCES ORGANIZED IN 2018

12th international Vilnius conference on Probability Theory and Mathematical Statistics and 2018 IMS Annual Meeting on Probability and Statistics
Conference in honour of Professor Donatas Surgailis
59th Conference of the Lithuanian Mathematical Society

BEST PRESENTATIONS MADE AT CONFERENCES ABROAD

Leipus R. Closure properties for heavy-tailed distributions: some recent results. 12th International Conference on Computational and Financial Econometrics (CFE 2018) and 11th International Conference of the ERCIM (European Research Consortium for Informatics and Mathematics) Working Group on Computational and Methodological Statistics (ERCIM 2018), Pisa (Italy).

Leipus R. Memory properties in random coefficient dynamic panel data model: asymptotic theory and statistical inference. Workshop Long Memory, Institut für Statistik, Leibniz Universität Hannover.

 

DEPARTMENT OF DIFFERENTIAL EQUATIONS

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

Head - Prof. Habil. Dr. Konstantinas Pileckas

STAFF

Professors: Habil. Dr. K. Pileckas, Dr. A. Ambrazevičius, Dr. O. Štikonienė, Dr. P. Katauskis.
Research fellows: Habil. Dr. K. Pileckas, Dr. K. Karčiauskas, Dr. A. Štikonas, Dr. R. Vidunas.
Affiliate professor: Dr. V. Skakauskas.
Associate professors: Dr. A. Kregždė, Dr. G. Puriuškis, Dr. S. Rutkauskas (part-time), Dr. K. Karčiauskas (part-time).
Lecturers: Dr. A. Domarkas, Dr. K. Kaulakytė, A. Medžiūnas (part-time), A. Eismontaitė, Dr. E. Karikovas, Dr. Š. Repšys, V. Šumskas (part-time), K. Bingelė (part-time).
Doctoral students: A. Eismontaitė, R. Juodagalvytė, G. Paukštaitė, V. Šumskas.

RESEARCH INTERESTS

Investigation of differential equations
Integrodifferential and nonlocal equations
Numerical methods

RESEARCH PROJECTS CARRIED OUT IN 2018

National Research Projects

Research Council of Lithuania. Differential Equations with Non-Classical Boundary Conditions (S-MIP-17-65). 2017−2020. Principal investigator Prof. P. Katauskis.

Research Council of Lithuania. Navier-Stokes Equations under General Adherence Boundary Condition (S-MIP-17-68). 2017−2020. Principal investigator Prof. K. Pileckas.

International Research Projects

European Social Fund according to the activity Improvement of Researchers Qualification by Implementing World-Class R and D Projects of Measure No. 09.3.3-LMT-K-712.: Project: Multistage Modelling for Viscous Flows in Domains with Complex Geometry (project 09.3.3-LMT-K-712-01-0012). 2017−2021. Principal investigator Prof. K. Pileckas.

Main publications:

Karčiauskas, K., Peters, J. 2018. A new class of guided C-2 subdivision surfaces combining good shape with nested refinement. Computer Graphics Forum, vol. 37(6), p. 84−95.

Korobkov, M., Pileckas, K., Russo, R. 2018. The existence theorem for the steady Navier-Stokes problem in exterior axially symmetric 3D domains. Mathematische Annalen, vol. 370(1−2), p. 727−784.

Skakauskas, V., Katauskis, P., Čiegis, R. 2018. Modelling of the NO + CO reaction over inhomogeneous surfaces. Journal of Mathematical Chemistry, vol. 56(9), p. 2626−2642.

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 SCIENTIFIC ACTIVITIES

Prof. K. Pileckas

Prof. O. Štikonienė

Prof. A. Štikonas

Assoc. Prof. S. Rutkauskas

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

2017 Lithuanian Science Award. M. Sapagovas, R. Čiegis, A. Štikonas. A series of works Non-Classical Differential Problems and their Solution Methods. 2002–2016.

 

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. Čekanavičius, Habil. Dr. R. Leipus, Habil. Dr. R. Norvaiša, Habil. Dr. A. Račkauskas, Habil. Dr. M. Radavičius (part-time), Habil. Dr. V. Bagdonavičius, Dr. V. Kazakevičius.
Professor emeritus: Habil. Dr. D. Surgailis.
Associate professors: Dr. G. Murauskas, Dr. R. Eidukevičius, Dr. R. Levulienė, Dr. J. Markevičiūtė, Dr. V. Skorniakov.
Lecturers: Dr. D. Celov, Dr. V. Zemlys, A. Buteikis (part-time), V. Maniušis, T. Marčiulaitis (part-time).
Doctoral students: A. Buteikis, J. Gudan, J. Jarutis, S. Jokubaitis, T. Danielius, S. Staskevičiūtė, V. Miežys.

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

RESEARCH PROJECTS CARRIED OUT IN 2018

Projects Supported by University Budget

Analysis and Applications of Functions and Stochastic Systems. Prof. A. Račkauskas. 2016–2021.

  • Rough functions analysis;
  • Functional data analysis;
  • Approximation of stochastic systems;
  • Investigation of long memory processes.

Bernstein-Kantorovich invariance principle is proved in Hölder framework. Some limit theorems proved for weighted scan statistics. A version of the first uniform Komogorov theorem was proved for the sums of 1-dependent random variables. The dominating-smoothing effect of partial weighted sums was investigated for discrete random variables.

Main publications:

Čekanavičius, V., Vellaisamy, P. 2018. Approximating by convolution of the normal and compound Poisson laws via Stein’s method. Lithuanian Mathematical Journal, vol. 58, no 22, p. 127−140.

Čekanavičius, V., Vellaisamy, P. 2018. Infinitely divisible approximations for sums of m-dependent random variables. Journal of Theoretical Probability, vol. 31(4), p. 2432−2445.

Čekanavičius, V., Vellaisamy, P. 2018. On closeness of two discrete weighted sums. Modern Stochastics: Theory and Applications, vol. 5(2), p. 207−224.

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

New tests for testing the absence of cross effects of hazard functions using parametric approach for Weibull, loglogistic and lognormal models were constructed and the power of tests was investigated. New smooth GOF tests for location-scale distribution families were proposed and the power of tests was analysed. New outlier detection tests were constructed.

A new ergodic theorem for double sequences of random variables was proved. New sufficient conditions for consistency of inhomogeneous IARCH equation were obtained.
Covariance structure of some subset of self-similar Gaussian processes was described.

National Research Projects

Research Council of Lithuania. Mathematical Foundations of Data Analysis (S-MIP-17-76). 2017–2020. Principal investigator Prof. A. Račkauskas.

Assymptotic normality established for weighted sums of Hilbert space valued random elements. Weak invariance principle proved in a finite p-variation functions framework.

Main publication:

Butkus, V., Norvaiša, R. 2018. Computation of p-variation. Lithuanian Mathematical Journal, vol.58(4), p. 360–378, doi: 10.1007/s10986-018-9414-3.

Research Council of Lithuania. Assessment of Myocardial Structure Changes and their Prognostic Significance in Patients with Severe Degenerative Aortic Stenosis. 2018–2022.

Remarks:

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 SCIENTIFIC ACTIVITIES

Prof. A. Račkauskas

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 Research Council of Lithuania;
  • 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

  • 2030 Curriculum Analysis Planning Meeting. OECD, Paris (France), March 1–2, 2018;
  • PISA 2021 Mathematical Literacy Item Development Workshop. Liege (Belgium), June 6–8, 2018;
  • The Future of Education and Skills 2030. 8th Informal Working Group Meeting. Paris (France), October 29–31, 2018.

CONSULTATIONS PROVIDED BY THE UNIT TO THE PUBLIC OR ECONOMIC ENTITIES

Prof. R. Norvaiša

  • Lecture to teachers of mathematics: mathematical reasoning in school. Ministry of Education and Science, April 23, 2018;
  • Lecture to teachers of mathematics: curriculum of school mathematics. Ministry of Education and Science, October 4, 2018;
  • Lecture to experts of education: Mathematical Literacy for PISA 2021. Ministry of Education and Science, December 13, 2018;
  • Lecture to teachers of mathematics: curriculum of school mathematics. Association of Teachers of Mathematics, December 28, 2018.

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES

Assoc. Prof. V. Skorniakov

  • Participation at annual Lithuanian Mathematical Olympiad for 7–8 class students.

Dr. J. Markevičiūtė

  • Lecture in Studies 2018 Data Science: Yesterday, Today and Tomorrow.

Prof. R. Norvaiša

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