Faculty of Mathematics and Informatics

Sukurta: 09 April 2024

mif 24 Naugarduko, LT-03225 Vilnius
47 Didlaukios, LT-08303 Vilnius
4 Akademijos, LT-08412 Vilnius
Tel. 219 3050
E-mail: http://www.mif.vu.lt
Dean – Prof. Dr Paulius Drungilas

STAFF
156 teachers (incl. 105 holding research degree), 55 research fellows (incl. 48 holding research degree).

DEPARTMENTS OF THE FACULTY
Institute of Data Science and Digital Technologies
Institute of Computer Science
Institute of Mathematics
Institute of Applied Mathematics

RESEARCH AREAS
• Number Theory, Probability Theory, Stochastic Analysis, Risk Theory, Partial Differential Equations, Numerical Methods, Functional Analysis, Time Series Analysis, Econometrics, Mathematical Statistics, Mathematical Modelling, Geometry and Topology, Modern Elementary Mathematics, and Didactics;
• Mathematical Optimization, Global Optimization, Formal Methods, Cybersecurity, Image Processing, Cognitive Computing, Cyber-social Systems, Artificial Intelligence, and Multidisciplinary Statistics;
• Signal Analysis, Machine Learning, Deep Neural Networks, Blockchain Technologies, Quantum Computing, Robotics, and Natural Language Processing

DOCTORAL DISSERTATIONS MAINTAINED IN 2023
A. Medžiūnas. Various Classes of Stochastic Differential Equations: Existence, Uniqueness, and Approximation.
M. Karaliutė. Supervised Bayesian classification methods of Gaussian Spatio-temporal data based on generative machine learning models.
P. Gudžius. Automated Machine Learning for Accurate and Low-latency Object Recognition in Optical Satellite Imagery.
S. Paukštys. Properties of tail moments of heavy-tailed distributions.
T. Danielius. Changepoint detection using p-variation of CUSUM process.

MAIN CONFERENCES ORGANIZED IN 2023
1. 14th Conference “Data Analysis Methods for Software Systems”, November 30 – December 2, 2023, Druskininkai, Lithuania.
2. International Conference on Probability Theory and Number Theory 2023. The conference is dedicated to commemorating the 100th anniversary of Professor Jonas Kubilius, celebrating the 80th anniversary of Professor Donatas Surgailis, the 75th anniversary of Professors Antanas Laurinčikas and Eugenijus Manstavičius, and the 70th anniversary of Professors Kęstutis Kubilius and Alfredas Račkauskas. Palanga, September 10–16, 2023, https://www.numbertheory.lt.
3. International Conference „Stronger Together – Collaboration in Building Cyber Resilience“, Vilnius, December 7, 2023, https://cs.vu.lt/projects/ADVANCES
4. International coference Universalité, fonctions zêta et opérateurs chaotiques. CIRM, Luminy, France, August 07-11, https://conferences.cirm-math.fr/2911.
5. International workshop “Numerical Modeling in Hemodynamics”, 18-20 May, 2023, Vilnius, Trakai. Organizers: K. Kaulakytė, G. Panasenko, K. Pileckas.
MAIN SCIENTIFIC ACHIEVEMENTS IN 2023
1. The monograph titled “Derivative-free DIRECT-type Global Optimization: Applications and Software” comprehensively reviews the three-decade development of DIRECT-type algorithms. Additionally, it presents the first open-source toolbox (software) and a library of test and practical problems.
2. The theory on tropical circuits and their use as a rigorous mathematical model for dynamic programming (which is one of the most fundamental algorithmic paradigms for solving combinatorial, discrete optimization problems) has been developed and issued as a monograph.
3. All regularity classes of the distributions were classified. All closedness properties of such classes have been examined. A monograph has been published on this subject.

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
Interdisciplinary Statistical Research Group
Statistics and Probability Group
Artificial Intelligence Laboratory

RESEARCH AREAS
• Integrated development of mathematics, informatics and information technologies for the knowledge society advanced products and services

BLOCKCHAIN TECHNOLOGIES GROUP
4 Akademijos, LT-08663 Vilnius
Tel. (+370) 219 3299
E-mail:

Head – Prof. Dr Remigijus Paulavičius

STAFF
Research professor: Prof. Dr R. Paulavičius.
Senior researchers: Dr E. Filatovas, Doc. Dr V. Medvedev, Dr F. J. Orts.
Researcher: Dr L. Stripinis.
Lecturer: Dr A. Igumenov.
Junior researcher: Dr M. Juodis, M. Marcozzi.
Doctoral students: A. Budžys, J. Dautartas.

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

RESEARCH PROJECTS CARRIED OUT IN 2023
Projects Supported by the University Budget
Research and development of public, private, and consortium-type blockchain systems. Prof. Dr R. Paulavičius, 2018–2023.
Introduction of a set of improvements for implementing a quantum blockchain protocol based on hypergraphs aiming to reduce the required resources and operations and increase noise tolerance. Enhancing the state-of-the-art quantum circuits that underpin the quantum blockchain by optimizing the so-called T-count and T-depth. Evaluation of the effectiveness of proposed improvements on real quantum devices.
The Role of the DIRECT Algorithm in Derivative-Free Global Optimization. Development and DIRECT-Type Algorithms. Applications and Software of DIRECT-Type Algorithms.
Concentrated overview of the state-of-the-art Tourist Trip Design Problem (TTDP), including solution approaches. Model of personalized tourist trip design problem for a real-world application. A new greedy genetic algorithm to solve the designed TTDP. Evaluation of the performance of the proposed algorithm on the collected real-world dataset containing the main POIs of the City of London, using different complexity situations, and comparison it with other popular baseline algorithms. Introduction of a novel GlobeTrott Travel tourist recommendation system and access to it.
Main publications:
1. Stripinis, Linas; Paulavičius, Remigijus. Derivative-free DIRECT-type global optimization: applications and software. Cham: Springer Nature, 2023. X, 122 p. (SpringerBriefs in Optimization, ISSN 2190-8354, eISSN 2191-575X). ISBN 9783031465390. eISBN 9783031465376. DOI: 10.1007/978-3-031-46537-6
2. Paulavičius, Remigijus; Stripinis, Linas; Sutavičiūtė, Simona; Kočegarov, Dmitrij; Filatovas, Ernestas. A novel greedy genetic algorithm-based personalized travel recommendation system // Expert systems with applications. Oxford: Elsevier Ltd. ISSN 0957-4174. 2023, vol. 230, art. no. 120580, p. [1-18]. DOI: 10.1016/j.eswa.2023.120580
3. Orts Gomez, Francisco Jose; Paulavičius, Remigijus; Filatovas, Ernestas. Improving the implementation of quantum blockchain based on hypergraphs // Quantum information processing. New York : Springer. ISSN 1570-0755. eISSN 1573-1332. 2023, vol. 22, art. no. 330, p. [1-20]. DOI: 10.1007/s11128-023-04096-w

National Research Projects
Resolving research reproducibility problems in Artificial Intelligence using Blockchain Technologies (No. P-MIP-21-196). 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 with Reproducibility Crisis. Researchers need help reproducing many key results due to the disconnection between publications and used codes, 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 decentralized platform, which would be efficient, scalable, interoperable, and adaptable in various Artificial Intelligence research domains.
Main publications:
1. Orts Gomez, Francisco Jose; Paulavičius, Remigijus; Filatovas, Ernestas. Improving the implementation of quantum blockchain based on hypergraphs // Quantum information processing. New York : Springer. ISSN 1570-0755. eISSN 1573-1332. 2023, vol. 22, art. no. 330, p. [1-20]. DOI: 10.1007/s11128-023-04096-w
2. Orts, Francisco; Filatovas, Ernestas; Ortega, Gloria; Garzon, Ester M. A quantum circuit to generate random numbers within a specific interval // EPJ quantum technology. New York: Springer Nature. ISSN 2662-4400. eISSN 2196-0763. 2023, vol. 10, art. no. 17, p. [1-16]. DOI: 10.1140/epjqt/s40507-023-00174-1
3. Gudžius, Povilas; Kurasova, Olga; Darulis, Vytenis; Filatovas, Ernestas. AutoML-based neural architecture search for object recognition in satellite imagery // Remote sensing. Basel : MDPI. eISSN 2072-4292. 2023, vol. 15, iss. 1, art. no. 91, p. [1-24]. DOI: 10.3390/rs15010091

Excellence Centre “Data Centre for Machine Learning and Quantum Computing in the Life and Biomedical Sciences” project on “Development and validation of quantum machine learning methods using pre-built data sets”. Ministry of Education and Science (Lithuania). Prof. Dr R. Paulavičius, 2023–2027.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
Poznan Supercomputing and Networking Center (PSNC)
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
• Vice-president of Lithuanian Quantum Technology Association;
• 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;
• member of program committees of the international conferences:
o NUMTA2023
o BLOCKCHAIN'23
• topic editor of Mathematics;
• affiliate member of the European Network of Excellence on High Performance and Embedded Architecture and Compilation (HiPEAC).

Dr E. Filatovas
• member of the International Society on Multiple Criteria Decision Making (MCDM);
• member of the Artificial Intelligence and Digital Transformation working group of the Arqus University Alliance;
• member of the Lithuanian Computer Society (LIKS);
• member of Program/Scientific Committees:
○ BLOCKCHAIN'23
• Reviewer in the following scientific journals:
o Expert systems with Applications
o IEEE Transactions on Systems, Man and Cybernetics: Systems
o Computers and Electrical Engineering
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
• Reviewer in the following scientific journals:
o Journal of Global Optimization
o Computational Optimization and Applications
o Engineering Optimization
o Mathematics
o Scientific Reports
Dr A. Igumenov
2. member of Lithuanian Computer Society, http://www.liks.lt/.
Dr M. Juodis
3. Reviewer in the scientific journal Computer communications

BEST REPORTS DELIVERED AT CONFERENCES ABROAD
1. Dr E. Filatovas. Towards Reproducible Research in AI via Blockchain at 4th International Conference and Summer School NUMTA 2023 “Numerical Computations: Theory and Algorithms” June 14-20, 2023, Calabria, Italy.
2. Dr Viktor Medvedev. Enhancing keystroke biometric authentication using deep learning techniques at 18th Iberian Conference on Information Systems and Technologies (CISTI), June 20-23, 2023, Aveiro, Portugal.
3. Arnoldas Budžys. Behavioral biometrics authentication in critical infrastructure using siamese neural networks at HCI-CPT: 5th international conference on hci for cybersecurity, privacy and trust, July 23-28, 2023, Kopenhaga, Denmark.

MOST IMPORTANT NATIONAL AND INTERNATIONAL AWARDS RECEIVED FOR R&D ACTIVITIES
• Dr L. Stripinis received the VU Rector Science Award

MOST IMPORTANT PARTICIPATION CASES OF RESEARCHERS IN WORKING GROUPS OR COMMISSIONS SET UP BY STATE AUTHORITIES, STATE AND MUNICIPAL INSTITUTIONS, ORGANISATIONS, BUSINESS ENTITIES
1. R. Paulavičius – member of Innovation Agency's Smart Specialisation Priority “ICT Working Group”;
2. R. Paulavičius – member of the Advisory Working Group (AWG) of the Lithuanian Science Council's European Horizon (EH) Programme Action Group 4 “Digital Technologies, Industry, Space”;
3. R. Paulavičius – member of the FinTech & Blockchain Focus Group of the Innovation Agency's ICT Roadmap Focus Group;

CONSULTATIONS PROVIDED BY THE UNIT TO THE PUBLIC OR ECONOMIC ENTITIES
• Prof. Dr R. Paulavičius conducted the expert evaluation of the National Research Agency (ANR) application for AAPG 2023 (France).
• Prof. R. Paulavičius provided expert insights for the draft vision of Lithuania's future (state progress strategy) “Lithuania 2050”

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES
1. Cooperation agreement between VU and PSNC on quantum technologies:
https://www.delfi.lt/login/progresas/mokslas/lietuva-jungiasi-prie-didziausio-kvantinio-tinklo-pasaulyje-94053847
https://www.psnc.pl/vilnius-university-begins-cooperation-with-the-poznan-supercomputing-and-networking-center-psnc-in-the-field-of-quantum-technologies/
2. A new association has been established to develop quantum technologies in Lithuania:
https://www.lrt.lt/naujienos/mokslas-ir-it/11/2132276/isteigta-lietuvos-kvantiniu-technologiju-asociacija
https://www.vz.lt/inovacijos/technologijos/2023/11/23/siekiant-aktyviau-vystyti-kvantines-technologijas-lietuvoje-ikurta-asociacija
3. Research dissemination publication on the LRT news portal on the importance of Internet of Things (IoT) technologies in our lives:
https://www.lrt.lt/naujienos/mokslas-ir-it/11/1870887/15-mlrd-prijungtu-prietaisu-daiktu-internetu-naudojames-patys-to-nezinodami

COGNITIVE COMPUTING GROUP
4 Akademijos, LT-08663 Vilnius
Tel. 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
• Cognitive science
• Data mining
• Deep learning
• Global optimization methods
• Multi-objective optimization
• Image analysis, feature detection, image reconstruction, medical image processing
• Internet data mining
• Fractal dimensionality
• Local optimization methods
• Machine learning
• Medical data analysis and decision support
• Multiple criteria decision support
• Operations research
• Optimal control applications
• Parallel computing
• Simulation models in epidemiology, education, economics, and energy with uncertainty
• Statistical simulation
• Stochastic programming
• Swarm intelligence
• Visualization of multidimensional data
• Web service development

RESEARCH PROJECTS CARRIED OUT IN 2023
International Research Project
Correcting misperceptions of Covid-19 data: an Innovative E-platform CognitiveSTATS for Training Statistical Intuitions in the General Public (No. 01.2.2-LMT-K-718-05-0042) 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 in 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 the public’s statistical intuition training platform. 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 to get infected, the economic consequences of the pandemic etc.) and evaluate more critically data and information, spreading in the public sphere, including those shared on social media. In order to ensure the effectiveness and the attractiveness of the platform, three innovative milestones will be used for its development: evidence from cognitive science, principles of gamification, and visualizations of Covid-19 data. In this way, the project aims at educating the society, training their skills, and as a consequence, significantly influencing the attitudes and behavior 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 pandemic or crisis situations and that population attitudes and behavior are an essential factor 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
Institute of Archaeology University of Wrocław (Poland)
State Cultural Rezerve of Kernavė (Lithuania)
University of Copenhagen (Denmark)
University of Latvia (Latvia)
University of Tartu (Estonia)

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:
• The WorldCist'21 - 9th World Conference on Information Systems and Technologies;
• ESSE 2021, 2nd European Symposium on Software Engineering;
• IEEE INISTA 2021, International Conference on INnovations in Intelligent SysTems and Applications (INISTA);
• 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 Lithuanian Academy of Science, http://lma.lt;
• 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.
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
• member of the International Speech Communication Association
Doctoral student R. Puronaitė
• member of the International Society for Clinical Biostatistics, https://www.iscb.info/

BEST REPORTS DELIVERED AT CONFERENCES ABROAD
1. Mockus, A. (2023). Securing LLM-based Software Supply Chains. 38th IEEE/ACM International Conference on Automated Software Engineering (ASE 2023), Track: ASE 2023 SATE - Software Engineering at the Era of LLMs. https://conf.researchr.org/details/ase-2023/ase-2023-sate-software-engineering-at-the-era-of-llms/5/Securing-LLM-based-Software-Supply-Chains
2. Melnik-Leroy, G. A., & Navickas, G. (2023). Can Better Perception Become a Disadvantage? Synthetic Speech Perception in Congenitally Blind Users. INTERSPEECH 2023, August, 1100–1103. https://doi.org/10.21437/interspeech.2023-2013

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 – Assoc. Prof. Dr Audronė Lupeikienė

STAFF
Research fellows: Dr Romas Alonderis, Dr Saulius Maskeliūnas, Dr Jolanta Miliauskaitė.
Associate professors: Assoc. Prof. Dr Audronė Lupeikienė, Dr Jolanta Miliauskaitė,
Dr Asta Slotkienė.
Assistant research fellow: Laima Paliulionienė.
Affiliated researchers: Assoc. Prof. Dr Saulius Gudas, Prof. Habil. Dr Stasys Jukna,
Assoc. Prof. Dr Aida Pliuškevičienė.
Doctoral student: Karolis Noreika.

RESEARCH INTERESTS
Cyber-social systems engineering:
• Models, methods, and tools for cyber-social systems;
• Intelligent systems for digital business;
• Foundations of causality-based enterprise software engineering;
• Causal modeling of enterprise management activities and business processes;
• Model-based application development methods for different types of systems (enterprises, Internet of Things, smart systems, etc.).
Mathematical logic:
• Automated deduction;
• Knowledge analysis methods;
• Deductive systems.

RESEARCH PROJECTS CARRIED OUT IN 2023
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 Saulius Gudas 2021–2023,
Assoc. Prof. Dr Audronė Lupeikienė 2023.
Main results:
1. The theory on tropical circuits and their use as a rigorous mathematical model for dynamic programming, which is one of the most fundamental algorithmic paradigms for solving combinatorial, discrete optimization problems.
2. A modified Agile project management process model using the causal modeling method is created. The causal Agile management hierarchy is formalized; quantitative parameters to evaluate the state of the project are defined; a knowledge repository model was developed.
3. The method of causal modeling is applied for the quality of Web services modeling. A three-dimensional semantic space was created for the modeling of service quality parameters.
Main publications:
1. Jukna, Stasys. Tropical circuit complexity: limits of pure dynamic programming. Cham: Springer Nature, 2023. 129 p. (Springer Briefs in Mathematics, ISSN 2191-8198, eISSN 2191-8201). ISBN 9783031423536. eISBN 9783031423543. DOI: 10.1007/978-3-031-42354-3. Available at: https://link.springer.com/book/10.1007/978-3-031-42354-3%20%20.
2. Kalibatienė, Diana; Miliauskaitė, Jolanta; Slotkienė, Asta; Gudas, Saulius. On the development of the web service quality modelling space // Expert systems with applications. Oxford: Elsevier. ISSN 0957-4174. eISSN 1873-6793. 2023, 211, art. no. 118584, p. 1-12. DOI: 10.1016/j.eswa.2022.118584. Available at: https://www.sciencedirect.com/science/article/pii/S0957417422016438?via%3Dihub.
3. Noreika, Karolis; Gudas, Saulius. Causal knowledge modelling for Agile development of enterprise application systems // Informatica. Vilnius : Vilniaus universiteto leidykla. ISSN 0868-4952. eISSN 1822-8844. 2023, vol. 34, no. 1, p. 121-146. DOI: 10.15388/23-INFOR510. Available at: https://informatica.vu.lt/journal/INFORMATICA/article/1287/info

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
Riga Technical University (Latvia)
University of Tartu (Estonia)
Systems Research Institute Polish Academy of Sciences
University of Geneva (Switzerland)
University of Frankfurt (Germany)

OTHER SCIENTIFIC ACTIVITIES
Prof. Dr Saulius Gudas
• IFIP TC8 Information Systems member;
• representative of the National Digital Coalition from LIKS;
• reviewer of the journal Informatica, https://www.mii.lt/informatica/;
• reviewer of the journal Information systems and e-business management, https://link.springer.com/journal/10257 ;
• reviewer of the Baltic Journal of Modern Computing, https://www.bjmc.lu.lv/ ;
• reviewer of the journal Complex Systems Informatics and Modeling Quarterly, https://csimq-journals.rtu.lv/index ;
• reviewer of the MDPI journal Information, http://www.mdpi.com/journal/information/ ;
• program committee member of the 24th International Conference on Computer Systems and technologies (CompSysTech'23), https://www.compsystech.org/_cst23/index.php?cmd=dPage&pid=pc .
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. Dr Audronė Lupeikienė
• editorial board member and reviewer of the Scientific Journal of Riga Technical University: Applied Computer Systems, https://acs-journals.rtu.lv/;
• reviewer of the journal Informatica, https://www.mii.lt/informatica/;
• steering committee member of the International Baltic Conference on Digital Business and Intelligent Systems (Baltic DB&IS), https://dbis2022.lu.lv/about/organisation/;
• program committee member of the 16th International Conference on Agents and Artificial Intelligence (ICAART 2024), https://icaart.scitevents.org/ProgramCommittee.aspx, of the 27th European Conference on Advances in Databases and Information Systems (ADBIS 2023) https://www.essi.upc.edu/dtim/ADBIS2023/index.html?p=program_committee.
Dr Saulius Maskeliūnas
• Chairman of the Council & President 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 https://eshop.lsd.lt/public#!/committee/info/6040 ;
• Member of the State Commission of the Lithuanian Language Sub-Commission of Language Technologies https://vlkk.lt/struktura-ir-kontaktai/komisija/pakomises ;
• "Encyclopaedia for Lithuania and the World" ( www.Lietuvai.lt ) Board of Editors member https://lietuvai.lt/wiki/Enciklopedija:Bendruomen%C4%97 ;
• 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 ;
• 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 ;
• International AIQT Foundation Advisory Board member (in Artificial Intelligence) https://www.inaiqt.com/about/foundation-advisory-board/ ;
• program committee member of the 16th International Baltic Conference on Digital Business and Intelligent Systems (Baltic DB&IS 2024) https://dbis2024.vu.lt/organisation/programme-committee ;
• PC head and OC member of the Biennial National Conference “Computer Days 2023” https://www.liks.lt/kodi-2023/ .
Dr Jolanta Miliauskaitė
• reviewer of the Baltic Journal of Modern Computing, https://www.bjmc.lu.lv/ ;
• member of the Council of the Lithuanian Computer Society (LIKS).
Laima Paliulionienė
• organizing committee member and webmaster of the 16th International Baltic Conference on Digital Business and Intelligent Systems (Baltic DB&IS 2024), https://dbis2024.vu.lt/ .
Dr Asta Slotkienė
• reviewer of the Baltic Journal of Modern Computing, https://www.bjmc.lu.lv/ .

EDUCATION SYSTEM GROUP
4 Akademijos, 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 V. Dolgopolovas, Dr T. Jevsikova
Research fellows:, Dr A. Juškevičienė,
Doctoral students: S. Bagočienė, V. Masiulionytė-Dagienė
Affiliated senior research fellows: Assoc. Prof. Dr G. Grigas, Dr L. Markauskaitė.

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

RESEARCH PROJECTS CARRIED OUT IN 2023
Research on educational environments and technologies to improve the quality of education. Prof. Dr V. Dagienė, 2021–2023.
Main objective of the theme: To study the problems of designing, integrating and personalising interactive educational environments and technologies in education.
Main publications:
1. Juškevičienė, Anita; Pears, Arnold; Jevsikova, Tatjana; Stupurienė, Gabrielė. Computational thinking design application for STEAM education // Data science in applications / editors: Gintautas Dzemyda, Jolita Bernatavičienė, Janusz Kacprzyk. Cham : Springer International Publishing, 2023. ISBN 9783031244520. eISBN 9783031244537. p. 1-26. (Studies in Computational Intelligence, ISSN 1860-949X, eISSN 1860-9503 ; 1084). DOI: 10.1007/978-3-031-24453-7_1. [Indėlis: 0,750] [M.kr.: T 007]
2. Stumbrienė, Dovilė; Jevsikova, Tatjana; Kontvainė, Vita. Key factors influencing teachers’ motivation to transfer technology-enabled educational innovation // Education and information technologies: Special Issue on: What will be the new normal? Digital competence and 21st century skills: critical and emergent issues in the K-12 education. New York : Springer Nature. eISSN 1573-7608. 2023, Early Access, p. 1-35. DOI: 10.1007/s10639-023-11891-6. [Social Sciences Citation Index (Web of Science); Scopus; DBLP] [IF: 5,500; AIF: 3,000; IF/AIF: 1,833; Q1 (2022, InCites JCR SSCI)] [M.kr.: T 007, S 007, N 00]
3. Dagienė, Valentina; Gülbahar, Yasemin; Grgurina, Natasa; López-Pernas, Sonsoles; Saqr, Mohammed; Apiola, Mikko; Stupurienė, Gabrielė. Computing education research in schools // Past, present and future of computing education research: a global perspective / editors: Mikko Apiola, Sonsoles López-Pernas, Mohammed Saqr. Cham : Springer International Publishing, 2023. ISBN 9783031253355. eISBN 9783031253362. p. 481-520. DOI: 10.1007/978-3-031-25336-2_20. [SpringerLink] [Indėlis: 0,290] [M.kr.: T 007]

International Research Projects
2020-2024 m. COST: EUGAIN - CA19122 European Network for Gender Balance in Informatics. (Prof. Dr V. Dagienė, Dr Anita Juškevičienė)
2021-2024 m. Erasmus+ KA220-HED. Future IT Professionals Education in Artificial Intelligence. (Prof. Dr V. Dagienė, Dr V. Dolgopolovas)

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 Paedagogica 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/

BEST REPORTS DELIVERED AT CONFERENCES ABROAD
1. Vaida Masiulionytė-Dagienė. Modeling of the system for computational thinking automatic assessment. ITiCSE 2023: Conference on innovation and technology in computer science education. July 7– 12 d., 2023 m. Turku, Finland. https://doi.org/10.1145/3587103.3594218
2. Anita Juškevičienė, Valentina Dagienė, Asta Meškauskienė. Physical Computing to Motivate Girls for STEAM Education. International Edusimsteam Innovative Practices and Policy Making in STEAM Education Conference. https://edusimsteam.eba.gov.tr/en/international-edusimsteam-innovative-practices-and-policy-making-in-steam-education-conference/

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES
1. Valentina Dagienė and Tatjana Jevsikova have organized International Challenge on Informatics and Computational Thinking “Bebras”, they create, translate, test tasks and develop methodological materials for teachers.
2. Valentina Dagienė in cooperation with Institute of Educational Sciences have organized the International Doctoral Consortium – School on Engineering Education Research in Druskininkai, December 4-8, 2023.
3. International journal “Informatics in Education” Scopus citation index 5.5 (2022 year). WoS Journal Impact Factor – 2.7.

GLOBAL OPTIMIZATION GROUP
4 Akademijos, 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
• Optimization and high-performance computing

RESEARCH PROJECTS CARRIED OUT IN 2023
Projects Supported by the University Budget
Global Optimization. Prof. Dr J. Žilinskas.
The aim is development of global optimization algorithms and application of them to optimization problems.
The main results were: global optimization algorithms with constraints; heuristic algorithms for facility location problems; Bayesian global optimization; linear convolution computations online optimization algorithm.
Main publications:
1. P. Fernández, A. Lančinskas, B. Pelegrín, J. Žilinskas (2023). A discrete competitive facility location model with proportional and binary rules sequentially applied. Optimization Letters, 17, 867–877. DOI:10.1007/s11590-022-01938-x
2. S. Tautvaišas, J. Žilinskas (2023). Heteroscedastic Bayesian optimization using generalized product of experts. Journal of Global Optimization. DOI:10.1007/s10898-023-01333-5

International Research Projects
2023–2024 COST Action CA22137 ROAR-NET – Randomised Optimisation Algorithms Research Network. (A. Lančinskas, J. Žilinskas)

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)
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 European Network of Excellence on High Performance and Embedded Architecture and Compilation (HiPEAC), http://www.hipeac.net;
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
o Journal of Global Optimization
o Nonlinear Analysis: Modelling and Control
o Informatica

BEST REPORTS DELIVERED AT CONFERENCES ABROAD
1. Julius Žilinskas, invited speaker, Discrete Competitive Facility Location and Ranking of Candidates in Optimization Algorithms, 21st International Conference of Numerical Analysis and Applied Mathematics, September 11-17, 2023, Heraklion, Greece.
2. Julius Žilinskas, Algirdas Lančinskas, Pascual Fernández, Blas Pelegrín, Discrete Facility Location with Ranking of Location Candidates Using High-Performance Computing Systems, 4th International Conference and Summer School NUMTA 2023 "Numerical Computations: Theory and Algorithms", June 14-20, 2023, Calabria, Italy
3. Mindaugas Kepalas, Julius Žilinskas, 2-Dimensional Net-Constrained Clustering Problem, 2023 World Congress on Global Optimization (WCGO 2023) July 10-14, 2023, Athens, Greece

MOST IMPORTANT NATIONAL AND INTERNATIONAL AWARDS RECEIVED FOR R&D ACTIVITIES
1. Julius Žilinskas, European Society of Computational Methods in Science and Engineering, Honorary Fellowship for outstanding contribution in Global Optimization and Data Analysis

IMAGE AND SIGNAL ANALYSIS GROUP
4 Akademijos, LT-08663 Vilnius
Tel. 210 9328
E-mail:
Head – 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, S. Virbukaitė, M. Danilovaitė, R. Jurkus, A. Vaitulevičius,
R. Surkant, J. Ramonaitė, G. Mikalkėnienė, D. Zakševski, K. Karlauskas
Study staff: L. Aidokas, A. Rasmusson, J. Globienė, M. Liutvinavičius, G. Navickas, J. Jucevičius

RESEARCH INTERESTS
• Audio and image signal processing
• Pattern recognition
• Robotics
• Machine learning
• Artificial intelligence
• Natural language processing

RESEARCH PROJECTS CARRIED OUT IN 2023
National Research Projects
The project of Research Council of Lithuania "Research on propaganda and disinformation: automatic recognition by machine learning, impact and societal resilience", 2023-09-01-2026-06-30, Gražina Korvel: principal researcher.

Postdoctoral Project “Investigating speech in the presence of noise interferences employing signal processing and machine learning methods”, 2021-07-2023.07, Gražina Korvel: principal researcher, Povilas Treigys - supervisor.

International Research Projects
COST action CA18231 "Multi3Generation: Multi-task, Multilingual, Multi-modal Language Generation", Member of Managing Committee Dr G. Korvel 2019-2023
Language generation (LG) is a crucial technology if machines are to communicate with humans seamlessly using human natural language. A great number of different tasks within Natural Language Processing (NLP) are language generation tasks, and being able to effectively perform these tasks implies (1) that machines are equipped with world knowledge that can require multi-modal processing and reasoning (e.g. textual, visual and auditory inputs, or sensory data streams), and (2) the study of strong, novel Machine Learning (ML) methods (e.g. structured prediction, generative models), since virtually all state-of-the-art NLP models are learned from data. Moreover, human languages can differ wildly in their surface realisation (i.e. scripts) as well as their internal structure (i.e. grammar), which suggests that multilinguality is a central goal if machines are to perform seamless language generation. Language generation technologies would greatly benefit both public and private services offered to EU citizens in a multilingual Europe and have strong economic and societal impacts.

COST action CA21167 "Universality, diversity and idiosyncrasy in language technology (UniDive)", Member of Managing Committee Dr G. Korvel 2022-2026
Efficient access to the constantly growing quantities of data, especially of 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 optimization-based technological progress poses an important challenge: accounting for and fostering language diversity. The UniDive Action takes two original stands on this challenge. Firstly, it aims at embracing 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, (iii) boost and coordinate universality- and diversity-driven development of language resources and tools. UniDive builds upon previous experience of European networks and projects which 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:
1. Feature space analysis for machine-based recognition.
2. Machine learning algorithms for multiscale data analysis.
3. Machine learning methods for language generation.
4. Efficient deployment of fractal theory to industry applications.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
1. Hospital Kauno klinikos of Lithuanian University of Health Sciences (Lithuania)
2. MB Sauliaus Vaitkaus ausų, nosies, gerklės ligų klinika (Lithuania)
3. Forensic Science Centre of Lithuania (Lithuania)
4. Vilnius University Hospital Santaros klinikos (Lithuania)
5. National Cancer Institute (Lithuania)
6. Gdansk University of Technology, Faculty of Electronics, Telecommunications and Informatics, Audio Acoustics Laboratory
7. Aveiro University, Portugal
8. Konstantinos Diamantaras, Department of Information and Electronic Engineering, International Hellenic University, Greece
9. Elena Lloret, Department of Software and Computing Systems, University of Alicante, Alicante, Spain
10. 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. Chairman of the IEEE Lithuania Section Computer Society section.
• Member of European Association For Signal Processing (EURASIP).
Dr G. Korvel
• Member of Lithuanian Computer Society, http://www.liks.lt;
• Member of the Young Academy of the Lithuanian Academy of Sciences https://www.lma.lt/jaunoji-akademija
• 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/
• Member of IEEE Computer Society https://www.ieee.org/
• Editorial board member:
o A member of editorial board of The Journal of Intelligent Information Systems
• Reviewer of international journals:
o Journal of the Audio Engineering Society www.aes.org/journal;
o Archives of Acoustics acoustics.ippt.gov.pl;
o Metrology and Measurement Systems http://www.metrology.pg.gda.pl;
o Journal of Intelligent Information Systems https://link.springer.com/journal/10844;
o Information Technology and Control http://itc.ktu.lt;
o Informatica www.mii.lt/informatica;
o Pattern Recognition Letters www.journals.elsevier.com/speech-communicat;
o Speech Communication www.journals.elsevier.com/speech-communication;
o Symmetry https://www.mdpi.com/journal/symmetry
o Applied Sciences https://www.mdpi.com/journal/applsci
o 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 IEEE http://www.ieee.org;
• 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;

BEST REPORTS DELIVERED AT CONFERENCES ABROAD
1. G. Navickas, G. A. Melnik-Leroy. Can Better Perception Become a Disadvantage? Synthetic Speech Perception in Congenitally Blind Users // 24th INTERSPEECH Conference, 20-24 August 2023, Dublin, Ireland.
2. Surkant, R., Bernatavičienė, J., Naruševičiūtė, I., Trakymas, M., & Treigys, P. Time-signal curve evaluation from dynamic contrast-enhanced MRI for prostate cancer detection. The 11th IEEE International Conference on E-Health and Bioengineering - EHB 2023 Grigore T. Popa University of Medicine and Pharmacy Iasi, November 9-10, 2023, Bucharest, Romania.
3. Virbukaitė, Sandra; Bernatavičienė, Jolita. Deep Neural Networks application for Cup-to-Disc ratio estimation in eye fundus images // Proceedings of the 18th conference on computer science and intelligence systems, September 17–20, 2023. Warsaw, Poland / Maria Ganzha, Leszek Maciaszek, Marcin Paprzycki, Dominik Ślęzak (eds.). Warsaw : Polskie Towarzystwo Informatyczne, 2023. eISBN 9788396744784. p. 1191-1195. (Annals of computer science and information systems, ISSN 2300-5963 ; vol. 35). DOI: 10.15439/2023F944.
4. Stankevičius, Dominykas; Treigys, Povilas. Investigation of machine learning methods for colour audio noise suppression // 2023 18th Iberian Conference on Information Systems and Technologies (CISTI), 20–23 June 2023, Aveiro, Portugal. New York : IEEE, 2023. ISBN 9798350305272. eISBN 9789893347928. eISSN 2166-0727. p. [1-6]. DOI: 10.23919/CISTI58278.2023.10211742.
5. Ramonaitė, J., Korvel, G. (2023, April). Noisy Phoneme Recognition Using 2D Convolution Neural Network. In 2023 IEEE 10th Jubilee Workshop on Advances in Information, Electronic and Electrical Engineering (AIEEE) (pp. 1-6). IEEE.

MOST IMPORTANT NATIONAL AND INTERNATIONAL AWARDS RECEIVED FOR R&D ACTIVITIES
1. Project LIEPA-2 received the award as one of the best projects, funded by the Ministry of Transportation. Award„Progreso kelias 2023“ (The Way of the Progress 2023), category “Pilietiškiausias projektas” (Best social project). Project participants from Image and Signal Analysis Group: Gediminas Navickas, Gintautas Tamulevičius, Gražina Korvel, Jolita Bernatavičienė.

MOST IMPORTANT PARTICIPATION CASES OF RESEARCHERS IN WORKING GROUPS OR COMMISSIONS SET UP BY STATE AUTHORITIES, STATE AND MUNICIPAL INSTITUTIONS, ORGANISATIONS, BUSINESS ENTITIES
1. Participation in an AI foresight workshop organised by the European Commission's Scientific Advice Mechanism (SAM). Selected experts discussed what the future of science with AI could look like and formulated scientific recommendations for the European Commissioners. (Brussels, Belgium, 26 October 2023)

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES
1. TV show „Labas rytas“ on National TV LRT, dissemination about research on speech recognition and synthesis, robotics and artificial intelligence at VU DMSTI, November 9, 2023, Gediminas Navickas, (from 14:05 min): https://www.lrt.lt/mediateka/irasas/2000304130/labas-rytas-lietuva-i-d
2. Povilas Treigys LRT.LT On compulsory AI training in schools: “Can we turn a blind eye to innovation?” https://www.lrt.lt/naujienos/mokslas-ir-it/11/2048647/apie-privaloma-dirbtinio-intelekto-mokyma-mokyklose-ar-mes-galime-uzsimerkti-kai-ateina-naujoves
3. Gražina Korvel. Presentation at the Seimas Committee for the Future on "Artificial Intelligence in Speech Signal Processing. Potential challenges and risks" (2023-06-02)
4. Gintautas Tamulevičius. "The other – a spectral approach to the adult voice and its characteristics". Klaipėda Region Otorhinolaryngology Association and Klaipėda University Conference "Topicalities of Voice Disorders", December 8, 2023, Klaipėda.
5. Gintautas Tamulevičius. Interview on Speech signal technologies, for LNK TV, shown on November 13, 2023 [https://lnk.lt/zinios/Visi/222178].

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

STAFF
Principal researchers: Prof. Dr Darius Plikynas, Prof. Dr Jūratė Ruzaitė.
Senior researchers: Prof. Dr Virginijus Marcinkevičius, Prof. Dr Darius Plikynas, Prof. Dr Igoris Belovas.
Researchers: Dr Mantas Martišius.
Junior researchers: Ieva Rizgelienė.
Affiliated researchers: Prof. Habil. Dr Leonidas Sakalauskas, Dr Stasys Steišūnas,
Junior assistants: Aivaras Bielskis, Rolandas Gricius
Profesors: Prof. Dr Virginijus Marcinkevičius , Dr Igoris Belovas.
Doctoral students: Aivaras Bielskis , Chaževskas Andrius, Dulskis Vytautas, Gricius Rolandas, Saulius Grigaitis, Ieva Rizgelienė, Brendonas Stakauskas, Urbonaitė Neringa, Vaitkevičius Paulius.
Other staff: Lukas Kuzma, Paulius Zaranka

RESEARCH INTERESTS
• Machine learning and its application
• Artificial intelligence and its application
• Natural language processing
• Cyber security
• Mathematical modeling
• Image analysis
• Data mining and visualization
• Application of modeling, classification and clustering methods in medicine (e.g. in genetics) and economics
• Optimization. Application of stochastic optimization methods in engineering
• Multi-agent systems: simulation and application in social research
• Propaganda and disinformation recognition, classification and societal impact modeling
• Experimental mathematics
• Analytic number theory

RESEARCH PROJECTS CARRIED OUT IN 2023
Projects Supported by the University Budget
Research theme "Theoretical and applied aspects of machine learning and mathematical modelling (2019–2023)"
Main goal – to develop and explore models based on machine learning and mathematical modelling for cyber security, anomalous data detection, real-time data classification, prediction, and explanation of results.
Main results:
1. Proposed a benchmark for hyperspectral unmixing algorithm evaluation.
2. The inequality concerning absolute values of the Riemann zeta function at places symmetric with respect to the critical line has been proven, thus finalizing the problem posed more than 60 years ago.
3. The main term of asymptotic of the geometric polynomials has been obtained.
Main publications:
1. Paura, Vytautas; Marcinkevičius, Virginijus. Benchmark for hyperspectral unmixing algorithm evaluation // Informatica. Vilnius : Vilniaus universiteto leidykla. ISSN 0868-4952. eISSN 1822-8844. 2023, vol. 34, no. 2, p. 285-315. DOI: 10.15388/23-INFOR522. (Impact Factor 2022: 2,9; Q1: Mathematics Applied, Q3: Computer Science, Information Systems)
2. Belovas, Igoris. The asymptotics of the geometric polynomials // Mathematica Slovaca, 73 (2), 335-342. DOI: 10.1515/ms-2023-0026 (Impact Factor 2022: 1,6; Q1: Mathematics)
3. Belovas, Igoris. An inequality for the Riemann zeta function // Acta Mathematica Hungarica, 2023, 170(1), 367-378. DOI: 10.1007/s10474-023-01329-3 (Impact Factor 2022: 0,9; Q2: Mathematics)

National Research Projects
LSC project “Efficient algorithms for the visualization of Mandelbulbs associated with the Riemann zeta function” / „Mandelbroto apvalkų, susietų su Rymano dzeta funkcija, vizualizavimo efektyvieji algoritmai“, (project Nr. P- SV-23-9: Investigator – L. Kuzma. Supervisor - I. Belovas).

National government commissioned studies: Priority Research Programme 2023-2026 "Building Societal Resilience and Crisis Management in the Context of Contemporary Geopolitical Developments". Implementation via Lithuanian Research Council.

Propaganda and disinformation research: machine learning-based automatic recognition, impact and societal resilience
Funding agreement: 30 June 2023, No. S-VIS-23-8.
Implementation period: 01.09.2023 - 30.06.2026.
Financing amount: 195607 EUR.
Partners: University of Arkansas, UAB Delfi, University of Cyprus, Strategic Communication Department of the Lithuanian Armed Forces, VŠĮ Lietuvos nacionalinis radijas ir televizija.
The aim of the project is to develop a recommendation decision support tool for automatic detection of propaganda and disinformation in media news portals and social network messages using machine learning methods.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
SAP (Germany)
Neurotechnology (Lithuania)
University of Tartu (Estonia)
Vilnius Gediminas Technical University (Lithuania)
Strategic Communications Department of the Lithuanian Armed Forces (Lithuania)
Lithuanian National Radio and Television (Lithuania)
UAB Delfi (Lithuania)
University of Arkansas (US)
University of Cyprus (Cyprus)

OTHER RESEARCH 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
• Reviewer of international journal “Informatica”
• Reviewer of international journal “Mathematical Modeling and Analysis”
• Reviewer of international journal “Nonlinear Analysis: Modelling and Control”
Prof. Dr V. Marcinkevičius
• Member 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.
• Member of Artificial Intelligence Doctoral Academy (AIDA), https://www.i-aida.org/

BEST REPORTS DELIVERED AT CONFERENCES ABROAD
1. R. Gricius, I Belovas/ Generation of Synthetic Invoices for the Training of Machine Learning Models. XIIth International Conference on Pattern Recognition Applications and Methods, 22-02-2023 -24-02-2023, Lisbon, Portugal, https://icpram.scitevents.org/?y=2023
2. B.Strauskis/ Comparison of Phylogenetic Inference Methods Accuracy Using SARS-CoV-2 Data;
3. 20th IEEE Conference on Computational Intelligence in Bioinformatics and Computational Biology 29-08-2023 - 31-08-2023, https://cmte.ieee.org/cis-bbtc/cibcb2023/.

CONSULTATIONS PROVIDED BY THE UNIT TO THE PUBLIC OR ECONOMIC ENTITIES
1. Prof. Darius Plikynas. AI development expert working on the project “CONSULTANCY SERVICE PRODUCT CONCEPT AND DEVELOPMENT STRATEGY BY THE LITHUANIAN CENTRE OF AGRARIAN AND FOREST SCIENCES”.

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES
1. The presentation was given at the seminar-discussion ‘Artificial intelligence. not sometime and somewhere, but now and on my computer’, https://www.lma.lt/2023-10-09-dirbtinis-intelektas-ne-kazkada-ir-kazkur-o-dabar-ir-mano-kompiuteryje
2. The report was read at the LMA seminar ‘Artificial intelligence: opportunities and threats’, https://www.lma.lt/news/1990/38/Dirbtinis-intelektas-galimybes-ir-gresmes

INTERDISCIPLINARY STATISTICAL RESEARCH GROUP
Akademijos str 4., LT-08663 Vilnius
Tel. +370 5 2109303
E-mail:
Head – prof. Audronė JAKAITIENĖ, PhD

STAFF
Principal Researcher: Jakaitienė Audronė
Senior Researchers: Čiginas Andrius, Žvirblis Tadas
Researcher: Stupurienė Gabrielė
Assistant: Ringienė Laura
Phd Students: Burakauskaitė Ieva, Puronaitė Roma, Šablauskas Karolis, Vaišnorė Ramunė

RESEARCH INTERESTS
• Biostatistical analysis in biomedical research.
• Statistical analysis and modelling of International Large-Scale Assessment data.
• Application of statistical methods in mechatronic systems processes.
• Non-probability and probability sample integration.
• Parameter estimation in small population areas.

MAIN SCIENTIFIC ACHIEVEMENTS IN 2023
1. Camanho, Ana S.; Stumbrienė, Dovilė; Barbosa, Flávia; Jakaitienė, Audronė. The assessment of performance trends and convergence in education and training systems of European countries // European Journal of Operational Research: Volume 305, Issue 1, 16 February 2023, Pages 356-372. Amsterdam : Elsevier. ISSN 0377-2217. eISSN 1872-6860. 2023, vol. 305, no. 1, p. 356-372.
2. Burakauskaitė, Ieva; Čiginas, Andrius. An approach to integrating a non-probability sample in the population census // Mathematics. Basel : MDPI. eISSN 2227-7390. 2023, vol. 11, iss. 8, art. no. 1782, p. [1-14].

RESEARCH PROJECTS CARRIED OUT IN 2023
International Research Projects
European Joint Programme on Rare Diseases (EJP RD) Joint Transnational Call 2022 funded Project “Resolve 15q” No. EJPRD22-134; Nr. S-EJP RD-23-1. Coordinator: University of Heidelberg. https://www.ejprarediseases.org/funded-projects-jtc22/

R&D project “Education Systems Benchmarking with Frontier Techniques (eduBEST)”. Application No. 2022.08686.PTDC. Coordinator: University of Porto. Funding source: Portugal budget. https://edubest.inesctec.pt

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
Institute of Human Genetics, Heidelberg university [GERMANY]
Krembil Research Institute [CANADA]
Karolinska Institutet [SWEDEN]
Radboud institute for molecular life sciences [THE NETHERLANDS]
University of Porto [PORTUGAL]

OTHER RESEARCH ACTIVITIES
Prof. A. Jakaitienė, PhD
• 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
• member of the International Society for Clinical Biostatistics, https://www.iscb.info/

Gabrielė Stupurienė, PhD
• member of Lithuanian Computer Society, http://www.liks.lt;
• member of Lithuanian Educational Research Association, http://www.lera.lt;
• member of Lithuanian Young Scientists Union, https://www.ljms.lt/;
• country representative at European Commission Joint Research Center network of experts for the use cases of the tool SELFIE for TEACHERS.
• Executive Editor of the journal Informatics in Education, https://infedu.vu.lt/journal/INFEDU (Clarivate Analytics Web of Science Core Collection; Scopus; etc.).
Andrius Čiginas, PhD
• member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index.html;
• member of Lithuanian Statistics Society, http://www.statistikusajunga.lt/;
• steering committee member of Baltic-Nordic-Ukrainian Network on Survey Statistics https://wiki-emerita.it.helsinki.fi/display/BNU/Organisation
• member, country representative of International Association of Survey Statisticians (IASS)
Tadas Žvirblis, PhD
• member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index.html;
• member of Lithuanian Statistics Society, http://www.statistikusajunga.lt/.
Doctoral student R. Puronaitė
• member of the International Society for Clinical Biostatistics, https://www.iscb.info/

BEST REPORTS DELIVERED AT CONFERENCES ABROAD
1. International conference on Medical and Health Care Sciences „Knowledge for Use in Practice“. 29-31 March 2023, Riga Stradinš University, Riga Latvia. TITLE: Interdisciplinary Future? Systems biology at Vilnius university
2. 15th annual International Conference on Education and New Learning Technologies (EDULEARN23), Palma de Mallorca (Spain). 3rd - 5th of July, 2023 TITLE: Are the Trends of Education and Training Systems in European Countries Improving and Converging?
3. ISCB44: 44th annual conference of the International Society for Clinical Biostatistics; Joint conference with the Italian Region of the International Biometric Society, Milan, Italy, 27-31 August TITLE: Multiple Regression Models for Predicting Rare Outcomes in Hypertrophic Cardiomyopathy
4. 6th Baltic-Nordic Conference on Survey Statistics, 21-25 August 2023, Helsinki, Finland, https://wiki-emerita.it.helsinki.fi/display/BNU/BANOCOSS2023 TITLE: Integration of a voluntary sample assuming the not missing at random response mechanism
5. 64th World Statistics Congress, 14-20 July 2023, Otava, Canada, https://www.isi-web.org/event-detail/208 TITLE: Estimation of proportions in very small population domains

MOST IMPORTANT NATIONAL AND INTERNATIONAL AWARDS RECEIVED FOR R&D ACTIVITIES
1. Vilnius University Rector's Award for the best scientific publication in 2022.
2. Interdisciplinary monograph "(Im)measurable educational efficiency and productivity. Vilnius: Vilnius University Publishing House, 2022"
3. Audronė Jakaitienė, Dovilė Stumbrienė, Laura Ringienė, Julius Žilinskas, Antanas Žilinskas, Rita Dukynaitė, Rimantas Želvys, Jogaila Vaitekaitis, Saulė Raižienė

STATISTICS AND PROBABILITY GROUP
4 Akademijos, LT-08663 Vilnius
Tel. 210 9731
E-mail
Head – Prof. Habil. Dr Kęstutis Kubilius

STAFF
Principal research fellows: Prof. Habil. Dr K. Kubilius, Dr (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 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.

RESEARCH INTERESTS
• Statistical inference for long memory processes
• Stochastic differential equations
• Heavy tails
• Rough paths
• Differential equations with an integral boundary condition
• Random graphs
• Combinatorics
• Discrete mathematics
• Algebraic geometry

RESEARCH PROJECTS CARRIED OUT IN 2023
Projects Supported by the University Budget
Analysis and Application of Probabilistic and Deterministic Models. Prof. Habil. Dr K. Kubilius. 2023–2024.
Main results:
1. The inverse Euler method for a nonlinear one-dimensional parabolic equation with nonlocal boundary conditions is constructed and analysed. The stability and convergence of the difference scheme in the maximum norm are considered.
2. A geometric proof of the linearity of the growth-rate of the simple connectivity at infinity for Gromov-hyperbolic groups.
3. A new class of one-dimensional fractional stochastic differential equations with stochastic forcing is described, and the conditions for the existence and uniqueness of solutions of such equations are obtained. Moreover, the convergence rate of the implicit Euler approximation scheme for them is established.
Main publications:
1. Sapagovas, Mifodijus; Novickij, Jurij. On stability in the maximum norm of difference scheme for nonlinear parabolic equation with nonlocal condition // Nonlinear analysis: modelling and control. Vilnius : Vilniaus universiteto leidykla. ISSN 1392-5113. eISSN 2335-8963. 2023, vol. 28, no. 2, p. [1-12]. DOI: 10.15388/namc.2023.28.31562
2. Otera, Daniele Ettore. Remarks on the end-topology of some discrete groups. AIMS Mathematics, 8(9): 20143–20153. DOI: 10.3934/math.20231026
3. Kubilius, Kęstutis; Medžiūnas, Aidas. A class of fractional stochastic differential equations with a soft wall // Fractal and fractional. Basel : MDPI. eISSN 2504-3110. 2023, vol. 7, iss. 2, art. no. 110, p. [1-19]. DOI: 10.3390/fractalfract7020110

OTHER RESEARCH ACTIVITIES
Prof. K. Kubilius
• co-editor-in-Chief of the Modern Stochastics: Theory and Applications, https://www.vmsta.org/journal/VMSTA/information/editorial-board;
• editorial board member of the Lithuanian Mathematical Journal, https://link.springer.com/journal/10986/editors;
• editorial board member of the Mathematical Modelling and Analysis, https://journals.vilniustech.lt/index.php/MMA/editorialboard
Prof. S. Norvidas
• editorial board member of the Lithuanian Mathematical Journal, https://link.springer.com/journal/10986/editors.
Prof. Emeritus M. Sapagovas
• editorial board member of the Lithuanian Mathematical Journal, https://link.springer.com/journal/10986/editors;
• editorial board member of the journal Nonlinear Analysis: Modelling and Control, https://www.journals.vu.lt/nonlinear-analysis/about/editorialTeam;
• editorial board member of the journal Informatica, https://informatica.vu.lt/journal/INFORMATICA/information/INFORMATICA-Editorial;
• editorial board member of the Mathematical Modelling and Analysis, https://journals.vilniustech.lt/index.php/MMA/editorialboard.

ARTIFICIAL INTELLIGENCE LABORATORY
Akademijos 4, LT-08663 Vilnius.
Tel. (+370 5) 210 9311
E-mail:
Head – Dr Virginijus Marcinkevičius

STAFF
Senior researchers: Dr Virginijus Marcinkevičius.
Junior researcher: Linas Aidokas
Other staff: Neringa Urbonaitė
Doctoral students: Shubham Juneja, Vytautas Paura, Mantas Briliauskas

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

RESEARCH PROJECTS CARRIED OUT IN 2023
Projects Supported by the University Budget
The main goal is to investigate machine and imitational learning usage for robot navigation and localization in real environments. Research of natural language processing applications in human-machine interface
Main results:
1. Paura, Vytautas; Marcinkevičius, Virginijus. Benchmark for hyperspectral unmixing algorithm evaluation // Informatica. Vilnius : Vilniaus universiteto leidykla. ISSN 0868-4952. eISSN 1822-8844. 2023, vol. 34, no. 2, p. 285-315. DOI: 10.15388/23-INFOR522. (Impact Factor 2022: 2,9; Q1: Mathematics Applied, Q3: Computer Science, Information Systems)
2. Melnik-Leroy Gerda Ana, Aidokas Linas, Dzemyda Gintautas, Dzemydaitė Giedrė, Marcinkevičius Virginijus, Tiešis Vytautas, Usovaitė Ana, Is my visualization better than yours? Analyzing factors modulating exponential growth bias in graphs, Frontiers in Psychology 14 (2023), DOI: 10.3389/fpsyg. 2023.1125810 (Impact Factor 2022: 4,232)

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
SAP (Germany)
Neurotechnology (Lithuania)

OTHER RESEARCH 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.

BEST REPORT DELIVERED AT CONFERENCES ABROAD
1. Vytautas, Paura; Virginijus, Marcinkevičius‚ Semi-Supervised Hyperspectral Unmixing Dataset Creation Methods For Unmixing Algorithm’, Analysis Image and Signal Processing for Remote Sensing XXIX, 3-7 September of 2023, Amsterdam, Netherlands, http://dx.doi.org/10.1117/12.2679826.

INSTITUTE OF COMPUTER SCIENCE
47 Didlaukio, LT-08303 Vilnius
Tel. 219 5040
E-mail:
www: https://mif.vu.lt/lt3/en/about/structure/institute-of-computer-science
Director – Prof. Dr Rimantas Vaicekauskas

DEPARTMENTS AND LABORATORIES OF THE INSTITUTE

Department of Computational and Data Modeling
Department of Computer Science
Department of Mathematical Computer Science
Department of Software Engineering
Cybersecurity Laboratory
Formal Methods Research Group

RESEARCH AREAS
• Informatics
• Informatics engineering
• Fundamental mathematics
• Applied mathematics

BEST REPORTS DELIVERED AT CONFERENCES ABROAD
1. Makulavičius, Nojus; Brilingaitė, Agnė; Bukauskas, Linas; Čivilis, Alminas; Krinickij, Virgilijus; Šaltenis, Simonas. E-TRI: E-Vehicle Testbed Routing Infrastructure, SIGSPATIAL '23: the 31st ACM International Conference on Advances in Geographic Information Systems, Hamburg, Germany, November 13 - 16, 2023. New York : Association for Computing Machinery (ACM), 2023, art. no. 71. ISBN 9798400701689. p. [1-4]. DOI: 10.1145/3589132.3625660.
2. Čyras, Vytautas; Lachmayer, Friedrich. Nontextual notations as syntactic supplements, Legal informatics as science of legal method: proceedings of the 26th International Legal Informatics Symposium IRIS 2023. Bern : Editions Weblaw, 2023. ISBN 9783985957149. p. 277-282.
3. Krinickij, Virgilijus; Bukauskas, Linas. Challenges in cybersecurity group interoperability training, HCI international 2023 posters: 25th international conference on human-computer interaction, HCII 2023, Copenhagen, Denmark, July 23–28, 2023 : proceedings. Part III. Cham : Springer Nature, 2023. ISBN 9783031359972. eISBN 9783031359989. p. 273-278. (Communications in computer and information science, ISSN 1865-0929, eISSN 1865-0937 ; vol. 1834). DOI: 10.1007/978-3-031-35998-9_38.
4. Iliasov, A., Taylor, D., Laibinis, L., Romanovsky, A. The SafeCap Trajectory: Industry-Driven Improvement of an Interlocking Verification Tool. 5th International Conference on Reliability, Safety, and Security of Railway Systems – RSSRail 2023. October 10-12, 2023, Berlin, Germany.

MAIN SCIENTIFIC ACHIEVEMENTS IN 2023
1. Results on the conditions of stability of difference scheme for parabolic equation with nonlocal boundary conditions were obtained.
2. Formal foundations and tool support for formal analysis and automated scalable safety verification of railway signaling programs within the SafeCap framework were developed and applied in practice.
3. Clustering and percolation on superpositions of Bernoulli random graphs has been established.
4. The first use of symbolic integration that leverages the machine learning infrastructure, such as automatic differentiation, introduced, to find analytical approximations of ordinary and partial differential equations.

DEPARTMENT OF COMPUTATIONAL AND DATA MODELING
47 Didlaukio, LT-08303 Vilnius
Tel. 219 5025
E-mail:
Head – Assoc. Prof. Dr Rimvydas Krasauskas

STAFF
Professors: Habil. Dr Emeritus F. Ivanauskas, 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 (part-time), Dr V. Čeikutė (part-time).
Assistant professors: Dr R. Astrauskas, Dr M. Beniušė, Dr A. Čivilis (part-time), Dr J. Katina, Dr A. V. Misiukas Misiūnas (part-time), T. Raila (part-time).
Teaching assistants: V. Masiulionytė-Dagienė (part-time)
Lecturers: Dr J. Ignatavičiūtė, L. Būtėnas (part-time), V. Krinickij, E. Kutka (part-time), G. Šamrickis (part-time), B. Šulmanas (part-time).
Junior research fellows: J. M. Menjanahary.
Doctoral students: T. Mūžas.

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

RESEARCH PROJECTS CARRIED OUT IN 2023
Projects Supported by the University Budget
Research and application of methods for computational and geometric modeling, images, signals and databases analysis. Dr T. Meškauskas, Dr R. Krasauskas 2019 – 2023.
Results on the conditions of stability of difference scheme for parabolic equation with nonlocal boundary conditions were obtained.
The impact of augmentation techniques on binary galaxy image classification, using large dataset that covers a broad redshift range, was analysed.
Input alphabets of end-to-end Lithuanian text-to-speech synthesizer were investigated. Algorithms for automatic transliteration of Polish and English proper nouns into Lithuanian were developed.
Various properties of cyclide surfaces important for modeling applications were investigated; in particular, a complete Moebius classification of Dupin cyclidic cubes was achieved.
Deep learning model to predict electric-vehicle energy consumption was developed and tested on real-world datasets.
Main publications:
1. Katauskis, Pranas; Ivanauskas, Feliksas; Alaburda, Aidas. Mathematical model of synaptic long-term potentiation as a bistability in a chain of biochemical reactions with a positive feedback, Acta biotheoretica. Dordrecht : Springer. ISSN 0001-5342. eISSN 1572-8358. 2023, vol. 71, art. no. 16, p. [1-19]. DOI: 10.1007/s10441-023-09466-6.
2. Kasparaitis, Pijus. Automatic transliteration of Polish and English proper nouns into Lithuanian, Information technology and control. Kaunas: Technologija. ISSN 1392-124X. eISSN 2335-884X. 2023, vol. 52, no. 1, p. 128-139. DOI:10.5755/j01.itc.52.1.32353.
3. Mifodijus Sapagovas, Kristina Pupalaigė, Regimantas Čiupaila, Tadas Meškauskas. On the spectrum structure for one difference eigenvalue problem with nonlocal boundary conditions, Mathematical Modelling and Analysis, 28(3), pp. 522–541, 2023. https://doi.org/10.3846/mma.2023.17503

National Research Projects

Research Council of Lithuania, Data Management and Algorithms for Smart Transportation (No. 01.2.2-LMT-K-718-02-0018). Project leader Dr S.Šaltenis. Project researchers:Dr A. Brilingaitė, Dr L.Bukauskas,Dr A. Čivilis, Dr A. Barauskas, Dr V. Čeikutė, E. Kutka, V. Krinickij. 2019–2023.
The previously proposed data model of charge-arrival-time profiles to capture long electric vehicle routes and compare travel plans for trips with charging stops were implemneted in the testbed that supports diversity of the user input and provides experimentation opportunities.
Main publications:
1. Barauskas, Andrius; Brilingaitė, Agnė; Bukauskas, Linas; Čeikutė, Vaida; Čivilis, Alminas; Šaltenis, Simonas. Test-data generation and integration for long-distance e-vehicle routing, GeoInformatica. Dordrecht : Springer. ISSN 1384-6175. eISSN 1573-7624. 2023, vol. 27, iss. 4, p. 737-758. DOI: 10.1007/s10707-022-00485-y.
2. Šaltenis, Simonas; Barauskas, Andrius; Brilingaitė, Agnė; Bukauskas, Linas; Čeikutė, Vaida; Čivilis, Alminas. Charge-Arrival-Time profiles for long EV routes, IEEE access. Piscataway : Institute of Electrical and Electronics Engineers (IEEE). eISSN 2169-3536. 2023, vol. 11, p. 133004-133020. DOI: 10.1109/ACCESS.2023.3334392.
3. Makulavičius, Nojus; Brilingaitė, Agnė; Bukauskas, Linas; Čivilis, Alminas; Krinickij, Virgilijus; Šaltenis, Simonas. E-TRI: E-Vehicle Testbed Routing Infrastructure, SIGSPATIAL '23: Proceedings of the 31st ACM International Conference on Advances in Geographic Information Systems, Hamburg, Germany, November 13 - 16, 2023. New York : Association for Computing Machinery (ACM), 2023, art. no. 71. ISBN 9798400701689. p. [1-4]. DOI: 10.1145/3589132.3625660.

International Research Projects
EU Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Actions – Innovative Training Networks (ITN) funding scheme (H2020-MSCA-ITN-2019), GRAPES – learning, processing and optimising shapes, (No. 860843, project coordinator: Prof. I. Emiris, ATHENA RIC, Greece), Dr R. Krasauskas and Dr S. Zubė, 2019–2023.
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. Exchange of 3 month secondments for doctoral students were arranged with University of Barcelona (Spain) and industrial partner ModuleWorks (Aachen, Germany).
Main publication:
1. Hoxhaj, E., Menjanahary, J.M. & Schicho, J. Using algebraic geometry to reconstruct a darboux cyclide from a calibrated camera picture. AAECC (2023). DOI:10.1007/s00200-023-00600-y

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INOVATION) PARTNERS
Aalborg University (Denmark)
CERN (Switzerland)
Financial Crime Investigation Service (Lithuania)
ART21, JSC (Lithuania)
Johannes Kepler University, Linz (Austria)

OTHER RESEARCH 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
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. IEEE Computer society.
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
1. Makulavičius, Nojus; Brilingaitė, Agnė; Bukauskas, Linas; Čivilis, Alminas; Krinickij, Virgilijus; Šaltenis, Simonas. E-TRI: E-Vehicle Testbed Routing Infrastructure, SIGSPATIAL '23: the 31st ACM International Conference on Advances in Geographic Information Systems, Hamburg, Germany, November 13 - 16, 2023. New York : Association for Computing Machinery (ACM), 2023, art. no. 71. ISBN 9798400701689. p. [1-4]. DOI: 10.1145/3589132.3625660.
2. Rimvydas Krasauskas, Eriola Hoxhaj, Jean Michel Manjanahary. Classification of 3d Dupin cyclidic coordinates, SIDE 14.2 - Symmetries and Integrability of Difference Equations, Warsaw, Poland, June 19-23, 2023.
3. Tomas Mūžas, Andrius Vytautas Misiukas Misiūnas, Tadas Meškauskas. Large scale study of binary galaxy image classification and the impact of image augmentation techniques, 23rd International Conference ICCSA 2023, Athens, Greece, July 3–6, 2023.
4. Severinas Zube, Rimvydas Krasauskas, Quaternionic Bezier parametrizations of bi-degree (2,1), SIAM Conference on Computational Geometric Design 2023, part of the International Geometry Summit 2023, Genova, Italy, 3-7 July, 2023.

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

STAFF
Professors: Dr R. Vaicekauskas, Dr L. Laibinis (part-time), Dr A. Raudys (part-time).
Research fellow: Dr L. Laibinis (part-time).
Senior research fellow: Habil. Dr Š. Raudys.
Associate professors: Dr H. Giedra.
Assistants: Dr J. Andrikonis, Dr A. Birštunas, Dr V. Dičiūnas, 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), R. Masiulis (part-time), L. Ričkus (part-time).
Lecturers: 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
• Automated formal verification of safety and security requirements for critical infrastructures
• Formal reasoning about system correctness and other essential properties using interactive proof assistants
• Boolean function graphs and Boolean function minimization
• Colour rendering of light sources and its applications
• Global optimization of multi-objective functions
• Computational modelling and optimization of bioreactors
• Qualified electronic signature and applications
• Error-correcting codes
• Computational intelligence and machine learning
• Financial data analysis using computational intelligence methods
• Temporal and modal logics
• Buridan’s divided modal propositions
• Neural networks, pattern recognition

RESEARCH PROJECTS CARRIED OUT IN 2023
Projects Supported by the University Budget
Development of Intelligence Methods and its Applications in Information Technologies. Prof. R. Vaicekauskas, Dr L. Laibinis, Dr A. Raudys, 2021–2025.
Formal foundations and tool support for formal analysis and automated scalable safety verification of railway signaling programs within the SafeCap framework were further developed and applied in practice. Integration of the verification process in SafeCap with the Coq proof assistant has started.
Research (in cooperation with the CyberSecurity Laboratory) on verification of security requirements for critical infrastructures using formal methods and artificial inteligence techniques has been initiated. Doctoral scholarship for this topic was approved by Lithuanian Research Council.
Different applications of formal verification (using the proof assistants Isabelle/HOL, Coq, and Ada Spark) for ensuring the correctness of scientific data processing software in the crystallographic domain were investigated.
Proof-theory of the sequent calculus of temporal logic were developed, showing that loop checks can be restricted to certain paths of backward proof-search trees or sometimes omitted altogether. Also decision procedure for propositional linear discrete tense logic with the unary temporal operators was presented.
A parallel version of multi-objective Bayesian based optimization algorithm was developed. Experiments with expensive objective function will be conducted.
Special classes of Boolean functions (stellar functions and total kernel functions) and corresponding graphs were investigated. Minimal NDFs for all 5-ary functions from these classes were found.
Pareto-optimized custom moving average method for financial time series smoothing, considering both smoothness and accuracy criteria, developed. It evaluates this method against popular moving average techniques, demonstrating its superiority in improving time series forecasting, with potential applications in finance and other domains requiring signal smoothing.
Method for optimizing kidney stone analysis using advanced artificial intelligence algorithms developed. Current methods for analyzing kidney stone composition are limited, leading to potential clinical errors. By integrating AI algorithms, we aim to enhance the accuracy and speed of stone composition determination, facilitating more precise treatment recommendations and reducing complications and costs in kidney surgery. The proposed solution utilizes deep learning models and web-based interfaces for efficient data analysis and presentation, with the potential for future expansion into broader medical applications and international collaborations.
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. 2023, vol. 20, iss. 1, p. 695-707. DOI: 10.1109/TDSC.2022.3141555.
2. Iliasov, A., Taylor, D., Laibinis, L., Romanovsky, A. (2023). The SafeCap Trajectory: Industry-Driven Improvement of an Interlocking Verification Tool. In: Milius, B., Collart-Dutilleul, S., Lecomte, T. (eds) Reliability, Safety, and Security of Railway Systems. Modelling, Analysis, Verification, and Certification. RSSRail 2023. Lecture Notes in Computer Science, vol 14198. Springer, Cham. https://doi.org/10.1007/978-3-031-43366-5_7

National Research Projects
Project funded by Lithuanian Research Council: scientific group project 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 (2022-2025), Dr H. Giedra.
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.

Doctoral scholarship approved and funded by Lithuanian Research Council Ensuring cybersecurity requirements in critical infrastructures by using formal verification and artificial intelligence methods, No. P-PAD-23-173, Dr L. Laibinis.

Other Projects
Luminescent tagging of documents and the method of their mobile detection based on Hyperspectral Imaging and Artificial Intelligence (LumAI). M-ERA.NET Joint Call 2022. Project 10370, Dr A. Raudys.
The LumAI project aims to create luminescent ink for document security. This ink, when printed on paper or film, can be activated by a flash lamp and detected using a smartphone with hyperspectral imaging and AI. The project involves material research, detection system development, and discrimination threshold evaluation. It enhances document authentication and counters counterfeiting, potentially benefiting the European industry. The consortium comprises five partners from three EU countries, fostering collaboration between academia and industry. The project starts at TRL 3 and ends at TRL 5, utilizing advanced technologies in ink preparation, spectroscopy, hyperspectral imaging, and AI.

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).
• reviewer for the Formal Aspects of Computing, Software and Systems Modelling journals.
Dr V. Dičiūnas
• member of the Lithuanian Mathematical Society, http://www.lmd.mif.vu.lt/

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. L. Laibinis
• Presentation at the DAMMS conference, Druskininkai, Lithuania: Automated verification of railway signalling data, 2023-12-01.

DEPARTMENT OF MATHEMATICAL COMPUTER SCIENCE
47 Didlaukio, LT-08303 Vilnius
Tel. 219 5030
Email:
Head – Assoc. Prof. Dr Gintautas Bareikis

STAFF
Professors: Habil. Dr M. Bloznelis, Dr S. Gražulis (part-time),
Associate professors: Dr G. Bareikis, Dr A. Mačiulis, Dr V. Stakėnas, Dr V. Zacharovas.
Lecturers: I. Grinis.
Senior researchers: Dr G. Alkauskas, Dr T, Juškevičius.
Doctoral student: D. Ardickas.

RESEARCH INTERESTS
• Probabilistic analysis of number-theoretical structures
• Combinatorial statistics
• Random discrete structures and algorithms
• Measure concentration in discrete structures

RESEARCH PROJECTS CARRIED OUT IN 2023
Projects Supported by the University Budget
Analysis of Discrete Structures by Probabilistic, Combinatorial and Analytical Methods and their applications to network and crystallographic data.
Assoc. Prof. G. Bareikis, Prof. M. Bloznelis 2023–2027.
The Erdos-Turan bound improved over an order of magnitude using a special construction of random polynomials. Connectivity threshold and the phase transition in the size of the largest component for unions of Bernoulli random graphs have been established. An asymptotic expansion to the Stirling numbers of the second kind is constructed via finite difference method. Construction of Ada library for crystallographic symmetry actions and Ada/SPARK lemmas for related algorithms launched. Distributions of multiplicative functions over the set of natural numbers/symmetric group analysed via probabilistic/analytical methods. Several questions of geometric combinatorics related to (closed) lattice paths and the area they encircle have been addressed.
Main publications:
1. Bloznelis, Mindaugas; Leskelä, Lasse. Clustering and percolation on superpositions of Bernoulli random graphs, Random structures and algorithms. Hoboken: Wiley. ISSN 1042-9832. eISSN 1098-2418. 2023, vol. 63, iss. 2, p. 283-342. DOI: 10.1002/rsa.21140.
2. Bloznelis, Mindaugas; Karjalainen, Joona; Leskelä, Lasse. Normal and stable approximation to subgraph counts in superpositions of Bernoulli random graphs. Journal of Applied Probability. Cambridge University Press. DOI: https://doi.org/10.1017/jpr.2023.48
3. Ardickas, Daumilas; Bloznelis, Mindaugas. Connectivity threshold for superpositions of Bernoulli random graphs. arxiv:2306.08113, https://doi.org/10.48550/arXiv.2306.08113
4. Vaitkus, A., Merkys, A., Sander, T., Quirós, M., Thiessen, P. A., Bolton, E. E. and Gražulis, S. (2023), A workflow for deriving chemical entities from crystallographic data and its application to the Crystallography Open Database, J. Cheminf. 15(1), 123, DOI: https://doi.org/10.1186/s13321-023-00780-2.
5. Stakėnas, Vilius. The ring of arithmetical functions in the rational domain, Annales Univ. Sci. Budapest., Sect. Comp. 54 (2023) 295–306.
6. Zacharovas, Vytas. Poisson approximation in χ2 distance by the Stein-Chen approach. Bernoulli 29 (2) 1600-1614, May 2023. https://doi.org/10.3150/22-BEJ1512.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
Aalto University (Finland)
Poznan Adam Mickiewicz university (Poland)
Bielefeld university (Germany)

OTHER RESEARCH ACTIVITIES
Senior researcher 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/.
• member of programme committees of the international conferences:
o 18th Workshop on Algorithms and Models for the Web Graph, WAW2023. The Fields Institute for Research in Mathematical Sciences, May 23-16, 2023.
• organizer of invited session ,,Random graphs and related topics” at NORDSTAT2023. Gothenburg university, June 19-23. 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
Senior researcher G. Alkauskas
• member of LATGA,;
• member of AGATA, .

DEPARTMENT OF SOFTWARE ENGINEERING
47 Didlaukio, 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 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 G.Alzbutas (part-time).
Assistants: Dr V. Valaitis, Dr T. Plankis.
Junior Assistant: B. Dapkūnas (part-time).
Lecturers: S. Girdzijauskaite (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), V. Golubevas (part-time), A. Džiaugys (part-time), G. Linkevičė (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 it’s applications

RESEARCH PROJECTS CARRIED OUT IN 2022
Projects Supported by the University Budget
Development of computerized systems and modeling of this process. Assoc. Prof. L. Petkevičius. 2023–2025.
Legal visualization methods overviewed and investigated.
The first use of symbolic integration that leverages the machine learning infrastructure, such as automatic differentiation, introduced, to find analytical approximations of ordinary and partial differential equations.
Image processing algorithms employed to categorize droppings into six distinct classes, each representing various abnormality levels, with data collected from three different poultry farms in Lithuania, including diverse litter types.
Main publications and monographs:
1. Čyras, Vytautas; Lachmayer, Friedrich. Towards legal visualization, Informelle Menschenrechte und digitale Gesellschaft. Herausgegeben von Benedikt Buchner und Thomas Petri. Tübingen: Mohr Siebeck, 2023. ISBN 9783161616389. eISBN 9783161621581. p. 165-173. DOI: 10.1628/978-3-16-162158-1.
2. Sasnauskas, Paulius; Petkevičius, Linas. Symbolic neural architecture search for differential equations, IEEE access. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). eISSN 2169-3536. 2023, vol. 11, p. 141232-141240. DOI: 10.1109/ACCESS.2023.3342023.
3. Nakrosis, Arnas; Paulauskaite-Taraseviciene, Agne; Raudonis, Vidas; Narusis, Ignas; Gruzauskas, Valentas; Gruzauskas, Romas; Lagzdinyte-Budnike, Ingrida. Towards early poultry health prediction through non-invasive and computer vision-based dropping classification, Animals. Basel : MDPI. ISSN 2076-2615. 2023, vol. 13, iss. 19, art. no. 3041, p. 1-18. DOI: 10.3390/ani13193041.

National Research Projects
New generation multi-task recognition from satellite image algorithms for climate monitoring. Project No S-MIP-23-44 under the agreement with the Research Council of Lithuania (LMTLT), Assoc. Prof. L. Petkevičius 2023-2026.
Satellite images databases contain large amount of data. Applications in environmental monitoring, spatial modelling, tracking natural resource management or climate change are among those who use remote sensor images. New breakthroughs in computer-vision models have enabled the use of multi-scale image analysis for precisely detecting and segmenting objects in images. In this project, modern recognition methods will be improved and applied to solve problems
of detection, segmentation and prediction of land/water characteristics from satellite imaging. Development of first Lithuanian's multi-satellite multi-scale image database will be derived. Development of a generalized mathematical multi-task learning model that would allow to predict the recognition from combination of multi-scale satellite image to be successfully applied in predictive models, for climate monitoring as well as to identified an outliers search
within complex satellite data in space and time.

Digital image data-driven analysis for tumour microenvironment assessment in breast carcinoma. Postdoctoral (Dovilė Žilėnaitė-Petrulaitienė) project No P-PD-22-060 under the agreement with the Research Council of Lithuania (LMTLT), Assoc. Prof. L. Petkevičius 2022-2024.
Breast cancer (BC) remains one of the most common and deadly cancers worldwide among women. Current clinical practices to predict outcome and therapy response in BC patents are largely based on visual assessment of ER, PR, HER2, and Ki67 expression and histology features. However, due to the heterogeneity of BC, prognosis and treatment responses differ significantly in patents within the same clinical categories. Therefore, further research on biomarkers is needed to improve personalized therapy decisions.
Therefore, in this study, we aim to employ the latest mathematical models of computer vision recognition in AI technologies by extending them to the spatial and temporal dependencies to discover new pathobiological features of the disease in digital pathology images (DPI). Both explicit and implicit deep learning methods to process complex pathological images will be used to extract IR, tumour tissue heterogeneity, and architectural patterns in a retrospective BC cohort of 300 patents. DPI from histology and immunohistochemistry microscopy will be tested. Spatial aspects of biomarkers’ expression in the context of TME will be measured by recently proposed intratumoural heterogeneity and immunogradient metrics. Collagen architecture indicators will be generated by morphometry methods. Implicit TME features will be explored by deep learning techniques. Pathobiology indicators will be extracted from the multidimensional data set and examined for their prognostic value. We expect a new mathematical model for extracting significant biomarkers from complex data, applying models of deep learning methods and its implementation which will be developed from the new knowledge obtained.

Student Research Intership
Impact of the Russia-Ukraine war on the mental health of the Lithuanian population one year after the invasion, Students research projects (summer schollarships, Artur Airapetian), 2023, Funded by Research Council of Lithuania, Assoc. Prof. V. Gružauskas.

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 of the Nonlinear Analysis: Modelling and Control Journal.
• Board member of European AI Forum (EAIF),
• Member of Institute of Electrical and Electronics Engineers (IEEE),
• Member of Lithuanian Computer Society (LIKS)
Prof. R. Baronas
• Editor-in-Chief of the Nonlinear Analysis: Modelling and Control Journal,
• editorial board member of the Journal of Mathematical Chemistry,
• Editorial board member of the Baltic Journal of Modern Computing Journal,
• Editorial board member of the International Journal of Artificial Intelligence,
• Editorial board member of the journal Informatica,
• Member of Institute of Electrical and Electronics Engineers (IEEE),
• Senior member of Association for Computing Machinery (ACM),
• Member of Lithuanian Academy of Science.
Assoc. Prof. V. Čyras
• Program committee member at IRIS 2023, 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 2023, The 12th 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 Institute of Information and Communication Research of Nicalaus Compernicus University in Torun.
Assoc. Prof. S. Ragaišis
• advisory board member of International project Enterprise SPICE, http://enterprisespice.com/.

BEST REPORTS DELIVERED AT CONFERENCES ABROAD
1. Čyras, Vytautas; Lachmayer, Friedrich. Nontextual notations as syntactic supplements, Legal informatics as science of legal method: proceedings of the 26th International Legal Informatics Symposium IRIS 2023. Bern : Editions Weblaw, 2023. ISBN 9783985957149. p. 277-282.

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES
Assoc. Prof. Linas Petkevičius
• Mokslas be pamokslų, 2023.04.20, Assoc. Prof. L. Petkevičius. „ChatGPT“: bijoti ar pasinaudoti?,
• Workshop „Similarity search in practice or how AI can help in everyday’s life“ PyConLT, 05/18/2023,
• Podcast. Paraštės. “Dirbtinis intelektas - kodėl nereikia jo bijoti... Ar reikia?“, 04/30/2023.
Prof. Romas Baronas
• Organized lectures for students and teachers of Kybartai K. Donelaitis Gymnasium at the Institute of Informatics, 09/13/2023.
Dr Vytautas Ašeris
• Sustainability course 2023. Presentation: „How diversity and inclusion enrich the organization?“, 09/27/2023.

CYBERECURITY LABORATORY
47 Didlaukio, LT-08303 Vilnius
Tel. 219 5003
E-mail: , .
Head – Assoc. Prof. Dr Linas Bukauskas

STAFF
Associate professors: Dr A. Brilingaitė, Dr L. Bukauskas, Dr K. Lapin
Researchers: (snr. r.) Dr L. Ambrozaitytė, (snr. r.) Dr I.Domarkienė, (researcher) Dr T. Rančelis
Lecturers: V. Krinickij, E. Kutka
Laboratory assistants: M. Gaubas (part-time), R. Andrijauskaitė (part-time), A.Bauraitė
Programmers: Sahak Grigoryan (Ivašauskas)
Doctoral students: V.Krinickij, D. Daukševič

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

RESEARCH PROJECTS CARRIED OUT IN 2023
Projects Supported by the University Budget
Research and application of technological and virtual cyber security breaches, detection, offensive and defensive action methods. Assoc. Prof. L. Bukauskas, 2023–2025.
Researched and created new methodologies, algorithms and applications for ensuring cyber security, identifying violations and developing an experimental cyber security team defense and attack platform.
Main publications:
1. Bukauskas, Linas; Brilingaitė, Agnė; Juozapavičius, Aušrius; Lepaitė, Daiva; Ikamas, Kęstutis; Andrijauskaitė, Rimantė. Remapping cybersecurity competences in a small nation state, Heliyon. Oxford: Elsevier. eISSN 2405-8440. 2023, vol. 9, no. 1, art. no. e12808, p. [1-13]. DOI:10.1016/j.heliyon.2023.e12808.
2. Felzenbergs, Kristaps; Bukauskas, Linas; Majore, Ginta. Heartbeat driven network health assessment, IEEE 64th International Scientific Conference on Information Technology and Management Science of Riga Technical University (ITMS), 5-6 October, 2023, Riga, Latvia. New York : IEEE, 2023. ISBN 9798350370300. eISBN 9798350370294. ISSN 2771-6953. eISSN 2771- 6937. p. [1-6]. DOI: 10.1109/ITMS59786.2023.10317742.
3. Ivašauskas, Sahak; Gaubas, Marius; Bukauskas, Linas. In-kernel authentication request analysis for human and bot distinction, HCI international 2023 – late breaking papers: 25th international conference on human-computer interaction, HCII 2023, Copenhagen, Denmark, July 23–28, 2023: proceedings. Part VI / Editors: Helmut Degen, Stavroula Ntoa, Abbas Moallem. Cham: Springer, 2023. ISBN 9783031480560. eISBN 9783031480577. p. 408-417. (Lecture Notes in Computer Science, ISSN 0302-9743, eISSN 1611-3349; vol. 14059). DOI: 10.1007/978-3-031-48057-7_25.

International Research Projects
CYBERACTIONING: – Training Cybersecurity Skills through Advanced Higher Education Joint Programmes, European Commission Call Digital-2022-Skills-03: assoc. prof. Dr L. Bukauskas (VU project part leader), assoc. prof. Dr A. Brilingaitė.
The Cyberactioning application was submitted for the European Commission Call Digital-2022-Skills-03, launched in the framework of the Digital Simple Grants Action for fostering specialised education programmes or modules in key capacities areas. The proposal was originated by four universities of the Arqus Alliance (University of Granada, University of Minho, University of Padua and Vilnius University), in collaboration with six SMEs and Research Centres (Constella Intelligence – Securiq Sistemas S.L., Digitalsign – Certificadora Digital SA, Eurotux Informatica SA, Amped SRL, Qascom SRL, and Fundacion IMDEA Network), all of them covering four different European countries (Italy, Lithuania, Portugal and Spain) and with a high level of expertise in the field of cybersecurity.
Other expected key results are:
1. A scholarship programme to attract highly qualified students.
2. A programme of agreements and incentives to attract faculty, companies and research centres and generate synergies.
3. The acquisition of key technological infrastructure for support of the programmes.

ADVANCES: Advancing Human Performance in Cybersecurity, Baltic Research Programme EEA Grant. Project contract No S-BMT-21-6 (LT08-2-LMT-K-01-051), 2021-2023, assoc. prof. Dr A. Brilingaitė (proj. leader), assoc. prof. Dr L. Bukauskas, assoc.prof. Dr K. Lapin., (snr. r.) Dr L. Ambrozaitytė, (snr. r.) Dr I.Domarkienė, (researcher) Dr T. Rančelis, A. Bauraitė.
The main project objective is to develop the domain-specific infrastructure that enables advancing the performance of the cybersecurity specialist considering possible improvements from three different perspectives: by regarding the human as a biological entity, by analyzing the behavioral patterns of the person, and by addressing the necessary technical knowledge and skills of the cybersecurity specialist.
Main publications:
1. Maennel, Kaie; Brilingaitė, Agnė; Bukauskas, Linas; Juozapavičius, Aušrius; Knox, Benjamin James; Lugo, Ricardo Gregorio; Maennel, Olaf; Majore, Ginta; Sütterlin, Stefan. A multidimensional cyber defense exercise: emphasis on emotional, social, and cognitive aspects, SAGE Open. Thousand Oaks, CA: SAGE Publications. ISSN 2158-2440. eISSN 2158-2440. 2023, vol. 13, iss. 1, p. [1-12]. DOI: 10.1177/21582440231156367.
2. Pirta-Dreimane, Rūta; Brilingaitė, Agnė; Roponena, Evita; Parish, Karen; Grabis, Jānis; Lugo, Ricardo Gregorio; Bonders, Martiņš. CyberEscape approach to advancing hard and soft skills in cybersecurity education, Augmented cognition: 17th International Conference, AC 2023, Held as Part of the 25th HCI International Conference, HCII 2023, Copenhagen, Denmark, July 23–28, 2023: proceedings. Cham: Springer Nature Switzerland, 2023. ISBN 9783031350160. eISBN 9783031350177. p. 441-459. (Lecture notes in computer science, ISSN 0302-9743, eISSN 1611- 3349; vol. 14019). DOI: 10.1007/978-3-031-35017-7.
3. Majore, Ginta; Bukauskas, Linas; Sütterlin, Stefan; Brilingaitė, Agnė. Advancing human performance in cybersecurity, ADVANCES, Proceedings of the research projects exhibition papers presented at the 35th international conference on advanced information systems engineering (CAiSE 2023), Zaragoza, Spain, June 12-16, 2023 / edited by Jaime Font, Lorena Arcega, José-Fabián Reyes-Román, Giovanni Giachetti. Aachen: CEUR-WS. 2023, p. 76-82. (CEUR Workshop Proceedings, ISSN 1613-0073; vol. 3413). Prieiga per internetą: <https://ceur-ws.org/Vol- 3413/paper11.pdf>.

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)
• University of Granada (Spain)
• Minho University (Portugal)

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.
Assoc. Prof. L. Bukauskas
• 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 (IEEE Computing).

BEST REPORTS DELIVERED AT CONFERENCES ABROAD
1. Krinickij, Virgilijus; Bukauskas, Linas. Challenges in cybersecurity group interoperability training, HCI international 2023 posters: 25th international conference on human-computer interaction, HCII 2023, Copenhagen, Denmark, July 23–28, 2023 : proceedings. Part III. Cham : Springer Nature, 2023. ISBN 9783031359972. eISBN 9783031359989. p. 273-278. (Communications in computer and information science, ISSN 1865-0929, eISSN 1865-0937 ; vol. 1834). DOI: 10.1007/978-3-031-35998-9_38.

MOST IMPORTANT PARTICIPATION CASES OF RESEARCHERS IN WORKING GROUPS OR COMMISSIONS SET UP BY STATE AUTHORITIES, STATE AND MUNICIPAL INSTITUTIONS, ORGANISATIONS, BUSINESS ENTITIES
1. Assoc. prof. Dr A. Brilingaitė, NATO CCDCOE, LockedShields 2023, Yellow team member, Estonia.
2. Assoc. prof. Dr L. Bukauskas, The Central Electoral Commision of the Republic of Lithuania.
3. Assoc. prof. Dr L. Bukauskas, International Cyberdefense Exercises AmberMist VU POC, Lithuania.

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES
1. Assoc. prof. A. Brilingaitė, Science popularisation article, Cyber Warrior: Who is Behind the Cyber Shield? on the Public Exposure platform, sponsored by Arctic Security (Finland). Editor of the articles on the platform Lari Huttunen. https://www.arcticsecurity.com/resources/cyber-warrior-who-is-behind-the-cyber-shield .
2. Assoc. prof. A. Brilingaitė, Presentation at the EEA conference on the Baltic Research Programme "Collaborative Experiences: Shaping the Research Future" at the invitation of the LMT EEA Project.

FORMAL METHODS RESEARCH GROUP
47 Didlaukio, LT-08303 Vilnius
Tel. 219 5014
E-mail:
Head – Prof. Dr Linas Laibinis

STAFF
Professors: Dr L. Laibinis, Dr S. Gražulis
Associate professors: Dr K. Petrauskas, Dr T. Ustinavičius
Partnership associate professors: V. Pozdniakov
Lecturers: I. Grinis
PhD students/researchers: D. Daukševič

RESEARCH INTERESTS
• Application of formal methods for formal modelling and verification of complex software and computer based systems
• Automated formal verification using theorem proving and model techniques techniques
• Formal verification of safety and security requirements for critical infrastructures
• Verification of correctness of data transformation algorithms in crystallography
• Construction of formal semantics for specific programming languages or problem domains

RESEARCH PROJECTS CARRIED OUT IN 2023
Projects Supported by the University Budget
Research on verification of railway signalling systems by using automated formal verification methods (2020 – ongoing). Formal foundations and tool support for formal analysis and automated scalable safety verification of railway signaling programs within the SafeCap framework were further developed and applied in practice. Integration of the verification process in SafeCap with the Coq proof assistant has started.
Research on automated verification of data transformation algorithms in the crystallographic domain (2021 - ongoing). Different applications of formal verification (using the proof assistants Isabelle/HOL, Coq, and Ada Spark) for ensuring the correctness of scientific data processing software in the crystallographic domain were investigated.

National Research Projects
Doctoral scholarship approved and funded by Lithuanian Research Council Ensuring cybersecurity requirements in critical infrastructures by using formal verification and artificial intelligence methods, No. P-PAD-23-173, Dr L. Laibinis
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. 2023, vol. 20, iss. 1, p. 695-707. DOI: 10.1109/TDSC.2022.3141555.
2. Iliasov, A., Taylor, D., Laibinis, L., Romanovsky, A. (2023). The SafeCap Trajectory: Industry-Driven Improvement of an Interlocking Verification Tool. In: Milius, B., Collart-Dutilleul, S., Lecomte, T. (eds) Reliability, Safety, and Security of Railway Systems. Modelling, Analysis, Verification, and Certification. RSSRail 2023. Lecture Notes in Computer Science, vol 14198. Springer, Cham. https://doi.org/10.1007/978-3-031-43366-5_7
3. Iliasov, Alexei; Taylor, Dominic; Laibinis, Linas; Romanovsky, Alexander. Automated verification of railway signalling data. DAMSS: 14th conference on data analysis methods for software systems, Druskininkai, Lithuania, November 30 - December 2, 2023. Vilnius : Vilniaus universiteto leidykla, 2023. eISBN 9786090709856. p. 29. (Vilnius University Proceedings, eISSN 2669-0233 ; vol. 39). DOI: 10.15388/DAMSS.14.2023.

MAIN RESEARCH ACHIEVEMENTS IN 2023
Improving on detection of fault positives and diagnostics of found invariant violations of railway safety properties in the Safecap framework.
Investigation of application of the Ada Spark verification framework for automated verification of crystallographic data transformation algorithms, based on formalised results from the group theory.
Formulating a proposal for combining formal verication methods and artificial intelligence techniques for verication of cybersecurity requirements in critical infrastructures.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS
School of Computing, Newcastle University (UK)
Abo Akademi University (Finland)
The Formal Route Ltd (UK) - tool developer company for mathematical modelling and safety verification of railway signalling designs

OTHER RESEARCH ACTIVITIES
Prof. L. Laibinis
• program committee member of the International Workshop on Software Engineering for Resilient Systems (SERENE).
• reviewer for the Formal Aspects of Computing, Software and Systems Modelling journals.

INSTITUTE OF MATHEMATICS

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

STAFF
Professors: Dr 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, J. Karasevičienė, G. Liaudanskaitė, L. Maciulevičius, M. B. Montessinos, J. Putrius, J. Sprindys, P. Virbalas
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: Ž. Baronėnas D. Daugvila, M. Dirma, G. Gangopadhyay, I. Gasparavičius, H. Gerges, G. Girdžiūtė, E. Gutauskaitė, M. Jasas, G. Junevičius, V. Jurgelevičius, R. Kamarauskas, J. Karasevičienė, A. Karbonskis, L. Klebonas, T. Kondratavičius, L. Maciulevičius, T. Mikalauskaitė, M. Montessinos, A. Nakliuda, N. Nakliuda, R. Norbutaitė, S. Paukštys, R. Prigodin. R. Puišys, J. Putrius, M. Rasinskas, M. Savitienė(Tekorė), M. Venckevičius, P. Virbalas, B. Žemaitienė

DEPARTMENTS OF INSTITUTE
Department of Mathematical Analysis
Department of Probability Theory and Number Theory
Group of Analytic Number Theory
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

DOCTORAL DISSERTATIONS MAINTAINED IN 2023
S. Paukštys. Properties of tail moments of heavy-tailed distributions.

MAIN CONFERENCES ORGANIZED IN 2023
1. International Conference on Probability Theory and Number Theory 2023. The conference is dedicated commemorate the 100th anniversary of Professor Jonas Kubilius, to celebrate the 80th anniversary of Professor Donatas Surgailis, the 75th anniversary of Professors Antanas Laurinčikas and Eugenijus Manstavičius, and the 70th anniversary of Professors Kęstutis Kubilius and Alfredas Račkauskas. Palanga, September 10–16, 2023, https://www.numbertheory.lt.
2. International coference Universalité, fonctions zêta et opérateurs chaotiques. CIRM, Luminy, France, August 07-11, https://conferences.cirm-math.fr/2911.
3. 12th Meeting of Lithuanian Young Mathematicians, Vilnius University, Desember 29, http://lmd.mif.vu.lt

MAIN SCIENTIFIC ACHIEVEMENTS IN 2023
1. All regularity classes of the distributions were classified. All closedness properties of such classes have been examined. A monograph has been published on this subject.
2. Aproximation theorems of analytic functions by Mellin transforms on the Riemann zeta-function, and other universality theorems for zeta-functions were obtained.
3. A lower bound on the mean of squares of distances between the points in two sets in terms of the products of distances between the points in each of those two sets has been obtained.
4. The conditions under which the product convolution of generalized subexponential distributions remain in the class of generalized subexponential distributions have been determined.
5. Distributions of sums of the multiplicative function values taken on the random permutation divisors were explored.
6. New algorithms were found for calculating survival probabilities in a discrete-time risk model with a special structure.

BEST REPORTS DELIVERED AT CONFERENCES ABROAD 2023
1. Dubickas, Mahler measures, their quotients and differences, MM(P): Mahler measures and polynomials, An international conference on the occasions of Mahler's 120th birthday and 90 years of Lehmer's problem, Radboud University Nijmegen, Oct. 24-27, 2023.
2. Dubickas, Minimal degree of an algebraic number with respect to a number field containing it, Numeration 2023, Liege, Belgium, May 22-26, 2023.
3. Dubickas, Distribution of the fractional and integral parts of geometric progressions, Diophantine Analysis, Dynamics and Related Topics, Center for Mathematical Sciences, Technion - Israel Institute of Technology, Haifa, Israel, February 5-10, 2023.
4. P. Drungilas, Multiplicative dependence of two integers shifted by a root of unity: International conference Universalité, fonctions zêta et opérateurs chaotiques. CIRM, Luminy, August 07-11.
5. R. Garunkštis, On zeros of zeta-functions from the extended Selberg class: International conference Universalité, fonctions zêta et opérateurs chaotiques. CIRM, Luminy, August 07-11.
6. R. Kačinskaitė, One more case of discrete universality for the classes of zeta-functions: International conference Universalité, fonctions zêta et opérateurs chaotiques. CIRM, Luminy, August 07-11.
7. Skučaitė, Income related mortality of Lithuanian seniors in the light of Covid-19: International Congress of Actuaries, Sydney, Australia, 28 May – 01 June.

MOST IMPORTANT NATIONAL AND INTERNATIONAL AWARDS RECEIVED FOR R&D ACTIVITIES
1. M.K. Čiurlionis Foundation awarded by “Lithuanian Luminaries 2022” to Vygantas Paulauskas, Professor Emeritus of VU, a mathematician and author of textbooks on functional analysis, having 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. The monitoring group of the implementation measures according to the 2023-2027 mathematics teaching and learning improvement plan created by the order of the Minister of Education, Science and Sports of the Republic of Lithuania (2023 March 16 No. V-335); members R. Norvaiša and A. Račkauskas.
2. 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.
3. Institute and Faculty of Actuaries, https://www.actuaries.org.uk: Dr R. Gylys is a member of the Institute.
4. 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.
5. Lithuanian Statistical Society, http://www.statistikusajunga.lt: Dr M. Manstavičius is president of the Society; Prof. V. Paulauskas is a member of the Society.
6. Committee of European Auditing Oversight Bodies (CEAOB), https://finance.ec.europa.eu. Dr A. Linartas is a member of the Committee.
7. 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.
8. OECD working group „Education 2030“: Prof. R. Norvaiša is a representative of Lithuania.

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES
1. Radio show 2023.02.09: Dešimt balų. Prof. R. Norvaiša. When can we expect improvement in students’ mathematics performance?
2. Radio show 2023.02.10: Time for culture. Prof. R, Norvaiša. What mathematics should teach and what skills children should develop in schools?
3. Plenary presentation in 64 annual conference of Lithuanian Mathematical Society by R. Norvaiša “Constructing a deductive argument when solving a school text problem” 2023.06.22
4. 12th 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.
5. Plenary presentation in 12th Meeting of Lithuanian Young Mathematicians by Prof. R. Norvaiša “Science, practice, study and politics aspects of mathematics education” 2023.12.29
6. Seminar for techers on Mathematics “Artificial intelligence in mathematics education”. Presentation by Prof. A. Račkauskas “Project-based teaching of statistics in school” 2023.12.15
7. Lessons to the school students in the frame of the project Lessons with University Lecturer. R. Kačinskaitė, A. Grigutis.
8. Lessons at Child University of Vilnius University. R. Kačinskaitė.

DEPARTMENT OF MATHEMATICAL ANALYSIS
24 Naugarduko, LT-03225 Vilnius
Tel.: 219 3085
E-mail
Head – Prof. Dr Jonas Šiaulys

STAFF
Professors: Dr A. Linartas (Partnership), Habil. Dr V. Paulauskas (Emeritus), Dr J. Šiaulys
Associate professor: Dr D. Dzindzalieta, Dr A. Grigutis, 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
Junior assistants: E. Gutauskaitė, J. Karasevičienė, G. Liaudanskaitė, 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: D. Daugvila, M. Dirma, I. Gasparavičius, G. Girdžiūtė, E. Gutauskaitė, V. Jurgelevičius, R. Kamarauskas, J. Karasevičienė, A. Nakliuda, N. Nakliuda, R. Norbutaitė, S. Paukštys, R. Prigodin. R. Puišys, M. Venckevičius, B. Žemaitienė

RESEARCH INTERESTS
• Mathematical analysis
• Heavy-tailed distributions
• Probability limit theorems
• Stochastic analysis
• Actuarial mathematics
• Financial mathematics
• Risk theory

RESEARCH PROJECTS CARRIED OUT IN 2023
Projects Supported by the University Budget
Nonhomogeneous stochastic models and their applications in financial and actuarial mathematics. Prof. J. Šiaulys, Assoc. Prof. M. Manstavičius, Assoc. Prof. A. Grigutis, 2020–2023.
All closure properties of heavy-tailed and related classes of distributions were described in detail. The known facts have been supplemented, all the information has been written down in a monograph. The conditions under which the product convolution of generalized subexponential distributions remain in the class of generalized subexponential distributions have been determined. Asymptotic formulas for generalized moments of sums with heavy-tailed random summands have been obtained. The conditions have been established under which the randomly stopped sum of possible differently distributed random variables belongs in the class of generalized subexponential distributions. The equivalent conditions have been established for the convolution to be in the class of strong subexponential distributions. New algorithms were found for calculating survival probabilities in a discrete-time risk model with a special structure. The properties and constructions of bivariate concordance measures were investigated to evaluate the strength of dependence between continuous random variables. Popular Spearman‘s rho, Kendall‘s tau, etc., have been generalized, highlighting the diversity of such measures and paving the way for their statistical applications.
Main publications:
1. R. Leipus, J. Šiaulys, D. Konstantinides, Closure Properties for Heavy-Tailed and Related Ditributions, An Overview, Springer, Cham, 2023.
2. G. Mikutavičius, J. Šiaulys, Product convolution of generalized subexponential distributions, Mathematics 2023, 11, 248.
3. R. Leipus, J. Šiaulys, D. Konstantinides, Minimum of heavy-tailed random variables is not heavy-tailed, AIMS Mathematics 2023, 8, 13066-13072.
4. D. Konstantinides, R. Leipus, J. Šiaulys, On the non-closure under convolution for strong subexponential distributions, Nonlinear Analysis: Modelling and Control 2023, 28, 97-115.
a. Grigutis. Determining exact survival probability by setting discrete random variables in E. Sparre Andersen’s model. Probability, Uncertainty and Quantitative Risk 2023, 8, 445-462.

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) University of Aegean (Greece)

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
• member of the Lithuanian Academy of Sciences, http://lma.lt/lt;
• 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/board member of the Lithuanian Statistical Society, http://www.statistikusajunga.lt;
• member of the Lithuanian Mathematical Society http://www.mif.vu.lt/lmd/index_en.html;
• associate editor of the European Actuarial Journal;
• associate editor of the Lithuanian Mathematical Journal;
• 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/.
Assoc. Prof. A. Grigutis
• member of the Lithuanian Mathematical Society http://www.mif.vu.lt/lmd/index_en.html;
• member of the Organising committee of the 64th conference of the Lithuanian Mathematical Society;
• reviewer for Mathematical Reviews.

DEPARTMENT OF PROBABILITY THEORY AND NUMBER THEORY
24 Naugarduko, LT–03225 Vilnius
Tel.: 219 3059
E-mail:
Head – Prof. Habil. Dr Artūras Dubickas

STAFF
Professors: Dr P. Drungilas, Habil Dr 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, M. B. Montessinos, J. Putrius, P. Virbalas
Doctoral students: Ž. Baronėnas, G. Gangopadhyay, M. Jasas, G. Junevičius, A. Karbonskis, L. Klebonas, T. Kondratavičius, L. Maciulevičius, M. Montessinos, M. Rasinskas, M. Savitienė(Tekorė), P. Virbalas

RESEARCH INTERESTS
• Algebraic numbers and polynomials
• Analytic number theory
• Combinatorics
• Probabilistic number theory

RESEARCH PROJECTS CARRIED OUT IN 2023
Projects Supported by University Budget
Problems of number theory and investigation of roots of polynomials. Prof. A Drungilas, Prof. A. Garunkštis, Prof. A. Dubickas, Prof. A. Laurinčikas, Prof. E. Manstavičius. 2019–2023.
A lower bound on the mean of squares of distances between the points in two sets in terms of the products of distances between the points in each of those two sets has been obtained. These results imply lower bounds on the pth power of the average distance between the conjugates of an algebraic integer and of the same quantity between the conjugates of a totally real algebraic integer.
Aproximation theorems of analytic functions by Mellin transforms on the Riemann zeta-function, and other universality theorems for zeta-functions were obtained. Distributions of sums of the multiplicative function values taken on the random permutation divisors were explored.
Main publications:
1. Dubickas, Algebraic integers with small potential energy, Journal of Mathematical Inequalities 2023, 17 (1) , 141-151.
2. K. Chakraborty, S. Kanemitsu, A. Laurinčikas, On joint discrete universality of the Riemann zeta-function in short intervals, Mathematical Modelling and Analysis 2023, 28(4), 596-610.
3. Dubickas, I. E. Pritsker, Lower bounds for Mahler-type measures of polynomials, Proceedings of the American Mathematical Society 2023, 151 (9) , 3673--3680.
4. Laurinčikas, On the joint universality for Dirichlet series connected to periodic zeta-functions, Quaestiones Mathematicae 2023, 46, 2593-2604.
5. R. Kačinskaitė, A. Laurinčikas, B. Žemaitienė, On joint universality in the Selberg-Steuding class, Axioms 2023, 11, 737.

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)
Adam Mickiewicz University, Poznań (Poland)

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 2023, https://imo2023.jp/en/;
• program committee member of the International Conference in Probability Theory and Number Theory. Palanga, September 10–16, 2023.
Prof. P. Drungilas
• editorial board member of the Lithuanian Mathematical Journal, https://www.journals.vu.lt/LMJ/
• editorial board member of the journal Nonlinear Analysis: Modelling and Control, https://www.journals.vu.lt/nonlinear-analysis
• board member of the Lithuanian Mathematical Society, http://www.lmd.mif.vu.lt/lithuanian-mathematical-society/
• individual member of the European Mathematical Society, https://euromathsoc.org/
• member of the organizing committee of the International conference on probability theory and number theory. Palanga, September 10-16, 2023.
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
Doc. R. Kačinskaitė
• editorial board member of the Proceedings of the Lithuanian Mathematical Society;
• editorial board member of the journal Professional Studies: Theory and Practice;
• expert of the Lithuanian Society of Young Researchers‘ Competition for the best PhD thesis;
• board member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index_en.;
• head of the Revision Commission of the Lithuanian Mathematical Society;
• member of the AmericanMathematical Society;
• member of the international association Women in Number Theory;
• member of the Lithuanian Scientists Society;

ANALYTIC NUMBER THEORY GROUP
24 Naugarduko, 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 D. Šiaučiūnas (part-time, ŠA).
Assistants: Dr E. Karikovas, Dr R. Tamošiūnas (part-time)
Specialist: J. Putrius
Doctoral students: H. Gerges, T. Kondratavičius, T. Mikalauskaitė, J. Putrius,

RESEARCH INTERESTS
• Zeta functions
• Universality theorems
• Risk models

RESEARCH PROJECTS CARRIED OUT IN 2023
National Research Project
Research Council of Lithuania. Zeta functions: going beyond the Riemann`s case
(No. S-MIP-22-81). Prof. Dr R. Garunkštis. 2022–2025.
In 2020 S. M. Gonek, S. W. Graham and Y. Lee formulated the Lindelöf hypothesis for prime numbers and proved that it is equivalent to the Riemann Hypothesis. We showed that their result holds in the Selberg class of L-functions. In 1973 the functional independence of the Riemann zeta-function ζ(s) was proved, i.e., that ζ(s) and its derivatives do not satisfy a certain equation with continuous functions. We obtained a joint version of this theorem. Also, we proved that the Hurwitz zeta function is prime. In addition, we derived the Nevanlinna characteristic for this function.
Main Publications:
1. M. Dundulis, R. Garunkštis, E. Karikovas, R. Šimenas, Hurwitz zeta function is prime, Mathematics 2023, 11, 1150.
2. V. Garbaliauskienė , R. Macaitienė, D. Siaučiūnas, On the functional independence of the Riemann zeta-function, Mathematical Modelling and Analysis 2023, 28, 352–359.
3. R. Garunkštis, J. Putrius, An equivalent to the Riemann hypothesis in the Selberg class, Abh. Math. Semin. Univ. Hambg. 2023, 93, 77–83.

OTHER SCIENTIFIC ACTIVITIES
Prof. R. Garunkštis
• member of the organizing committee of the workshop Universality, Zeta-Functions, and Chaotic Operators, August 7-11, 2023, CIRM in Luminy, France;
• editorial board member of Lithuanian Mathematical Journal;
• editorial board member of Lietuvos matematikos rinkinys /Proceedings of the Lithuanian Mathematical Society.
Prof. R. Macaitienė
• board member of the Lithuanian Mathematical Society, http://www.lmd.mif.vu.lt/valdyba/ ;
• reviewer for Mathematical Reviews;
• reviewer for Zentralblatt MATH;
• member of the Program committee of the 64th conference of the Lithuanian Mathematical Society;
• 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 Higher Education Institution), https://svako.lt/uploads/svako-editorial-board.pdf;
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, 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 specialized and 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 Habil. R. Norvaiša. 2020–2024.
Mathematics education philosophy and politics. Establishment of methodical material of elementary mathematics for teachers. Research and creation of word problems motivating mathematical reasoning. Making dictionary of concepts of school mathematics.
We prepared the problems for Lithuanian mathematical olympiad, team olympiad and a selection test for Baltic Way olympiad. In 2023, the members of the center were team leaders for Lithuanian teams participating at the IMO (International Mathematical Olympiad, held in Chiba, Japan), MEMO (Middle European Mathematical Olympiad, held in Strečno, Slovakia), and the team olympiad Baltic Way, which was a live event in Germany, Flensburg.

Main publications:
1. Kilienė, R. Norvaiša (2023). Constructing a deductive argument when solving word problems. In P. Drijvers, C. Csapodi, H. Palmér, K. Gosztonyi, & E. Kónya (Eds.), Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13) (pp. 224–231). Alfréd Rényi Institute of Mathematics and ERME.
2. K. Mottlova, I. Kilienė (2023). Comparison of “What numbers make sense?” problems solving in the Czech Republic and Lithuania. In P. Drijvers, C. Csapodi, H. Palmér, K. Gosztonyi, & E. Kónya (Eds.), Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13) (pp. 208–215). Alfréd Rényi Institute of Mathematics and ERME.
3. R. Norvaiša (2023). Sąvokos, terminai ir simboliai Matematikos vadovėliuose. Lietuvos Matematikos Rinkinys, Ser. B, 64 tomas, pp. 59-74.

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.

INSTITUTE OF APPLIED MATHEMATICS
24 Naugarduko, 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 – Assoc. Prof. Dr Viktor Skorniakov

STAFF
Professors: Habil. Dr V. Čekanavičius, Dr P. Katauskis, Dr J. Markevičiūtė (part-time), Habil. Dr R. Norvaiša (part-time), 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, Habil. Dr R. Leipus, Dr R. Norvaiša (part-time), Dr G. Panasenko, Habil. Dr K. Pileckas, , Habil. Dr A. Račkauskas (part-time), Dr (HP) A. Štikonas (part-time), Dr R. Vidunas (part-time), Dr V. Zemlys-Balevičius (Partnership).
Associate professors: Dr D. Celov, Dr K. Kaulakytė, Dr V. Kazakevičius, Dr A. Kregždė, Dr R. Levulienė, Dr G. Puriuškis, Dr A. Reklaitė (Partnership), DrV. Skorniakov, Dr R. Vidunas (part-time).
Assistants: Dr A. Buteikis, Dr T. Danielius, 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), Dr M. Vilkienė (part-time).
Junior assistants: I. Kilienė, N. Kozulinas, G. Liaudanskaitė, A. Medžiūnas.
Lecturers: Dr R. Eidukevičius (part-time).
Affiliate professors: Dr V. Bagdonavičius, Dr V. Skakauskas.
Doctoral students: A. E. Bakhit, K. Bartkus, A. Birbilas, R. Buzas, U. Čižikovienė, I. Kilienė, G. Klimantavičiūtė, 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
• random fields
Applied mathematics
• methods of mathematical statistics
• mathematical modelling
• econometrics
• time series analysis
• insurance mathematics
• network traffic models

MAIN CONFERENCES ORGANIZED IN 2023
1. International workshop “Numerical Modeling in Hemodynamics”, 18-20 May, 2023, Vilnius, Trakai. Organizers: K. Kaulakytė, G. Panasenko, K. Pileckas.
2. Fudan International Seminar on Analysis, PDEs, and Fluid mechanics, 2023 (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
3. 64th Conference and Congress of Lithuanian Mathematical Society, June 21-22, 2023, Vilnius, Lithuania. Chairwoman of the programme committee prof. J. Markevičiūtė https://www.lmd2023.mif.vu.lt/

BEST REPORTS DELIVERED AT CONFERENCES ABROAD
1. K. Pileckas, Existence of nonstationary Poiseuille solution under minimal regularity assumptions. Sixth workshop on thin structures, Naples, Italy, September 7-9, 2023
2. K. Pileckas, Non-stationary Navier-Stokes equation in 2D power-cusp domain. Christmas Workshop on Fluid Mechanics, Milano, Italy, December 10-21, 2023.
3. E. Canon, F. Chardard, G. Panasenko, O. Štikonienė, Modeling of flows in a network of thin tubes. International conference Asymptotic Methods and Partial Differential Equations, Saint-Etienne, France, October 19-20, 2023.
4. R. Norvaiša, Constructing a deductive argument when solving word problems. 13th Congress of the European Society for Research in Mathematics Education (CERME13), July 10-14, 2023, Budapest, Hungary.

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

STAFF
Professors: Dr P. Katauskis, Habil. Dr K. Pileckas (part-time), Dr O. Štikonienė, Dr A. Štikonas (part-time),
Research fellows: Dr K. Karčiauskas, Dr G. Panassenko, 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 2023
Projects Supported by the University Budget
Theoretical and applied research of differential problems. Assoc. Prof. Dr K. Kaulakytė. 2022–2025.
The steady state Stokes-Brinkman equations in a thin tube structure were considered for given pressure at the inflow and outflow of the tube structure and the no slip boundary condition on the lateral boundary. The complete asymptotic expansion of the problem was constructed. The error estimates were proved. The method of partial asymptotic dimension reduction was introduced for the Stokes-Brinkman equations and justified by an error estimate. This method approximates the main problem by a hybrid dimension problem for the Stokes-Brinkman equations in a reduced domain.
The long-term potentiation of synaptic transmission was modeled as a feature of signal transduction - the bistable behavior in a chain of biochemical reactions with positive feedback.
Asymptotic expansions for eigenvalues and eigenfunctions of the one–dimensional Sturm–Liouville equation with one classical Dirichlet type boundary condition and two-point nonlocal boundary condition were obtained.
New constructions of high-quality multi-sided surfaces were obtained.
Mechanical structural modelling of DNA
Main publications:
1. Peters, Jorg; Lo, Kyle; Karčiauskas, Kęstutis. Algorithm 1032: Bi-cubic splines for polyhedral control nets// ACM transactions on mathematical software. New York: Association for Computing Machinery (ACM). 2023, vol. 49, no.1, p. 1-12. https://doi.org/10.1145/3570158
2. Karčiauskas, Kęstutis; Peters, Jorg. Improved caps for improved subdivision surfaces// Computer-aided design. Oxford: Elsevier. 2023, vol. 162, art. no. 103543, p. [1-13]. https://doi.org/10.1016/j.cad.2023.103543
3. Panasenko, Grigory; Pileckas, Konstantinas. Non-stationary Poiseuille flow of a non-Newtonian fluid with the shear rate dependent viscosity, Advances in Nonlinear Analysis, vol. 12, no. 1, 2023, pp. 20220259. https://doi.org/10.1515/anona-2022-0259
4. Katauskis, Pranas; Ivanauskas, Feliksas; Alaburda, Aidas. Mathematical model of synaptic long-term potentiation as a bistability in a chain of biochemical reactions with a positive feedback, Acta Biotheoretica, 71, 16 (2023). https://doi.org/10.1007/s10441-023-09466-6
5. Štikonas, Artūras; Sen, E. Asymptotic analysis of Sturm–Liouville problem with Dirichlet and nonlocal two-point boundary conditions// Math. Model. Anal., 28(2):308–329, 2023. https://doi.org/10.3846/mma.2023.17617
6. Canon, Eric; Chardard, Frederic; Panasenko, Grigory; Štikonienė, Olga. Asymptotics and discretization of a weakly singular kernel: Application to viscous flows in a network of thin tubes // J. Comput. Phys., 491(112327):1–35, 2023. https://doi.org/10.1016/j.jcp.2023.112327

National Research Projects
Research project, supported by the Research Council of Lithuania “Very weak solutions of inverse problems and applications” (No. S-MIP-23-43). Prof. K. Pileckas. 2023-2026.
The objective of this project is to build up a mathematical theory of very weak solutions to inverse problems for linear and nonlinear parabolic type equations with linear and nonlinear side conditions. In 2023 regularity questions for very weak solutions to inverse problems were considered.

International Research Projects
European Social Fund. Multiscale Mathematical and Computer Modeling for Flows in Networks: Application to Treatment of Cardiovascular Diseases (No 09.3.3-LMT-K-712-17-0003). Prof. G. Panasenko. 2020−2023.
In 2023 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. Pressure boundary conditions for viscous flows in thin tube structures: Stokes equations with locally distributed Brinkman term, Mathematical Models of Natural Phenomena, 2023. https://doi.org/10.1051/mmnp/2023016

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=editorialBoardų ;
• Member of the Lithuanian Mathematical Society http://www.journals.vu.lt/LMR/about/editorialTeam;
• Editorial board member of the journal Lietuvos matematikos rinkinys: Proceedings of The Lithuanian Mathematical Society https://www.journals.vu.lt/LMR/about/editorialTeam .
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;
• Editor-in-chief of the journal Lietuvos matematikos rinkinys: Proceedings of The Lithuanian Mathematical Society http://www.journals.vu.lt/LMR/about/editorialTeam.
Prof. P. Katauskis
• Member of the Lithuanian Mathematical Society,
Assoc. prof. K. Kaulakytė
• Member of the Lithuanian Mathematical Society,
• Editorial board member of the journal Lietuvos matematikos rinkinys: Proceedings of The Lithuanian Mathematical Society https://www.journals.vu.lt/LMR/about/editorialTeam .

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

STAFF
Professors: Habil. Dr V. Čekanavičius, Habil. Dr R. Norvaiša (part-time), Dr J. Markevičiūtė (part-time), Habil. Dr A. Račkauskas (part-time), Habil. Dr M. Radavičius (part-time), Habil. Dr D. Surgailis (emeritus), Dr V. Zemlys-Balevičius (Partnership).
Research fellows: Habil. Dr R. Leipus, Dr R. Norvaiša (part-time), Dr A. Račkauskas (part-time).
Associate professors: Dr D. Celov, Dr V. Kazakevičius, Dr R. Levulienė, Dr A. Reklaitė (Partnership), 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.
Affiliate professor: Habil. Dr V. Bagdonavičius.

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, survival analysis, medicine and other sciences and their applications
• Asymptotic analysis of distributions of statistics, their approximations and applications
• Insurance Mathematics.

RESEARCH PROJECTS CARRIED OUT IN 2023
Projects Supported by the University Budget
Analysis and Applications of Functions and Stochastic Systems. Prof. Dr J. Markevičiūtė and Assoc. Prof. Dr V. Skorniakov. 2022-2025.
Conducted research includes works on the topics listed in research interests list and spans the following: a) change point tests’ development for functional data; b) stochastic analysis of rough functions; c) Poisson type approximations for extremes of weakly dependent random variables; d) aggregation type analysis of long memory processes, e) group testing models analysis; f) applications of statistics in medicine and other fields; g) analysis of asymmetric time series as well as integer valued time series; h) contingency tests’ development for censored data; and I) analysis of heavy tailed distributions.
Main publications:
1. Leipus, Remigijus; Šiaulys, Jonas; Konstantinides, Dimitrios. Closure properties for heavy-tailedand related distributions : an overview. Cham : Springer, 2023. 92 p. (Springer Briefs in Statistics,ISSN 2191-544X, eISSN 2191-5458). ISBN 9783031345524. eISBN 9783031345531. DOI:10.1007/978-3-031-34553-1.
2. Čižikovienė, Ugnė; Skorniakov, Viktor. On a couple of unresolved group testing conjectures //Communications in statistics - theory and methods. Philadelphia : Taylor & Francis INC. ISSN0361-0926. eISSN 1532-415X. 2023, vol. 52, no. 8, p. 2448-2460.
3. Čižikovienė, Ugnė; Skorniakov, Viktor. On the optimal configuration of a square array grouptesting algorithm // Statistics and its interface. Somerwille : International Press of Boston. ISSN1938-7989. eISSN 1938-7997. 2023, vol. 16, iss. 4, p. 579-591. DOI: 10.4310/22-SII746.
4. Danielius, Tadas; Račkauskas, Alfredas. p-Variation of CUSUM process and testing change inthe mean // Communications in statistics: simulation and computation. Philadelphia : Taylor &Francis Inc. ISSN 0361-0918. eISSN 1532-4141. 2023, vol. 52, iss. 1, p. 43-55. DOI:10.1080/03610918.2020.1844899.
5. Karmelavičius, Jaunius; Mikaliūnaitė-Jouvanceau, Ieva; Buteikis, Andrius. What drove the rise inbank lending rates in Lithuania during the low-rate era? // Baltic journal of economics. Abingdon:Routledge journals; Taylor & Francis Ltd. ISSN 1406-099X. eISSN 2334-4385. 2023, vol. 23, iss.2, p. 162-199. DOI: 10.1080/1406099X.2023.2260587.
6. Konstantinides, Dimitrios; Leipus, Remigijus; Šiaulys, Jonas. On the non-closure under convolution for strong subexponential distributions // Nonlinear analysis: modelling and control. Vilnius : Vilniaus universiteto leidykla. ISSN 1392-5113. eISSN 2335-8963. 2023, vol. 28, no. 1, p. 97-115. DOI: 10.15388/namc.2023.28.30208.
7. Kubilius, Kęstutis; Medžiūnas, Aidas. A class of fractional stochastic differential equations with a soft wall // Fractal and fractional. Basel : MDPI. eISSN 2504-3110. 2023, vol. 7, iss. 2, art. no. 110, p. [1-19]. DOI: 10.3390/fractalfract7020110.
8. Leipus, Remigijus; Šiaulys, Jonas; Dirma, Mantas; Zovė, Romualdas. On the distribution-tail behaviour of the product of normal random variables // Journal of inequalities and applications. New York : Springer. ISSN 1029-242X. 2023, vol. 2023, art. no. 32, p. [1-13]. DOI: 10.1186/s13660-023-02941-1.
9. Leipus, Remigijus; Šiaulys, Jonas; Konstantinides, Dimitrios. Minimum of heavy-tailed random variables is not heavy tailed // AIMS mathematics. Springfield, MO : AIMS Press. eISSN 2473-6988. 2023, vol. 8, iss. 6, p. 13066-13072. DOI: 10.3934/math.2023658.
10. Lycholip, Valentinas; Puronaitė, Roma; Skorniakov, Viktor; Navickas, Petras; Tarutytė, Gabrielė; Trinkūnas, Justas; Burneikaitė, Greta; Kazėnaitė, Edita; Jankauskienė, Augustina. Assessment of the disease severity in patients hospitalized for COVID-19 based on the National Early Warning Score (NEWS) using statistical and machine learning methods: An electronic health records database analysis // Technology and health care. Amsterdam : IOS Press. ISSN 0928-7329. eISSN 1878- 7401. 2023, vol. 31, no. 6, p. 2513-2524. DOI: 10.3233/THC-235016.
11. Paukštys, Saulius; Šiaulys, Jonas; Leipus, Remigijus. Truncated moments for heavy-tailed andrelated distribution classes // Mathematics. Basel : MPDI. eISSN 2227-7390. 2023, vol. 11, art. no. 2172, p. [1-15]. DOI: 10.3390/math11092172.
12. Račkauskas, Alfredas; Suquet, Charles. Asymptotic normality in Banach spaces via Lindebergmethod // Journal of theoretical probability. New York : Springer. ISSN 0894-9840. eISSN 1572-9230. 2023, vol. 36, iss. 1, p. 409-455. DOI: 10.1007/s10959-022-01177-x.

National Research Projects
The Excellence center „Data centre for machine learning and quantum computing in the life and biomedical sciences“ by programme "University Excellence Initiatives" of the Ministry of Education, Science and Sports of the Republic of Lithuania (Measure No. 12-001-01-01-01 "Improving the Research and Study Environment"). The head of the Excellence center – prof. J. Markevičiūtė.

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. J. Markevičiūtė
• member of the Lithuanian Mathematical Society
• http://www.lmd.mif.vu.lt/
• member of the Lithuanian Statistical Society
• http://www.statistikusajunga.lt/Nariai/
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
• http://www.lmd.mif.vu.lt/valdyba/
Assoc. Prof. V. Skorniakov
• member of the Lithuanian Mathematical Society.
• member of the International Biometric Society, Nordic-Baltic Region;
• editorial board member of the Lithuanian Mathematical Journal, http://www.springer.com/mathematics/journal/10986?detailsPage=editorialBoard;
• editorial board member of the journal Modern Stochastics: Theory and Applications, https://www.vmsta.org/journal/VMSTA/information/editorial-board

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. J. Markevičiūtė

• member of the INFOBAL Education committee
Prof. R. Norvaiša
• Member of a commission set up by Ministry of Education, Science and Sport to consult on school mathematics

CONSULTATIONS PROVIDED BY THE UNIT TO THE PUBLIC OR ECONOMIC ENTITIES
Prof. R. Norvaiša
• Consultations of the publisher ,,Šviesa“ with the aim to evaluate mathematics textbooks.

MOST IMPORTANT RESEARCH DISSEMINATION ACTIVITIES
1. Prof. J. Markevičiūtė, A. Račkauskas. Functional data analysis: from music to medicine. VU science popularization journal Spectrum, 2023: (38), 84-89 p.
2. Prof. J. Markevičiūtė. Conference for math teachers and pupils Studies and research at VU Faculty of Mathematics and Informatics 2023 in Palanga.
3. Prof. J. Markevičiūtė. Five visits in schools with the program Lesson with University‘s teacher. Giving the lesson Forget the average, be an outlier.
4. Prof. J. Markevičiūtė. Interview in a LRT TV show „Smalsumo genas“.