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Jacobian Fine-Tuning Stabilizes Neural PDE Emulators

A new research paper explores Jacobian fine-tuning as a method to stabilize neural emulators for chaotic partial differential equations (PDEs). The study decomposes error sources, separating physical error growth from model-induced error amplification. By comparing emulator error to a counterfactual that propagates mistakes through the solver's Jacobian, the researchers derived an amplification ratio. This ratio helped determine that Jacobian fine-tuning significantly reduced errors, particularly for models with higher amplification ratios, with gains correlating to the fine-tuning cost and amplification ratio. AI

IMPACT Introduces a technique to improve the reliability of neural networks used for simulating complex physical systems.

RANK_REASON Research paper on a novel method for stabilizing neural network emulators. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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Jacobian Fine-Tuning Stabilizes Neural PDE Emulators

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Research paper on a novel method for stabilizing neural network emulators. [lever_c_demoted from research: ic=1 ai=1.0]
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  1. arXiv cs.LG TIER_1 English(EN) · Shreeyam Bangera, Manya Gupta ·

    When Does Jacobian Fine-Tuning Stabilize Neural PDE Emulators?

    arXiv:2610.42013v1 Announce Type: new Abstract: Neural emulators of chaotic PDEs are trained on one-step prediction but deployed autoregressively, where their errors compound. Jacobian-based regularisers aim to curb this growth, but in a chaotic system part of the growth is physi…