Parameterized physics-informed neural networks for parameterized PDEs

W Cho, M Jo, H Lim, K Lee, D Lee, S Hong… - arXiv preprint arXiv …, 2024 - arxiv.org
Complex physical systems are often described by partial differential equations (PDEs) that
depend on parameters such as the Reynolds number in fluid mechanics. In applications …

CoLoRA: Continuous low-rank adaptation for reduced implicit neural modeling of parameterized partial differential equations

J Berman, B Peherstorfer - arXiv preprint arXiv:2402.14646, 2024 - arxiv.org
This work introduces reduced models based on Continuous Low Rank Adaptation
(CoLoRA) that pre-train neural networks for a given partial differential equation and then …

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

Y Wang, J Bai, MS Eshaghi, C Anitescu… - arXiv preprint arXiv …, 2025 - arxiv.org
AI for PDEs has garnered significant attention, particularly Physics-Informed Neural
Networks (PINNs). However, PINNs are typically limited to solving specific problems, and …

Physics-Informed Neuro-Evolution (PINE): A Survey and Prospects

JC Wong, A Gupta, CC Ooi, PH Chiu, J Liu… - arXiv preprint arXiv …, 2025 - arxiv.org
Deep learning models trained on finite data lack a complete understanding of the physical
world. On the other hand, physics-informed neural networks (PINNs) are infused with such …

A Low Rank Neural Representation of Entropy Solutions

D Rim, G Welper - arXiv preprint arXiv:2406.05694, 2024 - arxiv.org
We construct a new representation of entropy solutions to nonlinear scalar conservation
laws with a smooth convex flux function in a single spatial dimension. The representation is …

FastLRNR and Sparse Physics Informed Backpropagation

W Cho, K Lee, N Park, D Rim, G Welper - arXiv preprint arXiv:2410.04001, 2024 - arxiv.org
We introduce Sparse Physics Informed Backpropagation (SPInProp), a new class of
methods for accelerating backpropagation for a specialized neural network architecture …

[PDF][PDF] M2 Internship: Mechanistic-Statistical Modeling with Physics-Informed Neural Networks

H Gangloff-hugo, N Jouvin-nicolas, P Gloaguen-pierre - mia-ps.inrae.fr
M2 Internship: Mechanistic-Statistical Modeling with Physics-Informed Neural Networks Page 1
M2 Internship: Mechanistic-Statistical Modeling with Physics-Informed Neural Networks …