Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Title
Now showing items 390-409 of 550
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On Turing machines, groupoids, and Atiyha problem
(2011-03-17)Turing dynamical system, an abstract version of a Turing machine, is defined and investigated using groupoids. The main presented application is to the Atiyah problem in group theory. ... -
On two Random Models in Data Analysis
(2017-03-02)In this thesis, we study two random models with various applications in data analysis. For our first model, we investigate subspaces spanned by biased random vectors. The underlying random model is motivated by applications ... -
Online Resource Management
(2015-05-04)In this thesis, we consider several problems related to online resource management. In online optimization, an algorithm has to make decisions based on a sequence of incoming bits of information without knowledge of future ... -
Online Social Network Data Placement over Clouds
(2014-08-11)Internet services today are often deployed and operated in data centers and clouds; users access and use the services by connecting to such data centers from their computing devices. For availability, fault tolerance, and ... -
Ontology-based transformation of natural language queries into SPARQL queries by evolutionary algorithms
(2022-01-21)In this thesis an ontology-driven evolutionary learning system for natural language querying of RDF graphs is presented. The learning system itself does not answer the query, but generates a SPARQL query against the ... -
Optimal Hankel Structured Rank-1 Approximation
(2022-03-10)Hankel matrices are closely related to linear time-invariant (LTI) models, which are widely used in areas like system theory, signal processing, computer algebra, or machine learning. The complexity of such a model is ... -
Optimizations of Optical Flow Measurement Systems
(2018-10-22)In this cumulative thesis contributions are presented that cover the computational aspects of optical measurement systems for flow investigations in aerodynamics and fluid mechanics. Flow measurements are useful in gaining ... -
Origami Cylinders
(2018-05-02)Origami, the age-old art of folding intricate three-dimensional structures from flat material, has found numerous applications in e.g. the design of deployable structures and mechanical metamaterials. This thesis ... -
PAC-Lernen zur Insolvenzvorhersage und Hotspot-Identifikation
(2008-07-22)Methods of machine learning are a very powerful tool in bioinformatics. Due to their versatility they also proof useful in different fields of application. In case of supervised learning, ... -
Paradifferential Operators and Conormal Distributions
(2020-02-24)In this thesis we develop a generalization of Hörmander’s symbol calculus of conor- mal distributions [Hö07, Chapter 18.2] and provide techniques for applications to nonlinear hyperbolic Partial Differential Equations. ... -
Parallele dynamische Adaption hybrider Netze für effizientes verteiltes Rechnen
(2008-10-27)The presented work covers the research activities and publications of the author in the field of scientifc computing. The article deals with the numeric simulation of aerodynamic effects ... -
Partial Least Squares for Serially Dependent Data
(2016-09-12)In the first paper we consider the partial least squares algorithm for dependent data and study the consequences of ignoring the dependence both theoretically and numerically. Ignoring nonstationary dependence structures ... -
Pathwise Uniqueness of the Stochastic Heat Equation with Hölder continuous o diffusion coefficient and colored noise
(2013-01-15)We consider the stochastic heat equation in $\mathbb{R}_+ \times \mathbb{R}^q$ with multiplicative noise: \[ \partial_t u(t,x) = \frac{1}{2} \Delta u(t,x) + b(t,x,u(t,x)) + \sigma(t,x,u(t,x)) \, \dot{W}(t,x) .\] Here, ... -
Pattern-Based Vulnerability Discovery
(2015-11-10)With our increasing reliance on the correct functioning of computer systems, identifying and eliminating vulnerabilities in program code is gaining in importance. To date, the vast majority of these flaws are found by ... -
Perceptual Segmentation of Visual Streams by Tracking of Objects and Parts
(2014-11-27)The ability to parse visual streams into semantically meaningful entities is an essential element of intelligent systems. This process - known as segmentation - is a necessary precursor to high-level behavior which uses ... -
Permuting actions, moment maps and the generalized Seiberg-Witten equations
(2016-04-21)In this thesis, we study properties and the geometry related to the generalization of the Seiberg-Witten equations introduced by Taubes and Pidstrygach. A crucial ingrediant to these equations is a hyperkähler manifold M ... -
Persistence in discrete Morse theory
(2011-07-15)The goal of this thesis is to bring together two different theories about critical points of a scalar function and their relation to topology: Discrete Morse theory and Persistent homology. ... -
Phase Retrieval with Sparsity Constraints
(2016-06-29)The two-dimensional phase retrieval problem arises in many areas of experimental physics, e.g. in x-ray microscopy. The central theme of this thesis is the application of sparsity constraints in the two-dimensional ... -
PHOENIX: A Premise to Reinforce Heterogeneous and Evolving Internet Architectures with Exemplary Applications
(2020-12-02)The Internet was designed primarily for sharing expensive resources through establishing point-to-point connection using dedicated IP addresses. However, it has since evolved both in complexity and its number of users. ... -
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 ...