Staff

Research Interests

• global optimization,
• parallel computing,
• data analysis and visualization.

Previous position(s)

• 2008- Principal Researcher (Research Professor), Head of Group (since 2017), Institute of Data Science and Digital Technologies (in 2017 renamed from Institute of Mathematics and Informatics, in 2010 merged to Vilnius University), Faculty of Mathematics and Informatics, Vilnius University, Lithuania
• 2007-2013 Professor, Department of Mathematical Modelling, Faculty of Fundamental Sciences, Vilnius Gediminas Technical University, Lithuania
• 2004-2008, Researcher, Senior researcher, Institute of Mathematics and Informatics, Lithuania
• 2003-2004, Royal Society/NATO Postdoctoral Fellow, Department of Chemical Engineering, University College London, UK
• 1996-2003 Laboratory assistant, Doctoral student/assistant, Lecturer, Associated professor, Department of Computer Science, Faculty of Informatics, Kaunas University of Technology, Lithuania

Books

Books Authored

• P.M. Pardalos, A. Žilinskas, J. Žilinskas (2017) Non-Convex Multi-Objective Optimization. Springer Optimization and Its Applications, ISSN 1931-6828, Vol. 123, Springer, ISBN 978-3-319-61005-4. doi:10.1007/978-3-319-61007-8.
• R. Paulavičius, J. Žilinskas (2014) Simplicial Global Optimization. SpringerBriefs in Optimization, ISSN 2190-8354, Springer, ISBN 978-1-4614-9092-0. doi:10.1007/978-1-4614-9093-7. [Abstracted/Indexed in Web of Science (Book Citation Index), SpringerLink, zbMATH, MathSciNet. Preview at Amazon.com, Google Books].
• G. Dzemyda, O. Kurasova, J. Žilinskas (2013) Multidimensional Data Visualization: Methods and Applications. Springer Optimization and Its Applications, ISSN 1931-6828, Vol. 75, Springer, ISBN 978-1-4419-0235-1. doi:10.1007/978-1-4419-0236-8. [Abstracted/Indexed in SpringerLink, zbMATH, MathSciNet. Preview at Amazon.com, Google Books].
• G. Dzemyda, O. Kurasova, J. Žilinskas (2008) Daugiamačių duomenų vizualizavimo metodai. Mokslo aidai, ISBN 978-9986-680-42-0.
• E. Kazanavičius, J. Žilinskas (2007, 2002) Informacijos apdorojimo sistemos. Technologija, ISBN 9955-09-303-X.

Books Editedb>

• P.M. Pardalos, A. Zhigljavsky, J. Žilinskas (Eds.)(2016) Advances in Stochastic and Deterministic Global Optimization. Springer Optimization and Its Applications, ISSN 1931-6828, Vol. 107, Springer, ISBN 978-3-319-29973-0. doi:10.1007/978-3-319-29975-4.
• L. Lopes, J. Žilinskas, A. Costan, R.G. Cascella, G. Kecskemeti, E. Jeannot, M. Cannataro, L. Ricci, S. Benkner, S. Petit, V. Scarano, J. Gracia, S. Hunold, S.L. Scott, S. Lankes, C. Lengauer, J. Carretero, J. Breitbart, M. Alexander (Eds.)(2014) Euro-Par 2014: Parallel Processing Workshops. Euro-Par 2014 International Workshops, Porto, Portugal, August 25-26, 2014, Revised Selected Papers, Part I. Lecture Notes in Computer Science, ISSN: 0302-9743, Vol. 8805, Springer, ISBN 978-3-319-14324-8. doi:10.1007/978-3-319-14325-5. [Abstracted/Indexed in Web of Science (Conference Proceedings Citation Index), SpringerLink]
• L. Lopes, J. Žilinskas, A. Costan, R.G. Cascella, G. Kecskemeti, E. Jeannot, M. Cannataro, L. Ricci, S. Benkner, S. Petit, V. Scarano, J. Gracia, S. Hunold, S.L. Scott, S. Lankes, C. Lengauer, J. Carretero, J. Breitbart, M. Alexander (Eds.)(2014) Euro-Par 2014: Parallel Processing Workshops. Euro-Par 2014 International Workshops, Porto, Portugal, August 25-26, 2014, Revised Selected Papers, Part II. Lecture Notes in Computer Science, ISSN: 0302-9743, Vol. 8806, Springer, ISBN 978-3-319-14312-5. doi:10.1007/978-3-319-14313-2. [Abstracted/Indexed in Web of Science (Conference Proceedings Citation Index), SpringerLink]
• E. Jeannot, J. Žilinskas (Eds.)(2014) High-Performance Computing on Complex Environments. Parallel and Distributed Computing Series, Wiley, ISBN 978-1-118-71205-4. doi:10.1002/9781118711897. [Abstracted/Indexed in Wiley Online Library. Preview at Amazon.com]
• R. Čiegis, D. Henty, B. Kågström, J. Žilinskas (Eds.)(2009) Parallel Scientific Computing and Optimization. Springer Optimization and Its Applications, ISSN 1931-6828, Vol. 27, Springer, ISBN 978-0-387-09706-0. doi:10.1007/978-0-387-09707-7. [Abstracted/Indexed in Web of Science (Conference Proceedings Citation Index), SpringerLink, Inspec, MathSciNet, Zentralblatt MATH. Preview at Amazon.com, Google Books].
• A. Törn, J. Žilinskas (Eds.)(2007) Models and Algorithms for Global Optimization. Springer Optimization and Its Applications, ISSN 1931-6828, Vol. 4, Springer, ISBN 0-387-36720-9. doi:10.1007/978-0-387-36721-7. [Reviewed in Interfaces. Abstracted/Indexed in Web of Science (Book Citation Index), SpringerLink, MathSciNet, Zentralblatt MATH. Preview at Amazon.com, Google Books]
• I.D.L. Bogle, J. Žilinskas (Eds.)(2006) Computer Aided Methods in Optimal Design and Operations. Series on Computers and Operations Research, Vol. 7, World Scientific, ISBN 981-256-909-X. [Abstracted/Indexed in Web of Science (Conference Proceedings Citation Index), Inspec, MathSciNet, Zentralblatt MATH, World Scientific e-proceedings. Preview at Amazon.com, Google Books]

Scientific publications

Publications with VU Institute of Data Science and Digital Technologies & Institute of Mathematics and Informatics affiliation

Selected papers

• J. Žilinskas, M. Dür (2011) Depth-first simplicial partition for copositivity detection, with an application to MaxClique. Optimization Methods & Software, ISSN 1055-6788, 26(3), 499-510. doi:10.1080/10556788.2010.544310 In this paper, we developed an improved depth-first simplicial partition algorithm which reduces memory requirements significantly and therefore enables copositivity checks of much larger matrices – of size up to a few thousands instead of a few hundreds.
• R. Paulavičius, Y.D. Sergeev, D.E. Kvasov, J. Žilinskas (2014) Globally-biased DISIMPL algorithm for expensive global optimization. Journal of Global Optimization, ISSN 0925-5001, 59(2-3), 545-567. doi: 10.1007/s10898-014-0180-4 Journal of Global Optimization best paper award 2014. We proposed a globally-biased simplicial partition algorithm for optimization of Lipschitz functions with an unknown Lipschitz constant balancing local and global information during the search. Extensive numerical experiments executed on 800 multidimensional multiextremal test functions show a very promising performance with respect to competitors.
• A. Žilinskas, J. Žilinskas (2015) Adaptation of a one-step worst-case optimal univariate algorithm of bi-objective Lipschitz optimization to multidimensional problems. Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 21(1-3), 89-98. doi:10.1016/j.cnsns.2014.08.025 We developed a multidimensional bi-objective optimization algorithm based on the branch-and-bound approach, trisection of hyper-rectangles which cover the feasible region, and Lipschitz bounds for the Pareto front.
• P. Fernández, B. Pelegrín, A. Lančinskas, J. Žilinskas (2017) New heuristic algorithms for discrete competitive location problems with binary and partially binary customer behavior. Computers & Operations Research, ISSN 0305-0548, 79, 12-18. doi:10.1016/j.cor.2016.10.002 We studied the discrete location problems for an entering firm which competes with other established firms in a market for the so-called Binary and Partially Binary Rules, in which the full demand of a customer is served by the most attractive facility, or by all the competing firms but patronizing only one facility of each firm, the one with the maximum attraction in the firm. Two new heuristic algorithms based on ranking of potential locations are proposed to deal with this sort of location problems.
• R. Paulavičius, Y.D. Sergeyev, D.E. Kvasov, J. Žilinskas (2020) Globally-biased BIRECT algorithm with local accelerators for expensive global optimization, Expert Systems with Applications, ISSN 0957-4174, 144, art. no. 113052. doi:10.1016/j.eswa.2019.113052. In this paper, we propose a new DIRECT-type hybrid technique for black-box global optimization problems with expensive function evaluations. The new algorithm incorporates a novel sampling on diagonals and bisection strategy (instead of a trisection which is commonly used in the existing DIRECT-type algorithms), embedded into the globally-biased framework, and enriched with three different local minimization strategies.
• P. Fernandez, B. Pelegrin, A. Lančinskas, J. Žilinskas (2021) Exact and heuristic solutions of a discrete competitive location model with Pareto-Huff customer choice rule, Journal of Computational and Applied Mathematics, ISSN 0377-0427, 385, art. no. 113200. doi:10.1016/j.cam.2020.113200. In this paper, we used a variant of discrete competitive location model with the Huff (proportional) customer choice rule, the so called Pareto-Huff, which have had little attention on the literature because of its nonlinear formulation. We proposed a first formulation as a nonlinear programming problem and then presented an equivalent formulation as a linear programming problem, which allows us to obtain exact solutions for medium size problems. For larger size problems we propose a heuristic procedure to obtain the best approximate solutions.
• J. Žilinskas, A. Lančinskas, M.R. Guarracino (2021) Pooled testing with replication as a mass testing strategy for the COVID-19 pandemics, Scientific Reports, ISSN 2045-2322, 11(1), art. no. 3459. doi:10.1038/s41598-021-83104-4. Previously we were developing mathematical models to plan Next Generation Sequencing experiments to detect rare mutations in pools of patients to minimize the experiment cost and proposed different strategies to replicate patients in pools, which have the advantage to decrease the overall costs and guarantee mutations are detectable in the experimental setting. During COVID-19 pandemic we saw that it is essential to test as many people as possible, in order to detect early outbreaks of the infection, and based on our previous experience in pool testing we proposed a group testing technique in conjunction with an advanced replication scheme in which each patient is allocated in two or more groups to reduce the total numbers of tests and to allow testing of even larger numbers of people. Significant reduction of tests was achieved compared to individual testing, which was very important in early pandemic when the availability of reactants, trained technicians and laboratories was limited, and what is also very important – without delay in response time.

Peer recognition

Selected scientific awards

• Lithuanian National Science Award 2015 for works on Global optimization algorithms creation, prallelization and applications. Lithuanian National Science Award is the most prestigious scientific award in Lithuania.
• Vilnius University Rector's Science Award 2011, 2017, 2021.
• Lithuanian state scholarship for scientists (12 months, 2006).
• Royal Society/NATO Postdoctoral Fellowship to perform research on Stochastic interval methods for process optimisation at University College London, UK (2003-2004).

Selected invited presentations

• 5th International Conference and Summer School Numerical Computations: Theory and Algorithms, 2025
• 21st International Conference of Numerical Analysis and Applied Mathematics, 2023
• 11th Learning and Intelligent Optimization Conference, 2017.
• 19th International Conference Mathematical Modelling and Analysis, 2014.
• 8th International Conference on P2P, Parallel, Grid, Cloud and Internet Computing, 2013.
• 3rd International Conference on Network Analysis, 2013.
• World Congress on Global Optimization in Engineering & Science, 2009.

Elected/invited memberships

• Committee of Natural and Technical Sciences of the Research Council of Lithuania (since 2021). The council is the main national institution providing Research and Development funding in Lithuania. The committee organizes and oversees calls for projects of most research and developing programmes.
• Senate of Vilnius University (since 2019), Board of Faculty of Mathematics and Informatics (2018-2021), Board of Institute of Mathematics and Informatics (2010-2017), Head of Global Optimization Group (since 2017), Head of Department of Process Recognition (2012-2017), Chair of Doctoral Committee for Computer Engineering (since 2018).
• President of International Society of Global Optimization (since 2026). Vice-President of International Society of Global Optimization (2018-2025). The society organizes congresses and workshops, awards prizes for contributions in global optimization, etc.
• Chair (2014-2018), Member (2012-2014) of Managing board of Continuous Optimization Working Group (EUROPT) of The Association of European Operational Research Societies (EURO). One of the largest working groups of EURO, organizes annual workshops, awards EUROPT fellow.
• Member of editorial boards of international journals (indexed in Web of Science, Scopus): Computational Management Science (Springer), (since 2008); Computer Science (AGH University of Krakow, Poland), (since 2017); Informatica (Vilnius University, Lithuania), (since 2008); Information Technology and Control (Kaunas University of Technology, Lithuania), (since 2017); Journal of Global Optimization (Springer), (since 2012); Mathematical Methods of Operations Research (Springer), (since 2015); Mathematical Modelling and Analysis (Vilnius Gediminas Technical University, Lithuania), (since 2009); Open Computer Science (De Gruyter), (since 2010); Optimization Letters (Springer), (since 2007); SN Operations Research Forum (Springer Nature), (since 2019).
• Chair of programme committees of international conferences: 7th World Congress on Global Optimization, 2021; Joint ORSC/EURO International Conference 2015 on Continuous Optimization, 2015; 10th EUROPT Workshop on Advances in Continuous Optimization, 2012.
• International expert panels: European Commission Horizon and H2020 expert for evaluation of proposals and monitoring of projects (EUROHPC, EIC, WIDERA, MSCA, WIDESPREAD, FET) (since 2017); review panel member for the evaluation of COST Open Calls (2015-2017); nominated expert of Lithuania at COST domain Information and Communication Technologies (2006-2014); member of European Science Foundation (ESF) Standing Committee for Physical and Engineering Sciences (PESC) (2011-2012); member of Independent Evaluation Panel at Eurostars (2010).
• Member of managing committees of COST actions TD1207 "Mathematical Optimization in the Decision Support Systems for Efficient and Robust Energy Networks" (2013-2017), IC0805 "Open European Network for High Performance Computing on Complex Environments" (2009-2013).

Leading projects

• Head of institutional research topics Global Optimization (2019-2025); Analysis, Recognition, Optimization and Control of Nonlinear Systems and Complex Structured Signals (2014-2017).
• Head of the project "Creation and development of algorithms for global optimization" supported by Research Council of Lithuania (2014-2016) through MIP programme – the most popular and competitive bottom-up programme for research group grants in Lithuania.
• Head of activity in the project "Theoretical and Engineering Aspects of e-Service Technology Development and Application in High-performance Computing Platforms" (No. VP1-3.1-ŠMM-08-K-01-010) funded by the European Social Fund (2012-2015).
• Head of the project "Global Optimization with Simplicial Partitions" supported by Research Council of Lithuania (2010-2011) through MIP programme.
• Leader of the group of researchers at the Institute of Mathematics and Informatics participating in the project "Global optimization of complex systems using high performance computing and grid technologies" supported by Lithuanian State Science and Studies Foundation through the Programme for Higher Technologies (2007-2009).
• Leader of the group of researchers at the Institute of Mathematics and Informatics participating in the programme "Parallel and distributed computing and e-infrastructure network (LitGrid)" supported by Lithuanian Ministry of Education and Science (2007-2009).
• Returning fellow of the NATO Reintegration Grant "Global optimisation combining deterministic and stochastic approaches for chemical engineering" (2004-2007).

PhD and postdoc supervision

• Currently supervisor of 2 PhD students.
• Supervisor of 2 postdoctoral fellows funded by grants from the Research Council of Lithuania.
• Supervisor of 5 and academic consultant of 2 defended PhDs with successful carriers in academia and industry, including:
• Remigijus Paulavičius "Global Optimization with Simplicial Partitions" 2006-2010, defended 2010 09 29, was a postdoctoral fellow at Imperial College London, UK (2014-2017), currently is Vice-dean for Scientific Affairs of Faculty of Mathematics and Informatics, professor and head of Blockchain and Quantum Technologies Group at Vilnius University.
• Algirdas Lančinskas "Parallelization of Random Search Global Optimization Algorithms" 2009-2013, defended 2013 06 11, was a postdoctoral fellow at Vilnius University funded by Research Council of Lithuania (2017-2019), currently is a senior researcher and associate professor at Vilnius University.

Collaborations

• Co-authors of many of my publications are from abroad – researchers from Spain (University of Murcia, University of Almeria), Italy (University of Calabria, University of Cassino), UK (University of Edinburgh, University College London), US (University of Florida), Germany (University of Groningen), France (INRIA), Denmark (Technical University of Denmark).
• Some of co-operations were established during my visits abroad: UK (total duration around 2 years), Denmark (total duration 5 months), US (total duration around 1 month).