Fachgruppe Mathematik: Suche
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A mass-conserving sparse grid combination technique with biorthogonal hierarchical basis functions for kinetic simulations
(2022-09)
The exact numerical simulation of plasma turbulence is one of the assets and challenges in fusion research. For grid-based solvers, sufficiently fine resolutions are often unattainable due to the curse of dimensionality. ...
Simrank-based prediction of crash simulation similarities
(2022)
Data searchability has been utilized for decades and is now a crucial ingredient of data reuse. However, data searchability in industrial engineering is essentially still at the level of individual text documents, while ...
Convergence of generalized cross-validation for an ill-posed integral equation
(2023-12)
In this article we rigorously show consistency of generalized cross-validation applied to an exemplary ill-posed integral equation, given a finite number of noisy point evaluations. In particular, we present non-asymptotic ...
Alignment of Highly Resolved Time-Dependent Experimental and Simulated Crash Test Data
(2022-05)
We investigate for car and component crash tests the comparison of highly resolved experimental data with corresponding simulation data. Due to re- cent advances for optical measurement systems, one can nowadays obtain ...
Convergence analysis of online algorithms for vector-valued kernel regression
(2023-09)
We consider the problem of approximating the regression function from noisy vectorvalued data by an online learning algorithm using an appropriate reproducing kernel Hilbert space (RKHS) as prior. In an online algorithm, ...
On the expected uniform error of Brownian motion approximated by the Lévy-Ciesielski construction
(2023-04)
It is known that the Brownian bridge or Lévy-Ciesielski construction of Brownian paths almost surely converges uniformly to the true Brownian path. In the present article the focus is on the uniform error. In particular, ...