Fachgruppe Mathematik: Browsing Fachgruppe Mathematik by Author "Garcke, Jochen"
Now showing items 1-10 of 10
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A sparse grid based method for generative dimensionality reduction of high-dimensional data
Bohn, Bastian; Garcke, Jochen; Griebel, Michael (2015-11)Generative dimensionality reduction methods play an important role in machine learning applications because they construct an explicit mapping from a low-dimensional space to the high-dimensional data space. We discuss a ... -
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 ... -
An adaptive sparse grid semi-Lagrangian scheme for first order Hamilton-Jacobi Bellman equations
Bokanowski, Olivier; Garcke, Jochen; Griebel, Michael; Klompmaker, Irene (2012-09)We propose a semi-Lagrangian scheme using a spatially adaptive sparse grid to deal with non-linear time-dependent Hamilton-Jacobi Bellman equations. We focus in particular on front propagation models in higher dimensions ... -
In-situ Estimation of Time-averaging Uncertainties in Turbulent Flow Simulations
Rezaeiravesh, Saleh; Gscheidle, Christian; Peplinski, Adam; Garcke, Jochen; Schlatter, Philipp (2022)The statistics obtained from turbulent flow simulations are generally uncertain due to finite time averaging. The techniques available in the literature to accurately estimate these uncertainties typically only work in an ... -
Intraday foreign exchange rate forecasting using sparse grids
Garcke, Jochen; Gerstner, Thomas; Griebel, Michael (2010-11)We present a machine learning approach using the sparse grid combination technique for the forecasting of intraday foreign exchange rates. The aim is to learn the impact of trading rules used by technical analysts just ... -
Knowledge discovery assistants for crash simulations with graph algorithms and energy absorption features
Pakiman, Anahita; Garcke, Jochen; Schumacher, Axel (2022)We propose the representation of data from finite element car crash simulations in a graph database to empower analysis approaches. The industrial perspective of this work is to narrow the gap between the uptake of modern ... -
Multi-resolution dynamic mode decomposition for early damage detection in wind turbine gearboxes
Climaco, Paolo; Garcke, Jochen; Iza-Teran, Rodrigo (2021-10)We introduce an approach for damage detection in gearboxes based on the analysis of sensor data with the multi-resolution dynamic mode decomposition (mrDMD). The application focus is the condition monitoring of wind turbine ... -
Operator based multi-scale analysis of simulation bundles
Iza-Teran, Rodrigo; Garcke, Jochen (2015-11)We propose a new mathematical data analysis approach, which is based on the mathematical principle of symmetry, for the post-processing of bundles of finite element data from computer-aided engineering. Since all those ... -
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 ... -
Suboptimal feedback control of PDEs by solving HJB equations on adaptive sparse grids
Garcke, Jochen; Kröner, Axel (2015)An approach to solve finite time horizon suboptimal feedback control problems for partial differential equations is proposed by solving dynamic programming equations on adaptive sparse grids. A semi-discrete optimal control ...