Rima Alaifari: Catalogue data in Spring Semester 2023

Name Prof. Dr. Rima Alaifari
FieldApplied Mathematics
Address
Seminar für Angewandte Mathematik
ETH Zürich, HG G 59.2
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 632 32 00
E-mailrima.alaifari@sam.math.ethz.ch
URLhttp://www.sam.math.ethz.ch/~rimaa
DepartmentMathematics
RelationshipAssistant Professor

NumberTitleECTSHoursLecturers
401-4652-DRLInverse Problems Restricted registration - show details
Only for ETH D-MATH doctoral students and for doctoral students from the Institute of Mathematics at UZH. The latter need to send an email to Jessica Bolsinger (info@zgsm.ch) with the course number. The email should have the subject „Graduate course registration (ETH)“.
1 credit2GR. Alaifari
AbstractInverse problems arise in many applications in science & engineering. Typically, a physical model describes a forward problem and the task is to reconstruct from measurements, i.e. to perform inversion. In ill-posed problems, these inversions are troublesome as the inverse lacks e.g. stability. Regularization theory studies the controlled extraction of information from such systems.
Learning objectiveThe goal of this course is to give an understanding of ill-posedness and how it arises and to introduce the theory of regularization, which gives a mathematical framework to handle these delicate systems.
ContentLinear inverse problems, compact operators and singular value decompositions, regularization of linear inverse problems, regularization penalties, regularization parameters and parameter choice rules, iterative regularization schemes and stopping criteria, non-linear inverse problems.
Lecture notesThe lecture notes will be made available during the semester.
LiteratureEngl, H. W., Hanke, M., & Neubauer, A. (1996). Regularization of inverse problems (Vol. 375). Springer Science & Business Media.
Prerequisites / NoticeAnalysis, linear algebra, numerical analysis, ideal but not necessary: functional analysis
CompetenciesCompetencies
Subject-specific CompetenciesConcepts and Theoriesassessed
Techniques and Technologiesassessed
Method-specific CompetenciesAnalytical Competenciesassessed
Problem-solvingassessed
Personal CompetenciesCreative Thinkingfostered
Critical Thinkingassessed
401-4652-23LInverse Problems4 credits2GR. Alaifari
AbstractInverse problems arise in many applications in science & engineering. Typically, a physical model describes a forward problem and the task is to reconstruct from measurements, i.e. to perform inversion. In ill-posed problems, these inversions are troublesome as the inverse lacks e.g. stability. Regularization theory studies the controlled extraction of information from such systems.
Learning objectiveThe goal of this course is to give an understanding of ill-posedness and how it arises and to introduce the theory of regularization, which gives a mathematical framework to handle these delicate systems.
ContentLinear inverse problems, compact operators and singular value decompositions, regularization of linear inverse problems, regularization penalties, regularization parameters and parameter choice rules, iterative regularization schemes and stopping criteria, non-linear inverse problems.
Lecture notesThe lecture notes will be made available during the semester.
LiteratureEngl, H. W., Hanke, M., & Neubauer, A. (1996). Regularization of inverse problems (Vol. 375). Springer Science & Business Media.
Prerequisites / NoticeAnalysis, linear algebra, numerical analysis, ideal but not necessary: functional analysis
CompetenciesCompetencies
Subject-specific CompetenciesConcepts and Theoriesassessed
Techniques and Technologiesassessed
Method-specific CompetenciesAnalytical Competenciesassessed
Problem-solvingassessed
Personal CompetenciesCreative Thinkingfostered
Critical Thinkingassessed
401-5650-00LZurich Colloquium in Applied and Computational Mathematics Information 0 credits1KR. Abgrall, R. Alaifari, H. Ammari, R. Hiptmair, S. Mishra, S. Sauter, C. Schwab
AbstractResearch colloquium
Learning objective