Mathematical Optimization for Data Science Group, Saarland University

Welcome to the homepage of the

Mathematical Optimization for Data Science Group

Department of Mathematics and Computer Science, Saarland University, Germany

Teaching

Theses:

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.

Current Semester:

Summer Term 2024

Convex Analysis and Optimization

Continuous Optimization

Seminar on Machine Learning for Optimization (Learning to Optimize)

MOP Research Seminar

Previous Semesters from 2023:

Winter Term 2023

Introductory Event for ''Mathematics and Computer Science''

Non-smooth Analysis and Optimization in Data Science

MOP Research Seminar

Summer Term 2023

Convex Analysis and Optimization

Continuous Optimization

MOP Research Seminar

Previous Semesters at University of Tübingen 2020 - 2023:

Winter Term 2022/2023

Non-smooth Variational Analysis and Optimization

Seminar on Optimization for Data Science

MOP Research Seminar

Summer Term 2022

Mathematik 2 für Informatik

MOP Research Seminar

Winter Term 2021/2022

Convex Analysis and Optimization

Mathematik 1 für Informatik

MOP Research Seminar

Summer Term 2021

Mathematik 2 für Informatik

MOP Research Seminar

Winter Term 2020/2021

Mathematik 1 für Informatik

MOP Research Seminar

Previous Semesters at Saarland University 2017 - 2020:

Summer Term 2020

Continuous Optimization

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.

Previous Semesters at University of Freiburg 2016 - 2017:

Summer Term 2017:

Optimierung

Winter Term 2016/2017:

Convex Analysis and Optimization

Previous Semesters at Saarland University 2015 - 2016:

Summer Term 2016:

Advanced Variational Methods for Image Processing and Computer Vision

Winter Term 2015/2016:

Convex Analysis and Optimization

List of ongoing and finished theses:

Master Theses:

in progress:

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.