Applied Mathematics and Systems (MAS) - EA 4037

Research fields

Created in the early 2000's, MAS brings together the School's research in Mathematics and Computing. At the heart of digital technologies, its themes cover modelling, simulation, analysis, optimisation and visualisation of complex systems, whether they come from the industrial world, life, markets or information and networks.

• Simulation, Optimisation and Visualisation of Complex Systems
  Digital analysis for large systems and industrial design chains (automobile, aeronautic, road traffic); equations with partial derivatives and model reductions, robust optimisation; decisional visualisation, synthesis of physically realistic images and virtual restoration.
• Modelling Plant Growth (INRIA Digiplante project team)
  Modelling and estimation of the dynamic system of plants in their environment; formal grammars and identification by symbolic method; optimal control of cultures and genetic improvement; multi-physical and multi-scale simulation of landscapes.
• High Performance Computing
  New algorithms for large problems and deployment on massively-parallel machines; calculation grids; GPU; cloud computing. Formal computing and knowledge modelling. Formal engineering for complex systems; ontolgies, decisional and fuzzy logic for image interpretation.
• Business Intelligence (SAP-BusinessObjects Chair)
  Unified semantic of structured or unstructured data; business intelligence & visual analytics; situational models.
• Medical Imaging and Computer Vision (INRIA Galen project team)
  Treatment of biological and medical images and data using fusion techniques based on discrete optimisation, segmentation by wavelets. 3D reconstruction of images by shape grammars.
• Quantitative Finance and Econo-physics (BNP-Parisbas Chair)
  Modelling markets using high-frequency data; multi-varied subordination and correlations; calibration of stochastic volatility; crisis statistics. Econo-physics, algorithmic trading, derivative products.
• Probabilistic Modelling and Uncertainties (INRIA Regularity project team)
  Local regularity of stochastic processes; processes with prescribed regularity (multi-fractional, multistable or selfregulated). Applications for modelling risks, uncertainties in design and imaging.
• Bio-Mathematics
  Mathematical modelling of cellule behaviour in vitro; experimental plans and ADN chips; epidemiology.

Applications

• Industrial Systems (aeronautics, energy, transport); environment (plants hydrology, landscapes, acoustics and noise); health (medical imaging, molecular biology, genomics, epidemiology); markets and companies (finance, business intelligence); information and networks (internet, multimedia, knowledge management); art and architecture (colorimetry, reconstruction, architectural and virtual reality).