Browsing Naturwissenschaften, Mathematik und Informatik by Referee "Huckemann, Stephan Prof. Dr."
Now showing items 1-10 of 10
-
Learning-based Biomimetic Strategies for Developing Control Schemes for Lower Extremity Rehabilitation Robotic Devices
(2023-06-16)Lower limb disabilities caused by factors such as amputation, neuromuscular impairment, and traumatic injury can significantly impact mobility and quality of life. To restore impaired functionality, individuals may use ... -
On minimax detection of localized signals from indirect or correlated data
(2022-05-05)This is a cumulative thesis consisting of two papers, in which we treat two problems related to the detectability of local anomalies within certain types of data. In the first paper, we suppose that a segment of a Gaussian ... -
Investigations in Hadamard spaces
(2021-08-27)This thesis investigates the interplay between geometry and convex analysis in Hadamard spaces. Motivated by numerous applications of CAT(0) geometry, our work builds upon the results in convex analysis and Alexandrov ... -
Benjamini-Schramm Convergence of Normalized Characteristic Numbers of Riemannian Manifolds
(2020-04-30)We study a weak form of Gromov-Hausdorff convergence of Riemannian manifolds, also known as Benjamini-Schramm convergence. This concept is also applicable to other areas and has widely been studied in the context of ... -
Cartoon-Residual Image Decompositions with Application in Fingerprint Recognition
(2019-12-11)Image decompositions into a piecewise smooth part - called a cartoon - and a residual part containing oscillating patterns and/or noise, proved to be very useful in automated image processing, for example in applications ... -
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 ... -
Wasserstein Distance on Finite Spaces: Statistical Inference and Algorithms
(2017-12-07)Wasserstein distances or, more generally, distances that quantify the optimal transport between probability measures on metric spaces have long been established as an important tool in probability theory. More recently, ... -
Estimating rigid motion in sparse sequential dynamic imaging: with application to nanoscale fluorescence microscopy
(2017-04-05)In this work, we deal with sequences of pixel images (frames) which are noisy shifted, rotated, and scaled versions of some unknown image f. Moreover, those frames are sparse in the sense that they do not show the whole ... -
Multiscale Change-point Segmentation: Beyond Step Functions
(2017-03-08)Many multiscale segmentation methods have been proven to work successfully for detecting multiple change-points, mainly because they provide faithful statistical statements, while at the same time allowing for efficient ... -
Equivariant Functional Shape Analysis in SO(3) with Applications to Gait Analysis
(2016-11-04)In gait analysis of the knee joint the data is given by curves in the group of $3\times3$ rotation matrices. We introduce $\mathcal{S}$-equivariant functional models (viz., Gaussian perturbations of a center curve) and ...