Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Title
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PACLernen zur Insolvenzvorhersage und HotspotIdentifikation
(20080722)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
(20200224)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
(20081027)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
(20160912)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
(20130115)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, ... 
PatternBased Vulnerability Discovery
(20151110)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
(20141127)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 highlevel behavior which uses ... 
Permuting actions, moment maps and the generalized SeibergWitten equations
(20160421)In this thesis, we study properties and the geometry related to the generalization of the SeibergWitten equations introduced by Taubes and Pidstrygach. A crucial ingrediant to these equations is a hyperkähler manifold M ... 
Persistence in discrete Morse theory
(20110715)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
(20160629)The twodimensional phase retrieval problem arises in many areas of experimental physics, e.g. in xray microscopy. The central theme of this thesis is the application of sparsity constraints in the twodimensional ... 
PHOENIX: A Premise to Reinforce Heterogeneous and Evolving Internet Architectures with Exemplary Applications
(20201202)The Internet was designed primarily for sharing expensive resources through establishing pointtopoint connection using dedicated IP addresses. However, it has since evolved both in complexity and its number of users. ... 
Phylogenetic Forest Spaces
(20230110)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 graphtheoretic tree with a ... 
Planning a Public Transportation System with a View Towards Passengers' Convenience
(20160224)This thesis contributes to the understanding of problems and their relation within the area of public transportation planning. Among the main planning problems, appearing in this area, are network design, line planning, ... 
Planning and Optimization During the LifeCycle of Service Level Agreements for Cloud Computing
(20150610)A Service Level Agreement (SLA) is an electronic contract between the consumer and the provider of a service. It governs their business relationship by clarifying expectations and obligations of participating entities, ... 
Poincaredualitätsalgebren, Koinvarianten und WuKlassen
(20030806)Certain algebras of coinvariants have the extra structure of a Poincare duality algebra. We describe and characterize some of these Poincare duality algebras via Macaulay inverses of the ... 
Point Source Approximation Methods in Inverse Obstacle Reconstruction Problems
(20060209)We consider point source approximation methods for the solution of inverse object reconstruction problems for the Laplace and the Helmholtz equation. We present a twostep algorithm to ... 
Pointwise conjugate groups and modules over the Steenrod algebra
(20011107)The thesis treats pointwise conjugate representations of finite groups and their rings of polynomial invariants, in particular as unstable modules over the Steenrod algebra. Given and ndimensional linear representation ... 
Preconditioned Newton methods for illposed problems
(20070905)We consider preconditioned regularized Newton methods tailored to the efficient solution of nonlinear largescale exponentially illposed problems.In the first part of this thesis we investigate ... 
Prediction of ProteinProtein Interaction Sites with Conditional Random Fields
(20121128)Proteinprotein interactions appear in almost every biological process. Proteins are mainly folded into three dimensional structures, which requires that a meaningful prediction should take consideration of the important ... 
Probabilistic Methods for Computational Annotation of Genomic Sequences
(20110204)New sequencing techniques have increased enormously the speed that new genomic sequences are produced. As manual inspection is impossible for this amount of data, there is an ongoing ...