Estimation and optimization of the performance of complex systems
(Stochastic Algorithms)
This course is intended for general engineers and will provide:
- An understanding of the principles of stochastic algorithm methods (eg Monte Carlo, particulate, etc.)
- A choice of methods best suited to the problem of estimation or optimization being considered
- Techniques to put into practice for realistic applications
The course lasts 4 days (24 hours) and includes:
- 12 hours of theory-based learning with applications and examples
- 12 hours of PC-based application enabling learners to put into practice the methods taught for aerospace test cases
The usual estimation or optimization techniques are very quickly surpassed for complex and/or large-scale engineering problems such as the design of space launchers, the estimation of aircraft reliability or the optimization of the positioning of sensor networks.
Stochastic Monte-Carlo algorithms, inspired by games of chance, offer an efficient alternative for estimating and optimizing random parameters or calculating integrals efficiently. The development of these algorithms is currently fast-growing and many variants are available.
This course therefore offers an algorithmic and applicative overview of stochastic techniques and particle simulation methods. A day of training includes a morning course to present the different algorithms and an afternoon of practical PC-based work to implement and test these techniques on concrete problems from the aeronautics and space sectors.
Course level: Basic/Advanced
Engineering-level or equivalent training required.
Statistical knowledge is reviewed quickly at the beginning of the course.
Basic knowledge of Matlab and Python is required.
Jérôme MORIO:
Senior Research Fellow at ONERA (Department of Information Processing and Systems).
(In connection with aeronautical and space applications)
- Summary of probability and statistics
- Classic Monte Carlo method
- Variance reduction methods
- Bootstrap technique
- Summary of Markov chains
- Markov Chain Monte Carlo Methods (MCMC)
- Multi-level simulation (subset simulation)
- Sequential Monte Carlo methods
- Particulate filtering (Kalman, SIS, SISR, etc.)
- Summary of optimization
- Simulated annealing, genetic algorithms, particle swarm optimization
- Probability law restart algorithms (CMA-ES, cross entropy)
- Stress management, multi-objective optimization
Scheduled in French:
TOULOUSE: 27 to 30 September 2021
For the English realization, please, consult us.