Faculty of Mathematics and Informatics
24 Naugarduko st., LT-03225 Vilnius
47 Didlaukios st., LT-08303 Vilnius
4 Akademijos st., LT-08412 Vilnius
Tel. 219 3050
E-mail: http://www.mif.vu.lt
Dean – Prof. Dr Paulius Drungilas
STAFF
153 teachers (incl. 106 holding research degree), 50 research fellows (incl. 46 holding research degree), 72 doctoral students.
INSTITUTES OF THE FACULTY
Institute of Data Science and Digital Technologies
Institute of Computer Science
Institute of Mathematics
Institute of Applied Mathematics
RESEARCH AREAS
• Integrated Development of Mathematics, Informatics, and Information Technologies for The Knowledge Society Advanced Products and Services
• Informatics
• Operational Research
Informatics Engineering: Signal Analysis, Machine Learning, Deep Neural Networks
• Blockchain Technologies
• Fundamental Mathematics: Number Theory, Probability Theory and Stochastic Analysis, Risk Theory, Theory of Differential Equations, Functional Analysis
• Applied Mathematics: Methods of Mathematical Statistics, Mathematical Modelling, Finance and Insurance Mathematics, Modern Elementary Mathematics and Didactics, Econometrics, Time Series Analysis, Mathematical Optimisation
DOCTORAL DISSERTATIONS MAINTAINED IN 2022
V. Jusevičius. Research and development of an open-source algebraic modeling and mathematical optimization system
E. Zikarienė. Spatial Contextual Classification Based on Conditional Distributions Belonging to Elliptical and Exponential Families
V. Lukšienė. Approximation of analytic functions by shifts of certain zeta-functions.
G. Mongirdaitė. Weak approximations of the Wright–Fisher process and related problems.
J. Sprindys. Asymptotic analysis of heavy tailed distributions.
MAIN CONFERENCES ORGANIZED IN 2022
13th Conference “Data Analysis Methods for Software Systems”, December 1–3, 2022, Druskininkai, Lithuania
12th International Doctoral Consortium “Informatics Engineering Education Research”, December 4–8, 2022, Druskininkai, Lithuania
National conference “LXIII conference of Lithuanian Mathematical Society”, June 16–17, 2022, Kaunas, Lithuania.
MAIN SCIENTIFIC ACHIEVEMENTS IN 2022
It was shown that the algorithm based on the convolutional neural network not only enables the detection of damage to biological membranes but also predicts the electrochemical response (computed by the finite element method) of these membranes.
A framework was developed for selecting the most suitable blockchain consensus protocols depending on the identified criteria, priorities, and other requirements by incorporating Multi-Criteria Decision-Making (MCDM) techniques.
The transcendency of some constants that occur as limits of sequences arising from polynomial iterations was established. This implies that some constants from Sloane's On-Line Encyclopedia of Integer Sequences are irrational (as known before) and transcendental.
INSTITUTE OF DATA SCIENCE AND DIGITAL TECHNOLOGIES
4 Akademijos, LT-08412 Vilnius
Tel. (+370) 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
Artificial Intelligence Laboratory
RESEARCH AREAS
• The integrated development of mathematics, informatics and information technologies for The Knowledge Society Advanced Products and Services
4 Akademijos, LT-08663 Vilnius
Tel. (+370) 219 3299
E-mail:
Head – Prof. Dr Remigijus Paulavičius
STAFF
Research professor: Prof. Dr R. Paulavičius.
Senior researchers: Dr E. Filatovas, Dr V. Medvedev, Dr F. J. Orts.
Researcher: Dr L. Stripinis.
Lecturer: Dr A. Igumenov.
Junior researcher: Mindaugas Juodis.
Doctoral students: S. Grigaitis, J. Arsenjeva, A. Budžys.
RESEARCH INTERESTS
• Blockchain technologies
• Global optimisation
• Optimisation software
• Multi-objective optimisation
• High-performance computing
• Artificial intelligence
• Image processing
• Big Data
• Quantum computing
RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Research and Development of Public, Private, and Consortium-Type Blockchain Systems. Prof. Dr R. Paulavičius. 2018–2023.
The project involved an investigation of the most popular and recent consensus algorithms, such as Proof of Work (PoW), Proof of Property (PoS), Proof of Authorship (PoA), Proof of Importance (PoI), Delegated Byzantium Fault Tolerance (dBFT), etc. A framework was created for selecting the most suitable consensus protocols depending on the identified criteria, priorities, and other requirements by incorporating Multi-Criteria Decision-Making (MCDM) techniques. Overview and empirical analysis of various metrics to evaluate the decentralisation of the blockchain were presented. New derivative-free optimisation software for operational research was created. The project also involved the investigation and application of Neural Architecture Search techniques for designing well-performing Convolutional Neural Networks for image segmentation and object recognition in satellite imagery. The project also aimed to develop fault-tolerant carry lookahead adders that improve the cost of quantum gates and qubits.
Main publications:
1. E. Filatovas, M. Marcozzi, L. Mostarda, R. Paulavičius (2022) A MCDM-based framework for blockchain consensus protocol selection. Expert Systems With Applications, 204, DOI: 10.1016/j.eswa.2022.117609
2. L. Stripinis, R. Paulavičius (2022) DIRECTGO: A new DIRECT-type MATLAB toolbox for derivative-free global optimization. ACM Transactions on Mathematical Software, p. 1-45, DOI: 10.1145/3559755.
3. L. Stripinis, R. Paulavičius (2022) An empirical study of various candidate selection and partitioning techniques in the DIRECT framework. Journal of Global Optimization, p. 1-31, DOI: 10.1007/s10898-022-01185-5.
4. F. Orts, G. Ortega, E. Filatovas, E.M. Garzón (2022). Implementation of three efficient 4-digit fault-tolerant quantum carry lookahead adders. The Journal of Supercomputing, p. 1-19, DOI: 10.1007/s11227-022-04401-x.
National Research Projects
Resolving Research Reproducibility Problems in Artificial Intelligence Using Blockchain Technologies. (No. P-MIP-21-196). The Research Council of Lithuania. Dr E. Filatovas. 2021–2024.
Today, various Artificial Intelligence techniques have solved most real-world challenging decision problems (image analysis, voice and face recognition, planning, scheduling, routing, etc.). However, Artificial Intelligence research domains (as well as other research fields) face a Reproducibility Crisis. Researchers need help reproducing many key results due to the disconnection between publications and the codes used, the underlying data, parameter settings, etc., as they lack critical details. Solutions that improve code accessibility, data provenance tracking, research transparency, auditing of obtained results, and trust in Artificial Intelligence domains can significantly accelerate algorithm and model development, validation, and transition into real-world applications. Thanks to the features provided by Blockchain Technology, significant progress in resolving the Reproducibility Crisis and full reproducibility can be achieved.
In this context, the project's main objective is to contribute to resolving research reproducibility problems in the Artificial Intelligence field and enhance the research cycle by developing a conceptual model of a blockchain-based decentralised platform, which would be efficient, scalable, interoperable, and adaptable in various Artificial Intelligence research domains.
Main publications:
1. F. Orts, G. Ortega, E. Filatovas, E.M. Garzón (2022). Implementation of three efficient 4-digit fault-tolerant quantum carry lookahead adders. The Journal of Supercomputing, p. 1-19, DOI: 10.1007/s11227-022-04401-x.
2. E. Filatovas, M. Marcozzi, L. Mostarda, R. Paulavičius (2022) A MCDM-based framework for blockchain consensus protocol selection. Expert Systems With Applications, 204, DOI: 10.1016/j.eswa.2022.117609
International Research Projects
High-Performance Computing to Optimise Intensity Modulated Radiotherapy Schedules. (UAL18-TIC-A020-B). Supported by the Andalusian Board, Spain. E. Filatovas represented the Lithuanian partner in the project. 2019–2022.
MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
Imperial College London (UK)
Universidad de Almería (Spain)
Cardiff University (UK)
Systems Research Institute, Polish Academy of Sciences (Poland)
The Kharkiv National University of Radio Electronics, Computer Science Faculty (Ukraine)
Octeract Optimisation Intelligence (UK)
OTHER SCIENTIFIC ACTIVITIES
Dr R. Paulavičius
• member of the Young Academy of the Lithuanian Academy of Sciences;
• member of the Artificial Intelligence and Digital Transformation working group of the Arqus University Alliance;
• topic editor of Mathematics;
• affiliate member of the European Network of Excellence on High Performance and Embedded Architecture and Compilation (HiPEAC), www.hipeac.net;
• member of the Lithuanian Computer Society (LIKS);
Dr E. Filatovas
• member of the International Society on Multiple Criteria Decision Making (MCDM);
• member of the Lithuanian Computer Society (LIKS);
• member of Program/Scientific Committees:
○ BLOCKCHAIN'22: 4th International Congress on Blockchain and Applications
• Reviewer in the following scientific journals:
o Expert systems with Applications
o IEEE Transactions on Systems, Man and Cybernetics: Systems
o Journal of Supercomputing
o Informatica
Dr V. Medvedev
• member of Lithuanian Computer Society, http://www.liks.lt/;
• member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/;
• member of Program/Scientific Committees:
○ program committee member of the International Workshop on Secure Mobile Cloud Computing (IWoSeMC-20, IWoSeMC-2022), http://iwosemc.eu/.
○ organizing committee member of the Conference on Data Analysis Methods for Software Systems (DAMSS), Druskininkai, Lithuania, https://www.mii.lt/damss
Dr F. J. Orts
• https://hpca.ual.es/~forts/
Dr L. Stripinis
• project researcher in National Research Project (P-MIP-21-196)
• Reviewer in the following scientific journals:
o Journal of Global Optimization
o Engineering Optimization
o Mathematics
Dr A. Igumenov
• member of Lithuanian Computer Society, http://www.liks.lt/.
4 Akademijos, LT-08663 Vilnius
Tel. (+370) 210 9300
E-mail:
Head – Prof. Habil. Dr Gintautas Dzemyda
STAFF
Principal researchers: Prof. Habil. Dr G. Dzemyda, Prof. Dr A. Jakaitienė, Prof. Dr O. Kurasova, Prof. Dr Audris Mockus
Principal researchers of projects: Dr R. Dukynaitė, Dr G. Dzemydaitė, Dr G. A. Melnik-Leroy, Dr S. Raižienė, Prof. habil. Dr Želvys.
Researchers: Dr R. Karbauskaitė, Dr G. A. Melnik-Leroy, Dr A. Usovaitė, Dr M. Sabaliauskas, Dr D. Stumbrienė.
Junior researchers: A. Šubonienė, V. Tiešis, J. Vaitekaitis.
Professors: Prof. Dr Dučinskas, Prof. Habil. Dr G. Dzemyda, Prof. Dr O. Kurasova.
Assistants: Dr M. Sabaliauskas, Dr D. Stumbrienė, Dr L. Ringienė.
Junior assistants: Dr I. Katin, Ž. Vaišnoras.
Other staff: R. Gipiškis, L. Mikalauskienė, V. Palkevič, Dr L. Ringienė, Dr M. Sabaliauskas, V. Tiešis.
Doctoral students: D. Breskuvienė, V. Bulavas, R. Gipiškis, P. Gudžius, M. Karaliutė, G. Krasauskas, N. Kondrat, M. Motiejauskas, I. Pocė, R. Puronaitė, Ž. Vaišnoras, R. Vaišnorė.
RESEARCH INTERESTS
• Artificial neural networks
• Big data
• Bioinformatics
• Data mining
• Deep learning
• Global optimisation methods
• Multi-objective optimisation
• Image analysis, feature detection, image reconstruction, medical image processing
• Internet data mining
• Fractal dimensionality
• Local optimisation 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
• Visualisation of multidimensional data
• Web service development
• Psychology in multiple criteria decisions
RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Developing Cognitive Computing Capabilities for Data Visualisation, Image Analysis and Decision-Making. Prof. Dr (HP) G. Dzemyda, Prof. Dr O. Kurasova. 2020–2022.
Main publications:
1. Stumbrienė, Dovilė; Jakaitienė, Audronė; Želvys, Rimantas; Žilinskas, Julius; Dukynaitė, Rita. Efficiency and effectiveness analysis based on educational inclusion and fairness of European countries // Socio-economic planning sciences. New York : Elsevier. ISSN 0038-0121. eISSN 1873-6041. 2022, vol. 8, part. B, art. no. 101293, p. [1-17]. DOI: 10.1016/j.seps.2022.101293. [DB: Scopus; Science Citation Index Expanded (Web of Science)]. https://doi.org/10.1016/j.seps.2022.101293
2. Daranda, A., Dzemyda, G. (2023). Reinforcement learning strategies for vessel navigation. Integrated Computer Aided Engineering, vol. 30, no. 1, pp. 53-66, 2023, DOI: https://doi.org/10.3233/ICA-220688. Published: 15 August 2022 (Web of Science). DOI: https://doi.org/10.3233/ICA-220688
3. Dzemyda, Gintautas; Sabaliauskas, Martynas. Geometric multidimensional scaling: efficient approach for data dimensionality reduction // Journal of global optimization. Dordrecht : Springer Nature. ISSN 0925-5001. eISSN 1573-2916. 2022, first published online, p. [1-25]. DOI: 10.1007/s10898-022-01190-8. [DB: Scopus; Science Citation Index Expanded. https://doi.org/10.1007/s10898-022-01190-8
4. Melnik-Leroy, Gerda Ana; Bernatavičienė, Jolita; Korvel, Gražina; Navickas, Gediminas; Tamulevičius, Gintautas; Treigys, Povilas. An overview of Lithuanian intonation: a linguistic and modelling perspective // Informatica. Vilnius : Vilniaus universiteto leidykla. ISSN 0868-4952. eISSN 1822-8844. 2022, first published online, p. [1-38]. DOI: 10.15388/22-INFOR502. [DB: Scopus; Science Citation Index Expanded (Web of Science)]. https://doi.org/10.15388/22-INFOR502
National Research Projects
Geometric Method for Solving the Problem of Multidimensional Scaling. (No. MSF-LMT-4). The Research Council of Lithuania. Prof. Dr (HP) G. Dzemyda. 2019–2022.
The main goal of the project is to consider the stress function and multidimensional scaling, in general, from the geometric point of view and to develop the so-called Geometric MDS that creates the basis for a new class of algorithms to minimise the MDS stress. The new interpretation of the stress allows the proper step size to be found, and the descent direction forwards the minimum of the stress function analytically if we consider and move a separate point of the projected space.
Main publications:
1. Dzemyda, Gintautas; Sabaliauskas, Martynas. Geometric multidimensional scaling: efficient approach for data dimensionality reduction // Journal of global optimization. Dordrecht : Springer Nature. ISSN 0925-5001. eISSN 1573-2916. 2022, first published online, p. [1-25]. DOI: 10.1007/s10898-022-01190-8. [DB: Scopus; Science Citation Index Expanded (Web of Science)]
2. Dzemyda, Gintautas; Sabaliauskas, Martynas; Medvedev, Viktor. Geometric MDS performance for large data dimensionality reduction and visualization // Informatica. Vilnius : Vilniaus universiteto leidykla. ISSN 0868-4952. eISSN 1822-8844. 2022, vol. 33, no. 2, p. 299-320. DOI: 10.15388/22-INFOR491. [DB: Scopus; Science Citation Index Expanded (Web of Science)]
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). The 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 and to develop effectiveness and efficiency measuring instruments in order to implement sound evidence-based educational policy.The focus of the analysis was on two types of centralised national examinations (the 10th-grade tests and the Matura examination) that have been carried out in Lithuania for two decades. The purpose of the research is to analyse the assessments of mathematics and the Lithuanian language and literature for the entire Lithuanian secondary school population that do not have sampling errors while considering the factors of location, school ownership, and gender as important indicators when judging educational effectiveness in terms of quality and equity. We analyse the results of the 10th-grade tests for the 2011–2015 period and the results of the same cohorts participating in the Matura examination. The conclusions drawn from national assessment data are somewhat different from international data; thus, one cannot neglect national information for the development of educational policy. The variables analysed in the analysis have limited predictive power for achievements in both mathematics and the Lithuanian language and literature, and further analysis is required.
Main publications:
1. Stumbrienė, Dovilė; Jakaitienė, Audronė; Želvys, Rimantas; Žilinskas, Julius; Dukynaitė, Rita. Efficiency and effectiveness analysis based on educational inclusion and fairness of European countries // Socio-economic planning sciences. New York : Elsevier. ISSN 0038-0121. eISSN 1873-6041. 2022, vol. 8, part. B, art. no. 101293, p. [1-17]. DOI: 10.1016/j.seps.2022.101293.
2. Jakaitienė, Audronė; Želvys, Rimantas; Raižienė, Saulė; Dukynaitė, Rita; Stumbrienė, Dovilė; Vaitekaitis, Jogaila; Ringienė, Laura; Žilinskas, Julius; Žilinskas, Antanas. (Ne)išmatuojamas švietimo efektyvumas ir našumas. Vilnius : Vilniaus universiteto leidykla, 2022. 538 p. ISBN 9786090707197. eISBN 9786090707203.
Correcting Misperceptions of COVID-19 Data: An Innovative E-platform CognitiveSTATS for Training the Statistical Intuitions of the General Public. (Grant No. 01.2.2-LMT-K-718-05-0042). The Research Council of Lithuania. Dr G. A. Melnik-Leroy. 2021/11–2023/09.
The objective of this project is to create a prototype of the innovative e-platform for statistical intuition training of the general public, CognitiveSTATS, which will help to correct misperceptions of COVID-19 data. In order to implement this project, two activities have been planned: 1. to carry out scientific research and experiments in order to identify the most important problems in COVID-19 data interpretation (statistical and/or cognitive) and the most effective ways of training statistical intuitions; 2. based on the results of this research, to develop and test a prototype of a statistical intuition training platform for the general public. The platform CognitiveSTATS will help people understand some crucial phenomena inherent to the pandemic situation (the spread of the infection, the effectiveness of safety measures and vaccines, the probability of getting infected, the economic consequences of the pandemic etc.). The project also aims to help members of the general public to evaluate data and information more critically, especially when spreading it in the public sphere, including sharing it on social media. In order to ensure the effectiveness and attractiveness of the platform, three innovative milestones will be used for its development: evidence from cognitive science, the principles of gamification, and visualisations of COVID-19 data. In this way, the project aims at educating society, training their skills, and as a consequence, significantly influencing the attitudes and behaviour of the public. The research carried out during the project, and the developed prototype of the e-platform will be presented in international-level scientific articles. Given that the project idea is adaptable to future pandemics or crisis situations and that population attitudes and behaviour are essential factors in managing any emergency situation, CognitiveSTATS has a long-term perspective and can be widely applied in a data-driven world.
MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
University of Almeria (Spain)
University College London (UK)
Bar-Ilan University (Israel)
University of Ferrara (Italy)
Southwestern University of Finance and Economics (China)
Belarus State University (Belorussia)
University of Calabria (Italy)
National Cancer Institute of Lithuania
Hospital of Lithuanian University of Health Sciences Kauno klinikos (Lithuania)
Maribor University (Slovenia)
Vilnius University Hospital Santaros Kinikos (Lithuania)
Ecole Normale Supérieure (France)
OTHER RESEARCH ACTIVITIES
Prof. Habil. Dr G. Dzemyda
• member of Lithuanian Academy of Science, http://lma.lt;
• recently elected as the head of Division of Technical Sciences of the Lithuanian Academy of Sciences;
• member of programme committees of the international conferences:
o The WorldCist'21 - 9th World Conference on Information Systems and Technologies;
o ESSE 2021, 2nd European Symposium on Software Engineering;
o IEEE INISTA 2021, International Conference on INnovations in Intelligent SysTems and Applications (INISTA);
o SENSORNETS 2021 : 10th International Conference on Sensor Networks;
• chairman of the 12th International Workshop Data Analysis Methods for Software Systems, Druskininkai, Lithuania, 2021, http://www.mii.lt/DatAMSS/;
• editor-in-Chief of
• Baltic Journal of Modern Computing http://www.lu.lv/baltic-journal-of-modern-computing/;
• International journal Informatica (IOSPress/VU), https://www.mii.lt/Informatica/;
• editorial board member of 8 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;
• member of IFIP Technical Committee 12 Artificial Intelligence; http://www.ifiptc12.org.uk/ifiptc12/members.php;
• member of Lithuanian Computer Society, http://www.liks.lt/;
• member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/;
• member of Lithuanian Operational Research Society, http://www.mii.lt/LitORS/ .
Prof. Dr O. Kurasova
• member of editorial boards of international journals:
o Nonlinear Analysis: Modelling and Control, http://www.mii.lt/NA/,
o Information Technology and Control, https://itc.ktu.lt/index.php/ITC/about/editorialTeam
o Baltic Journal of Modern Computing, http://www.lu.lv/baltic-journal-of-modern-computing/editorial-board/,
o Computational Science and Techniques, http://journals.ku.lt/index.php/CST/about/editorialTeam,
o Informatics, http://www.mdpi.com/journal/informatics;
• member of Association for Computing Machinery, https://www.acm.org/,
• member of IEEE, https://www.ieee.org,
• member of Association of European Operational Research Societies https://www.euro-online.org/
• member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/,
• member of Lithuanian Operational Research Society, http://www.mii.lt/LitORS/.
• Chairwoman of the doctoral committee of Informatics, Vilnius University.
• Member of the doctoral committee of Informatics Engineering, Vilnius University.
• Chairwoman of the doctoral committee of Informatics, Vilnius University.
• Member of the doctoral committee of Informatics Engineering, Vilnius University.
Prof. Dr A. Jakaitienė
• member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index.html;
• board member of Lithuanian Statistics Society, http://www.statistikusajunga.lt/;
• member of International Biometric Association, https://www.biometricsociety.org;
• country representative of International Biometric Association in Nord Baltic Region, http://ibsnbr.org;
• country representative at European Statistical Advisory Committee, https://ec.europa.eu/eurostat/web/european-statistical-advisory-committee-esac.
Dr R. Karbauskaitė
• managing editor of Informatica (IOSPress/VU), https://informatica.vu.lt/journal/INFORMATICA/information/INFORMATICA-Editorial
Prof. Dr K. Dučinskas
• board member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index.html;
• board member of Lithuanian Statistics Society, http://www.statistikusajunga.lt/;
• member of International Biometric Association, https://www.biometricsociety.org;
Dr G. A. Melnik-Leroy
• member of the Cognitive Science Society
• member of the programme committee of the international conference: New Sounds 2021
Doctoral student R. Puronaitė
• member of the International Society for Clinical Biostatistics, https://www.iscb.info/
CYBER-SOCIAL SYSTEMS ENGINEERING GROUP
4 Akademijos, LT-08663 Vilnius
Tel. (+370) 210 9306
E-mail:
www: https://www.mii.lt/en/structure/scientific-groups/cyber-social-systems-engineering-group
Head – Prof. Dr Saulius Gudas
STAFF
Professor: Prof. Dr Saulius Gudas.
Senior research fellow: Prof. Dr Dalė Dzemydienė (till 31.08.2022).
Research fellows: Dr Romas Alonderis, Assoc. Prof. Dr Audronė Lupeikienė, Dr Saulius Maskeliūnas.
Assistant professors: Dr Jolanta Miliauskaitė, Dr Asta Slotkienė.
Assistant research fellow: Laima Paliulionienė.
Affiliated researchers: Prof. Habil. Dr Stasys Jukna, Assoc. Prof. Habil. Dr Regimantas Pliuškevičius, Assoc. Prof. Dr Aida Pliuškevičienė.
Doctoral students: Karolis Noreika.
RESEARCH INTERESTS
• Causality-Driven Business Process Modelling and Enterprise Application Software (EAS) Engineering Methods:
o Foundations of causality-based enterprise software engineering;
o Integration of causal models in the MDA / MDD and Agile processes;
o Causal modelling of enterprise management activities and business processes;
o Model-based application development (MBD) methods for different types of domains (enterprises, the Internet of Things, smart systems, etc.);
• Mathematical logic:
o Automated deduction;
o Knowledge analysis methods;
o Deductive systems.
RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Research of Cyber-Social Systems and Development of Engineering Methods at the Intersection of Cyber-Physical and Cyber-Social Systems. Prof. Dr S. Gudas (leader), Dr R. Alonderis, Prof. Dr D. Dzemydienė, Assoc. Prof. Dr A. Lupeikienė, Dr S. Maskeliūnas, Dr J. Miliauskaitė, Dr A. Slotkienė, L. Paliulionienė, Affil. Assoc. Prof. Dr (HP) R. Pliuškevičius, Affil. Assoc. Prof. Dr A. Pliuškevičienė, Affil. Dr (HP) S. Jukna, doctoral (PhD) student K. Noreika. 2021–2023.
Main results obtained in 2022:
• Application of domain causality modelling (S. Gudas, K. Noreika, A. Lupeikienė):
A causal model of Agile project management using a management transaction (MT) concept was developed. The notion of the space of processes was used to identify the location of MTs along the axes of aggregation, generalisation, and time. A taxonomy of the coordination meta-types and types was developed using the identifiers of the MTs.
The direction of development of Enterprise Resource Planning (ERP) systems and Business Process Management Suites (BPMS) from the point of view of business requirements is determined for Industry 4.0 and Industry 5.0.
• Classes of sequents of linear discrete tense logic have been established. A backward proof-search of any sequent in any of the classes does not require global condition checks when the proof-search is performed using earlier obtained loop-type sequent calculus. (R. Alonderis, R. Pliuškevičius, A. Pliuškevičienė).
Main publications:
1. Gudas, Saulius.; Noreika, Karolis. Causal Interactions in Agile Application Development. Mathematics 2022, 10, 1497. https://doi.org/10.3390/math10091497 .
2. Szelągowski, Marek; Lupeikienė, Audronė; Berniak-Woźny, Justyna. Drivers and evolution paths of BPMS: state-of-the-art and future research directions // Informatica. Vilnius : Vilniaus universiteto leidykla. ISSN 0868-4952. eISSN 1822-8844. 2022, vol. 33, iss. 2, p. 399-420. DOI: 10.15388/22-INFOR487.
3. Alonderis, Romas; Pliuškevičius, Regimantas Ričardas; Pliuškevičienė, Aida; Giedra, Haroldas. Loop-check specification for a sequent calculus of temporal logic // Studia logica. Dordrecht : Springer. ISSN 0039-3215. eISSN 1572-8730. 2022, vol. 110, p. 1507-1536. DOI: 10.1007/s11225-022-10010-9.
MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
Riga Technical University (Latvia)
University of Tartu (Estonia)
Warsaw University of Technology (Poland)
Systems Research Institute Polish Academy of Sciences
University of Geneva (Switzerland)
University of Frankfurt (Germany)
OTHER SCIENTIFIC ACTIVITIES
Prof. Dr Saulius Gudas
• reviewer of the Baltic Journal of Modern Computing, http://www.bjmc.lu.lv/;
• reviewer of the journal Informatica, https://www.mii.lt/informatica/;
• reviewer of the journal Information Systems and e-Business Management, https://www.springer.com/journal/10257;
• member of the Technical Committee TK8 of the Lithuanian Standardization Department;
• IFIP TC8 Information Systems member;
• representative of the National Digital Coalition from LIKS;
• program committee member of the 15th International Baltic Conference on Digital Business and Intelligent Systems (Baltic DB&IS 2022), Riga, Latvia, 4–6 July 2022, https://dbis2022.lu.lv/about/organisation/;
• program committee member of the 27th International Conference on Information and Software Technologies, ICIST 2022, held in Kaunas, Lithuania, https://icist.ktu.edu/#Programme-Committee-members.
Prof. Dr Dalė Dzemydienė
• editorial board member of the Scientific Journal of Riga Technical University: Applied Computer Systems, https://acs-journals.rtu.lv/;
• editorial board member of the International Journal of Electronic Security and Digital Forensics, https://www.inderscience.com/jhome.php?jcode=ijesdf;
• editorial board member of the International Journal of Strategic Property Management, https://journals.vgtu.lt/index.php/IJSPM/editorialboard.
• program committee member of the 15th International Baltic Conference on Digital Business and Intelligent Systems (Baltic DB&IS 2022), Riga, Latvia, 4–6 July 2022, https://dbis2022.lu.lv/about/organisation/;
• member of the Council of the Lithuanian Computer Society (LIKS);
• head of the Section of Legal Informatics at the Lithuanian Computer Society (LIKS);
• member of the Council of the Lithuanian Operation Reasearch Society, https://www.mii.lt/litors/index.php?page,council.en;
• member of the European Artificial Intelligence Association;
• member of the European Operation Research Association.
Assoc. Prof. Dr Audronė Lupeikienė
• editorial board member of the Scientific Journal of Riga Technical University: Applied Computer Systems, https://acs-journals.rtu.lv/;
• steering committee and program committee member of the 15th International Baltic Conference on Digital Business and Intelligent Systems (Baltic DB&IS 2022), https://dbis2022.lu.lv/about/organisation/;
• program committee member of the 14th International Conference on Agents and Artificial Intelligence (ICAART 2022), http://www.icaart.org/.
Dr Saulius Maskeliūnas
• chairman of the Council of the Lithuanian Computer Society https://www.liks.lt/en/contacts/;
• head of the Technical Committee TK4 “Information technology” of the Lithuanian Standards Board LST;
• member of the Rules of Participation (RoP) working group of the European Open Science Cloud (EOSC), https://www.eoscsecretariat.eu/working-groups/rules-participation-working-group;
• Lithuania representative at the International Federation for Information Processing (IFIP) https://ifip.org/index.php?option=com_content&task=view&id=125&Itemid=441&ref=25
• International AIQT Foundation Advisory Board member (in Artificial Intelligence) https://www.inaiqt.com/about/foundation-advisory-board/
• member of the Ministry of Transport and Communications project "Development of New Generation Internet Access Infrastructure (RAIN-3)" Steering Committee;
• program committee member of the 15th International Baltic Conference on Digital Business and Intelligent Systems (Baltic DB&IS 2022), https://dbis2022.lu.lv/about/organisation/;
• member of the State Commission of the Lithuanian Language Sub-Commission of Language Technologies.
Dr Jolanta Miliauskaitė
• reviewer of the Baltic Journal of Modern Computing, http://www.bjmc.lu.lv/;
• reviewer of the journal Informatica, https://www.mii.lt/informatica/
• scientific committee member of ICNAE 2022 (1st International Conference on New Approaches in Engineering)
• member of the Council of the Lithuanian Computer Society (LIKS).
Laima Paliulionienė
• organizing committee member of the 13th International Workshop on Data Analysis Methods for Software Systems (DAMSS), Druskininkai, Lithuania, December 1–3, 2022, https://www.mii.lt/damss/index.php/organizers.
Prof. Habil. Dr Stasys Jukna
• scientific board member of the Electronic Colloquium on Computational Complexity (ECCC), http://eccc.hpi-web.de/colloquium/scientific_board/;
• editorial board member of the Lithuanian Mathematical Journal, https://www.mii.lt/en/lithuanian-mathematical-journal#editorial-board.
Assoc. Prof. Habil. Dr Remigijus Pliuškevičius
• editorial board member of the Lithuanian Mathematical Journal, https://www.mii.lt/en/lithuanian-mathematical-journal#editorial-board.
Assoc. Prof. Dr Asta Slotkienė
• reviewer of the journal Informatica, https://www.mii.lt/informatica
• program committee member of the 38th ACM/SIGAPP Symposium on Applied Computing, technical track on Intelligent Systems for Digital Era (ISDE) https://ati.ttu.ee/sac-isde/
4 Akademijos st., LT-08663 Vilnius
Tel. (+370) 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 T. Jevsikova
Research fellows: Dr V. Dolgopolovas, Dr A. Juškevičienė, Dr G. Stupurienė
Doctoral students: V. Masiulionytė-Dagienė, T. Šiaulys
Affiliated senior research fellows: Assoc. Prof. Dr G. Grigas, Dr L. Markauskaitė.
RESEARCH INTERESTS
• Application of intelligent technologies in education
• Computer science (Informatics) education research
• Computing engineering education research
• Software localisation
• Technology-enhanced learning
RESEARCH THEME FOR 2021-2023:
Research on Educational Environments and Technologies to Improve the Quality of Education. Prof. Dr V. Dagienė, 2021–2023.
The main objective of the project is to study the problems of designing, integrating, and personalising interactive educational environments and technologies in education.
Main publications:
1. Dagienė, Valentina; Dolgopolovas, Vladimiras. Short tasks for scaffolding computational thinking by the global Bebras challenge // Mathematics. Basel : MDPI. eISSN 2227-7390. 2022, vol. 10, iss. 17, art. no. 3194, p. [1-30]. [Scopus; Science Citation Index Expanded (Web of Science)] [Indėlis: 1,000] [Citav. rod.: IF: 2,592; AIF: 1,291; kvartilis: Q1 (2021, Clarivate JCR SCIE)] [Citav. rod.: CiteScore: 2,90; SNIP: 1,162; SJR: 0,538; kvartilis: Q1 (2021, Scopus Sources)] [M.kr.: T 007]
2. Dagienė, Valentina; Jevsikova, Tatjana; Stupurienė, Gabrielė; Juškevičienė, Anita. Teaching computational thinking in primary schools: Worldwide trends and teachers’ attitudes // Computer science and information systems. Novi Sad : University of Novi Sad. ISSN 1820-0214. eISSN 2406-1018. 2022, vol. 19, iss. 1, p. 1-24. [INSPEC; Scopus; Science Citation Index Expanded (Web of Science)] [Indėlis: 1,000] [Citav. rod.: IF: 1,170; AIF: 3,559; kvartilis: Q4 (2021, Clarivate JCR SCIE)] [Citav. rod.: CiteScore: 1,90; SNIP: 0,562; SJR: 0,350; kvartilis: Q3 (2021, Scopus Sources)] [M.kr.: N 009,T 007]
3. Dolgopolovas, Vladimiras; Dagienė, Valentina. On semiotics perspectives of computational thinking: unravelling the “pamphlet” approach, a case study // Sustainability. Basel : MDPI. eISSN 2071-1050. 2022, vol. 14, no. 4, art no. 1956, p. [1-19]. [Scopus; Science Citation Index Expanded (Web of Science)] [Indėlis: 1,000] [Citav. rod.: IF: 3,889; AIF: 4,719; kvartilis: Q2 (2021, Clarivate JCR SSCI); IF: 3,889; AIF: 6,732; kvartilis: Q2 (2021, Clarivate JCR SCIE)] [Citav. rod.: CiteScore: 5,00; SNIP: 1,310; SJR: 0,664; kvartilis: Q1 (2021, Scopus Sources)] [M.kr.: T 007]
4. Stupurienė, Gabrielė; Jevsikova, Tatjana; Juškevičienė, Anita. Solving ecological problems through physical computing to ensure gender balance in STEM education // Sustainability. Basel : MDPI. eISSN 2071-1050. 2022, vol. 14, iss. 9, art. no. 4924, p. [1-16]. [GEOBASE (Elsevier); GeoRef; Scopus; Social Sciences Citation Index (Web of Science); Science Citation Index Expanded (Web of Science)] [Indėlis: 0,332] [Citav. rod.: IF: 3,889; AIF: 4,719; kvartilis: Q2 (2021, Clarivate JCR SSCI); IF: 3,889; AIF: 6,732; kvartilis: Q2 (2021, Clarivate JCR SCIE)] [Citav. rod.: CiteScore: 5,00; SNIP: 1,310; SJR: 0,664; kvartilis: Q1 (2021, Scopus Sources)] [M.kr.: S 007,T 007]
International Research Projects
European Network for Gender Balance in Informatics. COST: EUGAIN - CA19122. 2020-2024 m. (Dr V. Dagienė, Dr Anita Juškevičienė)
MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
Ankara University (Turkey)
ETH Zurich (Switzerland)
KTH Royal Institute (Sweden)
Lancaster University (UK)
Radboud University Nijmegen (The Netherlands)
Tallinn University (Estonia)
Turku University (Finland)
OTHER RESEARCH ACTIVITIES
Prof. Dr V. Dagienė
• editor-in-Chief of the journal Informatics in Education, https://infedu.vu.lt/journal/INFEDU (Clarivate Analytics Web of Science Core Collection; Scopus; etc.);
• editor-in-Chief of the journal Olympiads in Informatics (Scopus, etc), https://ioinformatics.org/page/ioi-journal-editorial-board/2;
• area editor (Computing Didactics) of the Baltic Journal of Modern Computing, https://www.bjmc.lu.lv (Clarivate Analytics Web of Science Core Collection; Scopus; etc.);
• editorial board member of the journals: International Journal of Digital Literacy and Digital Competence; International Journal of Instruction; Acta Paedaogica Vilnensia;
• 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);
• chair of the Bebras Board (International Challenge on Informatics and Computational Thinking): https://www.bebras.org/?q=community.
Dr V. Dolgopolovas
• member of European AI Alliance https://futurium.ec.europa.eu/en/european-ai-alliance
• member of USERN: Universal Scientific Education and Research Network: https://usern.tums.ac.ir/
Dr A. Juškevičienė
• member for methodological group of EU co-funded project No. 01.1.1-CPVA-V-701-15-0001 „Development of Vilnius STEAM Center” activity „Preparation of the Methodological Part of STEAM Center activities: Development of Laboratory Descriptors and Integrated Methodologies for Robotics and Mobile Technology and Visual Programming Laboratory”, http://steamlt.lt/
Dr T. Jevsikova
• member of International Federation for Information Processing (IFIP) TC3 WG 3.1 (Informatics for Secondary Education).
• member for methodological group of EU co-funded project No. 01.1.1-CPVA-V-701-15-0001 „Development of Vilnius STEAM Center” activity „Preparation of the Methodological Part of STEAM Center activities: Development of Laboratory Descriptors and Integrated Methodologies for Robotics and Mobile Technology and Visual Programming Laboratory”, http://steamlt.lt/
Dr G. Stupurienė
• Executive Editor of the journal Informatics in Education, https://infedu.vu.lt/journal/INFEDU (Clarivate Analytics Web of Science Core Collection; Scopus; etc.).
• member of the Lithuanian Computer Society (LIKS);
• member of the European Commission's “SELFIE for TEACHERS” network of experts.
MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES
1. Valentina Dagienė, Gabrielė Stupurienė, and Tatjana Jevsikova have organised the International Challenge on Informatics and Computational Thinking at the ‘Bebras’ Contest. They create, translate, and test tasks, as well as develop methodological materials for teachers.
2. In cooperation with the Institute of Educational Sciences, Valentina Dagienė and Gabrielė Stupurienė organised the 12th International Doctoral Consortium – the School of Engineering Education Research in Druskininkai, December 6-10, 2022.
3. The international journal 'Informatics in Education' had a Scopus citation index of 4.0 (in 2021) and WoS Journal Citation Indicator of 1.23 (preliminary rating).
4 Akademijos st., LT-08663 Vilnius
Tel. (+370) 210 9304
E-mail:
Head – Prof. Dr Julius Žilinskas
STAFF
Principal research fellows: Prof. Dr J. Žilinskas, Prof. Habil. Dr A. Žilinskas.
Senior research fellows: Assoc. Prof. Dr A. Lančinskas, Assoc. Prof. Dr R. Pupeikis.
Doctoral students: S. Tautvaišas, M. Kepalas.
RESEARCH INTERESTS
• Optimisation and high-performance computing
RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Global Optimisation. Prof. Dr J. Žilinskas.
The project aims to develop the development of global optimisation algorithms and the application of them to optimisation problems.
The main results were: global optimisation algorithms with constraints; heuristic algorithms for facility location problems; Bayesian global optimisation; linear convolution computations online optimisation algorithm.
Main publications:
1. P. Fernández, A. Lančinskas, B. Pelegrín, J. Žilinskas (2022). A discrete competitive facility location model with proportional and binary rules sequentially applied. Optimization Letters. DOI:10.1007/s11590-022-01938-x.
2. S. Tautvaišas, J. Žilinskas (2022). Scalable Bayesian optimization with generalized product of experts. Journal of global optimization. DOI:10.1007/s10898-022-01236-x.
3. D. Stumbrienė, A. Jakaitienė, R. Želvys, J. Žilinskas, R. Dukynaitė (2022). Efficiency and effectiveness analysis based on educational inclusion and fairness of European countries. Socio-economic planning sciences. vol. 8, part. B, art. no. 101293, p. [1-17]. DOI:10.1016/j.seps.2022.101293.
National Research Projects
Creation and Development of Optimisation Algorithms for Facility Location with Uncertainty in Customer Behaviour. LMT MIP proposal. Main proposer: A. Lančinskas.
International Research Projects
Randomised Optimisation Algorithms Research Network. COST action proposal. Secondary proposer: A. Lančinskas
The European Network for Data-Driven Decision Making. COST action proposal. Secondary proposer: J. Žilinskas
MAIN RESEARCH ACHIEVEMENTS IN 2022
Heuristic algorithms for facility location problems.
Bayesian global optimisation.
Linear convolution computations real-time optimisation algorithm.
MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
Universidad de Almería (Spain)
Universidad de Murcia (Spain)
Universidad de La Laguna (Spain)
Universidad de Malaga (Spain)
Universidade de Coimbra (Portugal)
University of Edinburgh (UK)
Università della Calabria (Italy)
Università degli Studi di Cassino e del Lazio Meridionale (Italy)
Cardiff University (UK)
New Jersey Institute of Technology (USA)
OTHER RESEARCH ACTIVITIES
Prof. Dr J. Žilinskas
• member of editorial boards of international journals:
o Computational Management Science (Springer, https://www.springer.com/journal/10287/editors),
o Computer Science (AGH, https://journals.agh.edu.pl/csci/about/editorialTeam),
Informatica (IOSPress/VU, https://informatica.vu.lt/journal/INFORMATICA/information/INFORMATICA-Editorial),
o Information Technology and Control (KTU, https://itc.ktu.lt/index.php/ITC/about/editorialTeam),
o Journal of Global Optimization (Springer, https://www.springer.com/journal/10898/editors),
o Mathematical Methods of Operations Research (Springer, https://www.springer.com/journal/186/editors),
o Mathematical Modelling and Analysis (VGTU, https://journals.vilniustech.lt/index.php/MMA/editorialboard),
o Open Computer Science (De Gruyter, https://www.degruyter.com/journal/key/comp/html#editorial),
o Open Engineering (De Gruyter, https://www.degruyter.com/journal/key/eng/html#editorial),
o Optimization Letters (Springer, https://www.springer.com/journal/11590/editors),
o Operations Research Forum (Springer Nature, https://www.springer.com/journal/43069/editors).
• member of board of Lithuanian Operational Research Society (member society of EURO and IFORS), head of working group Optimization Methods and Applications, http://www.mii.lt/LitORS/;
• member of European Network of Excellence on High Performance and Embedded Architecture and Compilation (HiPEAC), http://www.hipeac.net;
• member of Program/Scientific Committees:
o LION16: 16th Learning and Intelligent OptimizatioN Conference, Cyclades, Greece, June 5-10, 2022.
Prof. Habil. Dr A. Žilinskas
• member of IFIP working group WG 7.6 Optimization-Based Computer Aided Modeling and Design, http://www.ifip.org/bulletin/bulltcs/memtc07.htm;
• member of American Mathematical Society, http://www.ams.org/cml;
• member of programme committees of International conferences;
• member of editorial boards of international journals:
o Journal of Global Optimization (Springer), http://www.springer.com/business+%26+management/operations+research/journal/10898?detailsPage=editorialBoard,
o Informatica (IOSPress/VU), http://www.mii.lt/Informatica/editors.htm,
o Control and Cybernetics, control.ibspan.waw.pl:3000/mainpage,
o Statistics, Optimization and Information Computing, www.iapress.org/index.php/soic
o Journal of Intelligent Learning Systems and Applications, http://www.scirp.org/journal/jilsa/,
o International Journal of Grid and High Performance Computing, http://www.igi-global.com/Bookstore/TitleDetails.aspx?TitleId=1105&DetailsType=ReviewBoard
o The Open Cybernetics and Systemics Journal, http://www.bentham.org/open/tocsj/EBM.htm,
o Baltic Journal of Modern Computing; http://www.bjmc.lu.lv/editorial-board/ .
• member of the Lithuanian Academy of Sciences, http://lma.lt http://lma.lt/index.php?option=com_k2&view=item&layout=item&id=235&Itemid=243&lang=lt.
Dr A. Lančinskas
• affiliate member of European Network of Excellence on High Performance and Embedded Architecture and Compilation (HiPEAC), http://www.hipeac.net
• reviewer of journals:
o Optimization Letters
o Baltic Journal of Modern Computing
Assoc. Prof. Dr R. Pupeikis
• member of Lithuanian Computer Society, http://www.liks.lt;
• member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/;
• reviewer of the journal:
o International Journal of Adaptive Control and Signal Processing, https://onlinelibrary.wiley.com/journal/10991115
IMAGE AND SIGNAL ANALYSIS GROUP
4 Akademijos st., LT-08663 Vilnius
Tel. (+370) 210 9328
E-mail:
Head – Assoc. Prof. Dr Povilas Treigys
STAFF
Principal researchers: Prof., Dr Povilas Treigys, Dr G. Korvel
Senior research fellows: Assoc., Prof. Dr G. Korvel, Assoc. Prof., Dr G. Tamulevičius, Dr Jolita Bernatavičienė
Affiliated research fellows: Prof. Habil. Dr K. Kazlauskas
Projects specialist: G. Navickas
Doctoral students: B. Čiapas, J. Jucevičius, S. Virbukaitė, M. Danilovaitė, R. Jurkus, A. Vaitulevičius, R. Surkant
Study staff: L. Aidokas, A. Rasmusson, J. Globienė, M. Liutvinavičius, G. Navickas
RESEARCH INTERESTS
• Audio and image signal processing;
• pattern recognition;
• robotics;
• machine learning;
• natural language processing;
• machine learning.
RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Digital signal analysis and modelling.
Tasks in 2023:
• Increase the accuracy of marine traffic anomaly detection algorithms
• Investigate the impact of interclass distance on the multiclass classification problem
• Develop autoencoder-based models combining functional data analysis methods for cancerous prostate region detection
• Investigate the impact of interpolation techniques on the segmentation results for the optic nerve disc and excavation using deep neural networks.
• Investigate the Lombard effect for speech intelligibility improvement.
• Conduct analysis and modelling of pathological voices.
• Investigate automatic speech recognition for Human-Robot interaction.
• Investigate and develop new synthesised speech quality evaluation methods.
Main results:
• Participated in the competition 'The transport theme of students' final theses in the competition'. The winner of the prize place, on the topic of water transport, entitled 'Study of LSTM deep neural networks for predicting ship progress using big traffic data', Ministry of Communications, Vilnius, Lithuania.
• Investigated retail Self-checkout image classification performance: similar class grouping or individual class classification approach.
• Overviewed the analysis of intonation modelling.
• Investigated noise interference on speech towards applying the Lombard effect automatically.
• Prepared manuscript on a critical review of acoustic analysis-based voice pathology detection.
• Investigated cognitive approach methods for synthesised speech quality evaluation. Cognitive experiments with blind and sighted people.
• Enhanced speech and audio signals.
• Investigated the impact of COVID-19-related lockdown measures on economic and social outcomes in Lithuania, conducted an analysis of the occupancy of office buildings, and made predictions associated with the impact of the COVID-19 pandemic.
Main publications:
1. Markevičiūtė, Jurgita; Bernatavičienė, Jolita; Levulienė, Rūta; Medvedev, Viktor; Treigys, Povilas; Venskus, Julius. Impact of COVID-19-related lockdown measures on economic and social outcomes in Lithuania // Mathematics. Basel : MPDI. eISSN 2227-7390. 2022, vol. 10, no. 15, art. no. 2734, p. [1-20].
2. Motuzienė, Violeta; Bielskus, Jonas; Lapinskienė, Vilūnė; Rynkun, Genrika; Bernatavičienė, Jolita. Office buildings occupancy analysis and prediction associated with the impact of the COVID-19 pandemic // Sustainable cities and society. Amsterdam : Elsevier Ltd. ISSN 2210-6707. eISSN 2210-6715. 2022, vol. 77, art. no. 103557, p. 1-12.
3. Melnik-Leroy, Gerda Ana; Bernatavičienė, Jolita; Korvel, Gražina; Navickas, Gediminas; Tamulevičius, Gintautas; Treigys, Povilas. An Overview of Lithuanian Intonation: A Linguistic and Modelling Perspective // Informatica 2022. (accepted)
4. Korvel, Gražina; Kąkol, Krzysztof; Treigys, Povilas; Kostek, Bożena. Investigating noise interference on speech towards applying the Lombard effect automatically // ISMIS 2022: Foundations of intelligent systems: International symposium on methodologies for intelligent systems / Ceci, M., Flesca, S., Masciari, E., Manco, G., Raś, Z.W. (eds). Cham, 2022. ISBN 9783031165634. eISBN 9783031165641. p. 399-406. (Lecture Notes in Computer Science, ISSN 0302-9743, eISSN 1611-3349 ; vol 13515). DOI: 10.1007/978-3-031-16564-1_38
National Research Projects
Creating a database of depersonalised eye fundus images (Nuasmenintų akių dugnų vaizdų bazės kūrimas). (Approval No.158200-18/11-1057-572). Vilnius Region Biomedical Research Committee. Project duration 11/2018–10/2030.
Investigating speech in the presence of noise interferences employing signal processing and machine learning methods. Postdoctoral Project. 2021/07–2023/07.
International Research Projects
HPC, HPDA and Artificial Intelligence (AI) (Project Reference: 951732). European Union Horizon 2020 (H2020). National Competence Centres in the framework of EuroHPC. Project duration 2020/9/1–2022/8/31.
Within the EuroCC project under the European Union's Horizon 2020 programme (H2020), participating countries are tasked with establishing a single National Competence Centre (NCC) in the area of high-performance computing (HPC) in their respective countries. These NCCs will coordinate activities in all HPC-related fields at the national level and serve as a contact point for customers from industry, science, (future) HPC experts, and the general public alike. The EuroCC project is funded 50 per cent through H2020 (EuroHPC Joint Undertaking [JU]) and 50 per cent through national funding programs within the partner countries. The EuroCC activities—with 33 member and associated countries on board—is coordinated by the High-Performance Computing Center Stuttgart (HLRS). The project aims to elevate the participating countries to a common high level in the fields of HPC, HPDA and Artificial Intelligence (AI). To this end, the EuroCC project will establish National Competence Centres (NCCs) in the participating countries, which will be responsible for surveying and documenting the core HPC, HPDA, and AI activities and competencies in their respective countries. Ultimately, the goal is to make HPC available to different users from science, industry, public administration, and society.
Multi3Generation: Multi-task, Multilingual, Multi-modal Language Generation. COST action CA18231. Member of Managing Committee: Dr G. Korvel. 2019-2023
Language generation (LG) is a crucial technology if machines are to communicate with humans seamlessly using natural human language. A great number of different tasks within Natural Language Processing (NLP) are language generation tasks, and being able to effectively perform these tasks implies (1) that machines are equipped with world knowledge that can require multi-modal processing and reasoning (e.g. textual, visual and auditory inputs, or sensory data streams), and (2) the study of strong, novel Machine Learning (ML) methods (e.g. structured prediction, generative models) since virtually all state-of-the-art NLP models are learned from data. Moreover, human languages can differ wildly in their surface realisation (i.e. scripts) as well as their internal structure (i.e. grammar), which suggests that multilinguality is a central goal if machines are to perform seamless language generation. Language generation technologies would greatly benefit both public and private services offered to EU citizens in a multilingual Europe and have strong economic and societal impacts.
Universality, Diversity, and Idiosyncrasy in Language Technology (Unidive). COST action CA21167. Member of Managing Committee: Dr G. Korvel, 2022-2026.
Efficient access to the constantly growing quantities of data, especially language data, largely relies on advances in data science. This domain includes natural language processing (NLP), which is currently booming to the benefit of many end-users. However, this optimisation-based technological progress poses an important challenge: accounting for and fostering language diversity. The UniDive Action takes two original stances on this challenge. Firstly, it aims to embrace both inter- and intra-language diversity, i.e. a diversity understood both in terms of the differences among the existing languages and of the variety of linguistic phenomena exhibited within a language. Secondly, UniDive does not assume that linguistic diversity is to be protected against technological progress but strives for both of these aims jointly, to their mutual benefit. Its approach is to (i) pursue NLP-applicable universality of terminologies and methodologies, (ii) quantify inter- and intra-linguistic diversity, and (iii) boost and coordinate universality- and diversity-driven development of language resources and tools. UniDive builds upon the previous experience of European networks and projects that provided a proof of concept for language modelling and processing unified across many languages but preserving their diversity. The main benefits of the Action will include, on the theoretical side, a better understanding of language universals and, on the practical side, language resources and tools covering, in a unified framework, a bigger variety of language phenomena in a large number of languages, including low-resourced and endangered ones.
Main results:
• Feature space analysis for machine-based recognition.
• Machine learning algorithms for multiscale data analysis.
• Machine learning methods for language generation.
• Efficient deployment of fractal theory to industrial applications.
MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
• Hospital Kauno klinikos of Lithuanian University of Health Sciences (Lithuania)
• MB ‘Sauliaus Vaitkaus ausų, nosies, gerklės ligų klinika’ (Lithuania)
• Forensic Science Centre of Lithuania (Lithuania)
• Vilnius University Hospital Santaros klinikos (Lithuania)
• National Cancer Institute (Lithuania)
• Brno University of Technology (Czech Republic)
• Gdansk University of Technology, Faculty of Electronics, Telecommunications and Informatics, Audio Acoustics Laboratory
• Aveiro University, Portugal
• Konstantinos Diamantaras, Department of Information and Electronic Engineering, International Hellenic University, Greece
• Elena Lloret, Department of Software and Computing Systems, University of Alicante, Alicante, Spain
• Justino Laurenco, Porto, ISPGAYA Portugal
OTHER RESEARCH ACTIVITIES
Prof. Dr P. Treigys
• reviewer of the journals:
o Informatica, http://www.mii.lt/informatica;
o Modelling and Control Journal, http://www.mii.lt/NA;
o Nonlinear Analysis
o Baltic Journal of Modern Computing
o MDPI Senesors
o MDPI Electronics
Prof. Habil. Dr K. Kazlauskas
• member of Lithuanian Computer Society, http://www.liks.lt;
• member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/;
• reviewer of international journals:
o IEEE Trans. On Signal Processing;
o IEEE Trans. On Circuits and Systems;
o Informatica;
o Information Technology and Control.
Assoc. Prof. Dr G. Tamulevičius
• reviewer for the international journals:
o Informatica, http://www.mii.lt/Informatica/;
o Baltic Journal of Modern Computing, www.lu.lv/baltic-journal-of-modern-computing;
o Nonlinear Analysis: Modelling and Control Journal, http://www.mii.lt/NA;
o IEEE Access, IEEE Access.
o Neurocomputing https://www.journals.elsevier.com/neurocomputing
o IEEE Journal of Biomedical and Health Informatics https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6221020
o International Journal of Applied Mathematics and Computer Sciences https://www.amcs.uz.zgora.pl/
• Senior member of IEEE Computer Society, Signal Processing Society, and Computational Intelligence Society sections. Vice-chair of the IEEE Lithuania Section Computer Society section.
Dr G. Korvel
• member of Lithuanian Computer Society, http://www.liks.lt;
• member of Lithuanian Society of Young Researchers. http://www.ljms.lt/;
• member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/
• Member of INSTICC (the Institute for Systems and Technologies of Information, Control and Communication), https://portal.insticc.org/ editorial board member:
• A member of editorial board of The Journal of Intelligent Information Systems reviewer of international journals:
• Journal of the Audio Engineering Society www.aes.org/journal;
• Archives of Acoustics acoustics.ippt.gov.pl;
• Metrology and Measurement Systems http://www.metrology.pg.gda.pl;
• Journal of Intelligent Information Systems https://link.springer.com/journal/10844;
• Information Technology and Control http://itc.ktu.lt;
• Informatica www.mii.lt/informatica;
• Pattern Recognition Letters www.journals.elsevier.com/speech-communicat;
• Speech Communication www.journals.elsevier.com/speech-communication;
• Symmetry https://www.mdpi.com/journal/symmetry
• Applied Sciences https://www.mdpi.com/journal/applsci
• Electronics https://www.mdpi.com/journal/electronics
Dr J. Bernatavičienė
• Managing Co-editor of Baltic Journal of Modern Computing, http://www.bjmc.lu.lv/editorial-board/;
• Member of Lithuanian Computer Society (Artificial Intelligence Section), 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/;
• reviewer of international journals:
o Informatica (IOSPress/VU),
o Baltic Journal of Modern Computing
o Sensors
o Applied Sciences
o Journal of Marine Science and Engineering
G. Navickas
• member of Lithuanian Computer Society, http://www.liks.lt;
• member of IEEE http://www.ieee.org .
INTELLIGENT TECHNOLOGIES RESEARCH GROUP
4 Akademijos st., LT-08663 Vilnius.
Tel. (+370 5) 210 9311
E-mail:
Head – Dr Virginijus Marcinkevičius
STAFF
Senior researchers: Prof. Dr Virginijus Marcinkevičius, Prof. Dr Darius Plikynas, Prof. Dr Igoris Belovas.
Affiliated researchers: Prof. Habil. Dr Leonidas Sakalauskas, Dr Stasys Steišūnas,
Junior Assistants: Aivaras Bielskis
Profesors: Prof. Dr Virginijus Marcinkevičius , Dr Igoris Belovas.
Doctoral students: Aivaras Bielskis , Chaževskas Andrius, Dulskis Vytautas, Gricius Rolandas, Ieva Rizgelienė, Brendonas Stakauskas, Urbonaitė Neringa, Vaitkevičius Paulius.
Other staff: Lukas Kuzma
RESEARCH INTERESTS
• Machine learning and its applications.
• Artificial intelligence and its applications.
• Natural language processing.
• Cyber security.
• Mathematical modelling.
• Image analysis.
• Data mining and visualisation.
• Application of modelling, classification, and clustering methods in medicine (e.g. in genetics) and economics.
• Optimisation. Application of stochastic optimisation methods in engineering.
• Multi-agent systems: simulation and application in social research.
RESEARCH PROJECTS CARRIED OUT IN 2022
National Research Projects
Publications:
1. Plikynas D, Miliauskas A, Laužikas R, Dulskis V, Sakalauskas L. The cultural impact on social cohesion: an agent-based modeling approach. Quality & Quantity. 2022 Jan 21:1-32. [Q1; IF=3.65] 0.85 https://doi.org/10.1007/s11135-021-01293-6
2. Belovas, I., Sabaliauskas, M., Kuzma, L. (2022) Series with binomial-like coefficients for the investigation of fractal structures associated with the Riemann zeta function // Fractal and fractional, 6(6:300), 1-21. [Q1; IF=3,577] 1 https://doi.org/10.3390/fractalfract6060300
3. Belovas, I. (2022). Central limit theorems for combinatorial numbers associated with Laguerre polynomials. Mathematics, 10 (6:865). [Q1; IF=2.592]https://doi.org/10.3390/math10060865
4. Belovas, I. (2022). Series with binomial-like coefficients for the Riemann zeta function. Annali Di Matematica Pura Ed Applicata, 201, p. 903–912. [Q2; IF=0.986] https://doi.org/10.1007/s10231-021-01142-1
5. Belovas, I. (2022). Central and local limit theorems for the weighted Delannoy numbers. Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica, 30(2), 25-44. [Q3; IF=0.886] https://www.anstuocmath.ro/mathematics/anale2022v2/2_Belovas_Igoris.pdf
6. Belovas, I., Sakalauskas, L. Starikovičius, V. (2022). A method for accelerated computation of the Riemann zeta function on the complex plane. Publicationes Mathematicae Debrecen, 100(1-2), 167–184. [Q2; IF=0.810] https://doi.org/10.5486/PMD.2022.9120
MAIN R&D&I (RESEARCH, DEVELOPMENT AND INOVATION) PARTNERS
SAP (Germany)
Neurotechnology (Lithuania)
University of Tartu (Estonia)
Vilnius Gediminas Technical University (Lithuania)
Ghent University (Belgium)
Warsaw University of Technology (Poland)
Lithuanian Culture Research Institute (Lithuania)
OTHER SCIENTIFIC ACTIVITIES
Prof. L. Sakalauskas
• Editorial board member of Journal Technological and Economic Development of Economy http://www.tandf.co.uk/journals/journal.asp?issn=2029-4913&linktype=145
• Elected member of International Statistical Institute (2001) http://isi-web.org;
• Member of European Working Group on Continuous Optimization http://www.iam.metu.edu.tr/EUROPT
• Member of European Working Group on Stochastic Optimisation http://www.mii.lt/EWGSO
• Member of European Working Group on Civil Engineering and Sustainable Development http://http://www.orsdce.vgtu.lt
• President of Lithuanian Operational Research Society, http://www.mii.lt/LitORS
• Chair of Lithuanian Conference on Operations Research and Application in Business and Technics http://www.mii.lt/OT-2016.
• Reviewer of international journals:
o Annals of Operation Research (Springer)
o European Journal of Operational Research (Elsevier)
o Informatica (IOSPress/VU)
o Central European Journal of Operational Research (Springer),
o Information Technology and Control (KTU),
o International Transactions on Operational Research (Wiley&Sons)
o Methodology and Computing in Applied Probability (Springer)
o Technological and Economic Development of Economy (Francis&Taylor)
Prof. D. Plikynas
• Reviewer in
o Computational and Mathematical Organization Theory (Springer)
o Entropy (MDPI)
o PeerJ
o Economics (VU)
o Information Technology and Control (KTU)
• Member of
o Artificial Intelligence section of Lithuanian Computer Society (LIKS-AIS)
o ESSA (European Social Simulation Association)
o ECCAI (European Coordinating Committee for Artificial Intelligence)
Prof. Dr I. Belovas
• Member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/
• Member of editorial board of Lietuvos Matematikos Rinkinys journal
Prof. Dr V. Marcinkevičius
• Member of Council of Lithuanian Computer Society, http://www.liks.lt/en/modules/tinycontent/index.php?id=3
• Member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/
• Member of Lithuanian Operational Research Society, http://www.mii.lt/LitORS/
• Member of European Working Group on Stochastic Optimisation http://www.mii.lt/EWGSO
• Reviewer of international journal Informatica (IOSPress/VU)
• Member of editorial board of journal Applied Computer Systems
• Member of IST-141-RTG on Exploratory Visual Analytics group
• Substitute in COST action Statistical and machine learning techniques in human microbiome studies.
STATISTICS AND PROBABILITY GROUP
4 Akademijos st., LT-08663 Vilnius
Tel. (+370) 210 9731
E-mail
Head – Prof. Habil. Dr Kęstutis Kubilius
STAFF
Principal research fellows: Prof. Habil. Dr K. Kubilius, Dr (HP) S. Norvidas.
Professor: Prof. Habil. Dr M. Sapagovas (emeritus).
Senior research fellows: Dr D. E. Otera, Dr M., Dr M. Vaičiulis.
Research fellows: Dr A. Astrauskas, Dr A. Čiginas, Dr V. Kurauskas,
Dr J. Novickij.
Affiliated research fellows: Dr J. J. Mačys, Prof. Dr R. Mikulevičius, Prof. Habil. Dr R. Rudzkis, Prof. Habil. Dr J. K. Sunklodas.
Doctoral students: A. Medžiūnas
RESEARCH INTERESTS
• Statistical inference for long memory processes
• Heavy tails
• Self-similar processes
• Rough paths
• Finite population statistics and statistical analysis of data
• Differential equations with an integral boundary condition
• Random graphs
• Combinatorics
• Discrete mathematics
• Algebraic geometry
RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Analysis and Application of Probabilistic and Deterministic Models. Prof. Dr (HP) K. Kubilius. 2020–2022.
A review was conducted of several topological handedness conditions at infinity of finitely defined groups related to the concept of geometric simple connectivity, with particular attention to the concept of the simplicial resolvent developed by V. Poenaru (under the title' inverse representation'). The generalisation of existing results correlating with some of these properties is provided.
The stability of the alternating direction method for wave equation with integral boundary conditions in an energy norm is considered. The proof of the stability is based on the properties of eigenvalues and eigenvectors of the corresponding difference operators.
A backwards approximation scheme is constructed for one-dimensional stochastic differential equations driven by a stochastic process with Holder continuous paths. This approximation scheme demonstrates a higher convergence rate than previous schemes by other authors in the field.
Main publications:
1. Otera, Daniele Ettore. On simplicial resolutions of groups // Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. Milan : Springer. ISSN 1578-7303. eISSN 1579-1505. 2022, vol. 116, no. 3, art. no. 138, p. [1-17]. DOI: 10.1007/s13398-022-01283-9
2. Sapagovas, Mifodijus; Novickij, Jurij. Alternating direction method for the wave equation with integral boundary conditions // Applied numerical mathematics. Amsterdam : Elsevier B.V. ISSN 0168-9274. eISSN 1873-5460. 2022, vol. 182, p. [1-13]. DOI: 10.1016/j.apnum.2022.07.017.
3. Kubilius, Kęstutis; Medžiūnas, Aidas. Pathwise convergent approximation for the fractional SDEs // Mathematics. Basel : MDPI. eISSN 2227-7390. 2022, vol. 10, iss. 4, art. no. 669, p. [1-16]. DOI: 10.3390/math10040669.
OTHER RESEARCH ACTIVITIES
Prof. K. Kubilius
• co-editor-in-Chief of the Modern Stochastics: Theory and Applications, https://www.i-journals.org/vtxpp/VMSTA/ ;
• editorial board member of the Lithuanian Mathematical Journal, http://www.springer.com/mathematics/journal/10986?detailsPage=editorialBoard;
• editorial board member of the Mathematical Modelling and Analysis, http://inga.vgtu.lt/~mma/ .
Prof. S. Norvidas
• editorial board member of the Lithuanian Mathematical Journal, http://www.springer.com/mathematics/journal/10986?detailsPage=editorialBoard.
Prof. Emeritus M. Sapagovas
• editorial board member of the Lithuanian Mathematical Journal, http://www.springer.com/mathematics/journal/10986?detailsPage=editorialBoard;
• editorial board member of the journal Nonlinear Analysis: Modelling and Control, https://www.mii.lt/NA/;
• editorial board member of the journal Informatica, https://www.mii.lt/Informatica/;
• editorial board member of the Mathematical Modelling and Analysis, http://inga.vgtu.lt/~mma/ .
ARTIFICIAL INTELLIGENCE LABORATORY
4 Akademijos st., LT-08663 Vilnius.
Tel. (+370 5) 210 9311
E-mail:
Head – Dr Virginijus Marcinkevičius
STAFF
Senior researchers: Dr Virginijus Marcinkevičius.
Junior researcher: Dr Jūratė Vaičiulytė, Linas Aidokas
Other staff: Neringa Urbonaitė
Doctoral students: Shubham Juneja, Vytautas Paura, Mantas Briliauskas.
RESEARCH INTERESTS
• Advance machine learning in process automatisation.
• Natural language processing.
• Image processing and analysis with deep neural networks.
• Visual odometry and localisation.
RESEARCH PROJECTS CARRIED OUT IN 2022
National Research Projects
The main goal is to investigate machine and imitational learning usage for robot navigation and localisation in real environments. Research is conducted on natural language processing applications in human-machine interfaces.
Main results:
1. Lasy, Ilya; Marcinkevičius, Virginijus. Dialogue system augmented with commonsense knowledge // Vilnius University Open Series: Konferencijos „Lietuvos magistrantų informatikos ir IT tyrimai“ darbai", 2022 m. gegužės 16 d. Vilnius : Vilniaus universiteto leidykla, 2022. eISBN 9786090707425. eISSN 2669-0535. p. 68-76. DOI: 10.15388/LMITT.2022.7.
2. Chaževskas, Andrius; Belovas, Igoris; Marcinkevičius, Virginijus. Markov, probabilistic and rule-based password quessing methods: survey and comparison // Kriminalistika ir teismo ekspertologija: mokslas, studijos, praktika XVIII / Criminalistics and forensic expertology: science, studies, expertology: science, studies, practice : recenzuojamų mokslinių straipsnių rinkinys. Vilnius : Lietuvos eismo ekspertizės centras. ISSN 2783-7068. 2022, p. 114-123.
MAIN R&D&I (RESEARCH, DEVELOPMENT AND INOVATION) PARTNERS
SAP (Germany)
Neurotechnology (Lithuania)
OTHER SCIENTIFIC ACTIVITIES
Dr V. Marcinkevičius
• Member of Council of Lithuanian Computer Society, http://www.liks.lt/en/modules/tinycontent/index.php?id=3
• Member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/
• Member of Lithuanian Operational Research Society, http://www.mii.lt/LitORS/
• Member of European Working Group on Stochastic Optimisation http://www.mii.lt/EWGSO
• Reviewer of international journal Informatica (IOSPress/VU)
• Member of editorial board of journal Applied Computer Systems
• Member of IST-141-RTG on Exploratory Visual Analytics group
• Substitute in COST action Statistical and machine learning techniques in human microbiome studies.
47 Didlaukio st., LT-08303 Vilnius
Tel. 219 5040
E-mail:
www: https://mif.vu.lt/lt3/en/about/structure/institute-of-computer-science
Director – Prof. Dr Rimantas Vaicekauskas
DEPARTMENTS AND LABORATORIES OF THE INSTITUTE
Department of Computational and Data Modeling
Department of Computer Science
Department of Mathematical Computer Science
Department of Software Engineering
Cybersecurity Laboratory
RESEARCH AREAS
• Informatics
• Informatics engineering
• Fundamental mathematics
• Applied mathematics
BEST REPORTS DELIVERED AT CONFERENCES ABROAD
J. M. Menjanahary and R. Krasauskas, Dupin cyclide spline surfaces of arbitrary topology, The 10th International Conference on Curves and Surfaces, June 20-24, 2022, Arcachon, France.
MAIN SCIENTIFIC ACHIEVEMENTS IN 2022
It was shown that the algorithm based on convolutional neural networks not only enables the detection of damage to biological membranes but also predicts the electrochemical response (computed by the finite element method) of these membranes.
An efficient TKHC algorithm was proposed and investigated to augment the privacy and safety of shared images.
Formal foundations and tool support were developed for the formal analysis and automated, scalable safety verification of railway signalling programs. The method and automated framework (called SafeCap) have been successfully applied by railway companies in the UK.
An application of formal verification (using the proof assistant Isabelle/HOL) for ensuring the correctness of scientific data processing software in the crystallographic domain was presented.
The two-term Edgeworth expansion for the distribution of a general asymptotically linear statistic under minimal smoothness conditions was established.
DEPARTMENT OF COMPUTATIONAL AND DATA MODELING
47 Didlaukio st., LT-08303 Vilnius
Tel. 219 5025
E-mail: ,
Head – Assoc. Prof. Dr Rimvydas Krasauskas
STAFF
Professors: Habil. Dr Emeritus F. Ivanauskas, Dr A. Juozapavičius (part-time), Dr T. Meškauskas.
Associate professors: Dr A. Brilingaitė, Dr L. Bukauskas, Dr P. Kasparaitis, Dr R. Krasauskas, Dr V. Rapševičius (part-time), Dr S. Zubė.
Researchers: (snr. r.) Dr Simonas Šaltenis, Dr A. Barauskas, Dr V. Čeikutė
Assistant professors: Dr R. Astrauskas, Dr M. Beniušė, Dr A. Čivilis (part-time), Dr J. Katina, Dr A. V. Misiukas Misiūnas (part-time).
Teaching assistants: T. Raila (part-time), J. M. Menjanahary.
Lecturers: Dr J. Ignatavičiūtė, L. Būtėnas (part-time), V. Krinickij, E. Kutka (part-time), V. Masiulionytė-Dagienė (part-time), G. Šamrickis (part-time), B. Šulmanas (part-time).
Partnership associate professors: T. G. Lipnevičius (part-time), R. Markauskas (part-time).
Doctoral students: M. Mūžas, T. Raila (part-time).
RESEARCH INTERESTS
• Methods and applications of nonlinear computational modelling and geometric modelling.
• Methods of computer vision, medical imaging, digital imaging, speech and signal processing, data structures and algorithms.
• Computational modelling of chemical, electrochemical, medical, and biological processes and systems.
• Internet technology and information systems.
• Location-based services and database management systems.
• Algorithms for intelligent transport.
• Computer networks.
• Cloud and parallel computing, virtualisation.
• Education in Computer Science.
RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Research and application of methods for computational and geometric modelling, images, signals, and database analysis. Dr T. Meškauskas, Dr R. Krasauskas. 2019 – 2023.
It was shown that the algorithm based on convolutional neural networks not only enables the detection of damage to biological membranes but also predicts the electrochemical response (computed by the finite element method) of these membranes.
The deep neural network speech synthesis package 'Merlin' was ported from the Python programming language into C.
Cyclide surfaces and 3d volumes with applications to spline constructions were investigated.
A deep learning model to predict electric-vehicle energy consumption was developed and tested on real-world datasets.
Main publications:
1. Raila, Tomas; Penkauskas, Tadas; Ambrulevičius, Filipas; Jankunec, Marija; Meškauskas, Tadas; Valinčius, Gintaras. AI‐based atomic force microscopy image analysis allows to predict electrochemical impedance spectra of defects in tethered bilayer membranes, Scientific reports. Berlin: Nature research. ISSN 2045-2322. 2022, vol. 12, art. no. 1127, p. 1-11. DOI: 10.1038/s41598-022-04853-4.
2. Juozapavičius, Aušrius; Brilingaitė, Agnė; Bukauskas, Linas; Lugo, Ricardo Gregorio. Age and gender impact on password hygiene, Applied sciences: Special issue: State-of-the-art of cybersecurity. Basel: MDPI. eISSN 2076-3417. 2022, vol. 12, iss. 2, art. no. 894, p. [1-15]. DOI: 10.3390/app12020894.
3. Mahmoud E., Hodeish; Bukauskas, Linas; Vikas T., Humbe. A new efficient TKHC-based image sharing scheme over unsecured channel, Journal of King Saud University - Computer and information sciences. Amsterdam: Elsevier. ISSN 1319-1578. eISSN 2213-1248. 2022, vol. 34, no. 4, p. 1246-1262. DOI: 10.1016/j.jksuci.2019.08.004.
National Research Projects
Quantitative Assessment of Membrane Damage by Pore-Forming Toxins (No. LMT S-MIP-19-33). The Research Council of Lithuania. Project leader: Dr G. Valinčius, Life Sciences Center, Vilnius University/ Dr T. Meškauskas and T. Raila. 2019–2022.
AFM (Atomic Force Microscopy) images of tethered bilayer membranes were processed applying machine learning type techniques, and tools to assess the type of distribution of clustered defects were developed.
Data Management and Algorithms for Smart Transportation (No. 01.2.2-LMT-K-718-02-0018). The Research Council of Lithuania. Project leader: Dr S. Šaltenis. Project researchers: Dr A. Brilingaitė, Dr L. Bukauskas, Dr A. Čivilis, Dr A. Barauskas, Dr V. Čeikutė, E. Kutka, V. Krinickij. 2019–2023.
The data model of charge-arrival-time profiles and a testbed was proposed to capture long electric vehicle routes and compare travel plans for trips with charging stops. Deep learning model to predict electric-vehicle energy consumption was developed and tested on real-world datasets.
International Research Projects
Leading Nordforsk (EOSC-Nordic project funded by H2020). EU Horizon 2020. Dr A. Brilingaitė, Dr L. Bukauskas, and E. Kutka. 2019–2022.
The European open science cloud infrastructure as a service was investigated and considered within the local legal context.
GRAPES – learning, processing and optimising shapes (No. 860843). Funding scheme (H2020-MSCA-ITN-2019). EU Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Actions – Innovative Training Networks (ITN). Project coordinator: Prof. I. Emiris, ATHENA RIC, Greece, Dr R. Krasauskas, and Dr S. Zubė, 2019–2023.
This is a multidisciplinary consortium uniting 17 academic institutions and industrial partners all around Europe. The VU team is developing cyclidic splines of arbitrary topology based on circular meshes. Exchanges consisting of 3-month secondments for doctoral (PhD) students were arranged with Johannes Kepler University (Austria).
MAIN R&D&I (RESEARCH, DEVELOPMENT AND INOVATION) PARTNERS
Aalborg University (Denmark)
CERN (Switzerland)
Financial Crime Investigation Service (Lithuania)
ART21, JSC (Lithuania)
OTHER SCIENTIFIC ACTIVITIES
Prof. Emeritus F. Ivanauskas
• Deputy Chairman of the Division of Mathematical, Physical and Chemical Sciences of the Lithuanian Academy of Sciences, http://www.lma.lt/struktura-2 ;
• Member of the Lithuanian Academy of Sciences, http://www.lma.lt/members-of-the-academy ;
• President of the Lithuanian Association of Nonlinear Phenomena Researchers, http://www.lma.lt/struktura-2 ;
• President of the Council of Vilnius University professor’s emeritus club http://naujienos.vu.lt/isteigtas-vilniaus-universiteto-profesoriu-emeritu-klubas ;
• Honorary Editor of the journal Nonlinear Analysis: Modelling and Control, https://www.journals.vu.lt/nonlinear-analysis/about/editorialTeam ;
• Editorial board member of the Lithuanian Mathematical Journal, http://www.springer.com/mathematics/journal/10986?detailsPage=editorialBoard ;
• Editorial board member of the journal Mathematical Modelling and Analysis, https://journals.vgtu.lt/index.php/MMA/editorialboard
Prof. A. Juozapavičius
• Editorial board member of the journal Nonlinear Analysis: Modeling and Control, https://www.journals.vu.lt/nonlinear-analysis/about/editorialTeam
Assoc. Prof. A. Brilingaitė
• Member of Association for Computing Machinery (ACM), https://services.acm.org/public/vcard/vcard.cfm?handle=abrilingaite ;
Assoc. Prof. L. Bukauskas
• Board member of Technical Committee No. 86 for Digital geographic information at the Department of Standardization.
Assoc. Prof. R. Krasauskas
• Editorial board member of the journal Lithuanian Mathematical Journal, http://www.springer.com/mathematics/journal/10986?detailsPage=editorialBoard
Dr S. Šaltenis
• Program committee member (vision track), 30th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems (ACM SIGSPATIAL 2022), https://sigspatial2022.sigspatial.org/pc/
BEST REPORTS DELIVERED AT CONFERENCES ABROAD
J. M. Menjanahary and R. Krasauskas, Dupin cyclide spline surfaces of arbitrary topology, The 10th International Conference on Curves and Surfaces, June 20-24, 2022, Arcachon, France.
DEPARTMENT OF COMPUTER SCIENCE
47 Didlaukio st., LT- 08303 Vilnius
Tel. 219 5001
E-mail:
Head- Prof. Dr Rimantas Vaicekauskas
STAFF
Professors: Dr R. Vaicekauskas, Dr L. Laibinis (part-time), Dr A. Raudys (part-time).
Research fellow: Dr L. Laibinis (part-time).
Senior research fellow: Habil. Dr Š. Raudys.
Assistants: Dr J. Andrikonis, Dr A. Birštunas, Dr V. Dičiūnas, Dr H. Giedra, Dr L. Litvinas, Dr G. Skersys.
Partnership professors: Dr D. Baronas (part- time), Dr R. Kybartas (part-time).
Associate partnership professors: S. Grigaitis (part- time), A. Janeliūnas (part-time), R. Masiulis (part-time), L. Ričkus (part-time).
Lecturers: S. Blažiūnas (part-time), Dr R. Dzindzalieta (part-time), M. Grubliauskis (part- time), K. Mizara (part-time), I. Radavičius.
RESEARCH INTERESTS
• Formal modelling and verification of distributed software-based systems
• Quantitative assessment of complex computer-based systems
• Automated formal reasoning about system correctness using interactive proof assistants
• Combinatorial search in large number theory problems
• Colour rendering of light sources and its applications
• Global optimisation of multi-objective functions
• Computational modelling and the optimisation of bioreactors
• Qualified electronic signature and applications
• Error-correcting codes
• Computational intelligence and machine learning
• Financial data analysis using computational intelligence methods
• Temporal and modal logic
• Buridan's divided modal propositions
• Neural networks, pattern recognition
RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Development of Intelligence Methods and its Applications in Information Technologies. Prof. R. Vaicekauskas, Dr L. Laibinis, Dr Aistis Raudys, 2021–2025.
Formal foundations and support tools for the formal analysis and automated, scalable safety verification of railway signalling programs were developed. The method and automated framework (called SafeCap) have been successfully applied by railway companies in the UK.
An application for formal verification (using the proof assistant Isabelle/HOL) to ensure the correctness of scientific data processing software in the crystallographic domain was presented.
Molecular and bioinformatical analysis revealed the impact of a novel donor splice site variant in the SLC9A6 gene that leads to truncated and functionally disrupted protein causing the phenotype of CS in the affected individuals.
A proof theory of the sequent calculus of temporal logic was developed, providing loop check specification in backward proof search and proving that any loop consists of only cyclic sequents. A class of sequents was presented for which a backward proof search does not require a loop check.
A representation of Buridan's divided modal propositions that relies on the use of actualist quantification over variable domains was suggested. The formulas adequately capture the truth conditions given by Buridan, and they preserve all relations of the octagon, as well as permissible conversions in modal S5.
Detrended financial time series were researched.
A multi-objective optimisation algorithm of global search with a local refinement was proposed and investigated. The global search algorithm mimics the Bayesian multi-objective optimisation algorithm. A version of the Hooke–Jeeves algorithm is adapted for the local refinement of the approximation of the Pareto front.
Main publications:
1. Iliasov, Alexei; Taylor, Dominic; Laibinis, Linas; Romanovsky, Alexander. Practical verification of railway signalling programs, IEEE Transactions on Dependable and Secure Computing. Los Alamitos, CA: Institute of Electrical and Electronics Engineers Inc. ISSN 1545-5971. eISSN 1941-0018. 2022, first on line, p. [1-13]. DOI: 10.1109/TDSC.2022.3141555.
2. Petrauskas, Karolis; Merkys, Andrius; Vaitkus, Antanas; Laibinis, Linas; Gražulis, Saulius. Proving the correctness of the algorithm for building a crystallographic space group, Journal of applied crystallography. Chester: International Union of Crystallography. ISSN 0021-8898. eISSN 1600-5767. 2022, vol. 55, no. 3, p. 515-525. DOI: 10.1107/S1600576722003107.
3. Raudys, Šarūnas; Raudys, Aistis; Pabarškaite, Židrina; Liubavičiūtė, Aušra. Immunology-Based Sustainable Portfolio Management, Sustainability 2022, 14(5), 2531; DOI: 10.3390/su14052531.
4. Litvinas, Linas. A hybrid of Bayesian-based global search with Hooke–Jeeves local refinement for multi-objective optimization problems, Nonlinear analysis: modelling and control. Vilnius : Vilniaus universiteto leidykla. ISSN 1392-5113. eISSN 2335-8963. 2022, vol. 27, no. 3, p. 534-555. DOI: 10.15388/namc.2022.27.26558.
5. Alonderis, Romas; Pliuškevičius, Regimantas Ričardas; Pliuškevičienė, Aida; Giedra, Haroldas. Loop-check specification for a sequent calculus of temporal logic, Studia logica. Dordrecht: Springer. ISSN 0039-3215. eISSN 1572-8730. 2022, first on line, p. [1-30]. DOI: 10.1007/s11225-022-10010-9.
6. Dagys, Jonas; Pabijutaitė, Živilė; Giedra, Haroldas. Representing Buridan’s divided modal propositions in first-order logic, History and philosophy of logic. Abingdon : Taylor & Francis. ISSN 0144-5340. eISSN 1464-5149. 2022, vol. 43, iss. 3, p. 264-274. DOI:10.1080/01445340.2021.1976042.
7. Petraitytė, Gunda; Mikštienė, Violeta; Siavrienė, Evelina; Cimbalistienė, Loreta; Maldžienė, Živilė; Rančelis, Tautvydas; Vaitėnienė, Evelina Marija; Ambrozaitytė, Laima; Dapkūnas, Justas; Dzindzalieta, Ramūnas; Pranckevičienė, Erinija; Kučinskas, Vaidutis; Utkus, Algirdas; Preikšaitienė, Eglė. Donor splice site variant in SLC9A6 causes Christianson syndrome in a Lithuanian family: a case report, Medicina. Kaunas; Basel: LSMU; MDPI AG. ISSN 1010-660X. eISSN 1648-9144. 2022, vol. 58, no. 3, art. no. 351, p. [1-11]. DOI: 10.3390/medicina58030351.
8. Raudys, Aistis; Goldstein, Edvinas. Forecasting Detrended Volatility Risk and Financial Price Series Using LSTM Neural Networks and XGBoost Regressor, Journal of Risk and Financial Management, 2022, 15(12), 602; DOI: 10.3390/jrfm15120602.
9. Iliasov, Alexei; Laibinis, Linas; Taylor, Dominic; Lopatkin, Ilya; Romanovsky, Alexander. Safety invariant verification that meets engineers’ expectations, Reliability, safety, and security of railway systems. Modelling, analysis, verification, and certification: 4th international conference, RSSRail 2022, Paris, France, June 1–2, 2022: proceedings, editors: Simon Collart-Dutilleul, Anne E. Haxthausen, Thierry Lecomte. Cham: Springer, 2022. ISBN 9783031058134. eISBN 9783031058141. p. 20-31. (Lecture Notes in Computer Science, ISSN 0302-9743, eISSN 1611-3349; vol. 13294). DOI: 10.1007/978-3-031-05814-1.
10. Kadzhaia, Volodymyr; Raudys, Aistis. Distributed machine learning for IoT, Vilnius University Open Series: Konferencijos „Lietuvos magistrantų informatikos ir IT tyrimai“ darbai". Vilnius University Press, 2022. eISBN 9786090707425. eISSN 2669-0535. p. 36-43. DOI: 10.15388/LMITT.2022.4.
National Research Projects
Development of Terminological Dictionary of Analytic Metaphysics Based on the Works of S. Kripke, D. Lewis, A. Plantinga and W. V. O. Quine (No. P-MIP-22-334). Project initiated by a group of scientists. Dr H. Giedra. 2022-2025
The aim of the project is to create a comprehensive and scientific terminological dictionary of the core terms, concepts, and controversies of one of the most important fields of contemporary analytic philosophy – analytic metaphysics, in that way constituting a firm ground for the development of analytic metaphysics in Lithuania.
Investigation of Traditional Logic of Modalities Using Modern Logic Theories and Information Technology. (No P-MIP-19-51). Project initiated by a group of scientists. Dr H. Giedra. 2019–2022.
A representation of Buridan's divided modal propositions was achieved in the research, which relies on the use of actualist quantification over variable domains. The formulas adequately capture the truth conditions given by Buridan, and they preserve all relations of the octagon, as well as permissible conversions in modal S5.
Contractual Research
Investigation on the Transfer of Predictive Models to Microcontrollers for Efficient Energy Utilisation of Small Solar Power Generators (‘Smulkių saulės elektrinių elektros gamintojų efektyvaus energijos panaudojimo valdiklio prognozavimo modelių perkėlimo į mikrokontrolerius tyrimai’) (01.2.1-MITA-T-851-05-0016). Contractual Project. Dr Aistis Raudys.
MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
Pattern recognition and Applications LAB, Department of Electrical and Electronic Engineering, University of Cagliari (Italy)
University of Granada (Spain)
Department of Economics and Finance, LUISS Guido Carli, Rome (Italy)
School of Computing, Newcastle University (UK)
Office of the Government of the Republic of Lithuania
Elsis PRO (a Novian company) -leading provider of software solutions for defense, airspace, healthcare domains.
The Formal Route Ltd (UK) - tool developer company for mathematical modelling and safety verification of railway signalling designs
OTHER SCIENTIFIC ACTIVITIES
Prof. Habil. Dr Š. Raudys
• editorial board member of the journal Informatica, https://informatica.vu.lt/journal/INFORMATICA/information/INFORMATICA-Editorial.
Prof. L. Laibinis
• program committee member of the International Workshop on Software Engineering for Resilient Systems (SERENE).
MOST IMPORTANT PARTICIPATION CASES OF RESEARCHERS IN WORKING GROUPS OR COMMISSIONS SET UP BY STATE AUTHORITIES, STATE AND MUNICIPAL INSTITUTIONS AND ORGANISATIONS, AND BUSINESS ENTITIES
Prof. R. Vaicekauskas
• member of EnergyTech Digital group 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.
MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES
Prof. R. Vaicekauskas
• Presentation at Vilnius university “Innoday 2022”: Artificial intelligence solutions for innovative business („Dirbtinio intelekto sprendimai inovatyviam verslui“), 2022-10-21.
DEPARTMENT OF MATHEMATICAL COMPUTER SCIENCE
47 Didlaukio st., LT-08303 Vilnius
Tel. 219 5030
Email:
Head – Assoc. Prof. Dr Gintautas Bareikis
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.
Research fellow: Dr G. Alkauskas.
Doctoral student: D. Ardickas.
RESEARCH INTERESTS
• Probabilistic analysis of number-theoretical structures
• Combinatorial statistics
• Random discrete structures and algorithms
RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Analysis of Discrete Structures by Probabilistic, Combinatorial and Analytical Methods. Prof. M. Bloznelis, Assoc. Prof. A. Mačiulis. 2017–2022.
Asymptotic degree distribution in the community-affiliation graph was established.
A first-order asymptotic for the cover time of a random intersection graph just above the connectivity threshold was shown.
The two-term Edgeworth expansion was established for the distribution of a general asymptotically linear statistic under minimal smoothness conditions.
An application of formal verification (using the proof assistant Isabelle/HOL) for ensuring the correctness of scientific data processing software in the crystallographic domain was presented.
The generalisation of Dante's terza rima (the sequence 121 232 343 etc., here Q=3) was investigated, and its canonical definition was found. It has been proved that the canonical Q-tine for odd integer Q is unique.
Main publications:
1. Bloznelis, Mindaugas; Karjalainen, Joona; Leskelä, Lasse. Assortativity and bidegree distributions on Bernoulli random graph superpositions, Probability in the engineering and informational sciences. New York: Cambridge University Press. ISSN 0269-9648. eISSN 1469-8951. 2022, vol. 36, iss. 4, p. 1188-1213. DOI: 10.1017/S0269964821000310.
2. Bloznelis, Mindaugas; Jaworski, Jerzy; Rybarczyk, Katarzyna. The cover time of a random walk in affiliation networks. IEEE transactions on information theory. Piscataway, NJ: IEEE. 2022, vol. 68, no. 9, p. 6134-6150, ISSN: 0018-9448, eISSN: 1557-9654, DOI: 10.1109/TIT.2022.3169775.
3. Bloznelis, Mindaugas; Götze, Friedrich. Edgeworth approximations for distributions of symmetric statistics, Probability theory and related fields. Heidelberg: Springer. ISSN 0178-8051. eISSN 1432-2064. 2022, vol. 183, iss. 3-4, p. 1153-1235. DOI: 10.1007/s00440-022-01144-x.
4. Petrauskas, Karolis; Merkys, Andrius; Vaitkus, Antanas; Laibinis, Linas; Gražulis, Saulius. Proving the correctness of the algorithm for building a crystallographic space group, Journal of applied crystallography. Chester: International Union of Crystallography. ISSN 0021-8898. eISSN 1600-5767. 2022, vol. 55, no. 3, p. 515-525. DOI: 10.1107/S1600576722003107.
5. Alkauskas, Giedrius. Matematika, kalba, poezija: sąveikos ir traukos = Mathematics, language, poetry: interactions and attractions, Acta Linguistica Lithuanica. Vilnius: Lietuvių kalbos institutas. ISSN 1648-4444. eISSN 2669-218X. 2022, no. 86, p. 227-257. DOI: 10.35321/all86-10.
MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
Aalto University (Finland)
Poznan Adam Mickiewicz university (Poland)
Bielefeld university (Germany)
OTHER RESEARCH ACTIVITIES
Dr G. Alkauskas
• member of the Lithuanian Mathematical Society, http://www.lmd.mif.vu.lt/;
• member of the American Mathematical Society, http://www.ams.org.
Assoc. Prof. G. Bareikis
• member of the Lithuanian Mathematical Society, http://www.lmd.mif.vu.lt/.
Prof. M. Bloznelis
• editorial board member of the Lithuanian Mathematical Journal, http://www.mii.lt/index.php?siteaction=pages.browse&page=lmj_an&lang=en ;
• member of the Lithuanian Mathematical Society, http://www.lmd.mif.vu.lt/.
Assoc. Prof. A. Mačiulis
• member of the Lithuanian Mathematical Society, http://www.lmd.mif.vu.lt/.
Assoc. Prof. V. Stakėnas
• member of the Lithuanian Mathematical Society, http://www.lmd.mif.vu.lt/;
• member of the American Mathematical Society, http://www.ams.org.
MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES
Dr G. Alkauskas
• TV program about Hermann Minkowski on Lithuanian national TV, two lessons for TV project "The school of creativity" (Lithuanian National Television).
• member of LATGA,;
• member of AGATA, .
DEPARTMENT OF SOFTWARE ENGINEERING
47 Didlaukio st., LT-08303 Vilnius
Tel. 219 5040
E-mail:
Head – Dr Linas Petkevičius
STAFF
Professor: Dr R. Baronas.
Partnership professors: Dr V. Ašeris (part-time), Dr E. Pakalnickas (part-time), Dr E. Pakalnickienė (part-time), Dr D. Sauliūnas (part-time), Dr A. Šermokas (part-time).
Associate professors: Dr S. Ragaišis, Dr S. Dapkūnas, Dr K. Lapin, Dr K. Petrauskas (part-time), Dr Valentas Gružauskas (part-time), Dr Ž. Ledas (part-time), Dr T. Ustinavičius (part-time), Dr V. Čyras.
Associate partnership professors: V. Pozdniakov (part-time), J. Matuzas (part-time), Dr V. Jusevičius (part-time), Dr G.Alzbutas (part-time).
Assistants: Dr V. Valaitis, Dr T. Plankis.
Junior Assistant: B. Dapkūnas (part-time).
Lecturers: S. Girdzijauskaite (part-time), D. Kimutis (part-time), L. Sakson (part-time), J. Ragaišis (part-time), G. Rimša (part-time), V. Savin (part-time), T. Smagurauskas (part-time), K. Uosis (part-time), Dr A. Vaitkevičienė (part-time), A. Jankus (part-time), D. Juostas (part-time), V. Lapin (part-time), D. Nikolajev (part-time), A. Šimkus (part-time), R. Žagūnienė (part-time), J. Žagūnas (part-time).
Postdoctoral researcher: D. Žilėnaitė-Petrulaitienė
Doctoral student: B.Dapkūnas.
RESEARCH INTERESTS
• Software process modelling, assessment, and improvement
• Security and usability in user experience design.
• Formal methods in software engineering for distributed systems
• Modelling and computational calculations
• Quantum computing algorithms
• Legal informatics and artificial intelligence
• Deep learning and its applications
RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Modelling of Computerised Systems and their Development Process. Assoc. Prof. K. Petrauskas. 2019–2022.
An application of formal verification (using the proof assistant Isabelle/HOL) for ensuring the correctness of scientific data processing software in the crystallographic domain was presented.
It was demonstrated that the combination of extrusion-fermentation treatment can be confirmed as a prospective functionalisation of CMB as feed/food stock capable of potentially reducing microbial contamination, enhancing its nutritional value, and improving technological properties of CMB albumins and globulins and digestibility and bioactivity of prolamins.
Long short-term memory (LSTM) and Transformer neural network models were developed and investigated for the classification of different conveyor belt conditions.
Main publications:
1. Petrauskas, Karolis; Merkys, Andrius; Vaitkus, Antanas; Laibinis, Linas; Gražulis, Saulius. Proving the correctness of the algorithm for building a crystallographic space group, Journal of applied crystallography. Chester: International Union of Crystallography. ISSN 0021-8898. eISSN 1600-5767. 2022, vol. 55, no. 3, p. 515-525. DOI: 10.1107/S1600576722003107.
2. Žvirblis, Tadas; Petkevičius, Linas; Bzinkowski, Damian; Vaitkus, Dominykas; Vaitkus, Pranas; Rucki, Mirosław; Kilikevičius, Artūras. Investigation of deep learning models on identification of minimum signal length for precise classification of conveyor rubber belt loads, Advances in mechanical engineering. London: SAGE Publishing. ISSN 1687-8132. eISSN 1687-8140. 2022, vol. 14, no. 6, p. [1-13]. DOI: 10.1177/16878132221102776.
3. Zadeike, Daiva; Gaizauskaite, Zydrune; Svazas, Mantas; Gruzauskas, Romas; Gruzauskas, Valentas; Damasius, Jonas; Juodeikiene, Grazina. Application of solid‐state fermentation for the improving of extruded corn dry‐milling by‐products and their protein functional properties, Life. Basel: MDPI. ISSN 2075-1729. 2022, vol. 12, iss. 11, art. no. 1909, p. 1-18.
MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
National Cancer Institute (Lithuania)
National Center of Pathology, Affiliate of Vilnius University Hospital Santaros Klinikos (Lithuania)
IOTA Foundation (Germany)
Vienna University (Austria)
OTHER RESEARCH ACTIVITIES
Assoc. Prof. Linas Petkevičius
• Editorial board member of the Nonlinear Analysis: Modelling and Control Journal, http://www.mii.lt/NA
• Board member of Artificial Intelligence Association of Lithuania (AIAL)
• Member of Institute of Electrical and Electronics Engineers (IEEE)
• Member of Lithuanian Computer Society (LIKS)
Prof. R. Baronas
• deputy editor-in-Chief of the Nonlinear Analysis: Modelling and Control Journal, http://www.mii.lt/NA ;
• editorial board member of the Baltic Journal of Modern Computing Journal, http://www.bjmc.lu.lv ;
• editorial board member of the International Journal of Artificial Intelligence, http://www.ceserp.com/cp-jour/index.php?journal=ijai;
• editorial board member of the journal Informatica, http://www.mii.lt/informatica ; member of Association for Computing Machinery (ACM).
• Chairman of Research Council of Lithuania, https://www.lmt.lt/en/about-the-research-council/chairman/3080.
Assoc. Prof. V. Čyras
• Program committee member at IRIS 2022, International Legal Informatics Symposium, Salzburg https://iris-conferences.eu/iris22_23-26feb22, https://iris-conferences.eu/en/iris-2021-2/organization/programme-committee
• Program committee member at EGOVIS 2022, The 11th International Conference on Electronic Government and the Information Systems Perspective, https://www.dexa.org/previous/dexa2022/www.dexa.org/egovis2022.html
Assoc. Prof. K. Lapin
• Scientific collaboration with the Systems Research Institute of the Polish Academy of Sciences, prof. Ignacy Kaliszewski’s scientific group.
Assoc. Prof. S. Ragaišis
• advisory board member of International project Enterprise SPICE, http://enterprisespice.com/.
MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES
Dr Linas Petkevičius
• Dirbtinis intelektas: už mitais apipintų grėsmių slypi beribės galimybės. https://naujienos.vu.lt/.
Dr Kristina Lapin
• „IT diplomas – karjeros garantas ar tik formalumas?“. https://infobalt.lt/renginys/konferencija-it-diplomas-karjeros-garantas-ar-tik-formalumas/
• Taisyklės darbo rinkoje keičiasi: trūkstant darbuotojų, įmonės pačios įsitraukia į ugdymo procesą, www.etaplius.lt ETAPLIUS - Taisyklės darbo rinkoje keičiasi: trūkstant darbuotojų, įmonės pačios įsitraukia į ugdymo procesą
Dr Žilvinas Ledas
• Atvira paskaita: Fizika žaidimams nuo nulio, https://www.facebook.com/events/601091045086439/
• Tai tiek. Videožaidimai užkariauja pasaulį. https://www.lrt.lt/mediateka/irasas/2000240987/tai-tiek-videozaidimai-uzkariauja-pasauli-pokalbis-su-zaidimu-kurejais-zilvinu-ir-sarunu-ledais-ir-tyrinetoju-tomu-mitkumi
• MIF absolventai pristatė didžiausią kompiuterinį žaidimą apie Lietuvos istoriją. https://madeinvilnius.lt/verslas/technologijos/mif-absolventai-pristate-didziausia-kompiuterini-zaidima-apie-lietuvos-istorija/
Dr Vytautas Ašeris
• LOGIN festivaliui užvėrus duris, organizatoriai jau turi ambicingų planų kitiems metams
• Pasiūlė būdą, kaip įmonėms sugeneruoti didesnį pelną: skaičiai – iškalbingi
• EBIT LV. Vadovų konferencija.
Dr Vytautas Čyras
• Dirbtinio intelekto politikos, teisės ir etikos iššūkiai, https://www.youtube.com/watch?v=aTqzCBH8boA.
47 Didlaukio st., LT-08303 Vilnius
Tel. 219 5002
E-mail: ,
Head – Assoc. Prof. Dr Linas Bukauskas
STAFF
Associate professors: Dr A. Brilingaitė, Dr L. Bukauskas, Dr K. Lapin
Lecturers: V. Krinickij, E. Kutka
Researchers: (snr. r.) Dr L. Ambrozaitytė, (snr. r.) Dr I.Domarkienė, (snr. r) Dr D. Lepaitė
Laboratory assistants: M. Gaubas (part-time), A.Bauraitė, R. Andrijauskaitė
Internships: D. Singh
Visiting professors: Dr Stefan Sutterlin (Norway) and Dr Ricardo Gregorio Lugo (Norway), Dr Ginta Majore (Latvia), Dr Rūta Pirta-Dreimane (Latvia), Dr Kaie Maennel (Estonia), Dr Olaf Maennel (Estonia)
RESEARCH INTERESTS
• Computer networks
• Cloud and parallel computing, virtualisation
• Cyber security
• Digital forensics
• Training environments for cybersecurity
• Education in computer science and cybersecurity
RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Research on the Detection of Premeditated Security Vulnerabilities in Mobile Applications and New Efficient Tkhc-Based Image Sharing Scheme Over Unsecured Channels. 2019–2022.
The rising numbers and sophistication of security threats in the digital domain cause an increase in the demand for skilled cybersecurity professionals. In response, cybersecurity exercises, and in particular, cyber defence exercises (CDX), are becoming ever more popular. They provide a training platform to simulate real-life situations. CDX are significant events involving months of preparation, and previous studies show a lack of objective evidence of their relevance regarding the learning impact. The skills of participants in the exercise are usually different and vary from tech-savvy to beginners. Also, the trainees are diverse when considering their background, current work profile (position and institution), and experience. An assessment of their competencies is essential to ensure quality in training. The project aims were to investigate information-sharing techniques during CDX events and cryptographic methods for efficient video image sharing.
Main publications:
1. Mahmoud E., Hodeish; Bukauskas, Linas; Vikas T., Humbe. A new efficient TKHC-based image sharing scheme over unsecured channel, Journal of King Saud University - Computer and information sciences. Amsterdam : Elsevier. ISSN 1319-1578. eISSN 2213-1248. 2022, vol. 34, no. 4, p. 1246-1262. DOI: 10.1016/j.jksuci.2019.08.004.
2. Brilingaitė, Agnė; Bukauskas, Linas; Juozapavičius, Aušrius; Kutka, Eduardas. Overcoming information-sharing challenges in cyber defence exercises, Journal of cybersecurity. Oxford : Oxford University Press. ISSN 2057-2085. eISSN 2057-2093. 2022, vol. 8, no. 1, p. [1-9]. DOI: 10.1093/cybsec/tyac001.
3. Juozapavičius, Aušrius; Brilingaitė, Agnė; Bukauskas, Linas; Lugo, Ricardo Gregorio. Age and gender impact on password hygiene, Applied sciences: Special issue: State-of-the-art of cybersecurity. Basel: MDPI. eISSN 2076-3417. 2022, vol. 12, iss. 2, art. no. 894, p. [1-15]. DOI: 10.3390/app12020894.
4. Kvietinskaitė, Gabrielė; Bukauskas, Linas; Krinickij, Virgilijus. Cyber security table-top exercise gamification with dynamic scenario for qualification assessment, Communications in computer and information science: vol. 1654: 24th International Conference on Human-Computer Interaction, HCII 2022, Virtual Event, June 26–July 1, 2022, Proceedings, Part I. Cham : Springer Verlag, 2022. ISBN 9783319975702. ISSN 1865-0929. eISSN 1865-0937. 2022, 1654, p. 54-62. DOI: 10.1007/978-3-031-19679-9_8.
Research Projects
Development of the National Cybersecurity Competence Map (Nacionalinio kibernetinio saugumo kompetencijų žemėlapio kūrimas) (Reg. No. S-REP-21-2). Dr L. Bukauskas, Dr A. Brilingaitė, Dr D. Lepaitė. 2021–2022.
This project aims to prepare the first Lithuanian cyber competence map together with recommendations on how to attract specialists to the Cybersecurity (CS) sector and how to advance their competencies. During the project, we will explore the demand for CS specialists in Lithuania and the world and survey the opinions of CS professionals, management, and specialists from private and public sector organisations, including the national defence sector. Also, we will determine the career path of the specialists, analyse job offers, distinguish work roles, and gather the findings and recommendations from scientific research papers and similar reports of other countries. The results of the project will include a publicly available database of collected data, expert findings of the research and recommendations for stakeholders, and a scientific article will be published to promote the results.
Main publications:
1. Bukauskas, Linas; Brilingaitė, Agnė; Ikamas, Kęstutis; Juozapavičius, Aušrius; Lepaitė, Daiva. Lietuvos kibernetinio saugumo kompetencijų žemėlapis = Cybersecurity competence map of Lithuania. Vilnius: Vilniaus universitetas, 2022. 160. DOI: 10.15388/CIBERSEK.2022.
2. Linas Bukauskas, Agnė Brilingaitė, Daiva Lepaitė, Aušrius Juozapavičius and Kęstutis Ikamas. Lietuvos įmonių vadovų ir specialistų apklausa kibernetinio saugumo klausimais [Data set]. 2022. DOI: 10.18279/MIDAS.CIBERSEK_CEO_HR_CSS_LT.188843.
3. Linas Bukauskas, Agnė Brilingaitė, Daiva Lepaitė, Aušrius Juozapavičius and Kęstutis Ikamas. Lietuvos įmonių darbo skelbimų kibernetiniame saugumo rolėse tyrimas [Data set]. 2022. DOI: 10.18279/MIDAS.CIBERSEK_JOB_ADDS_LT.188854.
ADVANCES: Advancing Human Performance in Cybersecurity (LT08-2-LMT-K-01-051). Baltic Research Programme EEA Grant (Project contract No S-BMT-21-6). Project leader: Dr A. Brilingaitė. Dr L. Bukauskas, Dr K. Lapin. 2021–2023.
This project focuses on human performance improvement. Human error is the leading cause of data and security breaches. It has been proven in many cyber crises that the strength of the cyber resiliency capability is highly related to the resiliency of a human at play and the coordinated actions of relevant actors. The cybersecurity strategies of the three Baltic countries unanimously emphasise the lack of cybersecurity specialists and the need to fill this gap by strengthening knowledge exchange and education programmes. A coherent interdisciplinary approach that encompasses technology and human aspects is crucial to create new innovative training methods and environments in order to overcome the rising security problems. This project aims to establish a new interdisciplinary collaborative network among leading Baltic, Liechtenstein, and Norwegian research institutions. The network has been supported by national/international organisations and a private sector company. The recent development of crisis (such as COVID-19) handling shows the impact of digital technologies where human behaviour and a comprehensive understanding of cybersecurity surpass infrastructural technological solutions. Most economic sectors in Europe depend increasingly on protection against cybercrime. Moreover, IT security workers should be prepared for the future cyber crisis that may have a devastating impact on the national economy and security. The close and continuous cross-border cooperation with the national/international institutions and the private company ensures that the research outcomes will help fulfil these objectives. The project will further increase the sustainability of the outcomes by implementing long-term educational training schemes, ongoing student-/staff mobility between academic partners, involving students in private enterprises, and the integration of private enterprises into educational development.
Main publications:
1. Mäses, Sten; Maennel, Kaie; Brilingaitė, Agnė. Trends and challenges for balanced scoring in cybersecurity exercises: A case study on the example of Locked Shields, Frontiers in education. Lausanne: Frontiers Media S.A. eISSN 2504-284X. 2022, vol. 7, art. no. 958405, p. [1-13]. DOI: 10.3389/feduc.2022.958405.
2. Pirta-Dreimane, Rūta; Brilingaitė, Agnė; Majore, Ginta; Knox, Benjamin James; Lapin, Kristina; Parish, Karen; Sütterlin, Stefan; Lugo, Ricardo Gregorio. Application of intervention mapping in cybersecurity education design, Frontiers in education. Lausanne: Frontiers Media SA. eISSN 2504-284X. 2022, vol. 7, art. no. 998335, p. [1-12]. DOI: 10.3389/feduc.2022.998335.
3. Pirta-Dreimane, Rūta; Brilingaitė, Agnė; Roponena, Evita; Parish, Karen. Multi-dimensional cybersecurity education design: a case study, The 7th IEEE Cyber Science and Technology Congress (CyberSciTech 2022). September 12-15, 2022, Calabria, Italy. Piscataway, NJ: IEEE, 2022. ISBN 9781665462976. p. [1-8]. DOI: 10.1109/DASC/PiCom/CBDCom/Cy55231.2022.9927931.
Increasing Security-Awareness: The Invisible Power of Digital Traces (Agreement No. 2022/8). The Baltic-German University Liaison Office is supported by the German Academic Exchange Service (DAAD) with funds from the Foreign Office of the Federal Republic of Germany. Project Leader: Dr A. Brilingaitė. Dr L. Bukauskas.
Due to the digitalisation of public sectors and the professional environment, cybersecurity research and study areas have become central to ensuring service continuity and protecting private and sensitive data. The education of the cyber workforce focuses on hard IT skills and ignores personality features. As for the general population, the typical recommendations and focus lie on personal account and data protection, e. g. authentication methods, password length and wording, and awareness of phishing techniques. Cybersecurity incidents are becoming more advanced, and their scope is beyond the technical implementation of the attack. In the cyber-kill chain, humans can be a weapon, target, and tool to disturb services, steal data, destroy personal and company reputations, and trigger a political crisis. Social engineering attacks can be prepared using data from cyberspace – digital traces – to target human weaknesses. The advent of AI-based social engineering tools may become a game-changer in the cybercrime context in the near future. We aim to research human behaviour when solving cybersecurity tasks related to various digital traces and aim to widen the scope towards new trends pointing at future cybersecurity challenges. The project team will establish collaboration for further study and research activities in the interdisciplinary approach of cybersecurity, psychology, and education.
MAIN RESEARCH ACHIEVEMENTS IN 2022
Overcoming Information Sharing Challenges in Cyber Defence Exercises, Journal of Security Oxford University Press.
Remapping Cybersecurity Competences in a Small Nation State, Haliyon, Elsevier.
Age and Gender Impact on Password Hygiene, Applied sciences: Special issue: State-of-the-art of cybersecurity, MDPI.
Trends and challenges for balanced scoring in cybersecurity exercises: A case study on the example of Locked Shields, Frontiers in education. Lausanne: Frontiers Media S.A.
MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
Armed forces of Lithuania (Lithuania)
Aalborg University (Denmark)
Albstadt-Sigmaringen University (Germany)
General Jonas Žemaitis Military Academy of Lithuania (Lithuania)
Norwegian University of Technical and Natural Sciences – NTNU (Norway)
Liechtenstein University (Liechtenstein)
Østfold University College (Norway)
University of Padua (Italy)
Riga Technical University (Latvia)
Strategeens, JSC (Lithuania)
Tallinn Technical University (Estonia)
Tartu university (Estonia)
Vidzeme University of Applied Sciences (Latvia)
OTHER RESEARCH ACTIVITIES
Assoc. Prof. A. Brilingaitė
• member of Association for Computing Machinery (ACM), https://campus.acm.org/public/vcard/vcard.cfm?handle=abrilingaite .
• Guest Associate Editor in Journal of Frontiers in Education special issue The Human Factor in Cyber Security Education
• Member of Women4Cyber Lithuania chapter
• Reviewer of Computer & Security Journal, Elsevier
Assoc. Prof. L. Bukauskas
• Reviewer of Computer & Security Journal, Elsevier
• Board member of Technical Committee No. 86 for Digital geographic information at the Department of Standardization.
• Guest Associate Editor in Journal of Frontiers in Education special issue The Human Factor in Cyber Security Education
• Member of IEEE organization
MOST IMPORTANT PARTICIPATION CASES OF RESEARCHERS IN WORKING GROUPS OR COMMISSIONS SET UP BY STATE AUTHORITIES, STATE AND MUNICIPAL INSTITUTIONS, ORGANISATIONS, BUSINESS ENTITIES
Assoc. Prof. L. Bukauskas
• Member of the National Cyber Security Board under Ministry of Defense of the Republic of Lithuania;
• Expert/Reviewer of research projects and proposals, European Commission
• Expert/Monitor of executed research projects, European Commission.
• BlueTeam member, Joint LTU-POL LockedShields 2022 (Vilnius), NATO CCDCOE.
• EXCON, POC, AmberMist 2022 (Vilnius), Armed Forces of Lithuania.
• Vice-President of non-profit organisation Geens.com vzw, Belgium.
Assoc. Prof. A. Brilingaitė
• Yellow Team member, LockedShields (Tallin) 2022, NATO CCDCOE.
• Team lead Evalution Team, AmberMist (Vilnius), 2022, Armed Forces of Lithuania.
MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES
1. Brilingaitė, Agnė (autorius, interviu, duodantis); Bukauskas, Linas (interviu, duodantis); Juozapavičius, Aušrius (interviu, duodantis); Carlisle, Kathryn (interviu, imantis). Locking the door at night - cybervigilance // EEAgrants.org News. Brussels : EEA and Norway Grants. 2022. https://eeagrants.org/news/locking-door-night-cybervigilance
2. Brilingaitė, Agnė. Tyrimo apie kibernetinio saugumo kompetencijas Lietuvoje įžvalgos, Cyber piknikas, [2022 m.] rugsėjo 19 d., Vilnius. Vilnius : Women4Cyber Lithuania. 2022, p. [1-21]. DOI: 10.13140/RG.2.2.32820.73605.
3. Burokas, Vaidotas; Bukauskas, Linas (interviu, duodantis); Ramanavičius, Arūnas (interviu, duodantis); Osterlund, Jowan (interviu, duodantis). Implantuotą mikroschemą po oda turintis Andrius dėl duomenų saugumo nesijaudina: žymiai didesnė grėsmė yra pamesti mobilų telefoną, LRT.lt. Vilnius. 2022, p. [1]. https://www.lrt.lt/naujienos/mokslas-ir-it/11/1778179/implantuota-mikroschema-po-oda-turintis-andrius-del-duomenu-saugumo-nesijaudina-zymiai-didesne-gresme-yra-pamesti-mobilu-telefona
24 Naugarduko st., LT–03225 Vilnius
Tel.: 219 3085
E-mail
http://mif.vu.lt/lt3/en/about/structure/institute-of-mathematics
Director – Prof. Dr Jonas Šiaulys
STAFF
Professors: Dr G. Bakštys (Partnership), Dr P. Drungilas, Dr R. Garunkštis (part-time), Habil. Dr A. Laurinčikas (Emeritus), Dr A. Linartas (Partnership), Habil. Dr E. Manstavičius (Emeritus), Habil. Dr V. Paulauskas (Emeritus), Dr J. Šiaulys
Associate professors: Dr A. Balčiūnas, Dr D. Dzindzalieta, Dr A. Elijio, Dr A. Grigutis, Dr J. Jankauskas (part-time), Dr R. Kačinskaitė, I. Mikulėnas (Partnership), Dr M. Manstavičius, Dr E. Mazėtis. Dr A. Novikas, Dr R. Šimėnas
Chief research fellows: Dr R. Garunkštis (part-time), Habil. Dr A. Dubickas
Senior research fellows: Dr J. Jankauskas (part-time)
Assistants: G. Bagdonas (part-time), Dr J. Damarackas, Dr R. Gylys (part-time), Dr E. Globienė (part-time), Dr E. Jaunė(part-time), Dr A. Kačėnas, Dr A. Lenkšas(part-time), Dr A. Skučaitė, Dr V. Stepas, Dr R. Tamošiūnas (part-time), Dr A. Zinevičius
Junior assistants: E. Gutauskaitė, G. Liaudanskaitė, L. Maciulevičius. S. Paukštys, J. Sprindys
Lecturers: Š. Dirmeikis
Affiliated professors: Habil. Dr V. Mackevičius, Dr G. Stepanauskas
Affiliated associate professors: Dr R. Kašuba, Dr R. Kudžma, Dr G. Misevičius, Dr A. Plikusas
Doctoral students: M. Dirma, G. Gangopadhyay, E. Gutauskaitė, M. Jasas, G. Junevičius, V. Jurgelevičius, J. Karasevičienė, A. Karbonskis, L. Klebonas, T. Kondratavičius, T. Kuras, V. Lukšienė, L. Maciulevičius, T. Mikalauskaitė, G. Mongirdaitė, M. Montessinos, A. Nakliuda, N. Nakliuda, R. Norbutaitė, S. Paukštys, R. Prigodin, R. Puišys, M. Savitienė(Tekorė), J. Sprindys, A. Šmergelytė, P. Virbalas, B. Žemaitienė
DEPARTMENTS OF INSTITUTE
Department of Mathematical Analysis
Department of Probability Theory and Number Theory
Analytic Number Theory Group
The Center for Mathematics Education
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.
MAIN CONFERENCES ORGANIZED IN 2022
The Lithuanian Conference in Probability Theory and Number Theory was dedicated to the 100th anniversaries of Lithuanian universities, the Department of Mathematical Analysis and the Department of Geometry. Palanga. 5–10 September 2022.
BEST REPORTS DELIVERED AT CONFERENCES ABROAD 2022
1. R.Garunkštis. Zeros of the Riemann zeta-function and of its derivative. Conference on elementary and analytic number theory ELAZ 2022. 22-26 August 2022, Poznan, Poland.
2. Dubickas. Number fields without generators of small Mahler measure, Equidistribution and Arithmetic Dynamics, Oklahoma State University June 20-24, 2022
3. G. Liaudanskaitė. Compound Poisson approximations to sums of extrema of Bernoulli variables. 28th Nordic Congress of Mathematicians.18 - 21 August 2022, Aalto University, Finland.
4. R. Leipus, S. Paukštys, J. Šiaulys. Tails of moments of sums with heavy-tailed summands and applications to the Haezendonck-Goovaerts risk measure. European Actuarial Journal Conference 2022. August 22–24, Tartu, Estonia.
5. M. Manstavičius. Concordance measures generalizing Kendall’s tau. 16th International Conference on Computational and Financial Econometrics (CFE 2022) and 15th International Conference of the ERCIM (European Research Consortium for Informatics and Mathematics) Working Group on Computational and Methodological Statistics (CMStatistics 2022). London, 17-19 December 2022.
MAIN SCIENTIFIC ACHIEVEMENTS IN 2022
During the year, 32 articles were published in scientific publications with an impact factor in the ISI Web of Science database.
The transcendency of some constants that occur as limits of sequences arising from polynomial iterations has been established. This implies that some constants from Sloane's Online Encyclopedia of Integer Sequences are not only irrational (as known before) but also transcendental.
Popular concordance measures such as Spearman's rho, Kendall's tau, etc., were generalised by employing special nonlinear functions; new examples provide higher-degree polynomial- concordance measures, as well as non-polynomial-type concordance measures, showing the richness of this set.
The limiting behaviour of Conditional Tail Expectation is established for a sum of real-valued and tail-dependent random variables with regularly varying distributions.
New algorithms for calculating survival probability for discrete-time inhomogeneous risk models have been found.
Two absolutely convergent Dirichlet series close to the Riemann and Hurwitz zeta-functions are constructed, and it is proved that the set of their shifts approximating a pair of analytic functions has a positive density.
Joint weighted universality theorems are proved concerning the simultaneous approximation of a collection of analytic functions by a collection of shifts of Hurwitz zeta-functions with suitable parameters.
DEPARTMENT OF MATHEMATICAL ANALYSIS
24 Naugarduko st., LT-03225 Vilnius
Tel.: 219 3085
E-mail
Head – Prof. Dr Jonas Šiaulys
STAFF
Professors: Dr G. Bakštys (Partnership), Dr A. Linartas (Partnership), Habil. Dr V. Paulauskas (Emeritus), Dr J. Šiaulys
Associate professor: Dr D. Dzindzalieta, Dr A. Elijio, Dr M. Manstavičius, I. Mikulėnas (Partnership)
Assistants: Dr G. Bagdonas, Dr J. Damarackas, Dr E. Globienė, Dr R. Gylys, Dr E. Jaunė, Dr A. Lenkšas, Dr A. Skučaitė
Research assistants: E. Gutauskaitė, J. Karasevičienė, G. Liaudanskaitė, S. Paukštys, J. Sprindys.
Lecturers: Š. Dirmeikis
Affiliated professors: Habil. Dr V. Mackevičius, Dr G. Stepanauskas
Affiliated associate professors: R. Kašuba, R. Kudžma, A.E. Plikusas
Doctoral students: M. Dirma, E. Gutauskaitė, V. Jurgelevičius, J. Karasevičienė, T. Kuras, G. Mongirdaitė, A. Nakliuda, N. Nakliuda, R. Norbutaitė, S. Paukštys, R. Prigodin, R. Puišys, J. Sprindys
RESEARCH INTERESTS
• Mathematical analysis
• Heavy-tailed distributions
• Probability limit theorems
• Stochastic analysis
• Actuarial mathematics
• Financial mathematics
• Risk theory
RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Nonhomogeneous Stochastic Models and Their Applications in Financial and Actuarial Mathematics. Prof. J. Šiaulys. 2020–2023.
The limiting behaviour of Conditional Tail Expectation is established for a sum of real-valued tail-dependent random variables with regularly varying distributions. The results obtained show that each positive random effect transforms the initial survival function into a new absolutely continuous survival function. A special class of functions that generate bivariate copulas has been found. Properties of Hakel-like determinants have been found to support algorithms for calculating survival probabilities in a discrete-time risk model with a special premium.
Main publications:
1. Jaunė, E., Šiaulys, J. Asymptotic risk decomposition for regularly varying distributions with tail dependence. Applied Mathematics and Computation. 2022. 427: 127164..
2. Manstavičius, M., Bagdonas, G. A class of bivariate independence copula transformations. Fuzzy Sets and Systems. 2022. 428: 58-79.
3. Grigutis, A., Jankauskas, J. On 2x2 determinants originating from survival probabilities in homogeneous discrete time risk model. Results in Mathematics. 2022. 77: 204.
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
Affiliated Prof. V. Mackevičius
• section editor 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)
• editor-in-Chief board member of the Lithuanian Mathematical Journal;
• member of the American Mathematical Society, http://www.ams.org/ ;
• board member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index_en.html;
• member of the International Statistical Institute, http://isi.cbs.nl/ ;
• board member of the Lithuanian Statistical Society, http://www.statistikusajunga.lt.
Prof. J. Šiaulys
• editorial board member of the Lithuanian Mathematical Journal;
• editorial board member of the Modern Stochastics: Theory and Applications;
• editorial board member of the Nonlinear Analysis: Modelling and Control;
• member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index_en.html ;
• reviewer for Mathematical Reviews;
• reviewer for Zentralblatt MATH.
Affiliated Prof. G. Stepanauskas
• member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index_en.html ;
• reviewer for Mathematical Reviews.
Assoc. Prof. M. Manstavičius
• president of the Lithuanian Statistical Society, http://www.statistikusajunga.lt;
• member of the Lithuanian Mathematical Society http://www.mif.vu.lt/lmd/index_en.html;
• reviewer for Mathematical Reviews.
Dr A. Skučaitė
• member of the Lithuanian Actuarial Society http://www.aktuarai.lt;
• member of Social Security Committee at International Actuarial Association. http://www.aktuaries.org/;
• member of Board of Health Section of International Actuarial Association. http://www.aktuaries.org/.
Dr R. Gylys
• member of the Lithuanian Actuarial Society http://www.aktuarai.lt;
• member of Insurance Accounting Committee of International Actuarial Association. http://www.aktuaries.org/.
Dr A. Linartas
• member of the Committee of European Auditing Oversight Bodies (CEAOB). https://finance.ec.europa.eu;
• member of The International Forum of Independent Audit Regulators (IFIAR). https://www.ifiar.org;
• chairman of the Audit Committee of the European Investment Bank (EIB). https://www.eib.org/en/index.htm
• member of the Business Accounting Standards Committee. https://avnt.lrv.lt/
• member of Public Sector Accounting and Financial Reporting Standards. https://finmin.lrv.lt/.
S. Paukštys
• member of the Lithuanian Actuarial Society, http://www.aktuarai.lt;
• member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index_en.html.
DEPARTMENT OF PROBABILITY THEORY AND NUMBER THEORY
24 Naugarduko st., LT–03225 Vilnius
Tel.: 219 3059
E-mail:
Head – Prof. Habil. Dr Artūras Dubickas
STAFF
Professors: Dr P. Drungilas, Habil Dr A. Laurinčikas (Emeritus), Habil. Dr E. Manstavičius (Emeritus)
Associate professors: Dr A. Balčiūnas, Dr J. Jankauskas (part-time), Dr R. Kačinskaitė, Dr E. Mazėtis, Dr A. Novikas
Chief research fellows: Habil. Dr A. Dubickas
Senior research fellows: Dr J. Jankauskas (part-time)
Assistants: Dr A. Kačėnas Dr V. Stepas, Dr A. Zinevičius
Affiliated associate professor: Dr R. Kašuba, Dr G. Misevičius
Junior assistant: L. Maciulevičius
Doctoral students: G. Gangopadhyay, M. Jasas, G. Junevičius, A. Karbonskis, L. Klebonas, V. Lukšienė, L. Maciulevičius, M. Montessinos, M. Savitienė(Tekorė), A. Šmergelytė, P. Virbalas, B. Žemaitienė
RESEARCH INTERESTS
• Algebraic numbers and polynomials
• Analytic number theory
• Combinatorics
• Probabilistic number theory
RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Problems of Number Theory and Investigation of Roots of Polynomials. Prof. A Drungilas, Prof. A. Garunkštis, Prof. A. Dubickas, Prof. A. Laurinčikas, Prof. E. Manstavičius. 2019–2023.
We proved an effective version of the primitive element theorem and established the transcendency of some constants obtained from iterations of polynomials.
A few effective bounds for the variance of statistics defined on random combinatorial structures were obtained.
We proved that the sequence of imaginary parts of the Lerch zeta function is uniformly distributed modulo one.
Joint universality theorems with generalised shifts for the Riemann zeta-function and Dirichlet L-functions were obtained.
Main publications:
1. Dubickas, A. Transcendency of some constants related to integer sequences of polynomial iterations. The Ramanujan Journal. 2022. 57 (2): 569–581.
2. Garunkštis, R., Panavas, T. The zeros of the Lerch zeta-function are uniformly distributed modulo one. Ukr. Math. J. 2022. 73(9): 1359–1370.
3. Laurinčikas, A. Joint universality in short intervals with generalized shifts for the Riemann function. Mathematics. 2022. 10(10): Art. Number 1652.
MAIN R&D&I (RESEARCH, DEVELOPMENT AND INOVATION) PARTNERS
University of New South Wales (Sydney, Australia)
Nagoya University (Japan)
Würzburg University (Germany)
Oklahoma State university (USA)
Montanuniversität Leoben (Austria)
South China Normal University (China)
OTHER RESEARCH ACTIVITIES
Prof. A. Dubickas
• member of the Lithuanian Academy of Sciences, http://lma.lt/lt;
• editor of the European Journal of Mathematics, http://www.springer.com/mathematics/algebra/journal/40879;
• editorial board member of the Uniform Distribution Theory, http://udt.mat.savba.sk;
• section editor of the Lithuanian Mathematical Journal, http://www.mii.lt/lmj;
• leader of Lithuanian team at IMO, https://imof.co/imo-2022-norway/;
• program committee member of the Lithuanian conference in Probability Theory and Number Theory. Palanga, September 5–10, 2022.
Prof. A. Laurinčikas (Emeritus)
• member of the Lithuanian Academy of Sciences, http://lma.lt/lt;
• editorial board member of the Lithuanian Mathematical Journal, http://www.mii.lt/index.php?siteaction=pages.ed&page=lmj_an&lang=en;
• editorial board member of the Mathematical Modelling and Analysis, http://www.tandfonline.com/action/journalInformation?show=editorialBoard&journalCode=tmma20#.VlV1k7kw99A.
Prof. E. Manstavičius (Emeritus)
• member of the Lithuanian Academy of Sciences, http://lma.lt;
• section editor of the Lithuanian Mathematical Journal, http://www.mii.lt/lmj;
• editorial board member of the International Journal of Number Theory, http://www.worldscientific.com/page/ijnt/editorial-board;
• board member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index_en.html;
• individual member of the European Mathematical Society, https://euro-math-soc.eu/individual-members.
24 Naugarduko st., LT–03225 Vilnius
Tel.: 219 3081
E-mail:
Head – Prof. Dr Ramūnas Garunkštis
STAFF
Professors: Dr R. Garunkštis (part-time), Dr R. Macaitienė (part-time, Šiauliai Academy), Dr D. Šiaučiūnas (part-time, ŠA)
Chief research fellows: Dr R. Garunkštis (part-time), Dr R. Macaitienė (part-time, ŠA)
Associate professors: Dr V. Garbaliauskienė (part-time, ŠA), Dr A. Grigutis, Dr R. Šimėnas
Senior researchers: Dr V. Garbaliauskienė (part-time, ŠA), Dr Darius Šiaučiūnas (part-time, ŠA).
Assistants: Dr E. Karikovas, Dr R. Tamošiūnas (part-time)
Specialist: J. Putrius
Doctoral students: T. Kondratavičius, T. Mikalauskaitė
RESEARCH INTERESTS
• Zeta functions
• Universality theorems
• Risk models
National Research Project
Zeta Functions: Going Beyond Riemann's Case (No. S-MIP-22-81). The Research Council of Lithuania. Prof. Dr R. Garunkštis. 2022–2025.
The primeness of certain zeta functions from the Selberg class is established, and a generalised limit theorem with an explicitly given limit measure for the Epstein zeta-function is obtained.
Main publication:
1. Laurinčikas A., Macaitienė R., A Generalized Bohr-Jessen Type Theorem for the Epstein Zeta-Function. Mathematics. 2022. 10(12): 2042.
OTHER SCIENTIFIC ACTIVITIES
Prof. R. Garunkštis
• Member of the program committee of the 63ed conference of the Lithuanian Mathematical Society;
• Editorial Board member of Lithuanian Mathematical Journal.
Prof. R. Macaitienė
• member of the American Mathematical Society, http://www.ams.org/;
• Board member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index_en.html ;
• reviewer for Mathematical Reviews;
• reviewer for Zentralblatt MATH;
• Editorial Board member of the journal Jaunujų mokslininkų darbai / Journal of Young Scientists (publ. Vilnius University, Šiauliai Academy), https://www.journals.vu.lt/jaunuju-mokslininku-darbai;
• Editorial Board member of the journal Applied Scientific Research (publ. Šiauliai State University of Applied Sciences), https://svako.lt/uploads/svako-editorial-board.pdf;
• Expert-consultant in the project Research on the heterogeneous growth effects of public debt/ Valstybės skolos poveikio ekonomikos augimui heterogeniškumo tyrimas (PUBDEB) (S-MIP-19-65, Research Council of Lithuania), 2019–2022, https://www.sa.vu.lt/mokslas/mokslo-projektai-ir-tyrimai#valstybes-skolos-poveikio-ekonomikos-augimui-heterogeniskumo-tyrimas-pubdeb-nr-s-mip-19-65.
Prof. D. Šiaučiūnas
• Board member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index_en.html;
• reviewer for Mathematical Reviews.
Assoc. Prof. V. Garbaliauskienė
• member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index_en.html.
Assoc. Prof. R. Šimėnas
• reviewer for Mathematical Reviews.
THE CENTER FOR MATHEMATICS EDUCATION
24 Naugarduko st., LT-03225 Vilnius
Tel. 219 3075
E-mail:
Head – Prof. Dr Habil. Rimas Norvaiša
STAFF
Professors: Habil. Dr A. Dubickas, Dr P. Drungilas, Habil. Dr R. Norvaiša
Associate professors: Dr A. Elijio, Dr E. Mazėtis, Dr A. Novikas
Affiliated associate professor: Dr R. Kašuba, R. Kudžma
Doctoral students: V. Miežys, I. Kilienė
RESEARCH INTERESTS
• Research of pedagogical content knowledge of teachers of mathematics and content analysis of elementary mathematics
• Research of mathematical problems and mathematical models
• Development of working methods with children gifted in mathematics
RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Mathematics Education Research. Prof. Dr (HP) R. Norvaiša. 2020–2024.
This project aims to investigate the educational philosophy and politics of mathematics education. It seeks to establish the methodical material of elementary mathematics for teachers, to research and create word problems that motivate mathematical reasoning, and to compile a dictionary of concepts related to school mathematics.
We prepared the problems for Lithuanian Mathematical Olympiad, the Team Olympiad, and a selection test for the Baltic Way Olympiad. In 2022, the members of the centre were team leaders for Lithuanian teams participating at the IMO (International Mathematical Olympiad, held online), MEMO (Middle European Mathematical Olympiad, which was a hybrid event), and the team Olympiad Baltic Way, which was a live event in Iceland.
Main publications:
1. Kilienė, I., Norvaiša, R. Solving word problems with reasoned judgement. Lithuanian Mathematical Journal. 2022. 62: 467–80.
2. Kilienė, I., Norvaiša, R. The use of a deductive reasoning when solving a word problem. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Feb 2022, Bozen-Bolzano, Italy. ffhal-03746835v2f.
Projects supported by the National Agency for Education
Development of the System to Supervise Students’ Achievements and Creation of Instruments to Establish Accumulative Assessments (No. 09.2.1-ESFA-V-706-02-0001). Participants V. Miežys, R. Norvaiša.
MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
Tartu University (Estonia)
OTHER RESEARCH ACTIVITIES
Affiliated associate professor Dr R. Kašuba
• board member of Lithuanian Kangaroo Committee, http://www.kengura.lt ;
• editorial board member of the MCG Mathematical Creativity and mathematical Giftedness newsletter, Editor of Problem corner, www.igmcg.org/newsletter.html ;
• board member of Lithuanian school of young mathematicians, http://www.mif.vu.lt/ljmm/.
Assoc. Prof. E. Mazėtis
• board member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/ ;
• board member of Lithuanian Mathematics Teachers Society, http://mif.vu.lt/lmma/ ;
• head of Lithuanian School of Young Mathematicians, http://www.mif.vu.lt/ljmm/.
Prof. R. Norvaiša
• editorial board member of the Lithuanian Mathematical Journal, http://www.springer.com/mathematics/journal/10986?detailsPage=editorialBoard;
• associate editor of the North-Western European Journal of Mathematics;
• a representative of Lithuania in International Commission on Mathematical Instruction https://www.mathunion.org/icmi/organisation/our-members/icmi-representatives;
• a member of consultation board for Universal Lithuanian Encyclopaedia;
• a nominated expert of the Lithuanian Government in Education working group of OECD.
Assoc. Prof. Dr A. Novikas
• Team Leader of Lithuanian team at EGMO and "Baltic Way" mathematical contest; Deputy Leader of Lithuanian team at MEMO https://www.egmo.org/; http://www.math.olympiaadid.ut.ee/eng/html/?id=bw; https://www.math.aau.at/MEMO/
• participation at Kangaroo annual meetings, www.kengura.lt;
• board member of Lithuanian School of Young Mathematicians, http://www.mif.vu.lt/ljmm/.
Assoc. Prof. A. Elijio
• expert member of the project “Developing the recognition of students’ academic capacities and the quality of their education”, http://www.sppc.lt/veikla/vykdomi-projektai/akademiniu-pasiekimu/.
MOST IMPORTANT NATIONAL AND INTERNATIONAL AWARDS RECEIVED FOR R&D ACTIVITIES
The M.K. Čiurlionis Foundation awarded 'Lithuanian Luminaries 2022' to Vygantas Paulauskas, Professor Emeritus of VU, a mathematician and author of textbooks on functional analysis who has published more than 120 scientific papers.
MOST IMPORTANT PARTICIPATION CASES OF RESEARCHERS IN WORKING GROUPS OR COMMISSIONS SET UP BY STATE AUTHORITIES, STATE AND MUNICIPAL INSTITUTIONS, ORGANISATIONS, BUSINESS ENTITIES
1. International Actuarial Association, http://www.aktuaries.org/: Dr A. Skučaitė is representative of Lithuanian Actuarial Association at Social Security Forum and Health Forum as well as Honorary Secretary of Health Section. Dr R. Gylys is member of Insurance Accounting Committee.
2. Institute and Faculty of Actuaries, https://www.actuaries.org.uk: Dr R. Gylys is a member of the Institute.
3. Lithuanian Actuarial Society, http://www.aktuarai.lt: Prof. G. Bakštys, Dr A. Skučaitė, Dr R. Gylys and doctoral student S. Paukštys are members of the Society.
4. Lithuanian Statistical Society, http://www.statistikusajunga.lt: Dr M. Manstavičius is president of the Society; Prof. V. Paulauskas is a member of the Society.
5. Committee of European Auditing Oversight Bodies (CEAOB), https://finance.ec.europa.eu. Dr A. Linartas is a member of the Committee.
6. The Audit Committee of the European Investment Bank (EIB), https://www.eib.org/en/index.htm. Dr A. Linartas is the chairman of the Comitee.
7. OECD working group „Education 2030“: Prof. R. Norvaiša is a representative of Lithuania.
MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES
1. 11th Meeting of Lithuanian Young Mathematicians, http://lmd.mif.vu.lt: Dr A. Grigutis, Dr J. jankauskas, doctoral students R. Puišys, A.Nakliuda, N. Nakliuda, S. Paukštys.
2. Seminar for techers on Mathematics “Mathematics as a way of thinking. Advice and ideas”. Prof. R. Norvaiša, Dr D. Dzindzalieta.
INSTITUTE OF APPLIED MATHEMATICS
24 Naugarduko st., LT-03225 Vilnius
Tel. 219 5043
E-mail: ,
www http://www.mif.vu.lt
https://mif.vu.lt/lt3/en/about/structure/institute-of-applied-mathematics
Director – Prof. Habil. Dr Konstantinas Pileckas
STAFF
Professors: Dr A. Ambrazevičius, Habil. Dr V. Čekanavičius, Dr P. Katauskis, Habil. Dr R. Leipus, Habil. Dr R. Norvaiša (part-time), Habil. Dr K. Pileckas, Habil. Dr A. Račkauskas, Dr (HP) M. Radavičius (part-time), Habil. Dr D. Surgailis (emeritus), Dr (HP) A. Štikonas (part-time), Dr O. Štikonienė.
Research fellows: Dr K. Karčiauskas, Dr R. Norvaiša (part-time), G. Panasenko (Distinguished professor, part-time), Habil. Dr K. Pileckas, , Habil. Dr A. Račkauskas (part-time), Dr (HP) A. Štikonas (part-time), Dr R. Vidunas (part-time).
Associate professors: Dr K. Kaulakytė, Dr V. Kazakevičius, Dr A. Kregždė, Dr R. Levulienė, T. Marčiulaitis (Partnership), Dr J. Markevičiūtė (part-time), Dr G. Puriuškis, DrV. Skorniakov, Dr R. Vidunas (part-time).
Assistants: Dr A. Buteikis, Dr D. Celov, Dr R. Giniūnaitė, Dr S. Jokubaitis, Dr R. Juodagalvytė, Dr E. Karikovas, Dr A. Kavaliauskas, Dr Š. Repšys, Dr V. Šumskas, Dr J. Venskus (part-time).
Junior assistants: I. Kilienė, N. Kozulinas, A. Medžiūnas.
Lecturers: Dr R. Eidukevičius (part-time), V. Maniušis.
Affiliate professors: Dr V. Bagdonavičius, Dr V. Skakauskas.
Doctoral students: A. E. Bakhit, K. Bartkus, A. Birbilas, R. Buzas, U. Čižikovienė, T. Danielius, I. Kilienė, N. Kozulinas, V. Miežys, G. Liaudanskaitė, D. Vereškaitė.
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, and random fields.
• Applied mathematics: methods of mathematical statistics, mathematical modelling, econometrics, time series analysis, insurance mathematics, and network traffic models.
MAIN CONFERENCES ORGANIZED IN 2022
1. International workshop “Multiscale Modeling and Methods”, 24-26 October, 2022, Vilnius. Organizers: K. Kaulakytė, G. Panasenko, K. Pileckas.
2. International workshop “Biomathematics and Mechanics in Cardiovascular Medicine”, December 7, 2022, Saint-Etienne and online. Organizers: S. Avril, G. Panasenko.
3. Fudan International Seminar on Analysis, PDEs, and Fluid mechanics, 2022 (remotely), organized by Fudan University (Shanghai, China, Z Lei, M. Korobkov), Universita degli studi della Campania "Luigi Vanvitelli" (Caserta, Italy, A. Ferone, R. Russo) and Vilnius University (Vilnius, Lithuania, K. Pileckas), https://researchseminars.org/seminar/Cafe_Analysis_and_Fluid
4. 63rd Conference and Congress of Lithuanian Mathematical Society, June 16-17, 2022, Kaunas, Lithuania. Chairman of the programme committee prof. A. Štikonas https://lmd2022.ktu.edu/
BEST REPORTS DELIVERED AT CONFERENCES ABROAD
1. Panasenko G., Pileckas K, Kaulakytė K., Kozulinas N., Borodinas S., Ardatov S. Simulation of the blood flow in the left atrium appendage (LAA). International workshop “Biomathematics and Mechanics in Cardiovascular Medicine”, December 7, 2022, Saint-Etienne, France (hybrid).
2. Panasenko G. Asymptotic Analysis and Numerical Simulations in the heart and in vessels. International workshop “Multiscale Modeling and Methods”, October 24-16, 2022, Vilnius, Lithuania.
3. Kilienė, I., Norvaiša, R. The use of a deductive reasoning when solving a word problem. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Feb 2022, Bozen-Bolzano, Italy.
DEPARTMENT OF DIFFERENTIAL EQUATIONS
24 Naugarduko st., LT-03225 Vilnius
Tel. 219 3098
E-mail:
Head - Prof. Habil. Dr Konstantinas Pileckas
STAFF
Professors: Dr A. Ambrazevičius, Dr P. Katauskis, G. Panasenko (Distinguished professor, part-time), Habil. Dr K. Pileckas (part-time), Dr O. Štikonienė, Dr A. Štikonas (part-time),
Research fellows: Dr K. Karčiauskas, Habil. Dr K. Pileckas (part-time), Dr A. Štikonas (part-time), Dr R. Vidunas (part-time).
Associate professors: Dr K. Kaulakytė, Dr A. Kregždė, Dr G. Puriuškis, Dr R. Vidunas (part-time).
Assistants: Dr R. Giniūnaitė (part-time), Dr R. Juodagalvytė, Dr E. Karikovas, Dr A. Kavaliauskas, Dr Š. Repšys, V. Šumskas.
Junior assistant: N. Kozulinas.
Affiliate professor: Dr V. Skakauskas.
RESEARCH INTERESTS
• Partial differential equations
• Mathematical hydrodynamics
• Mathematical modelling
• Integrodifferential and nonlocal equations
• Numerical methods
• Computer geometry
• Functional analysis
RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Theoretical and Applied Research of Differential Problems. Assoc. Prof. Dr K. Kaulakytė. 2022–2025.
The dimension reduction for the viscous flows in thin tube structures leads to equations on the graph for the macroscopic pressure with Kirchhoff-type junction conditions at the vertices. Nonlinear equations on the graph generated by the non-Newtonian rheology were studied. The existence of a unique solution was proved. This solution describes the leading term of an asymptotic analysis of the stationary non-Newtonian fluid motion in a thin tube structure with no-slip boundary condition on the lateral boundary.
An alternating direction implicit (ADI) type finite volume numerical scheme was constructed to solve a hybrid dimension heat conduction problem in a 2D cross-shaped domain. An efficient modification of the classical factorisation algorithm was developed to resolve nonlocal conjugation conditions. The obtained results of numerical experiments confirmed the theoretical accuracy of the estimates.
New constructions of high-quality multi-sided surfaces were obtained.
A novel method was presented that, for a given DNA sequence, predicts not only the energy needed to wrap into a nucleosome but also its optimal configuration. We highlighted the importance of such a method as it broadens the understanding of the mechanical features of DNA that facilitate nucleosome formation.
The classical topic of rigid graphs, that is, graphs with prescribed edge lengths and having finitely many (up to Euclidean motions) embeddings into R^d, was considered. New upper bounds on the number of embeddings in all dimensions were obtained.
Main publications:
1. Giniūnaitė, Rasa; Petkevičiūtė-Gerlach, Daiva. Predicting the configuration and energy of DNA in a nucleosome by coarse-grain modelling // Physical chemistry chemical physics. Cambridge : Royal society of chemistry. 2022, vol. 24, iss. 42, p. 26124-26133. DOI: 10.1039/d2cp03553g.
2. Karčiauskas, Kęstutis; Peters, Jorg. An improved refinement rule for multi-sided faces // Computers and graphics. Oxford : Pergamon-Elsevier Science LTD. 2022, vol. 102, p. 370-379. DOI: 10.1016/j.cag.2021.10.008.
3. Karčiauskas, Kęstutis; Peters, Jorg. Bi-cubic scaffold surfaces // Computer-aided design. Oxford : Elsevier. 2022, vol. 150, art. no. 103310, p. [1-10]. DOI: 10.1016/j.cad.2022.103310.
4. Panassenko, Grigory; Pileckas, Konstantinas; Vernescu, Bogdan. Steady state non-Newtonian flow in a thin tube structure: equation on the graph // St. Petersburg mathematical journal. Providence : American Mathematical Society. 2022, vol. 33, iss. 2, p. 327-340. DOI: 10.1090/spmj/1702.
5. Panassenko, Grigory; Viallon, Marie-Claude. Method of asymptotic partial decomposition with discontinuous junctions // Computers & mathematics with applications. Oxford : Pergamon-Elsevier science Ltd. 2022, vol. 105, p. 75-93. DOI: 10.1016/j.camwa.2021.11.017.
6. Bartzos, Evangelos; Emiris, Ioannis Z.; Vidunas, Raimundas. New upper bounds for the number of embeddings of minimally rigid graphs // Discrete & computational geometry. New York : Springer.. 2022, vol. 68, no. 3, p. 796-816. DOI: 10.1007/s00454-022-00370-3.
7. Šumskas, Vytenis; Čiegis, Raimondas. Finite volume ADI scheme for hybrid dimension heat conduction problems set in a cross-shaped domain // Lithuanian mathematical journal. New York : Springer. 2022, vol. 00, iss. 00, p. 1-20. DOI: 10.1007/s10986-022-09561-0.
International Research Projects
Multiscale Mathematical and Computer Modeling for Flows in Networks: Application to Treatment of Cardiovascular Diseases (No 09.3.3-LMT-K-712-17-0003). European Social Fund. Prof. G. Panasenko. 2020−2023.
In 2022, the steady-state non-Newtonian flow, with strain rate-dependent viscosity in a thin tube structure with no-slip boundary condition, was considered. Applying the Banach fixed point theorem, the existence and uniqueness of a solution were proved. An asymptotic approximation was constructed and justified by an error estimate. Using COMSOL, the results concerning blood flow in the left atrium appendage were obtained for the atrial fibrillation case.
Main publication:
1. Panassenko, Grigory; Pileckas, Konstantinas; Vernescu, Bogdan. Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition // Mathematical modelling of natural phenomena. Paris : EDP Sciences. 2022, vol. 17, art. no. 18, p. [1-36]. DOI:10.1051/mmnp/2022005.
MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
Zürich University, Zurich (Switzerland)
University of Saint Etienne, Saint Etienne (France)
Universit`a degli Studi della Campania “L. Vanvitelli”, Caserta (Italy)
Seconda Università degli Studi di Napoli, Caserta (Italy)
Ferrara of University, Ferrara (Italy)
University of Kassel, Kassel (Germany)
University of Novosibirsk, Novosibirsk (Russia)
Steklov institute of Mathematics, St. Petersburg (Russia)
Fudan University, Shanghai (China)
OTHER RESEARCH ACTIVITIES
Prof. K. Pileckas
• member of the Lithuanian Academy of Sciences;
• editorial board member of the journal Mathematical Fluid Mechanics, http://www.springer.com/birkhauser/physics/journal/21?detailsPage=editorialBoard;
• editorial board member of the journal Mathematical Modelling and Analysis, http://www.tandfonline.com/action/journalInformation?show=editorialBoard&journalCode=tmma20#.VlV1k7kw99A ;
• editorial board member of the journal Lithuanian Mathematical Journal, http://www.springer.com/mathematics/journal/10986?detailsPage=editorialBoard;
• editorial board member of the Journal of Elliptic and Parabolic Equations, http://www.orthogonal-editions.com/Board.html;
• editorial board member of the journal Mathematics, https://www.mdpi.com/journal/mathematics/editors .
Prof. O. Štikonienė
• managing Editor of the journal Lithuanian Mathematical Journal, http://www.springer.com/mathematics/journal/10986?detailsPage=editorialBoard
• member of the Lithuanian Mathematical Society.
Prof. A. Štikonas
• President of the Lithuanian Mathematical Society http://www.lmd.mif.vu.lt/prezidentas/
• deputy-editor-in-chief of the journal Nonlinear Analysis: Modelling and Control, http://www.journals.vu.lt/nonlinear-analysis/about/editorialTeam;
• executive editor of the journal Mathematical Modelling and Analysis,
https://journals.vgtu.lt/index.php/MMA/about/editorialTeam;
• editorial board member of the journal Lithuanian Mathematical Journal, http://www.springer.com/mathematics/journal/10986?detailsPage=editorialBoard.
Assoc. prof. . K. Kaulakytė
• member of the Lithuanian Mathematical Society.
DEPARTMENT OF STATISTICAL ANALYSIS
24 Naugarduko st., LT-03225 Vilnius
Tel. 219 3067
E-mail:
Head – Prof. Habil. Dr Vydas Čekanavičius
STAFF
Professors: Habil. Dr V. Bagdonavičius, Habil. Dr V. Čekanavičius, Habil. Dr R. Norvaiša (part-time), Habil. Dr A. Račkauskas (part-time), Habil. Dr M. Radavičius (part-time), Habil. Dr D. Surgailis (emeritus).
Research fellows: Habil. Dr R. Leipus, Dr R. Norvaiša (part-time), Dr A. Račkauskas (part-time).
Associate professors: Dr D. Celov, Dr V. Kazakevičius, T. Marčiulaitis (Partnership), Dr J. Markevičiūtė (part-time) Dr R. Levulienė, Dr V. Skorniakov.
Assistants: Dr A. Buteikis, Dr S. Jokubaitis, Dr J. Venskus.
Junior assistants: U. Čižikovienė, I. Kilienė, A. Medžiūnas.
Lecturers: Dr R. Eidukevičius, V. Maniušis.
RESEARCH INTERESTS
• Time series analysis, financial econometrics
• Functional data analysis
• Limit theorems in probability and their applications to statistics and econometrics
• Bootstrap and other resampling methods in statistics and econometrics
• Macroeconometric modelling
• High-frequency data analysis
• Statistical methods in reliability theory and survival analysis and their applications
• Asymptotic analysis of distributions of statistics, their approximations and applications
• Insurance Mathematics.
RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Analysis and Applications of Functions and Stochastic Systems. Assoc. Prof. Dr V. Skorniakov. 2022–2025.
The project involved:
a) rough functions analysis; b) functional data analysis; c) an approximation of stochastic systems; d) an investigation of long memory processes; e) group testing; and f) the applications of statistics in medicine.
Richter's type local large deviations were investigated for runs statistics approximating Poisson, negative binomial and binomial distributions. Compound Poisson approximation in total variation was obtained for a special Markov three-state model related to actuarial mathematics.
The optimal configuration for the Square Array Group testing algorithm was derived. The probabilistic properties of the optimal nested pairwise testing algorithm were investigated.
A bivariate integer-valued autoregressive process of order 1 with copula-joint innovations was proposed. Different parameter estimation methods were analysed and compared via Monte Carlo simulations. Empirical applications were provided. The functional data analysis approach is applied to modelling and analysing daily tax revenues. Some asymptotic results for the p-variation of the random walk were obtained and applied to a change point problem.
Main publications:
1. Balčiūnaitė, Giedrė, Besusparis, Justinas, Palionis, Darius, Žurauskas, Edvardas, Skorniakov, Viktor, Janušauskas, Vilius, Zorinas, Aleksejus, Zaremba, Tomas, Valevičienė, Nomeda, Šerpytis, Pranas et al. Exploring myocardial fibrosis in severe aortic stenosis: echo, CMR and histology data from FIB-AS study. Int J Cardiovasc Imaging (2022). https://doi.org/10.1007/s10554-022-02543-w
2. Čekanavičius, Vydas, Novak, Serguei. Compound Poisson Approximations. Probability
Surveys, 2022, 19, 271–350.
3. Danielius, Tadas; Račkauskas, Alfredas. Multiple change-point detection in a functional sample via the -sum process. Mathematics. Basel : MDPI. 2022, vol. 10, iss. 13, p. 1-27.
4. Markevičiūtė, Jurgita; Bernatavičienė, Jolita; Levulienė, Rūta; Medvedev, Viktor; Treigys, Povilas; Venskus, Julius. Impact of COVID-19-related lockdown measures on economic and social outcomes in Lithuania . Mathematics. Basel : MPDI. 2022, vol. 10, no. 15, p. 1-20.
5. Pilipauskaitė Vytautė, Surgailis Donatas. Local scaling limits of Levy driven fractional random fields. Bernoulli, 2022, 28: 2833-2861.
6. Jokubaitis Saulius, Leipus Remigijus. Asymptotic normality in linear regression with approximately sparse structure. Mathematics. 2022, 10, 1657.
National Research Projects
Closure Properties of Probability Distributions: Theory and Applications (No S-MIP-20-16). The Research Council of Lithuania. Prof. R. Leipus. 2020–2022.
The complete and systematic characterisation of closure properties to operations under consideration for heavy-tailed and related distribution was given. Some applications to risk measures and copulas were considered.
Main publications:
1. Konstantinides D., Leipus R., Šiaulys J. A note on product-convolution for generalized subexponential distributions. Nonlinear Analysis: Modelling and Control. 2022. 27. 1054–1067.
2. Konstantinides D., Leipus R., Šiaulys J. On the non-closure under convolution for strong subexponential distributions. Nonlinear Analysis: Modelling and Control. 2023. (forthcoming).
3. Jokubaitis S., Leipus R. Asymptotic normality in linear regression with approximately sparse structure. Mathematics. 2022, 10, 1657.
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)
University of the Aegean (Greece)
OTHER RESEARCH ACTIVITIES
Prof. A. Račkauskas
• editorial board member of the Lithuanian Mathematical Journal, http://www.springer.com/mathematics/journal/10986?detailsPage=editorialBoard ;
• editorial board member of the Mathematical Modelling and Analysis, http://www.tandfonline.com/action/journalInformation?show=editorialBoard&journalCode=tmma20#.VlV1k7kw99A;
• member of the Lithuanian Statistics Society, http://www.statistikusajunga.lt/index.php? option=com_content&task=view&id=5&Itemid=7;
• deputy of editor-in-chief of Lithuanian Journal of Statistics,
https://www.journals.vu.lt/statisticsjournal/about/editorialTeam
Prof. M. Radavičius
• editorial board member of the Lithuanian Mathematical Journal, http://www.springer.com/mathematics/journal/10986?detailsPage=editorialBoard ;
• editorial board member of the Modern Stochastics: Theory and Applications,
https://vmsta.org/journal/VMSTA/information/editorial-board;
• editor-in-chief of the Lithuanian Journal of Statistics,
http://www.journals.vu.lt/statisticsjournal/about/editorialTeam;
• member of the International Biometric Society, Nordic-Baltic Region;
• member of the Lithuanian Statistics Society board,
http://www.statistikusajunga.lt/Valdyba/
• member of the Lithuanian Mathematical Society.
Prof. V. Čekanavičius
• member of the Lithuanian Statistics Society,
http://www.statistikusajunga.lt/Nariai/
• editorial board member of Lithuanian Journal of Statistics,
https://www.journals.vu.lt/statisticsjournal/about/editorialTeam
Prof. R. Leipus
• member of the Lithuanian Academy of Sciences, http://lma.lt/index.php?option=com_k2&view=item&layout=item&id=345&Itemid=187&lang=lt;
• member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/;
• member of the Lithuanian Statistics Society;
• editorial board member of the Lithuanian Mathematical Journal, http://www.springer.com/mathematics/journal/10986?detailsPage=editorialBoard;
Prof. R. Norvaiša
• managing editor of the Lithuanian Mathematical Journal, http://www.springer.com/mathematics/journal/10986?detailsPage=editorialBoard ;
• associate editor of the North-Western European Journal of Mathematics;
• a representative of Lithuania in International Commision on Mathematical Instruction, https://www.mathunion.org/icmi/organisation/our-members/icmi-representatives;
• a member of consultation board for Universal Lithuanian Encyclopedia.
Prof. V. Bagdonavičius
• editorial board member of the Lithuanian Mathematical Journal, http://www.springer.com/mathematics/journal/10986?detailsPage=editorialBoard ;
• member of the Lithuanian Academy of Sciences, http://www.ktl.mii.lt/LMA/;
• member of the Lithuanian Mathematical Society;
• member of the Lithuanian Statistics Society, http://www.statistikusajunga.lt/Nariai/
http://www.statistikusajunga.lt/index.php?option=com_content&task=view&id=5&Itemid=7
Assoc. Prof. V. Kazakevičius
• member of the Lithuanian Mathematical Society.
Lecturer R. Eidukevičius
• member of the Lithuanian Mathematical Society;
• member of the Lithuanian Statistics Society, http://www.statistikusajunga.lt/Nariai/ http://www.statistikusajunga.lt/index.php?option=com_content&task=view&id=5&Itemid=7
Assoc. Prof. R. Levulienė
• member of the Statistical Council (an advisory body of Statistics Lithuanian);
• editorial board member of Lithuanian Journal of Statistics
• https://www.journals.vu.lt/statisticsjournal/about/editorialTeam
• member of the Lithuanian Statistics Society
• http://www.statistikusajunga.lt/Nariai/
• member of the Lithuanian Mathematical Society
Assoc. Prof. V. Skorniakov
• member of the Lithuanian Mathematical Society.
• member of the International Biometric Society, Nordic-Baltic Region;
MOST IMPORTANT PARTICIPATION CASES OF RESEARCHERS IN WORKING GROUPS OR COMMISSIONS SET UP BY STATE AUTHORITIES, STATE AND MUNICIPAL INSTITUTIONS AND ORGANISATIONS, AND BUSINESS ENTITIES
Prof. R. Leipus
• member of the European Mathematical Society European Solidarity Committee;
• member of the Ethics Committee at the Research Council of Lithuania;
• member of the Committee of recognition of foreign scientific degree at the Research Council of Lithuania;
• member of the Institute of Mathematical Statistics (IMS).
Prof. R. Norvaiša
• Member of a commission set up by Ministry of Education, Science and Sport to consult on school mathematics
MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES
K. Kaulakytė. Presentation “Applications of Mathematics”. St. Benedict’s High School, Alytus. 25 November 2022.