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Felix Koehler

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#artificial intelligence Preprint Oct 2026

Compute-optimal data scaling for neural surrogates via multi-fidelity training

Neural surrogates for Partial Differential Equations (PDEs) are usually trained on synthetic data from numerical simulators. As models grow and scaling laws demand larger datasets, the cost of data generation often outweighs the training cost and becomes the bottleneck in the scaling quest. Unlike data in other domains...

Paul Setinek, F. Paischer, Nils Thuerey et al. · 0 citations
Preprint Aug 2026

From Numerical Simulators of PDEs to Neural Emulators and Back

Simulation is central to modern engineering and science, but the cost of numerical solvers for partial differential equations (PDEs) remains a bottleneck whenever fast or many-query evaluations are required. Neural emulators trained on solver-generated data promise significant speedups, yet they are usually framed as o...

Felix Koehler · 0 citations

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