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Research PaperResearchia:202608.26032

Physics Attention Transformer Surrogate for Rapid Vertical Instability Growth Rate Prediction: Alcator C-Mod to SPARC

Arunav Kumar

Abstract

In this work, we investigate rapid prediction of the dominant $n{=}0$ vertical instability growth rate in C-Mod and SPARC equilibria, where nonrigid free boundary response models are too slow for control cycle use. Using a Physics Attention Transformer trained on MEQ-FGE-L labels, we predict both the scalar growth rate and the associated two dimensional perturbed toroidal current density. We find mean absolute errors of 5.4~s$^{-1}$ on held out C-Mod equilibria and 12.7~s$^{-1}$ on synthetic SPA...

Submitted: August 26, 2026Subjects: Statistics; Data Science

Description / Details

In this work, we investigate rapid prediction of the dominant n=0n{=}0 vertical instability growth rate in C-Mod and SPARC equilibria, where nonrigid free boundary response models are too slow for control cycle use. Using a Physics Attention Transformer trained on MEQ-FGE-L labels, we predict both the scalar growth rate and the associated two dimensional perturbed toroidal current density. We find mean absolute errors of 5.4sβˆ’1^{-1} on held out C-Mod equilibria and 12.7sβˆ’1^{-1} on synthetic SPARC cases, with spatial eigenfunction errors near 5%. We also compared PAT with operator based ML models : FNO2D and DeepONet, where we found PAT predicts a much lower normalised growth rate error and improved spatial reconstruction. These results indicate that PAT can reproduce MEQ-FGE-L outputs at control relevant latency and could support future studies of growth rate headroom monitoring and proximity aware shape control.


Source: arXiv:2608.24785v1 - http://arxiv.org/abs/2608.24785v1 PDF: https://arxiv.org/pdf/2608.24785v1 Original Link: http://arxiv.org/abs/2608.24785v1

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Date:
Aug 26, 2026
Topic:
Data Science
Area:
Statistics
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Physics Attention Transformer Surrogate for Rapid Vertical Instability Growth Rate Prediction: Alcator C-Mod to SPARC | Researchia