Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Title
Now showing items 166-185 of 566
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Development of algorithms and next-generation sequencing data workflows for the analysis of gene regulatory networks
(2017-04-11)Unraveling genetic and epigenetic mechanisms behind various biological processes is possible with Next generation sequencing (NGS) methodologies, with a multitude of tools developed to analyze such data. Nevertheless, ... -
Development of novel analysis and data integration systems to understand human gene regulation
(2018-06-27)Abstract: This thesis covers a very broad range of bioinformatics methods ranging from the development of the analysis pipeline to the data integration and development of an expression atlas (database and web application ... -
Development of novel Classical and Quantum Information Theory Based Methods for the Detection of Compensatory Mutations in MSAs
(2014-05-13)Multiple sequence alignments (MSAs) of homologous proteins are useful tools to characterize compensatory mutations between non-conserved residue sites. The identification of these residue sites in MSAs is an important ... -
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 ... -
Diophantine Equations and Cyclotomic Fields
(2016-03-09)This thesis examines some approaches to address Diophantine equations, specifically we focus on the connection between the Diophantine analysis and the theory of cyclotomic fields. First, we propose a quick introduction ... -
Diophantine Equations in Many Variables
(2014-11-06)Let K denote a p-adic field and $F_1,..,F_r \in k[x_1, . . . , x_n]$ be forms with respective degrees $d_1, . . . , d_r$. A contemporary version of a conjecture attributed to E. Artin states that $F_1, . . . , F_r$ have a ... -
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 ... -
Diophantine problems: inequalities and abelian varieties
(2023-11-10)In this thesis we consider the density of rational points near manifolds and a bound for the torsion on a simple abelian variety of type IV over a number field. In the first part the main result is an asymptotic for the ... -
Diophantine Representation in Thin Sequences
(2016-08-24)In this work we investigate conditions under which forms of arbitrary degree represent almost all elements of thin sequences (especially the set of squares). Stronger results are given for forms of degree 3 and 4. -
Direktes und inverses Randwertproblem für einen Crack mit Impedanzrandbedingung
(2003-11-25)We consider both direct and inverse scattering problems for an open arc in a plane with an impedance boundary condition.This thesis is divided into two main parts: In the first part we ... -
Discrete and Profinite Groups Acting on Regular Rooted Trees
(2010-01-14)We develop a new method to investigate groups acting on rooted trees. Considering the set of continuous functions from the automorphism group $\operatorname{Aut}X^*$ of a regular rooted tree to a finite field, we associate ... -
Discrete Parameter Estimation for Rare Events: From Binomial to Extreme Value Distributions
(2019-06-13)Estimating a discrete parameter from rare events is a challenging task, since observations are scarce in such situations. In this cumulative dissertation two distinct problems resulting from rare events are discussed and ... -
Distributed Anomaly Detection and Prevention for Virtual Platforms
(2015-07-24)An increasing number of applications are being hosted on cloud based platforms. Cloud platforms are serving as a general computing facility and applications being hosted on these platforms range from simple multi-tier web ... -
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 ... -
Domain decomposition for optimal transport and localized optimality conditions
(2024-12-19)Optimal transport (OT) is a fundamental tool in the study of the space of probability measures. Several algorithmic breakthroughs, such as the Sinkhorn algorithm, have allowed practicioners to solve the OT problem ... -
Drinfeld-Moduln und elliptische Garben
(2005-01-05)In this article we describe in detail the correspondence of Drinfeld modules and elliptic sheaves over an arbitary base. Then we include the concept of level structures into the correspondence. ... -
Dualities and genealogies in stochastic population models
(2018-02-26)In the thesis, population processes are studied in two different settings. In Part I, which arose in collaboration with Dr. Jan Swart, a so-called cooperative branching process is considered. We construct this process ... -
Dynamic Resource Scheduling in Cloud Data Center
(2015-10-26)Cloud infrastructure provides a wide range of resources and services to companies and organizations, such as computation, storage, database, platforms, etc. These resources and services are used to power up and scale out ... -
Early Cognitive Vision: Feedback Mechanisms for the Disambiguation of Early Visual Representation
(2008-04-25)Recent years have seen considerable progress in low level image processing as well as model based, vision applications. Joining the two fields proves to be a difficult problem due to the local ambiguity and noisiness ... -
Efficiency and Robustness Issues in Complex Statistical Designs for Two-Color Microarray Experiments
(2005-12-27)Identifying differentially expressed genes is one of the common goals of microarray experiments. The use of an efficient design in microarray experiments can improve the power of the ...