Fakultät für Mathematik und Informatik (inkl. GAUSS): Recent submissions
Anzeige 120 von 531

On Combinatorial Properties of Subsequences
(20240822)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
(20240815)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
(20240717)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
(20240627)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 interagent interaction
(20240617)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
(20240610)MRI is arguably the most versatile imaging modality for clinical use available today. In recent years, the development of advanced deeplearningbased reconstruction methods has significantly accelerated data acquisition ... 
Simulated Mental Imagery for Image Synthesis and its Application in Robotic Planning
(20240605)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
(20240528)This dissertation investigates the biomechanics of the left ventricle across multiple geometric levels toward personalized cardiac modeling with engineered heart muscle. Firstly, a physicsbased model for the EDPVR and ... 
Entwicklung einer Bewertungsmetrik für klinische Entscheidungsunterstützungssysteme (CDSS) in der Kardiologie
(20240517)The topic of clinical decision support systems (CDSS) is currently in a phase of transition in which the multilayered and comprehensive development approaches from the thematic history are increasingly being used in both ... 
Reduction of Lie and Courant Algebroids and Application to Double Vector Bundles
(20240517)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 LieRinehart algebras. Moreover, we apply this ... 
All Ravens are Black—Formalisation and Computational Analysis of Generalising Statements in Natural Language
(20240516)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
(20240502)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
(20240426)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
(20240416)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 MultiLinkoids
(20240410)In this thesis, we define the fundamental quandle of knotoids and linkoids and prove that it is invariant under the under forbiddenmove and hence encodes only the information of the underclosure of the knotoid. We ... 
Invariants of Kähler manifolds and Generalized SeibergWitten Equations
(20240306)The thesis explores the generalized SeibergWitten equations, a gauge theoretic differential equation arising in physics by coupling a nonlinear spinor to a connection. The study involves an analysis of the solution space ... 
The Spectra on Lie Groups and Its Application to twisted L2Invariants
(20240229)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
(20240227)This thesis focuses on the various arithmetic aspects of elliptic curves and modular forms. Employing the exponential sum estimates obtained from sumproduct estimates for finite fields, we estimate exponential sums linked ... 
Narrative Echoes across Time and Space
(20240216)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
(20240212)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 ...