Network-based analysis of gene expression data

The methods of molecular biology for the quantitative measurement of gene
expression have undergone a rapid development in the past two decades...

Context-based RNA-seq mapping

In recent years, the sequencing of RNA (RNA-seq) using next generation sequencing (NGS) technology has become a powerful tool for analyzing the transc...

Computing hybridization networks using agreement forests

Rooted phylogenetic trees are widely used in biology to represent the evolutionary history of certain species. Usually, such a tree is a simple binary...

Exploiting autobiographical memory for fallback authentication on smartphones

Smartphones have advanced from simple communication devices to multipurpose devices that capture almost every single moment in our daily lives and thu...

Efficient data mining algorithms for time series and complex medical data

Cross-species network and transcript transfer

Metabolic processes, signal transduction, gene regulation, as well as gene and protein expression are largely controlled by biological networks. High-...

Mean field limits for charged particles

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...

Fostering awareness and collaboration in large-class lectures

For decades, higher education has been shaped by large-class lectures, which are characterized by large anonymous audiences. Well known issues of larg...

Modeling the dynamics of large conditional heteroskedastic covariance matrices

Many economic and financial time series exhibit time-varying volatility. GARCH models are tools for forecasting and analyzing the dynamics of this vol...

The asymptotic behavior of the term structure of interest rates

In this dissertation we investigate long-term interest rates, i.e. interest rates with maturity
going to infinity, in the post-crisis interest...

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

Predicting the epidemiological effects of new vaccination programmes through mathematical-statistical transmission modelling is of increasing importan...

Regularization methods for item response and paired comparison models

Erfassung und Behandlung von Positionsfehlern in standortbasierter Autorisierung

Durch die immer größeren technischen Möglichkeiten mobiler Endgeräte sind die Voraussetzungen erfüllt, um diese zum mobilen Arbeiten oder zur Steuerun...

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

Large knowledge graphs increasingly add great value to various applications that require machines to recognize and understand queries and their semant...

Complex queries and complex data

With the widespread availability of wearable computers, equipped with sensors such as GPS or cameras, and with the ubiquitous presence of micro-bloggi...

Scaling limits of random trees and graphs

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 stru...

Spectral and dynamical properties of certain quantum hamiltonians in dimension two

After 2004, when it was possible for the first time to isolate graphene flakes, the interest in quantum mechanics of plain systems has been intensifie...

Modeling and estimating multivariate dependence structures with the Bernstein copula

Spectral and Eigenfunction correlations of finite-volume Schrödinger operators

The goal of this thesis is a mathematical understanding of a phenomenon called Anderson's Orthogonality in the physics literature. Given two non-inter...

Lorentz invariant quantum dynamics in the multi-time formalism

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,...

Higher Brauer groups

Constructive topology of bishop spaces

The theory of Bishop spaces (TBS) is so far the least developed approach to constructive topology with points. Bishop introduced function spaces, here...

Advances in applied nonlinear time series modeling

Time series modeling and forecasting are of vital importance in many real world applications. Recently nonlinear time series models have gained much a...

Information-theoretic graph mining

Real world data from various application domains can be modeled as a graph, e.g. social networks and biomedical networks like protein interaction netw...

Fachmathematische Kenntnisse von Studierenden des Lehramts an Grund-, Haupt- oder Realschulen

Datenerfassung und Privatsphäre in partizipativen Sensornetzen

Partizipative Sensornetze (PSNs) stellen eine neue Art von Sensornetzen dar, die auf Basis von freiwillig zur Verfügung gestellten Mobiltelefonen etab...

Estimation and model selection for dynamic biomedical images

Compartment models are a frequently used tool for imaging data gained with medical and biological imaging techniques. The solutions of the differentia...

General methods for fine-grained morphological and syntactic disambiguation

We present methods for improved handling of morphologically
rich languages (MRLS) where we define
MRLS as languages that
are mor...

Global tests of association for multivariate ordinal data

Global tests are in demand whenever it is of interest to draw inferential conclusions about sets of variables as a whole. The present thesis attempts...

Statistical theory of the atom in momentum space

In 1992, Englert [Phys. Rev. A, 45;127--134] found a momentum energy functional for atoms and discussed the relation to the Thomas-Fermi functional (L...

Grasp-sensitive surfaces

Grasping objects with our hands allows us to skillfully move and manipulate them.
Hand-held tools further extend our capabilities by adapting p...

Experience Prototyping for Automotive Applications

In recent years, we started to define our life through experiences we make instead of objectswe buy. To attend a concert of our favorite musician may...

Liquid decision making

In today’s business world, decisions have to be made on different levels, including strategic, tactical, and operational levels. Decisions on the stra...

Extensions of semiparametric expectile regression

Expectile regression can be seen as an extension of available (mean) regression models as it describes more general properties of the response distrib...

Conditional transformation models

Penalized regression for discrete structures

Penalisierte Regressionsmodelle stellen eine Möglichkeit dar die Selektion von Kovariablen in die Schätzung eines Modells zu integrieren. Penalisierte...

Mathematical models for financial bubbles

Financial bubbles have been present in the history of financial markets from the early days up to the modern age. An asset is said to exhibit a bubble...

Integrating prior knowledge into factorization approaches for relational learning

An efficient way to represent the domain knowledge is relational data, where information is recorded in form of relationships between entities. Relati...

A Process Model for the Integrated Reasoning about Quantitative IT Infrastructure Attributes

IT infrastructures can be quantitatively described by attributes, like performance or energy efficiency. Ever-changing user demands and economic attem...

New challenges for interviewers when innovating social surveys

The combination of survey data with more objective information, such as administrative
records, is a promising innovation within social science...