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Bachelor's and Master's Theses

In the following table you find the current and finished bachelor's and master's theses.

Current Theses
Name
Topic
Type
Julian Goede
An overview of the learned primal-dual algorithm for inverse problems in computer tomography
Master
Andreas Kapetanis
A stable continuous representation of convolutional neural networks
Bachelor
Paul Wimmer
Compressed Sensing in unendlichdimensionalen Hilberträumen
Master
2019: Finished Theses
Name
Title
Type
Michael Bodnar
Stabile Rekonstruktion der Steifigkeit in MR-Elastografie unter Rauschen
Bachelor
Jasmin Breitenstein
Shearlet Regularization and Deep Learning for Electron Tomography
Master
Lukas Emminger
High-Dimensional Signal Estimation From Distributed Non-Linear Measurements
Master
Pierluigi Ferrari
A Critical Analysis of Stability Considerations in Deep Learning Using Differential Equations
Bachelor
Hendrik Petersen
Recovery of Sparse and Low-Rank Matrices via Alternating Lasso Iterations
Master
Christian Schröck
Inpainting by Plug-and-Playing Different Denoisers
Bachelor
Janina Schütte
Discovering governing equations from limited data
Bachelor
Zhongdi Xu
Generalisationsfehler von Pirnciple Components Analysis
Bachelor
2018: Finished Theses
Name
Title
Type
Lukas Andersson
Compressed Sensing mit endlichen Alphabeten unter konvexen und nicht-konvexen Nebenbedingungen
Bachelor
Sebastian Bahr
Zerlegung von Bildern mittels Shearlets und weiterer Darstellungssysteme
Bachelor
Leif Bonorden
The Golfing Scheme
Master
Sabrina Dill
Joint Feature Learning and Classification - Deep Learning for Surgical Phase Detection
Master
Katharina Eller
Function Approximation with Neural Networks under the Restriction of Bounded Weights
Bachelor
Roman Fuenning
Joint PET-MRI Reconstruction using different regularizers
Master
Moritz Geist
A comparative analysis of machine learning methods for solving the Schrödinger Equation
Bachelor
Leon Gerard
Solving Linear Inverse Problems using Generative Aversarial Networks
Bachelor
Ingo Gühring
Error bounds for approximations with deep ReLU neural networks in general norms
Master
Philipp Haarmeyer
Alpha Molecules and Wave Atoms
Master
Cosmas Heiß
Frequency Domain Representation of Convolutional Neural Networks – Computational Advantages and Theory
Bachelor
Kaan Kocaslan
A representer theorem for deep neural networks
Bachelor
Robert Lauenroth
Die Undezimierte Wavelettransformation
Bachelor
Qiao Luo
Optimale Approximation neuronaler Netze und nicht-affine Systeme
Master
Duc Anh Nguyen
Super-Resolution with TV-Minimization
Bachelor
Azad Tasan
Generative Model priors in Compressed Sensing: Isometry Conditions and Gradient Descent
Bachelor
Maximilian Würschmidt
Concentration Inequalities for Sums of Random Matrices and Compressed Sensing
Bachelor
Luca Wulf
Approximation Properties of Neural Networks
Bachelor
Malte Wust
Denoising mit Shearlets auf der Sphäre
Bachelor
2017: Finished Theses
Name
Title
Type
Judith Boehlert
Dynamic Imaging Using Hybrid Systems
Master
Mark Cheng
Scattering-Transform: theory and application
Bachelor
Luis Dreisbach
Stabilität und Robustheit von Decodern in hoch-dimensionalen linearen inversen Problemen
Bachelor
Henrik
Eisenmann
Dualizable Shearlet Frames in 3D
Bachelor
Ansgar Freyer
The high-dimensional geometry and statistics of structured signal recovery
Bachelor
Julian Goede
Analyse von konvexen Verlustfunktionen für Signalrekonstruktion aus nichtlinearen Messungen
Bachelor
Alexandra Grigoreva
A sufficient condition for the frame property of Alpha-molecule systems
Bachelor
Ingo Gühring
Eigenvalues in gaps of G-selfadjoint operators in Almost Pontryagin spaces
Bachelor
Jannik Ifland
Convex and Non-Convex Recovery Approaches for Single-Index Models
Bachelor
Christopher Keller
Grassmansche Frames und ihre Anwendung on Compressed Sensing
Bachelor
Maximilian Leitheiser
Geometric Multi-Resolution Analysis

(in Kooperation mit Prof. Dr. Maggioni, Duke University, USA)
Bachelor
Héctor Andrade Loarca
Fast Sparse Light Field Reconstruction with Shearlet-Based Inpainting
Master
Jan Macdonald
Image Classification With Wavelet And Shearlet Based Scattering Transforms 
Master
Moritz Morgenroth
A Probabilistic Compressed Sensing Approach to Topology Discovery in Wireless Networks
Bachelor
Matthias Möser
Dynamic Sampling
Bachelor
Virginia Olck
Compressed Sensing and Geometry of High-Dimensional Spaces
Diplom
Mones
Raslan
Construction and Analysis of Shearlet 
Frames for Sobolev Spaces
Master
Lukas Richter
The lifting property
for classical function spaces
Bachelor
Matthias Treder
Beamforming of broadband signals using Fourier and wavelet transformations
Bachelor
Simon Wiedemann
Rate-Distortion Optimization of Deep Neural Networks

(in cooperation with Dr. Wojciech Samek, Fraunhofer Heinrich-Hertz Institut)
Master
2016: Finished Theses
Name
Title
Type
Benjamin Beck
Segmentierung von Bildern mittels Shearlets mit kompaktem Träger
Bachelor 
Thorsten Becker
Resolution of the Wavefront Set Using Shearlets as Continuous Parabolic Molecules
Bachelor
Jasmin Breitenstein
Multiscale Systems based on Time-Frequency Localization From Fourier to Wave Atoms
Bachelor
Mandy Domke
Segmentierung in 2D-Röntgenbilder
(in cooperation with Siemens)
Bachelor
Richard Duong
Störung der Polarzerlegung linearer Operatoren
Bachelor
Roman Fünning
Nichtorthogonale Fusion Frames
Bachelor
Daniel Gebauer
Group-Sparsity in Compressed Sensing with Dictionaries
Master
Michael Gubik
Numerical Analysis of Edge Classification using Shearlets
Bachelor
Lara Hoffmann
Skalierbarkeitsmaße und ihre Implementierung
Bachelor
Fabian Jaensch
Stability of Phase Retrieval
Bachelor
Maximillian März
Compressed Sensing using Block Sampling Strategies and the Analysis Formulation
Master
Leon Sallandt
Compressed Sensing und Frames
Bachelor
Vincent Schicktanz
Projections and Phase Retrieval

(in cooperation with Prof. Dr. Wang, Hong Kong University of Science and Technology, Hong Kong)
Master
Ekkehard Schnoor
The Restricted Isometry Property and the Johnson-Lindenstrauss Lemma

(in cooperation with Prof. Dr. Vybiral, Charles University, Czech Republic)
Master
Pola Schwöbel
Inpainting via Universal Shearlet Systems - an Experimental and Theoretical Analysis
Bachelor
Tom Szollmann
Phase Transitions in Compressed Sensing with Convex Minimization
Bachelor
Laura Terhaar
Sampling with binary measurements - On Reconstructions from Walsh coefficients

(in cooperation with Prof. Dr. Hansen, University of Cambridge, UK)
Master
Nikolas Wrobel
Continuous Alpha-Curvelets and Associated Coortbit Spaces
Bachelor
2015: Finished Theses
Name
Title
Type
Jens Ahlbrecht
Frame bounds of n-dimensional Shearlets

(in cooperation with Prof. Dr. Mo, Zhejiang University, China)
Master
Judith Böhlert
Video Segmentation Using Compressed Sensing and Shearlets
Bachelor
Lukas Emminger
Invariante Scattering Repräsentationen - Ein mathematischer Zugang zu Convolution Networks
Bachelor
Julian Fagir
Compressed Sensing in Synthetic Aperture Radar
Master
Axel Flinth
Discrete Compressed Sensing and Geometry

1. Prize Best Master Degree awarded at Dies Mathematicus
Master
Martin Genzel
Sparse Proteomics Analysis - Toward a Mathematical Foundation of Feature Selection and Disease Classification

2. Prize Best Master Degree awarded at Dies Mathematicus
Master
Johannes Guzy
Multidimensionales Shearlet-basiertes Inpainting mittels l_1-Minimization
Master
Nick Joneleit
Die Synchrosqueezed Shearlet-Transformation
Master
Sandra Keiper
Analysis of Generalized High-Dimensional Ridge Functions

(in cooperation with Prof. Dr. Daubechies, Duke University, USA)
Master
Qiao Luo
Mobile Sampling unter Optimierung der Pfaddichte
Bachelor
Niklas Menzel
Data separation on k-regular graphs
Master
Hendrik Petersen
Lösung des Kadison-Singer Problems mit gemischt charakteristischen Polynomen
Bachelor
Mones Raslan
Ridgelets and linear Transport Equations

3. Prize Best Bachelor Degree awarded at Dies Mathematicus
Bachelor
Leili Riazy
Klassifizierung kardialer MRT-Daten zur Bestimmung der Viabilität des Herzmuskelgewebes
Master
Michael Röse
Dualizable Shearlet Frames and Compressed Sensing for Dynamic MRI
Master
Klara Schmitt
Vergleich von zwei 'phase retrieval'-Algorithmen 
Bachelor
David Schultz
Separation of Audio Signals via Compressed Sensing
Master
Dmitry Sermyagin
Subspace Segmentation. Applications in Image Processing
Bachelor
Svea Wilkending
Graphentheoretische Aspekte der Bildverarbeitung
Bachelor
2014: Finished Theses
Name
Title
Type
Daniel Gebauer
The application of shearlets in the 3D inverse scattering problem of acoustic waves
Bachelor
Lena Müller
The Cosparsity Analysis Model
Bachelor
Che Netzer
Skalierung von Fusion Frames
Master
Julian Reisch
Reconstruction without Phase - A frame-theoretic Approach
Bachelor
Rafael Reisenhofer
The Complex Shearlet Transform and Applications to Image Quality Assessment
Master
Jan Zawallich
Das Kadison-Singer Problem
Bachelor
2013: Finished Theses
Name
Title
Type
Hilde Ertl
Oberflächenanalyse mittels Shearlets
Bachelor
Axel Flinth
3D Parabolic Molecules

1. Prize Best Bachelor Degree awarded at Dies Mathematicus
Bachelor
Martin Genzel
Analysis von Inpainting mittels Hybrid-Shearlets und Clustered Sparsity

2. Prize Best Bachelor Degree awarded at Dies Mathematicus
Bachelor
Maxim Karatajew
Shearlet-basierter Kantenerkennungsalgorithmus
Diplom
Jackie Ma
Linear Stable Sampling Rate Results for Generalized Sampling in Connection with Multidimensional Representation Systems

(in cooperation with Prof. Dr. Hansen, University of Cambridge, UK)
Master
Che Netzer
Funktionalkalküle

Special Prize of the Jury awarded at Dies Mathematicus
Bachelor
Philipp Petersen
Applications of Shearlet Frames for a Sparsity Promoting Regularization of the Inverse Scattering Problem
Master
Leili Riazy
Reconstruction from Approximately Sparse and Underdetermined Fusion Frame Measurements
Bachelor
Torben Schröder
Coorbit-Raum-Theorie und Modulations-Räume
Bachelor
Laura Terhaar
Quilted Gabor frames eingeordnet in die Theorie von Fusion Frames

1. Prize Best Presentation awarded at Dies Mathematicus
Bachelor
2012: Finished Theses
Name
Title
Type
Sandra Keiper
A Flexible Shearlet Transform - Sparse Approximations and Dictionary Learning

1. Prize Best Bachelor Degree awarded at Dies Mathematicus
Bachelor
Danny Panknin
Compressed Sensing and Machine Learning
Bachelor

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