Projecten per jaar
Organisatieprofiel
Introductie / missie
At a high level, we study the underlying mathematical structure of complex systems, and develop effective techniques to analyze and optimize them. All such systems arise and are inspired by real-world applications. Therefore, we investigate them from a double perspective: we aim at advancing their theoretical foundations, while at the same time maintaining strong ties and connections with industry and other scientific domains. Likewise, the education portfolio revolves around rigorous mathematical concepts and stylized models, but with an eye towards real-life problems and applications.
Visit the SPOR website for more information
Highlighted phrase
We conduct fundamental research in discrete optimization, stochastic operations research, probability theory and statistics.
Organisatieprofiel
The cluster features 4 main research disciplines.
1) Combinatorial Optimization. We investigate complex discrete optimization problems that arise at the interface of operations research, applied mathematics, and theoretical computer science. A primary goal is to design (exact, approximate, and heuristic) algorithms to solve such problems. The development of such algorithms heavily exploits advanced techniques in the areas of mathematical programming, polyhedral combinatorics, graph theory and network design. Typical application areas are scheduling, production planning, logistics, telecommunication/routing networks, game theory, health care, data science.
2) Stochastic Operations Research. We study the effects of randomness and uncertainty on complex systems and optimization problems, with techniques at the intersection of applied probability and operations research. Particular attention is given to the area of stochastic processes on interacting networks, queueing theory and the analysis of random walks and higher-dimensional Markov processes. A key goal is to develop analytic, probabilistic, algorithmic and asymptotic methods, with emphasis on asymptotic laws and scaling limits for large-scale critical systems. Typical application areas are computer-communications, energy networks, logistics and service operations, biological systems, particle interactions, and social networks.
3) Probability. We investigate probabilistic networks and their applications in statistical physics and networking. A special focus is on the structure of random graphs, algorithms and stochastic processes on them, as well as spin systems and self-interacting random processes. The main aim is to identify the scaling behavior for such systems, by applying methodology such as large deviations, combinatorial expansions and coupling techniques. Applications include physics, social networks, and complexity problems such as arising in chemistry and biomedical engineering.
4) Statistics. We develop and compare data-analytical methods for analyzing and sampling complex structured correlated data sets. It includes parameter estimation, model fitting, latent variable models, mixed models, missing data, statistical process control, survival and reliability theory, time series analysis, and statistical learning methods. One of the central themes is the analysis of high-dimensional temporal data sets and other large data sets. Applications include data science and machine learning, biopharmaceutical companies, chemical industry, medical centers.
Vingerafdruk
Samenwerkingen en hoofdonderzoeksgebieden uit de afgelopen vijf jaar
Profielen
-
Aida Abiad Monge
- Mathematics and Computer Science, Algebraic Combinatorics - Universitair Hoofddocent
- EAISI Foundational - Universitair Hoofddocent
Persoon: UHD : Universitair Hoofddocent
-
Osama Almalik, MSc
- Mathematics and Computer Science, Statistics - Promovendus
Persoon: Prom. : Promovendus
-
Jasper R.M. Arends
- Mathematics and Computer Science, Mathematical Statistics - Promovendus
Persoon: Prom. : Promovendus
-
Waardevol AI EAISI IMPULS
Sanders, J. (Project Manager), van Kempen, S. F. M. (Projectmedewerker) & van Vuren, T. P. A. (Projectmedewerker)
1/01/21 → 31/07/26
Project: Third tier
-
Complexity in Transport and Logistics
Vlasiou, M. (Project Manager) & Schol, C. (Projectmedewerker)
28/08/17 → 30/09/22
Project: Onderzoek direct
-
Onderzoeksoutput
-
A linear programming bound for sum-rank metric codes
Abiad, A. (Corresponding author), Gavrilyuk, A. L., Khramova, A. P. & Ponomarenko, I., jan. 2025, In: IEEE Transactions on Information Theory. 71, 1, blz. 317-329 13 blz., 10741552.Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review
-
An Exploration of Methods to Resolve Inconsistent Self-Reporting of Chronic Conditions and Impact on Multimorbidity in the Canadian Longitudinal Study on Aging
Andreacchi, A. T., Brini, A., Van den Heuvel, E., Muniz-Terrera, G., Mayhew, A., St. John, P., Stirland, L. E. & Griffith, L. E. (Corresponding author), jan. 2025, In: Journal of Aging and Health. 37, 1-2, blz. 40-53 14 blz.Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review
Open AccessBestand4 Downloads (Pure) -
Brain connectivity and cognition in glioma patients
Smolders, L., 7 jan. 2025, Eindhoven: Eindhoven University of Technology. 241 blz.Onderzoeksoutput: Scriptie › Dissertatie 1 (Onderzoek TU/e / Promotie TU/e)
Open AccessBestand
Datasets
-
christopherhojny/relaxation_complexity
Averkov, G. (Bijdrager), Hojny, C. (Ontwerper) & Schymura, M. (Bijdrager), Eindhoven University of Technology, 21 mrt. 2023
Dataset
-
Additional file 1 of Comparison of analysis methods and design choices for treatment-by-period interaction in unidirectional switch designs: a simulation study
Zhan, Z. (Ontwerper), de Bock, G. H. (Ontwerper) & van den Heuvel, E. R. (Ontwerper), Figshare, 18 nov. 2022
DOI: 10.6084/m9.figshare.21582011, https://springernature.figshare.com/articles/dataset/Additional_file_1_of_Comparison_of_analysis_methods_and_design_choices_for_treatment-by-period_interaction_in_unidirectional_switch_designs_a_simulation_study/21582011
Dataset
-
Data underlying the publication: Learning the mechanisms of network growth
Touwen, L. E. (Ontwerper), Bucur, D. (Ontwerper), van der Hofstad, R. W. (Ontwerper) & Litvak, N. V. (Ontwerper), 4TU.Centre for Research Data, 19 sep. 2023
DOI: 10.4121/0b40e329-7b33-4b8f-a289-ab6d1893b437, https://data.4tu.nl/datasets/0b40e329-7b33-4b8f-a289-ab6d1893b437 en nog één link, https://data.4tu.nl/datasets/0b40e329-7b33-4b8f-a289-ab6d1893b437/1 (minder tonen)
Dataset
Prijzen
-
2017 AMSI-ANZIAM Lecturer
Vlasiou, M. (Ontvanger), 2017
Prijs: Anders › Visiting scholar › Wetenschappelijk
-
2020 Applied Probability Trust Prize
Sloothaak, F. (Ontvanger), 16 jan. 2020
Prijs: Anders › Overig › Wetenschappelijk
-
Algorithms for coping with uncertainty and intractability
Bansal, N. (Ontvanger), 2013
Prijs: ERC › Consolidator › Wetenschappelijk
Activiteiten
-
Artificial Intelligence and Organ Allocation: an Overview
Spieksma, F. C. R. (Spreker)
14 nov. 2024Activiteit: Types gesprekken of presentaties › Keynote spreker › Wetenschappelijk
-
Detecting and Handling Symmetries in MINLP
Hojny, C. (Spreker)
13 nov. 2024Activiteit: Types gesprekken of presentaties › Genodigd spreker › Wetenschappelijk
-
NetSciNL Symposium
Litvak, N. V. (Organisator)
18 okt. 2024Activiteit: Types deelname aan of organisatie van een evenement › Workshop, seminar, cursus of expositie › Wetenschappelijk
Knipsels
-
Centrality measures: who is the most important in a network?
2/06/23
1 Mediabijdrage
Pers / media: PR activiteiten
-
-
Feest voor gelauwerde TU/e-wiskundemaster
11/11/22
1 Mediabijdrage
Pers / media: Vakinhoudelijk commentaar
Impacts
-
Stochactic processes on interacting networks
Vlasiou, M. (Content manager)
Impact: Research Topic/Theme (at group level)
-
Scripties/Masterproeven
-
2-class Terror Queue model: Analysis and optimal assignment of agents
Janicka-Verpaalen, A. (Auteur), Vlasiou, M. (Afstudeerdocent 1), jul. 2020Scriptie/Masterproef: Bachelor
Bestand -
A brief exploration into divergent series in probability theory
van Wijk, W. J. (Auteur), Sanders, J. (Afstudeerdocent 1), 2020Scriptie/Masterproef: Bachelor
Bestand -
A case study based decision tree on the added value of probabilistic forecasting for inventory management
Riesewijk, C. (Auteur), Broekmeulen, R. A. C. M. (Afstudeerdocent 1), Drent, C. (Afstudeerdocent 2) & Imdahl, C. (Afstudeerdocent 2), 29 nov. 2024Scriptie/Masterproef: Master
Bestand