Dokumente Fakultät für Mathematik und Informatik (inkl. GAUSS) nach Erscheinungsdatum
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Diophantine problems over global fields and a conjecture of Artin over function fields
(2023-05-26)This thesis considers three diophantine problems over different global fields and Artin's primitive root conjecture over function fields. In the first chapter, which is a joint project with Christian Bernert, the main ... -
Novikov-Shubin Invariants of Nilpotent Lie Groups
(2023-05-25)Novikov-Shubin invariants are so-called L2-invariants of non-compact manifolds. They are defined using the Laplace operators and measure the density of their spectra near zero. This near-zero part of the spectrum is ... -
Interpreting and visualizing the decisions of Deep Neural Networks
(2023-04-20)Machine learning and its associated algorithms involving deep neural networks have gained widespread admiration in the computer vision domain. In this regard, significant progress has been made in automating certain ... -
Concordances in Positive Scalar Curvature and Index Theory
(2023-02-24)We apply the strategy to study of diffeomorphisms via block diffeomorphisms to the world of positive scalar curvature (psc) metrics. For each closed psc manifold, we construct the cubical set of all psc block metrics, the ... -
High-order Unfitted Discretizations for Partial Differential Equations Coupled with Geometric Flow
(2023-02-17)We consider a moving free boundary problem where a diffusion equation posed on an evolving domain bounded by a smooth surface is coupled with a mean curvature flow of the bounding surface. The evolution velocity of the ... -
Aperiodic dynamical inclusions of C*-algebras
(2023-02-16)We define an analogue of the local multiplier algebra for Hilbert modules and use properties of this localisation to enrich non-closed actions on C*-algebras to closed actions on local multiplier algebras. This is used to ... -
Mineralogical mapping of selected areas of the lunar surface using Moon Mineralogy Mapper data.
(2023-01-12)The dissertation is concerned with spectrophotometric studies of selected areas of the lunar surface using the data generated by the mapping spectrometer Moon Mineralogy Mapper (M3), onboard the Chandrayaan-1 spacecraft. ... -
Phylogenetic Forest Spaces
(2023-01-10)Given a fixed set of operational taxonomic units (OTUs), when studying their evolutionary relationships among each other, a common way of depicting those is to construct a phylogenetic tree, a graph-theoretic tree with a ... -
Gromov-Wasserstein Distances and their Lower Bounds
(2022-11-25)In various applications in biochemistry, computer vision and machine learning, it is of great interest to compare general objects in a pose invariant manner. Recently, the following approach has received increased attention: ... -
Über J. Bernsteins zweite Adjungiertheit für reduktive p-adische Gruppen
(2022-10-25)We give a new and essentially elementary proof of an important result due to Joseph Bernstein in the theory of smooth representations of a reductive p-adic group G. Main tools for studying these representations are parabolic ... -
Statistical and Structural Aspects of Unbalanced Optimal Transport Barycenters
(2022-10-20)Optimal transport (OT) has seen a stellar rise in interest and relevance in the past two decades. More recently, severe limitation of OT have started to surface. Two key factors prevent it from becoming a standard tool in ... -
Multiple Extended Target Tracking in Maritime Environment Using Marine Radar Data
(2022-10-13)Target tracking is today one of the main pillars supporting applications for Maritime Traffic Situation Assessment and Monitoring ( MTSAM ). It provides information on the targets (vessels) obtained from the sensors within ... -
Investigation of Information Privacy in Employment: Fundamental Knowledge and Practical Solutions for the Human-Centered Design of Measures to Preserve the Right to Informational Self-Determination in Employment
(2022-10-10)The processing of employee personal data is dramatically increasing. To protect employees' fundamental right to privacy, the law provides for the implementation of privacy controls, including transparency and intervention. ... -
MoniSys: Sensing, Communication, and Video Analysis in UAV Monitoring System
(2022-09-30)Over the past 20 years, visual data has taken over every aspect of our lives, and camera deployment has experienced an unprecedented increase. For example, in the USA and UK, there is one camera for every 8 people used for ... -
A knowledge base for generating patient-specific pathways for individualized treatment decisions in clinical applications
(2022-09-29)The vast amount of published data on molecular interactions makes it increasingly challenging for researchers and practitioners to find and extract the most relevant information to target the underlying diseases. Network ... -
Neural Network Based Methods for the Conformational Landscape Determination in High Resolution Cryo-Electron Microscopy
(2022-09-22)During the last decades 3D transmission electron cryo-microscopy (cryoEM) has emerged to be the method of choice for the study of motion in larger protein complexes. The aim of Single Particle Analysis (SPA) in cryoEM is ... -
Automated Static Analysis Tools: A Multidimensional view on Software Quality Evolution
(2022-08-31)Software use is ubiquitous. The quality and the evolution of quality over long periods of time is therefore of notable importance. Software engineering research investigates software quality in multiple areas. One of ... -
Robuste ANOVA-Typ-Statistik in hochdimensionalen Mehrgruppendesigns
(2022-08-25)This thesis proves a robustness property of the ANOVA type statistic in repeated measures designs, i.e. experimental designs with multiple measurements of the same scale on the same experimental unit. As the Huynh-Feldt-test, ... -
Computational methods for random tomography with applications to cryo-EM data
(2022-08-01)Over the last decade, Cryo Electron Microscopy (cryo-EM) has emerged as a powerful and reliable technique to determine the three-dimensional (3D) structure of large macro-molecular assemblies at near atomic resolution. ... -
A Process-Oriented Framework for Security Assessment of Cyber-Physical Systems
(2022-07-28)Due to digitalization and technological advancement, systems and their requirements are changing, and there is an increasing use of Cyber-Physical Systems (CPS) with a direct connection between the physical and the digital ...