Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Title
Now showing items 41-60 of 570
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Adaptive Multiscale Methods for Sparse Image Representation and Dictionary Learning
(2019-01-16)In this thesis we are interested in the topic of sparse digital image representation through adaptive multiscale basis. We develop for this two numerical methods: the Region Based Easy Path Wavelet Transform and the Haardict. ... -
Adaptive neuromechanical control for energy-efficient and adaptive compliant hexapedal walking on rough surfaces
(2015-06-12)The control of multi-legged animal walking is a neuromechanical process where the nervous system produces neural signals to activate the muscles for driving the skeletons (e.g., legs and joints). To model and achieve this ... -
Adaptive numerical methods for optimal and branched transport problems
(2023-11-20)Optimal transport is an area of mathematical research that has been gaining popularity in recent years in various application fields such as economics, statistics or machine learning. Two important factors behind its ... -
Adaptive Sparsification Mechanisms in Signal Recovery
(2021-04-06)This thesis considers two different adaptive recovery concepts. The first concept is concerned with proximity operators intertwined between an injective linear operator with bounded range and its pseudoinverse. A prominent ... -
Adaptive Waveletmethoden zur Approximation von Bildern
(2011-07-15)This thesis is concerned with adaptive wavelet methods for the approximation of images. First, the Easy-Path-Wavelet-Transform (EPWT) is introduced. The EPWT works as follows. We determine ... -
Advanced Methods for Radial Data Sampling in Magnetic Resonance Imaging
(2008-10-28)In magnetic resonance imaging (MRI), the received signal corresponds to the Fourier transform of the object's spin density, which can be sampled selectively by switching time varying gradient ... -
Advancing Explainable AI in Medicine: Novel Frameworks for Robustness, Evaluation, and Human-Centered Interpretability
(2025-06-23)The advancement of artificial intelligence (AI) has led to its increasing usage in various fields, including medicine, where AI models, particularly deep neural networks (DNNs), have shown great performance. However, ... -
Algebraic Structure and Integration in Generalized Differential Cohomology
(2014-01-22)The present thesis deals with the construction of algebraic structure, particularly products, on generalized differential cohomology from an abstract homotopy-theoretic point of view. Beginning with a multiplicative ... -
Algorithmen zur Kopplung und Interpolation in der Aerelastik
(2006-09-18)The simulation of the interaction between a fluid and a moving, deformable structure is an important task within many scientific and engineering problems. The central topic of this thesis ... -
Algorithms and Concepts for Robust Optimization
(2013-01-14)In this work we consider uncertain optimizition problems where no probability distribution is known. We introduce the approaches RecFeas and RecOpt to such a robust optimization problem, using a location theoretic point ... -
Algorithms and Data Structures for Parametric Analysis of Real-Time Systems
(2009-06-17)This document is intended to contribute to the area of validation and verification of communicating real time systems, with emphasis put on parametric reachability analysis of systems modeled ... -
Algorithms for Matching and Analysis Problems on Subsequences
(2024-10-14)The focus of this thesis is on the study of efficient algorithms and computational complexity results for matching and analysis problems on subsequences. The presented results comprise algorithmic solutions and lower ... -
Algorithms for Optimal Transport and Wasserstein Distances
(2019-02-28)Optimal Transport and Wasserstein Distance are closely related terms that do not only have a long history in the mathematical literature, but also have seen a resurgence in recent years, particularly in the context of ... -
Algorithms for structured nonconvex optimization: theory and practice
(2018-07-24)We first synthesize and unify notions of regularity, both of individual functions/sets and of families of functions/sets, as they appear in the convergence theory of fixed point iterations. Several new primal and dual ... -
Alignment-free Phylogeny Reconstruction Based On Quartet Trees
(2020-03-11)Traditional methods for phylogeny reconstruction are based on multiple sequence alignments and character-based methods. This combination of computationally expensive methods leads to very accurate results, but it is ... -
Alignmentfreie Analyse von Proteinsequenzen mit Verfahren des maschinellen Lernens
(2008-10-08)Currently, alignment-based methods are routinely used for functional characterization of novel protein sequences. However, these methods are computationally demanding for large sequence ... -
All Ravens are Black—Formalisation and Computational Analysis of Generalising Statements in Natural Language
(2024-05-16)This interdisciplinary thesis reviews and refines the concepts of generalisation and generalising statements (e.g. all ravens are black) as a phenomenon of human cognition and language. The main parts of the thesis target ... -
Almost sure behavior for increments of U-statistics
(2007-10-09)This thesis is concerned with a new type of almost sure behavior which was introduced by Erdös and Renyi. They found that the maxima of partial sums of independent and identically distributed ... -
Ambiguities in one-dimensional phase retrieval from Fourier magnitudes
(2016-01-13)In many scientific areas, such as astronomy, electron microscopy, and crystallography, one is faced with the problem to recover an unknown signal from the magnitudes of its Fourier transform. Unfortunately, this phase ... -
An Active Domain Node Architecture for the Semantic Web
(2009-02-04)The scope of this work is knowledge management in the Semantic Web. Its contribution is the design, development, and characterisation of an application node architecture for the Semantic ...