Search Results for author: Hans-Joachim Bungartz

Found 6 papers, 1 papers with code

Multi-fidelity Gaussian process surrogate modeling for regression problems in physics

no code implementations18 Apr 2024 Kislaya Ravi, Vladyslav Fediukov, Felix Dietrich, Tobias Neckel, Fabian Buse, Michael Bergmann, Hans-Joachim Bungartz

One of the main challenges in surrogate modeling is the limited availability of data due to resource constraints associated with computationally expensive simulations.

regression

Multi-fidelity Constrained Optimization for Stochastic Black Box Simulators

no code implementations25 Nov 2023 Atul Agrawal, Kislaya Ravi, Phaedon-Stelios Koutsourelakis, Hans-Joachim Bungartz

Constrained optimization of the parameters of a simulator plays a crucial role in a design process.

Context-aware learning of hierarchies of low-fidelity models for multi-fidelity uncertainty quantification

1 code implementation20 Nov 2022 Ionut-Gabriel Farcas, Benjamin Peherstorfer, Tobias Neckel, Frank Jenko, Hans-Joachim Bungartz

When training low-fidelity models, the proposed approach takes into account the context in which the learned low-fidelity models will be used, namely for variance reduction in Monte Carlo estimation, which allows it to find optimal trade-offs between training and sampling to minimize upper bounds of the mean-squared errors of the estimators for given computational budgets.

Uncertainty Quantification

Neural Nets with a Newton Conjugate Gradient Method on Multiple GPUs

no code implementations3 Aug 2022 Severin Reiz, Tobias Neckel, Hans-Joachim Bungartz

Training deep neural networks consumes increasing computational resource shares in many compute centers.

Model Order Reduction based on Runge-Kutta Neural Network

no code implementations25 Mar 2021 Qinyu Zhuang, Juan Manuel Lorenzi, Hans-Joachim Bungartz, Dirk Hartmann

The first step is dimension reduction by projection-based method, and the second is the model reconstruction by Neural Network.

Dimensionality Reduction

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