Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Referee "Schöbel, Anita Prof. Dr."
Now showing items 1-20 of 20
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Barycenters and ANOVA for Point Pattern Data
(2022-05-10)In this thesis a new metric for point patterns is developed. A heuristic algorithm is presented, that computes barycenters with respect to the new metric. The barycenters are then used in ANOVA procedures, to assess the ... -
Investigating Robustness, Public Transport Optimization, and their Interface
(2019-07-11)By investigating robustness, public transport optimization, and their interface, this dissertation contributes research to the field of mathematical optimization via the cumulation of five individual but thematically ... -
Integrated Algorithms for Cost-Optimal Public Transport Planning
(2019-03-29)Since the demand for passenger transport is ever increasing, public transport planning is a topic of ongoing research. While single problem stages like line planning, timetabling or vehicle scheduling are already extensively ... -
Facility Location in the Phylogenetic Tree Space
(2019-03-25)Phylogenetics is a field of biology trying to describe the evolutionary history of a given set of populations or species. Evolutionary relationships are obtained through statistical models for phylogenetic inference. In ... -
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 ... -
Compressed Sensing and ΣΔ-Quantization
(2019-02-11)The main issue of my thesis is to bound the error while recovering signals from their compressed and quantized form. Especially my central contribution is that, together with my co-authors, we provide the first analysis ... -
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 ... -
Solution Methods for Multi-Objective Robust Combinatorial Optimization
(2018-05-02)This thesis addresses combinatorial optimization problems with several objectives containing uncertain parameters. A variety of robustness concepts for multi-objective optimization problems have been developed during the ... -
On Minmax Robustness for Multiobjective Optimization with Decision or Parameter Uncertainty
(2018-04-27)Multiobjective optimization problems (MOPs) are problems with two or more objective functions. Two types of uncertainty in MOPs are distinguished, namely decision uncertainty and parameter uncertainty. Decision uncertainty ... -
Geometric and algebraic approaches to mixed-integer polynomial optimization using sos programming
(2017-12-05)We consider geometric approaches that assist in the solution process of mixed-integer nonlinear programming (MINLP). Amongst others, we compute half-spaces, seminorm balls and ellipsoids that contain the relaxed feasible ... -
Planning a Public Transportation System with a View Towards Passengers' Convenience
(2016-02-24)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, ... -
Application of A Novel Triclustering Method in Analyzing Three Dimensional Transcriptomics Data
(2015-06-19)Due to the advancement of microarray technology over the last decade, it is feasible to monitor the gene expression dynamics not only over a set of replicates but also either a set of time points or doses of chemical ... -
Randomized Approximation and Online Algorithms for Assignment Problems
(2015-06-10)In this thesis, we consider several combinatorial optimization problems which feature assignment decisions. The first part deals with variants of the generalized assignment problem. We study an extension with additional ... -
Statistical Inference for Propagation Processes on Complex Networks
(2014-07-29)Scientists of various research fields have discovered the advantages of network-centric analysis, which captures complex systems by networks and allows for their representation as a collection of nodes connected by links. ... -
Concepts of Robustness for Uncertain Multi-Objective Optimization
(2014-04-30)In this thesis, several concepts of handling uncertainties in the formulation of mathematical optimization problems are presented. Some of these concepts are extensions of classical concepts of robustness for single objective ... -
A level set approach to integer nonlinear optimization
(2013-11-19)Integer nonlinear optimization programs form a class of very hard problems. Often it is much easier to solve the continuous relaxation. Therefore we are interested in this thesis in identifying special cases of integer ... -
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 ... -
Prediction of Protein-Protein Interaction Sites with Conditional Random Fields
(2012-11-28)Protein-protein 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 ... -
Locating median lines and hyperplanes with a restriction on the slope
(2012-10-02)In this thesis, we consider the location of median lines when there is a restriction on the slope of the line to locate as well as the more general location of median hyperplanes when there is a restriction on the slope ... -
Delay Management in Public Transportation: Capacities, Robustness, and Integration
(2010-02-17)In this work, we mainly deal with capacitated delay management that is an important task during the daily operations of a public transportation company. Unlike uncapacitated delay management ...