| Inverse Problems [2024 SoSe] | ||
|---|---|---|
| Code IIP |
Name Inverse Problems |
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| LP 8 |
Dauer one semester |
Angebotsturnus every summer semester |
| Format Lecture 2 SWS + Exercise course 2 SWS + Homework |
Arbeitsaufwand 240 h; thereof 60 h lectures and tutorials 15 h exam preparations 165 h self-study and exercises / homework |
Verwendbarkeit M.Sc. Angewandte Informatik M.Sc. Data and Computer Science |
| Sprache English |
Lehrende Jürgen Hesser |
Prüfungsschema |
| Lernziele | Students understand the mathematical properties of inverse problems and are able to demonstrate and show why these problems are difficult to solve. They will learn principles of how to solve both deterministic and stochastic problems, they are able to identify problem settings which request specific deterministic or stochastic approaches and the regularization methods therein. They are able to select an appropriate regularization parameter strategy and understand their differences in particular. They also understand how to formulate and apply compressed sensing and deep learning for inverse problems. All principles are presented in selected areas in parameter estimation. Students will gain the competence in solving complex problems that cannot be dealt with classical techniques and they will be able to adequately evaluate complex experimental measurements. | |
| Lerninhalte | Definition of ill-posedness Deterministic inverse problems, regularization techniques Tikhonov regularization, data and model resolution matrix, pseudo-inverses Stochastic inverse problems and Bayes theorem Regularization parameter selection Compressed sensing Deep Learning for Inverse Problems |
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| Teilnahme- voraus- setzungen |
recommended are: Einführung in die Praktische Informatik (IPI), Programmierkurs (IPK), Algorithmen und Datenstrukturen (IAD), Numerische Mathematik | |
| Vergabe der LP und Modulendnote | The module is completed with a graded written examination. The final grade of the module is determined by the grade of the examination. The requirements for the assignment of credits follows the regulations in section modalities for examinations. | |
| Nützliche Literatur | M. Bertero, P. Boccacci: Introduction to Inverse Problems in Imaging, IoP, 2002 web-Page and book: http://www.slaney.org/pct/pct-toc.html |
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