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Theses:
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Bachelor's thesis, Master's thesis or Staatsexamen:
If you are interested in writing your theses in the area of mathematical
optimization or related topics, please contact
Peter Ochs
by eMail (German or English). In the eMail, please mention your interests and
list the relevant courses that you have taken.
Possible topics include, but are not limited to, the following ones:
theoretical or practical relations between optimization algorithms for smooth,
non-smooth, convex, or non-convex optimization problems; applications of
continuous optimization algorithms in computer vision, machine learning,
image processing/analysis, or other linear or non-linear inverse problems;
non-smooth analysis; convex analysis; bilevel optimization; parameter
optimization; and many more.
List of ongoing and finished theses.
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Current Semester:
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Winter Term 2024
Non-smooth Analysis and Optimization in Data Science
Seminar on Computational Optimal Transport
MOP Research Seminar
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Forthcoming Semesters:
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Summer Term 2025
Machine Learning
Convex Analysis and Optimization
MOP Research Seminar
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Previous Semesters from 2023:
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Summer Term 2024
Convex Analysis and Optimization
Continuous Optimization
Seminar on Machine Learning for Optimization (Learning to Optimize)
MOP Research Seminar
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Winter Term 2023
Introductory Event for ''Mathematics and Computer Science''
Non-smooth Analysis and Optimization in Data Science
MOP Research Seminar
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Summer Term 2023
Convex Analysis and Optimization
Continuous Optimization
MOP Research Seminar
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Previous Semesters at University of Tübingen 2020 - 2023:
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Winter Term 2022/2023
Non-smooth Variational Analysis and Optimization
Seminar on Optimization for Data Science
MOP Research Seminar
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Summer Term 2022
Mathematik 2 für Informatik
MOP Research Seminar
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Winter Term 2021/2022
Convex Analysis and Optimization
Mathematik 1 für Informatik
MOP Research Seminar
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Summer Term 2021
Mathematik 2 für Informatik
MOP Research Seminar
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Winter Term 2020/2021
Mathematik 1 für Informatik
MOP Research Seminar
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Previous Semesters at Saarland University 2017 - 2020:
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Summer Term 2020
Continuous Optimization
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Winter Term 2019/2020
Convex Analysis and Optimization
Machine Learning
Summer Term 2019
Numerical Methods for ODEs (before: Numerics 2)
Seminar on Optimization for Machine Learning
Winter Term 2018/2019
Convex Analysis and Optimization
Summer Term 2018:
Continuous Optimization
Winter Term 2017/2018:
No Teaching.
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Previous Semesters at University of Freiburg 2016 - 2017:
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Summer Term 2017:
Optimierung
Winter Term 2016/2017:
Convex Analysis and Optimization
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Previous Semesters at Saarland University 2015 - 2016:
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Summer Term 2016:
Advanced Variational Methods for Image Processing and Computer Vision
Winter Term 2015/2016:
Convex Analysis and Optimization
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List of ongoing and finished theses:
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Master Theses:
completed:
- Nils Müller: Optimization of Sums of Bivariate Functions, 2024.
- Yassir Janah: Theoretical Analysis of the Bayesian Learning Rule, 2024.
Master Theses (at University of Tübingen):
- Severin Maier: Accelerated Continuous Optimization Dynamics with Lyapunov Function damping, 2023.
- Gabriel Müller: Finitely Parametrized Continuous Images and their Regularization, 2023.
- Michael Sucker: Data Adaptive Acceleration of First Order Algorithms, 2022.
- Hafsa Kaleli: Penalty based Approaches for Bi-level Optimization, 2021.
Bachelor Theses (at University of Tübingen):
- Lorenz Mammen: Optimization-based Volume Reconstruction for Light Field Microscopy Imaging, 2023.
- Milan Bacchetta: Local Linear Convergence of Forward-Backward Splitting und Partial Smoothness, 2022.
- Armin Beck: Accelerated Proximal Quasi-Newton Methods, 2022.
- Nadia Vohwinkel: Entropic Approximation of Wasserstein Barycenters, 2021.
Master Theses (at Saarland University before 2020):
- Anu Goel: Convergence of Inertial Descent Methods, 2021.
- Ishwar Mudraje: Learning Variational ISTA, 2020.
- Andrei Sirazitdinov: Inpainting with Local Binary Constraints, 2019.
- Sheheryar Mehmood: Differentiation of Fixed-Point Iterations for Bi-level Optimization, 2019.
- Jón Arnar Tómasson: Finding Optimal Smoothness Operators for Inpainting with Bilevel Optimization, 2017.
- Timo Florian Adam: Optical Analysis of High Pressure Diesel Sprays Using Image Segmentation Methods, 2016.
- Hanan Abou Hamdan: Coupling Models for Image Denoising, 2016.
- Lilli Kaufhold: Cell Tracking in 3D-Videos, 2016.
Master Theses (at University of Freiburg):
- T. Rinklin: Motion Segmentation with Track Repair, 2014.
Master- and Team Projects (at University of Freiburg):
- L. Striet: Gradient Descent on a Modified Objective, 2017.
- N. Holland: Optimally Parametrized Regularization for Image Segmentation, 2015.
- T. Rinklin: Continuation of Point Trajectories Through Occlusions, 2014
- A. Alfaro: Hierarchical (multi level) Diffusion-based Interpolation on the GPU, 2012.
- A. Alfaro: Hierarchical (single level) Diffusion-based Interpolation on the GPU, 2011.
Bachelor Theses (at University of Freiburg):
- R. Smolik: Segmentierung von Graphen mithilfe von primal-dualen Algorithmen auf der GPU, 2015.
- G.-E. Nandzik: Optimizing the Interpolation Points for Linear Diffusion Based Image Compression Using Bilevel Optimizat ion, 2015.
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