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Mechanical &


               Aerospace Engineering








                                                                  method» to find an optimum between convergence speed (of the optimization
                     ENGINEERING CHALLENGE TERM                   algorithm) and the quality of the minimization of execution time and energy
                                                                  footprint (of the targeted HPC application).
               CORE COURSE : OPTIMISATION (2,5 ECTS)
               (MANDATORY)                                                      ACADEMIC TERM
               This course will explore various fundamental notions of both continuous and
               discrete optimisation. The following topics will be addressed and implemented :
               formulation of optimisation problems, existence conditions for global and local   ELECTIVE SERIES 2.4 (2,5 ECTS)
               minimizers, convexity, duality, Lagrange multipliers, first-order methods, linear
               programming, integer linear programming, branch and bound approaches,   • ARTIFICIAL INTELLIGENCE
               preliminary stochastic optimisation concepts.      What do web-based information retrieval, personal assistant development,
                                                                  autonomous driving or automatic planning have in common ? These are all
               CONCENTRATION (7,5 ECTS)                           complex real-world problems that artificial intelligence (AI) aims at solving
                                                                  by addressing them in rigorous methods. In this course, you will study the
               • HIGH PERFORMANCE SIMULATION FOR FOOTPRINT        fundamental principles that guide these applications and implement some of
                                                                  these systems. Specific topics include automated learning, research, gaming,
               REDUCTION                                          Markov decision processes, constraint satisfaction, graphic models and logic.
                                                                  The main objective of the course is to provide you with the framework to
      PARIS SACLAY  and Algorithms, and Optimisation Methods      philosophical aspects of AI will also be discussed.
               Concentration course : Parallel Computing Methods
                                                                  address new AI problems that you may encounter in the future. The ethical and
                                                                  ELECTIVE SERIES 2.5 (2,5 ECTS)
               Simulation today is at the heart of many design and optimisation approaches,
               to reduce the impact of the products created: reducing the carbon footprint,
                                                                  • MAINTENANCE AND INDUSTRY 4.0
               the sound footprint, etc. Such problems are often complex systems, whose
               simulation requires specific skills in high performance and large-scale
               simulations.
                                                                  involved in the implementation of a predictive maintenance approach.
               In this course, students will learn to develop models and simulations whichever   This course provides a solid culture on the concepts, methods and tools
                                                                  The objective of this course is to give future decision-makers the necessary
               the size of the problem, without sacrificing the accuracy of computations.  culture to design, model and recommend predictive maintenance strategies.
                                                                  Emphasis is placed on data-driven approaches and probabilistic or statistical
               Concentration projects (SELECT ONE)                models that apply to any industrial system. This background should allow
                                                                  effective interaction with engineers « business » very close to applications and
                  Project (1) : Shape optimisation and drag reduction in    « data scientist » in charge of data processing.
      SEMESTER BY COURSEWORK
                  aeronautics
                  In partnership with ONERA                       ELECTIVE SERIES 2.6 (2,5 ECTS) (SELECT ONE)
               Air traffic is steadily increasing each year, to the point that without improvements
               in  aircraft  performance  in  terms  of  energy  consumption,  the  share  of  air   • MULTIPHYSICS COUPLING SIMULATION WITH FINITE
               transport in greenhouse gas emissions may become unsustainable in the   ELEMENT METHODS
               future.                                            The aim of this class is to give theoretical and applied insights on multiphysics
               Aircraft consumption can be decreased by either increasing the engine   coupling simulations such as: thermomechanical, piezoelectric, vibro-acoustic,
               efficiency or by improving the aerodynamic design of the aircraft, e.g. reducing
               the aircraft weight. Computational tools have been widely used in aeronautics   magneto-mechanic.
               for a long time to help design and optimise systems. For example, the shape
               of the wing can be improved to reduce its drag or lift, or its inner structure   • NUCLEAR ENGINEERING
               can be lightened.                                  This course will present the operating principles of nuclear reactors and
                                                                  describe in detail all the stages of the fuel cycle. Students will be able to
                  Project (2) : Low cost optimisation of acoustic wave   appreciate the advantages and drawbacks of this low carbon source of
                  propagation code performance                    energy, from a technical perspective.
                  In partnership with INTEL
               Regardless of the type of application running on parallel machines in an HPC
               (high performance computing) environment, and regardless of their level of   INTENSIVE SEMINAR
               efficiency (in terms of performance or energy footprint), we can easily see
               that the impact of input parameters is generally not negligible. It is therefore
               necessary to choose optimization methods that do not consume too many   (SELECT ONE)
               experiments, and then to optimize their use to reduce the footprint of the
               targeted HPC code, without this pre-study consuming too many computing   HUMANITIES AND SOCIAL SCIENCES (2 ECTS)
               resources ! This amounts to «looking for the least expensive optimization  Students are offered a choice of Humanities and Social Sciences courses in
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