Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Advisor "Schuhmacher, Dominic Prof. Dr."
Now showing items 1-6 of 6
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Graph Neural Networks for Spatial Data Analysis: Theoretical Results and Applications
(2025-12-02)Overall, this thesis explores the advantages and challenges of spatial data prediction tasks with Graph Neural Networks (GNN). Kriging, the best linear unbiased predictor presents a great number of advantages over other ... -
Spatial Random Graphs: Studying dependence structures in spatial data
(2025-10-02)Spatial random graphs provide a powerful framework for analyzing the relations and interactions governed by an underlying spatial structure. Such graphs can be used not only to model and analyze observed networks, but also ... -
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 ... -
Regularized Rao-Blackwellization
(2021-06-15)In statistics, Rao-Blackwellization is a well-known technique to improve estimators by removing ancillary information which does not help toward making inference on the parameter of interest. The present thesis reveals ... -
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 ... -
Convergence Rates in Dynamic Network Models
(2018-02-23)The stochastic network model by Britton and Lindholm (Journal of Statistical Physics 3, 2010) describes a class of reasonably realistic dynamics for a complex system with an underlying network structure. In a closed social ...