Fachgruppe Mathematik: Auflistung Fachgruppe Mathematik nach Erscheinungsdatum
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Simrank-based prediction of crash simulation similarities
Pakiman, Anahita; Garcke, Jochen; Schumacher, Axel (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 ... -
Alignment of Highly Resolved Time-Dependent Experimental and Simulated Crash Test Data
Garcke, Jochen; Hahner, Sara; Iza-Teran, Rodrigo (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 ... -
A mass-conserving sparse grid combination technique with biorthogonal hierarchical basis functions for kinetic simulations
Pollinger, Theresa; Rentrop, Johannes; Pflüger, Dirk; Kormann, Katharina (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. ... -
On the expected uniform error of Brownian motion approximated by the Lévy-Ciesielski construction
Brown, Bruce; Griebel, Michael; Kuo, Frances Y.; Sloan, Ian H. (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, ... -
Convergence analysis of online algorithms for vector-valued kernel regression
Griebel, Michael; Oswald, Peter (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, ... -
Convergence of generalized cross-validation for an ill-posed integral equation
Jahn, Tim (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 ... -
Efficient solution of ill-posed integral equations through averaging
Griebel, Michael; Jahn, Tim (2024-01)This paper discusses the error and cost aspects of ill-posed integral equations when given discrete noisy point evaluations on a fine grid. Standard solution methods usually employ discretization schemes that are directly ...