University of Liege | Version française
Study programmes 2008-2009Last update : 29/06/2009
ELEN0061-2  Introduction to Stochastic Processes
Duration :  15h Th, 15h Pr
Credits/ECTS :  
Bachelor in engineering sciences, civil engineer orientation (Bachelor in engineering sciences, civil engineer orientation), 3rd yearDeuxième quadrimestre2
Bachelor in engineering sciences, civil engineer orientation (Bachelor in engineering sciences, civil engineer orientation), 3rd yearToute l'année2
Master in Bio-informatics and Modelling, Research focus, 2nd yearDeuxième quadrimestre3
Holder(s) :  Louis Wehenkel
Language :  Langue française
Course contents :  Stochastic processes allow to model system which behaviour is only partially predictable. Their theory is based on the probability calculus and statistics. They have multitudinous applications: various questions in telecommunications, signal processing and adaptive control, and filtering. The objective of this cours is to introduce the basic concepts used for studying such systems, by calling for examples from engineering.

The course is composed of three main parts.
1. Markov chains and hidden markov chains.
2. Vectors of Gaussian random variables and estimation theory.
3. The Kalman filter (linear systems, gaussian noise processes)
Course objective :  The students will be able to model and analyse stochastic systems by using graphical models and inference algorithms.
Prerequisites :  Elements of probability calculus, linear algebra and linear dynamic systems.
Workshops :  Exercise sessions.
Organization :  Tuesday AM (10:30-12:30), second semester.
Room R7 - Institut Montefiore
Written notes :  http://www.montefiore.ulg.ac.be/~lwh/ProcStoch/
Assessment :  Written exam in June.
Contacts :  L.Wehenkel@ulg.ac.be


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