(MAS) EA 4037 - Centrale Paris

“
A pplied M athematics
and Systems
Mathématiques Appliquées aux Systèmes (MAS) EA 4037
RESEA RCH A REAS
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,
optimization and visualization of complex systems, whether they come from the industrial world,
life, markets or information and networks.
S i m u l at i o n , o p t i m i z at i o n a n d v i s u a l i z at i o n o f c o m p l e x s y s t e m s
Digital analysis for large systems and industrial design chains (automobile, aeronautic, road
traffic); equations with partial derivatives and model reductions, robust optimisation; decisional
visualization, synthesis of physically realistic images and virtual restoration.
M o d e l l i n g p l a n t g r o w t h (INRIA D i g i p l a n t e p r o j e ct t e a m )
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.
B u s i n e s s i n t e l l i g e n c e (SA P-B u s i n e s s O b j e ct s C h a i r )
Unified semantic of structured or unstructured data; business intelligence & visual analytics;
situational models.
M e d i ca l i m a g i n g a n d v i e w i n g b y c o m p u t e r (INRIA G a l e n p r o j e ct t e a m )
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.
Color restoration with
numerical models
Q u a n t i tat i v e f i n a n c e a n d e c o n o - p h y s i c s (BNP-P a r i s b a s C h a i r )
Modelling markets using high-frequency data; multi-varied subordination and correlations; calibration of stochastic
volatility; crisis statistics. Econo-physics, algorithmic trading, derivative products.
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P r o b a b i l i s t i c m o d e l l i n g a n d u n c e r ta i n t i e s (INRIA R e g u l a r i t y p r o j e ct t e a m )
Local regularity of stochastic processes; processes with prescribed regularity (multi-fractional, multistable or selfregulated). Applications for modelling risks, uncertainties in design and imaging.
B i o - m at h e m at i c s
Mathematical modelling of cellule behavior in vitro; experimental plans and DNA chips; epidemiology.
K EY FIGURES FOR 2010
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Faculty Researchers and Researchers: 22
A dministrative and Technical Staff: 12
Doctoral Students: 58
Postdocs: 11
R ank A Publications (Source: web of science): 28
Value of Research Contracts Signed: 1 375 000
CONTACT
www.mas.ecp.fr
Director: Frédéric Abergel
Tel: +33 (0)1 41 13 18 95
Fax: +33 (0)1 41 13 17 35
Email: [email protected]
Aca demic Pa rtners
INRIA, Supélec, CEA, ENS Cachan, INRA, CIRAD, Université Paris-Sud XI, Université Versailles Saint-Quentin, INT,
CHU Henri Mondor / AP-HP Pitié Salpêtrière, Université
Dauphine, LIAMA, Université de Montréal, ENSI Tunis.
€
(in addition to chairs)
10 • École Centrale Paris, Research Centre Report 2010
Industria l Pa rtners
BNP Paribas, SAP-BusinessObjects, Alcatel, Bionatics,
Bull, GDF-Suez, Institut Pasteur, CS-SI, Dassault Aviation,
EDF, ESI, France Télécom, KXEN, Laboratoires Servier,
Myosix, Renault, Siemens, Thales.
Competiveness Poles: Systematic, Finance Innovation,
Medicen, Cap Digital
Technopole TER@TEC
MAS R ese arch D epartment
A pplications
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).
SA MPLE PROJECT S
Scientific Engineering
T
and
V i s u a l i z at i o n
h e te c h n i q u e s or modelling, simulation and optimization have become essential tools for the analysis and design of products and systems.
In this context, this line of research is concerned with complex systems modelled
by equations with partial derivatives or dynamic systems with uncertainties, with
robust/multi-objective optimization techniques and control and with associated preand post-treated environments. Two key projects have been developed: Digiplante in
relation with INRIA, the CIRAD, AgroParisTech and the LIAMA in Beijing, based on
modelling the growth of plants from the genome to the countryside; and the major
CSDL (Complex System Design Lab) pluri-disciplinary project of the System@tic
Pole where the laboratory coordinates the approaches to modelling, determinist or
probabilistic simulation and advanced decisional visualization to efficiently explore
vast areas of design.
I n f o r m at i o n P r o c e s s i n g – D ata
and
source CSDL : Simulations for the design
of an air-conditioning system in an aircraft
cabin
Images
T
he processing of information (data, images, biological) with new mathematical tools is one of the major scientific challenges. In collaboration with hospitals
(SHFJ, Henri Mondor, Saint Louis) and industrial partners (Siemens, Myosis/Genzyme), the Galen and MA∫BIO teams aim to develop mathematical models which
allow exploitation and interpretation of biological and medical data. Two other areas
are also the subject of two important projects - one is quantitative finance using very
innovative techniques in econophysics on very high frequency data in the framework
of an industrial Chair with BNP Parisbas; the other, in collaboration with INRIA and
Supélec, is the detailed modelling of the probabilistic regularity and consideration
of uncertainties in the models.
source GALEN : Comparison of techniques
on cerebral images
I n f o r m at i o n S y s t e m s A r c h i t e ct u r e
I
n the face of very fast technological developments and the progress in the field of software,
information systems have seen major developments in terms of architectures and operating
modes.
This theme, in the field of Business Intelligence and in the framework of a Chair with SAPBusinessObjects, concerns new architectures for the cluster-grill or cloud-computing, architectures and treatment of large masses of information, notably multimedia, and also formal
engineering approaches to complex systems. The laboratory is involved in a number of European
initiatives, particularly the EGEE, BEINGRID and PEGASE, and is expanding on HPC parallel
architectures (e.g. the Open GPU project).
source Regularity :
Empiric regularity on
mountain contours and
simulation of the process
with prescribed regularity
source HPC Team : Parallel calculation of
large acoustic models of noise in Tokyo
source MASDOM : Representation of fuzzy spatial
reasoning on patterns in
medical images
École Centrale Paris, Research Centre Report 2010 • 11