11-13.8.2014
Jyväskylä summer school |
2 ECTS |
Time: 11.-13.8.2014
Coordinators: Dr. Riikka Ahola (University of Oulu), and prof. Pasi Karjalainen (University of Eastern Finland)
Lecturer: Docent Aku Seppänen (University of Eastern Finland)
Lectures: 10 h lectures, home work, and exam
Credits: 2 ECTS
Passing: Obligatory attendance at lectures. There will be an exam at the end of the course.
Grading: Pass/fail
Prerequisites: The course is aimed at graduate students, but advanced undergraduate students with the appropriate background might find it suitable.
Abstract: Many estimation problems arising from e.g. engineering applications lead to ill-posed inverse problems. Inverse problems are characterized by the property that the solutions are sensitive to measurement noise and modeling errors. In this course, the Bayesian (statistical) approach to inverse problems is overviewed. The emphasis is on statistical modeling of uncertainties and in computational aspects of inverse problems. As example cases, we consider inverse problems related to tomographic imaging, especially electrical impedance tomography (EIT) where the internal 3D distribution of the conductivity within a body is imaged based on a set of electrical measurements from the surface of the body. Various applications of EIT to industrial and biomedical imaging and non-destructive material testing are considered.
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