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Real-time, physically-consistent predictions on low-power edge devices is critical for the next generation embodied AI systems, yet it remains a major challenge. Physics-Informed Neural Networks (PINNs) combine data-driven learning with…

机器学习 · 计算机科学 2025-12-01 Chi Zhang , Lin Wang

Large language models (LLMs), like ChatGPT, have shown that even trained with noisy prior data, they can generalize effectively to new tasks through in-context learning (ICL) and pre-training techniques. Motivated by this, we explore…

机器学习 · 计算机科学 2024-10-10 Mingu Kang , Dongseok Lee , Woojin Cho , Jaehyeon Park , Kookjin Lee , Anthony Gruber , Youngjoon Hong , Noseong Park

In this study, we propose a new numerical scheme for physics-informed neural networks (PINNs) that enables precise and inexpensive solution for partial differential equations (PDEs) in case of arbitrary geometries while strictly enforcing…

数值分析 · 数学 2024-07-30 Hamed Saidaoui , Luis Espath , Rául Tempone

l flows and flat-plate boundary layers. However, it predicts too low a turbulent kinetic energy. This is a feature it shares with most other two-equation turbulence models. When comparing the terms in the k equations with DNS data it is…

流体动力学 · 物理学 2026-05-19 Lars Davidson

Machine learning techniques are employed to perform the full characterization of a quantum system. The particular artificial intelligence technique used to learn the Hamiltonian is called physics informed neural network (PINN). The idea…

Physics-Informed Neural Networks (PINNs) have emerged as a powerful tool for analyzing nonlinear partial differential equations and identifying governing equations from observational data. In this study, we apply PINNs to investigate…

流体动力学 · 物理学 2025-04-30 A. Nakamula , K. Obuse , N. Sawado , K. Shimasaki , Y. Shimazaki , Y. Suzuki , K. Toda

Recently, physics informed neural networks (PINNs) have been explored extensively for solving various forward and inverse problems and facilitating querying applications in fluid mechanics applications. However, work on PINNs for unsteady…

流体动力学 · 物理学 2024-02-28 Rahul Sundar , Dipanjan Majumdar , Didier Lucor , Sunetra Sarkar

In this paper, we review the new method Physics-Informed Neural Networks (PINNs) that has become the main pillar in scientific machine learning, we present recent practical extensions, and provide a specific example in data-driven discovery…

机器学习 · 计算机科学 2024-09-02 Maziar Raissi , Paris Perdikaris , Nazanin Ahmadi , George Em Karniadakis

Physics-informed neural networks (PINNs) constitute a flexible deep learning approach for solving partial differential equations (PDEs), which model phenomena ranging from heat conduction to quantum mechanical systems. Despite their…

We harness the physics-informed neural network (PINN) approach to extend the utility of phenomenological models for particle migration in shear flow. Specifically, we propose to constrain the neural network training via a model for the…

流体动力学 · 物理学 2023-04-28 Daihui Lu , Ivan C. Christov

A significant advancement in Neural Network (NN) research is the integration of domain-specific knowledge through custom loss functions. This approach addresses a crucial challenge: how can models utilize physics or mathematical principles…

机器学习 · 计算机科学 2025-03-27 Seyedeh Azadeh Fallah Mortezanejad , Ruochen Wang , Ali Mohammad-Djafari

Neural networks (NNs) accelerate simulations of quantum dissipative dynamics. Ensuring that these simulations adhere to fundamental physical laws is crucial, but has been largely ignored in the state-of-the-art NN approaches. We show that…

化学物理 · 物理学 2024-09-06 Arif Ullah , Yu Huang , Ming Yang , Pavlo O. Dral

Physics informed neural networks have been gaining popularity due to their unique ability to incorporate physics laws into data-driven models, ensuring that the predictions are not only consistent with empirical data but also align with…

种群与进化 · 定量生物学 2025-01-30 Dinh Viet Cuong , Branislava Lalić , Mina Petrić , Binh Nguyen , Mark Roantree

This paper is a step-by-step, self-contained guide to the complete training cycle of a Physics-Informed Neural Network (PINN) -- a topic that existing tutorials and guides typically delegate to automatic differentiation libraries without…

数值分析 · 数学 2026-04-21 Abdeladhim Tahimi

Simultaneously detecting hidden solid boundaries and reconstructing flow fields from sparse observations poses a significant inverse challenge in fluid mechanics. This study presents a physics-informed neural network (PINN) framework…

流体动力学 · 物理学 2025-04-01 Yongzheng Zhu , Weizheng Chen , Jian Deng , Xin Bian

The physics informed neural network (PINN) is evolving as a viable method to solve partial differential equations. In the recent past PINNs have been successfully tested and validated to find solutions to both linear and non-linear partial…

机器学习 · 计算机科学 2024-03-28 Vikas Dwivedi , Nishant Parashar , Balaji Srinivasan

Physics-informed neural networks (PINN) have recently become attractive for solving partial differential equations (PDEs) that describe physics laws. By including PDE-based loss functions, physics laws such as mass balance are enforced…

流体动力学 · 物理学 2024-06-26 Md Lal Mamud , Maruti K. Mudunuru , Satish Karra , Bulbul Ahmmed

Physics-informed neural networks (PINNs) have emerged as a transformative framework for addressing operator learning and inverse problems involving the Korteweg-de Vries (KdV) equation for internal solitary waves. By integrating physical…

流体动力学 · 物理学 2025-06-18 Ming Kang , Hang Li , Qiwen Tan , Zhan Wang , Ruipeng Li , Junfang Zhao , Hui Xiang , Dixia Fan

In recent years, Physics-Informed Neural Networks (PINNs) have become a representative method for solving partial differential equations (PDEs) with neural networks. PINNs provide a novel approach to solving PDEs through optimization…

计算物理 · 物理学 2024-11-28 Weiwei Zhang , Wei Suo , Jiahao Song , Wenbo Cao

Physics-Informed Neural Networks (PINNs) have emerged as a highly active research topic across multiple disciplines in science and engineering, including computational geomechanics. PINNs offer a promising approach in different applications…

计算工程、金融与科学 · 计算机科学 2024-04-30 Yared W. Bekele
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