Fakultät für Mathematik und Informatik (inkl. GAUSS): Recent submissions
Now showing items 21-40 of 546
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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 ... -
Towards Personalized Cardiac Modeling of Failing Heart with Engineered Heart Muscle
(2024-05-28)This dissertation investigates the biomechanics of the left ventricle across multiple geometric levels toward personalized cardiac modeling with engineered heart muscle. Firstly, a physics-based model for the EDPVR and ... -
Entwicklung einer Bewertungsmetrik für klinische Entscheidungsunterstützungssysteme (CDSS) in der Kardiologie
(2024-05-17)The topic of clinical decision support systems (CDSS) is currently in a phase of transition in which the multi-layered and comprehensive development approaches from the thematic his-tory are increasingly being used in both ... -
Reduction of Lie and Courant Algebroids and Application to Double Vector Bundles
(2024-05-17)In this thesis we evaluate the reduction procedure of Poisson manifolds and apply it to structures closely related to them such as Lie (bi-)algebroids, Courant algebroids and Lie-Rinehart algebras. Moreover, we apply this ... -
All Ravens are Black—Formalisation and Computational Analysis of Generalising Statements in Natural Language
(2024-05-16)This interdisciplinary thesis reviews and refines the concepts of generalisation and generalising statements (e.g. all ravens are black) as a phenomenon of human cognition and language. The main parts of the thesis target ... -
Development of Advanced Generative Priors for MRI Reconstruction
(2024-05-02)This thesis investigates generative models for parallel compressed magnetic resonance imaging (MRI) reconstruction. The challenges of compressed MRI reconstruction using deep learning are identified, including model ... -
Statistical Optimal Transport and its Entropic Regularization: Compared and Contrasted
(2024-04-26)In recent years, statistical methodology based on optimal transport witnessed a considerable increase in practical and theoretical interest. A central reason for this trend is the ability of optimal transport to compare ... -
Controlling Data Streams of IoT Devices in Smart Homes from a User Perspective
(2024-04-16)Increasingly, humans are surrounded by intelligent devices, such as smart devices, in the Internet of Things (IoT) context. These smart devices are used in various environments, such as smart environments as well as homes. ... -
Generalizations of Quandles to Multi-Linkoids
(2024-04-10)In this thesis, we define the fundamental quandle of knotoids and linkoids and prove that it is invariant under the under forbidden-move and hence encodes only the information of the underclosure of the knotoid. We ... -
Invariants of Kähler manifolds and Generalized Seiberg-Witten Equations
(2024-03-06)The thesis explores the generalized Seiberg-Witten equations, a gauge theoretic differential equation arising in physics by coupling a non-linear spinor to a connection. The study involves an analysis of the solution space ... -
The Spectra on Lie Groups and Its Application to twisted L2-Invariants
(2024-02-29)We computed spectra of various $G$-invariant differential operators on the universal cover of 2x2 unimodular groups. This was achieved by applying tools from harmonic analysis/representation theory to corresponding groups. ... -
Elliptic curves, modular forms, and the associated exponential sums
(2024-02-27)This thesis focuses on the various arithmetic aspects of elliptic curves and modular forms. Employing the exponential sum estimates obtained from sum-product estimates for finite fields, we estimate exponential sums linked ... -
Narrative Echoes across Time and Space
(2024-02-16)Originating in mythological research, the Hylistic theory introduces hylemes as a basic plot unit, containing actions, states, or background information derived from a source. These statements are organized in hyleme ... -
Matching Patterns with Variables in Approximate Settings
(2024-02-12)In the literature dealing with patterns with variables, a word, also called string, is a sequence of terminal letters, while a pattern is a sequence of terminal and variable letters. The problem of deciding if there is a ... -
An Integration Theorem for Representations of the Tangent Algebroid
(2024-02-09)This dissertation investigates representations of Lie groupoids and Lie algebroids and the connection between them. Lie groupoids and Lie algebroids are differential-geometric generalisations of Lie groups and Lie ... -
Toward Trustworthiness of Deep Learning Models for 12-Lead ECGs
(2024-01-31)A 12-lead electrocardiogram (ECG), a common examination tool in cardiology, represents the electrical activity of the heart as waveforms. Predictions and classifications with deep learning (DL) algorithms show great potential ... -
A Multi-Layered Identity and Access Management Solution for Establishment of Scalable Federated Identity
(2023-12-22)Federated identity management (FIM) systems are defined as a group of organizations (entities) that have agreed to establish trust relationships and share identity information to enable seamless access to resources across ... -
Adaptive numerical methods for optimal and branched transport problems
(2023-11-20)Optimal transport is an area of mathematical research that has been gaining popularity in recent years in various application fields such as economics, statistics or machine learning. Two important factors behind its ... -
Improving the analysis of aeroacoustic measurements through machine learning
(2023-11-20)This thesis focuses on improving the analysis of aeroacoustic imaging methods using automated data processing and machine learning. Imaging methods result in beamforming maps that are challenging to explore manually since ...