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

Fuente: arXiv
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Autori principali: Wang, Yizheng, Bai, Jinshuai, Eshaghi, Mohammad Sadegh, Anitescu, Cosmin, Zhuang, Xiaoying, Rabczuk, Timon, Liu, Yinghua
Natura: Preprint
Pubblicazione: 2025
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author Wang, Yizheng
Bai, Jinshuai
Eshaghi, Mohammad Sadegh
Anitescu, Cosmin
Zhuang, Xiaoying
Rabczuk, Timon
Liu, Yinghua
author_facet Wang, Yizheng
Bai, Jinshuai
Eshaghi, Mohammad Sadegh
Anitescu, Cosmin
Zhuang, Xiaoying
Rabczuk, Timon
Liu, Yinghua
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_00782
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Transfer Learning in Physics-Informed Neural Networks: Full Fine-Tuning, Lightweight Fine-Tuning, and Low-Rank Adaptation
Wang, Yizheng
Bai, Jinshuai
Eshaghi, Mohammad Sadegh
Anitescu, Cosmin
Zhuang, Xiaoying
Rabczuk, Timon
Liu, Yinghua
Machine Learning
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.
title Transfer Learning in Physics-Informed Neural Networks: Full Fine-Tuning, Lightweight Fine-Tuning, and Low-Rank Adaptation
topic Machine Learning
url https://arxiv.org/abs/2502.00782