paper-with-me

홈 › Papers

Towards Universal Neural Operators through Multiphysics Pretraining

2025-11-13 · Mikhail Masliaev, Dmitry Gusarov, Ilya Markov, Alexander Hvatov arxiv

Although neural operators are widely used in data-driven physical simulations, their training remains computationally expensive. Recent advances address this issue via downstream learning, where a model pretrained on simpler problems is fine-tuned on more complex ones. In this research, we investigate transformer-based neural operators, which have previously been applied only to specific problems, in a more general transfer learning setting. We evaluate their performance across diverse PDE problems, including extrapolation to unseen parameters, incorporation of new variables, and transfer from multi-equation datasets. Our results demonstrate that advanced neural operator architectures can effectively transfer knowledge across PDE problems.

📄 PDF Abstract BibTeX arXiv:2511.10829

Code (0)

등록된 구현이 없습니다.

Tasks

Physical SimulationsTransfer Learning

Similar Papers 제목 키워드 기반

Pretraining Codomain Attention Neural Operators for Solving Multiphysics PDEs

2024-03-19 · Md Ashiqur Rahman, Robert Joseph George, Mogab Elleithy, Daniel Leibovici 외

Existing neural operator architectures face challenges when solving multiphysics problems with coupled partial differential equations (PDEs) due to complex geometries, interactions between physical variables, and the lim…

Few-Shot LearningSelf-Supervised Learning

Benchmarking neural surrogates on realistic spatiotemporal multiphysics flows

2025-12-21 · Runze Mao, Rui Zhang, Xuan Bai, Tianhao Wu 외 arxiv

Predicting multiphysics dynamics is computationally expensive and challenging due to the severe coupling of multi-scale, heterogeneous physical processes. While neural surrogates promise a paradigm shift, the field curre…

Latent Neural Operator Pretraining for Solving Time-Dependent PDEs

2024-10-26 · Tian Wang, Chuang Wang

Pretraining methods gain increasing attraction recently for solving PDEs with neural operators. It alleviates the data scarcity problem encountered by neural operator learning when solving single PDE via training on larg…

Operator learning

High-fidelity Multiphysics Modelling for Rapid Predictions Using Physics-informed Parallel Neural Operator

2025-02-26 · Biao Yuan, He Wang, Yanjie Song, Ana Heitor 외

Modelling complex multiphysics systems governed by nonlinear and strongly coupled partial differential equations (PDEs) is a cornerstone in computational science and engineering. However, it remains a formidable challeng…

Computational EfficiencyEnsemble LearningOperator learning

Tackling multiphysics problems via finite element-guided physics-informed operator learning

2026-03-02 · Yusuke Yamazaki, Reza Najian Asl, Markus Apel, Mayu Muramatsu 외 arxiv

This work presents a finite element-guided physics-informed operator learning framework for multiphysics problems with coupled partial differential equations (PDEs) on arbitrary domains. The proposed framework learns an …