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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.15820 |
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| _version_ | 1866908838206111744 |
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| author | Zimmel, Anna Setinek, Paul Galletti, Gianluca Brandstetter, Johannes Zellinger, Werner |
| author_facet | Zimmel, Anna Setinek, Paul Galletti, Gianluca Brandstetter, Johannes Zellinger, Werner |
| contents | Machine learning surrogates are increasingly used in engineering to accelerate costly simulations, yet distribution shifts between training and deployment often cause severe performance degradation (e.g., unseen geometries or configurations). Test-Time Adaptation (TTA) can mitigate such shifts, but existing methods are largely developed for lower-dimensional classification with structured outputs and visually aligned input-output relationships, making them unstable for the high-dimensional, unstructured and regression problems common in simulation. We address this challenge by proposing a TTA framework based on storing maximally informative (D-optimal) statistics, which jointly enables stable adaptation and principled parameter selection at test time. When applied to pretrained simulation surrogates, our method yields up to 7% out-of-distribution improvements at negligible computational cost. To the best of our knowledge, this is the first systematic demonstration of effective TTA for high-dimensional simulation regression and generative design optimization, validated on the SIMSHIFT and EngiBench benchmarks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15820 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stabilizing Test-Time Adaptation of High-Dimensional Simulation Surrogates via D-Optimal Statistics Zimmel, Anna Setinek, Paul Galletti, Gianluca Brandstetter, Johannes Zellinger, Werner Machine Learning Machine learning surrogates are increasingly used in engineering to accelerate costly simulations, yet distribution shifts between training and deployment often cause severe performance degradation (e.g., unseen geometries or configurations). Test-Time Adaptation (TTA) can mitigate such shifts, but existing methods are largely developed for lower-dimensional classification with structured outputs and visually aligned input-output relationships, making them unstable for the high-dimensional, unstructured and regression problems common in simulation. We address this challenge by proposing a TTA framework based on storing maximally informative (D-optimal) statistics, which jointly enables stable adaptation and principled parameter selection at test time. When applied to pretrained simulation surrogates, our method yields up to 7% out-of-distribution improvements at negligible computational cost. To the best of our knowledge, this is the first systematic demonstration of effective TTA for high-dimensional simulation regression and generative design optimization, validated on the SIMSHIFT and EngiBench benchmarks. |
| title | Stabilizing Test-Time Adaptation of High-Dimensional Simulation Surrogates via D-Optimal Statistics |
| topic | Machine Learning |
| url | https://arxiv.org/abs/2602.15820 |