Fakultät für Mathematik und Informatik (inkl. GAUSS)
Recent Submissions
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Energy-based geometric regularization in three-dimensional inverse obstacle scattering
(2024-12-13)The classic "inverse obstacle scattering problem" in three-dimensions names the challenge of reconstructing 3D-objects from (noisy) far-fied measurements of scattered waves. Like any interesting inverse problem, this ... -
Aspects of Temporal Patient Similarity in Complex Diseases
(2024-12-09)When comparing patients with complex chronic diseases, such as cancer or Post COVID-19, in Real-World Data (RWD) it is crucial to consider not only their condition at the time point of analysis but also their disease ... -
C*-algebras of relatively proper groupoid correspondences
(2024-12-09)The objective of the work is to study C*-algebras associated to relatively proper groupoid correspondences, in particular exploring two constructions and proving that they are isomorphic. We also explore some properties ... -
Statistical Limit Laws for Graph Cuts and Efficient Surrogate Algorithms
(2024-12-05)Graph cuts are a powerful tool that has been used in many applications, from image segmentation and machine learning to network analysis and cluster identification, often in the form of a convex relaxation such as spectral ... -
Microlocal methods in quantum field theory
(2024-11-14)The renormalisation of Feynman diagrams is considered in the context of perturbative algebraic quantum field theory. The construction of Wick polynomials is related to the renormalisation of diagrams with short loops ... -
Privacy-Decision Assisting Techniques
(2024-11-12)In an era where digital communication and content sharing proliferate, managing and protecting users' privacy becomes increasingly challenging and crucial. This particularly intensifies with the fast-paced adoption of ... -
Computer Vision for Automated Robotic Device Disassembly: Object Detection, Pose Estimation, and Action Prediction
(2024-11-12)The growth in population and technology has led to an increased demand for electronic products, resulting in a higher volume of end-of-life devices. While recycling these products is critical for reducing environmental ... -
Development of tools to process and analyse precision oncology data in a clinical decision support framework for biomedical research projects in the scope of molecular tumour boards
(2024-11-12)The goal of precision medicine is to tailor treatments to the individual genetic profile of cancer patients, but it faces several challenges. These include the genetic complexity of tumours, the large volume of data generated ... -
Algorithms for Matching and Analysis Problems on Subsequences
(2024-10-14)The focus of this thesis is on the study of efficient algorithms and computational complexity results for matching and analysis problems on subsequences. The presented results comprise algorithmic solutions and lower ... -
Utilizing HPC Systems to Serve Compute-Intensive Tasks from a Data Lake Managing Sensitive Data
(2024-10-10)Data lakes have been proposed by James Dixon in 2010 to prevent information loss happening during the extract-transform-load process usually employed to ingest data into a data warehouse. Instead, he proposed a schema-on-read ... -
Exploring Stickiness in CAT(κ) Spaces
(2024-10-10)The Fréchet mean is a natural generalization of the expectation to probability distributions on arbitrary metric spaces. In recent years, several seemingly related phenomena were observed for certain distributions on ... -
Novel machine learning solutions for precision medicine - from causal inference to cellular perturbations and interactions
(2024-10-04)Optimal therapy of complex diseases necessitates a shift from one-size-fits-all solutions towards personalized treatment plans. To achieve this, it is crucial to understand the casual effect of medical interventions, such ... -
Higher Currents for the sine-Gordon Model in perturbative Algebraic Quantum Field Theory
(2024-09-19)The main results of this thesis are the establishment of the super-renormalizability by power counting and of the summability of an infinite number of (classically conserved) higher currents for the sine-Gordon model in ... -
On Combinatorial Properties of Subsequences
(2024-08-22)A word, also known as string, is a sequence of letters, while a subsequence of a word w is another word u which can be obtained by deleting some of the letters of w. Words in general, and subsequences in particular, play ... -
Mathematical Entity Linking Methods and Applications
(2024-08-15)Entity Linking (EL) is a vital component of Information Retrieval (IR) systems that extract abstract representations from text documents. As such, EL plays a crucial role in various applications such as semantic search, ... -
Analysis of Optical Coherence Tomography Images by Dictionary Learning Methods
(2024-07-17)An accurate analysis of Optical Coherence Tomography (OCT) images plays an important role in the diagnosis of abnormalities within these images. Unfortunately, noise caused by various sources degenerates the quality of the ... -
Divisors on K3 surfaces and Hilbert schemes
(2024-06-27)This thesis consists of three chapters. In the first chapter we study rational curves on K3 surfaces and show that on elliptic K3s there are rational curves whose arithmetic genus tends to infinity. In the second chapter ... -
Action understanding and prediction during inter-agent interaction
(2024-06-17)The utilisation of robotics has seen a significant rise over the years, particularly fuelled by the burgeoning advancements in deep learning and artificial intelligence research and development. Despite this progress, the ... -
Neural Networks for MRI Reconstruction
(2024-06-10)MRI is arguably the most versatile imaging modality for clinical use available today. In recent years, the development of advanced deep-learning-based reconstruction methods has significantly accelerated data acquisition ... -
Simulated Mental Imagery for Image Synthesis and its Application in Robotic Planning
(2024-06-05)The autonomy of robots is a prominent research focus in the field of robotics. A key aspect is endowing robots with the ability to accurately perceive the environment and to plan for specific tasks, which poses a considerable ...