Projet NoMADS (Horizon 2020, appel à projets 2017)
Action : Staff Exchanges
Panel : Mathematics
Statut du projet : SIGNED

In NoMADS we focus on data processing and analysis techniques which can feature potentially very complex, nonlocal, relationships within the data. In this context, methodologies such as spectral clustering, graph partitioning, and convolutional neural networks have gained increasing attention in computer science and engineering within the last years, mainly from a combinatorial point of view. However, the use of nonlocal methods is often still restricted to academic pet projects. There is a large gap between the academic theories for nonlocal methods and their practical application to real-world problems. The reason these methods work so well in practice is far from fully understood. Our aim is to bring together a strong international group of researchers from mathematics (applied and computational analysis, statistics, and optimisation), computer vision, biomedical imaging, and remote sensing, to fill the current gaps between theory and applications of nonlocal methods. We will study discrete and continuous limits of nonlocal models by means of mathematical analysis and optimisation techniques, resulting in investigations on scale-independent properties of such methods, such as imposed smoothness of these models and their stability to noisy input data, as well as the development of resolution-independent, efficient and reliable computational techniques which scale well with the size of the input data. As an overarching applied theme we focus in particular on image data arising in biology and medicine, which offers a rich playground for structured data processing and has direct impact on society, as well as discrete point clouds, which represent an ambitious target for unstructured data processing. Our long-term vision is to discover fundamental mathematical principles for the characterisation of nonlocal operators, the development of new robust and efficient algorithms, and the implementation of those in high quality software products for real-world application.

Mots clés : nonlocal methods, spectral operator decomposition, finite weighted graphs, gamma convergence, efficient algorithms, data science, machine learning, biomedical imaging, point cloud processing

Participants :
- Technion – Israel Institute of Technology (Israël) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 36000.0 €
- Clk gmbh (Allemagne) — Partner, beneficiary, Organismes privés (hors enseignement), subvention : 0.0 €
- Université Côte d'Azur (France) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 63000.0 €
- École polytechnique (France) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 4500.0 €
- Université de Bordeaux (France) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 76500.0 €
- University of Nottingham (Royaume-Uni) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 45000.0 €
- Camelot Biomedical Systems (Italy) (Italie) — Partner, beneficiary, Organismes privés (hors enseignement), subvention : 27000.0 €
- Mediguide ltd (Israël) — Partner, beneficiary, Organismes privés (hors enseignement), subvention : 0.0 €
- Delft University of Technology (Pays-Bas) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 36000.0 €
- University of California System (Etats-Unis) — Partner, organization partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- Clinical science systems (Pays-Bas) — Partner, beneficiary, Organismes privés (hors enseignement), subvention : 0.0 €
- University of Erlangen-Nuremberg (Allemagne) — Coordinator, beneficiary, Enseignement supérieur ou secondaire, subvention : 166500.0 €
- University of Genoa (Italie) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 40500.0 €
- École nationale supérieure d'ingénieurs de Caen (France) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 54000.0 €
- University of Cambridge (Royaume-Uni) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 238500.0 €
- University of Lisbon (Portugal) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 54000.0 €
- University of Münster (Allemagne) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 94500.0 €
- Pompeu Fabra University (Espagne) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 22500.0 €
- Université Claude Bernard - Lyon 1 (France) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 31500.0 €
- Université de Caen Normandie (France) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 36000.0 €
- University of Twente (Pays-Bas) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 58500.0 €
- University of Manchester (Royaume-Uni) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 27000.0 €
- Politecnico di Milano (Italie) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 0.0 €
- Datexim (France) — Partner, beneficiary, Organismes privés (hors enseignement), subvention : 0.0 €
- Carnegie Mellon University (Etats-Unis) — Partner, organization partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- AstraZeneca (United Kingdom) (Royaume-Uni) — Partner, beneficiary, Organismes privés (hors enseignement), subvention : 0.0 €
- MathWorks (United Kingdom) (Royaume-Uni) — Partner, beneficiary, Organismes privés (hors enseignement), subvention : 0.0 €