The methods of molecular biology for the quantitative measurement of geneexpression have undergone a rapid development in the past two decades.High-throughput assays with the microarray and RNA-seq technology now enable whole-genome studies i

Context-based RNA-seq mapping

Apr 22nd, 2016

In recent years, the sequencing of RNA (RNA-seq) using next generation sequencing (NGS) technology has become a powerful tool for analyzing the transcriptomic state of a cell. Modern NGS platforms allow for performing RNA-seq experiments in a f

Computing hybridization networks using agreement forests

Apr 8th, 2016

Rooted phylogenetic trees are widely used in biology to represent the evolutionary history of certain species. Usually, such a tree is a simple binary tree only containing internal nodes of in-degree one and out-degree two representing specific

Exploiting autobiographical memory for fallback authentication on smartphones

Mar 3rd, 2016

Smartphones have advanced from simple communication devices to multipurpose devices that capture almost every single moment in our daily lives and thus contain sensitive data like photos or contact information. In order to protect this data, us

Efficient data mining algorithms for time series and complex medical data

Feb 29th, 2016

Cross-species network and transcript transfer

Feb 5th, 2016

Metabolic processes, signal transduction, gene regulation, as well as gene and protein expression are largely controlled by biological networks. High-throughput experiments allow the measurement of a wide range of cellular states and interactio

Mean field limits for charged particles

Dec 21st, 2015

The aim of this thesis is to provide a rigorous mathematical derivation of the Vlasov-Poisson equation and the Vlasov-Maxwell equations in the large N limit of interacting charged particles. We will extend a method previously proposed by Boers

Fostering awareness and collaboration in large-class lectures

Dec 17th, 2015

For decades, higher education has been shaped by large-class lectures, which are characterized by large anonymous audiences. Well known issues of large-class lectures are a rather low degree of interactivity and a notable passivity of students,

Modeling the dynamics of large conditional heteroskedastic covariance matrices

Dec 11th, 2015

Many economic and financial time series exhibit time-varying volatility. GARCH models are tools for forecasting and analyzing the dynamics of this volatility. The co-movements in financial markets and financial assets around the globe have rece

The asymptotic behavior of the term structure of interest rates

Dec 8th, 2015

In this dissertation we investigate long-term interest rates, i.e. interest rates with maturitygoing to infinity, in the post-crisis interest rate market. Three different concepts of long-terminterest rates are considered for this purpose: th

Bayesian inference for infectious disease transmission models based on ordinary differential equations

Dec 2nd, 2015

Predicting the epidemiological effects of new vaccination programmes through mathematical-statistical transmission modelling is of increasing importance for the German Standing Committee on Vaccination. Such models commonly capture large popula

Erfassung und Behandlung von Positionsfehlern in standortbasierter Autorisierung

Nov 26th, 2015

Durch die immer größeren technischen Möglichkeiten mobiler Endgeräte sind die Voraussetzungen erfüllt, um diese zum mobilen Arbeiten oder zur Steuerung von industriellen Fertigungsprozessen einzusetzen. Aus Gründen der Informations- und Betrieb

Regularization methods for item response and paired comparison models

Nov 26th, 2015

Exploiting prior knowledge and latent variable representations for the statistical modeling and probabilistic querying of large knowledge graphs

Nov 20th, 2015

Large knowledge graphs increasingly add great value to various applications that require machines to recognize and understand queries and their semantics, as in search or question answering systems. These applications include Google search, Bin

Complex queries and complex data

Oct 30th, 2015

With the widespread availability of wearable computers, equipped with sensors such as GPS or cameras, and with the ubiquitous presence of micro-blogging platforms, social media sites and digital marketplaces, data can be collected and shared on

Scaling limits of random trees and graphs

Oct 23rd, 2015

In this thesis, we establish the scaling limit of several models of random trees and graphs, enlarging and completing the now long list of random structures that admit David Aldous' continuum random tree (CRT) as scaling limit. Our results answ

Spectral and dynamical properties of certain quantum hamiltonians in dimension two

Oct 19th, 2015

After 2004, when it was possible for the first time to isolate graphene flakes, the interest in quantum mechanics of plain systems has been intensified significantly. In graphene, that is a single layer of carbon atoms aligned in a regular hexa

Modeling and estimating multivariate dependence structures with the Bernstein copula

Oct 8th, 2015

Spectral and Eigenfunction correlations of finite-volume Schrödinger operators

Sep 23rd, 2015

The goal of this thesis is a mathematical understanding of a phenomenon called Anderson's Orthogonality in the physics literature. Given two non-interacting fermionic systems which differ by an exterior short-range scattering potential, the sca

Lorentz invariant quantum dynamics in the multi-time formalism

Sep 16th, 2015

The present work deals with the idea of a multi-time wave function, i.e. a wave function with N space-time arguments for N particles.Firstly, a careful derivation of the necessity of multi-time wave functions in relativistic quantum mechanics

Higher Brauer groups

Jul 21st, 2015

Constructive topology of bishop spaces

Jul 13th, 2015

The theory of Bishop spaces (TBS) is so far the least developed approach to constructive topology with points. Bishop introduced function spaces, here called Bishop spaces, in 1967, without really exploring them, and in 2012 Bridges revived the

Advances in applied nonlinear time series modeling

Jun 17th, 2015

Time series modeling and forecasting are of vital importance in many real world applications. Recently nonlinear time series models have gained much attention, due to the fact that linear time series models faced various limitations in many emp

Information-theoretic graph mining

Jun 11th, 2015

Real world data from various application domains can be modeled as a graph, e.g. social networks and biomedical networks like protein interaction networks or co-activation networks of brain regions. A graph is a powerful concept to model arbitr