Cancer is characterized as a multifactorial disease which undergoes genetic and epige- netic changes during invasive tumor growth. Thus, numerous tumor samples have been profiled using high-throughput sequencing technologies ...

In recent years, advances in sequencing techniques resulted in an explosive increase in sequencing data. By now, there are billions of generated protein sequences available in public databases to a large extent without ...

Optimal Transport (OT) has recently gained increasing attention in various fields ranging from biology to machine learning and mathematics. Especially OT based dissimilarity measures can be designed to respect the underlying ...

Learning to program is a hard task since it involves different types of specialized knowledge. You do not only need knowledge about the programming language and its concepts, but also knowledge from the problem domain and ...

One of the major challenges to enable automated driving is the perception of other road users in the host vehicle’s vicinity. Various automotive sensors that provide detailed information about other traffic participants ...

The improvements in sensor technology, e.g., the development of automotive Radio Detection and Ranging (RADAR) or Light Detection and Ranging (LIDAR), which are able to provide a higher detail of the sensor’s environment, ...

The reconstruction and analysis of sparse signals is a common and widely studied problem in signal processing, for example in wireless telecommunication or power system theory. Hereby, most recovery methods exploit structures ...

Recently, there has been an increasing interest in interacting particle systems on evolving random graphs, respectively in time evolving random environments. In this thesis a contact process in a time evolving edge random ...

A significant and computationally most demanding part of molecular dynamics simulations is the calculation of long-range electrostatic interactions. Such interactions can be evaluated directly by the naïve pairwise summation ...

The dimension subgroup problem and the Ore conjecture are two group theoretical problems. In this thesis, translations of these problems to Lie algebras are analyzed and partially solved.