Large Graphs and Networks

Research on large graphs and networks is conducted by 10 professors and about 30 PhD students and postdocs.

Principal Investigators :

Pierre-Antoine Absil, Vincent Blondel, Olivier Bonaventure, Jean-Charles Delvenne, Yves Deville, Pierre Dupont, Julien Hendrickx, Raphaël Jungers, Etienne Rivière, Marco Saerens

Research Labs :

Machine Learning Group, IP Networking Lab, Cloud and Large Scale computing group

Research Areas :

We look at some of the most recent and fundamental computational challenges raised by large networks. We study questions related to the classification, equilibria calculation, visualization, hierarchical reduction, analysis of dynamical properties and stochastic analysis of large networks. We also develop new analysis techniques allowing to extract useful information from graphs and networks, for example by detecting tightly connected groups within the network, finding the most prestigious nodes, categorizing unlabeled nodes thanks to some labeled ones, computing similarities between nodes, etc.

Applications include topics such as data-mining of text documents, web-searching, analysis of telephone, traffic and electricity networks. The Internet, the largest deployed network today, is of particular interest. Measurement and modeling tools and techniques that we develop allow us to obtain more accurate information about its organization (interconnections between Internet Service Providers, network topologies, ...) and to build realistic models of computer networks. We are using these tools and models to better understand the structure of the Internet, and also to evaluate the performance of new networking protocols.

Most recent publications

Below are listed the 10 most recent journal articles and conference papers produced in this research area. You also can access all publications by following this link : see all publications.


Journal Articles


1. Daroczy, Balint Zoltan. Gaussian Perturbations in ReLU Networks and the Arrangement of Activation Regions. In: Mathematics, Vol. 10, no.7, p. 1123 (2022). doi:10.3390/math10071123. http://hdl.handle.net/2078.1/259924

2. Hendrickx, Julien; Monnoyer De Galland De Carnières, Charles. Fundamental Performance Limitations for Average Consensus in Open Multi-Agent Systems. In: IEEE Transactions on Automatic Control, (2022). (Accepté/Sous presse). http://hdl.handle.net/2078.1/257419

3. Shi, Mingming. Distributed estimation of time varying bias in relative state measurements. In: IEEE Transactions on Automatic Control, , p. 1-1 (2021). doi:10.1109/tac.2021.3115429 (Accepté/Sous presse). http://hdl.handle.net/2078.1/252081

4. Kerepesi, Csaba; Benczúr, A; Kovács, A.J.; Milics, G; Nyéki, Anikó; Nagy, J; Neményi, M; Daroczy, Balint Zoltan; Harsányi, E. Application of spatio-temporal data in site-specific maize yield prediction with machine learning methods. In: Precision agriculture, (2021). doi:10.1007/s11119-021-09833-8 (Accepté/Sous presse). http://hdl.handle.net/2078.1/249754

5. O’Clery, Neave; Loaiza Saa, Isabella; Heroy, Samuel; Pentland, Alex. COVID-19 policy analysis: labour structure dictates lockdown mobility behaviour. In: Journal of The Royal Society Interface, Vol. 18, no.176 (2021). doi:10.1098/rsif.2020.1035. http://hdl.handle.net/2078.1/244781

6. Mehrmann, Volker; Van Dooren, Paul. Structured Backward Errors for Eigenvalues of Linear Port-Hamiltonian Descriptor Systems. In: SIAM Journal on Matrix Analysis and Applications, Vol. 42, no.1, p. 1-16 (2021). doi:10.1137/20m1344184. http://hdl.handle.net/2078.1/242981

7. Mehrmann, Volker; Van Dooren, Paul. Optimal Robustness of Port-Hamiltonian Systems. In: SIAM Journal on Matrix Analysis and Applications, Vol. 41, no.1, p. 134-151 (2020). doi:10.1137/19m1259092. http://hdl.handle.net/2078.1/242971

8. Van Dooren, Paul; Mastronardi, Nicola. On QZ steps with perfect shifts and computing the index of a differential-algebraic equation. In: IMA Journal of Numerical Analysis, (2020). doi:10.1093/imanum/draa049 (Accepté/Sous presse). http://hdl.handle.net/2078.1/242895

9. Van Dooren, Paul; Laudadio, Teresa; Mastronardi, Nicola. Computing the eigenvectors of nonsymmetric tridiagonal matrices. In: Computational Mathematics and Mathematical Physics, Vol. 61, p. p. 733-749 (2021). (Accepté/Sous presse). http://hdl.handle.net/2078.1/242881

10. Dopico, Froilán M.; Quintana, María C.; Van Dooren, Paul; Marcaida, Silvia. Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems. In: Linear Algebra and its Applications, Vol. 604, p. 441-475 (2020). doi:10.1016/j.laa.2020.07.004. http://hdl.handle.net/2078.1/242857


Conference Papers


1. Hendrickx, Julien; Shi, Mingming. Energy savings alone cannot explain the emergence of birds echelon formations. In: Proceedings of the 60th IEEE Conference on Decision and Control (CDC) 2021, I E E E, 2021, 6957 - 6962 xxx. doi:10.1109/cdc45484.2021.9682910. http://hdl.handle.net/2078.1/258327

2. Hendrickx, Julien; Vizuete, Renato; Frasca, Paolo; Monnoyer De Galland De Carnières, Charles; Panteley, Elena. Random coordinate descent algorithm for open multi-agent systems with complete topology and homogeneous agents. In: Proceedings of the 60th IEEE Conference on Decision and Control (CDC), IEEE, 2021, 1701-1708 xxx. http://hdl.handle.net/2078.1/258326

3. Hendrickx, Julien; Legat, Antoine. Path-Based Conditions for Local Network Identifiability. In: Proceedings of the 60th IEEE Conference on Decision and Control (CDC), IEEE, 2021, 3020-3025 xxx. doi:10.1109/cdc45484.2021.9683062. http://hdl.handle.net/2078.1/258323

4. Hendrickx, Julien; Colla, Sébastien. Automated Worst-Case Performance Analysis of Decentralized Gradient Descent. In: Proceedings of the 60th IEEE Conference on Decision and Control (CDC), IEEE, 2021, 2623-2629 xxx. http://hdl.handle.net/2078.1/257427

5. Hendrickx, Julien; Andersson, Sean B; Cassandras, Christos G; Pinto, Samuel C. Optimal Minimax Mobile Sensor Scheduling Over a Network. 2021 xxx. http://hdl.handle.net/2078.1/249179

6. Hendrickx, Julien; Legat, Antoine. Local Network Identifiability with Partial Excitation and Measurement. In: Proceedings of the 57th IEEE Conference on Decision and Control (CDC 2020). p. 4342-4347 (2020). 2020 xxx. http://hdl.handle.net/2078.1/249174

7. Hendrickx, Julien; Rabbat, Michael G. Stability of Decentralized Gradient Descent in Open Multi-Agent Systems. In: Proceedings of the 57th IEEE Conference on Decision and Control (CDC 2020). p. 4885-4890 (2020). 2020 xxx. http://hdl.handle.net/2078.1/249172

8. Hendrickx, Julien; Saligrama, Venkatesh; Olshevsky, Alex. Minimax Rate for Learning From Pairwise Comparisons in the BTL Model. In: PMLR Proceedings of Machine Learning Research. Vol. 119, p. 4193-4202 (2020). 2020 xxx. http://hdl.handle.net/2078.1/249156

9. Shi, Mingming. Resilient asynchronous rendezvous of second-order agents under communication noise. 2020 xxx. http://hdl.handle.net/2078.1/238535

10. Feng,Shuai; Shi,Ming; Ishii,Hideaki. Quantized State Feedback Stabilization of Nonlinear Systems Under DoS. 2020 xxx. http://hdl.handle.net/2078.1/238534