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Transfer Learning in Physics-Informed Neural Networks: Full Fine-Tuning, Lightweight Fine-Tuning, and Low-Rank Adaptation

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arxiv 2502.00782 v1 pith:JYP6K7TZ submitted 2025-02-02 cs.LG

classification cs.LG
keywords finetuningfulllearningpinnstransferadaptationconditionsfine-tuning
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AI for PDEs has garnered significant attention, particularly Physics-Informed Neural Networks (PINNs). However, PINNs are typically limited to solving specific problems, and any changes in problem conditions necessitate retraining. Therefore, we explore the generalization capability of transfer learning in the strong and energy form of PINNs across different boundary conditions, materials, and geometries. The transfer learning methods we employ include full finetuning, lightweight finetuning, and Low-Rank Adaptation (LoRA). The results demonstrate that full finetuning and LoRA can significantly improve convergence speed while providing a slight enhancement in accuracy.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. IP-Basis PINNs: Efficient Multi-Query Inverse Parameter Estimation

    cs.LG 2025-09 conditional novelty 5.0 of 10

    A pre-trained basis network enables fast multi-query inverse parameter estimation by fitting only a linear readout online, demonstrated on harmonic oscillators, Lotka-Volterra, and quantum harmonic oscillator.

  2. Physics-Informed Neural Networks in Clean Combustion: A Pathway to Sustainable Aerospace Propulsion

    physics.flu-dyn 2025-09 conditional novelty 3.0 of 10

    A review article argues physics-informed neural networks are a faster, more data-efficient route to clean combustion modeling, but its 'transformative' thesis is undercut by its own scaling caveats and duplicated sections.

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