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Physics-informed neural networks (PINNs) have emerged as a powerful tool for solving inverse problems, especially in cases where no complete information about the system is known and scatter measurements are available. This is especially…

计算工程、金融与科学 · 计算机科学 2023-08-03 Jeremias Garay , Jocelyn Dunstan , Sergio Uribe , Francisco Sahli Costabal

Physics-informed neural networks (PINNs) and their variants have been very popular in recent years as algorithms for the numerical simulation of both forward and inverse problems for partial differential equations. This article aims to…

数值分析 · 数学 2024-11-20 Tim De Ryck , Siddhartha Mishra

Quantum Fisher Information (QFI) sets the ultimate precision limit for parameter estimation and is therefore a central quantity in quantum metrology. In time-dependent many-body systems, however, maximizing QFI is a highly non-trivial task…

The integration of physics-based knowledge with machine learning models is increasingly shaping the monitoring, diagnostics, and prognostics of electrical transformers. In this two-part series, the first paper introduced the foundations of…

机器学习 · 计算机科学 2025-12-30 Jose I. Aizpurua

Physics-informed Neural Networks (PINNs) show that embedding physical laws directly into the learning objective can significantly enhance the efficiency and physical consistency of neural network solutions. Similar to optimizing loss…

量子物理 · 物理学 2026-03-27 Kaichen Ouyang , Mingyang Yu , Zong Ke , Jun Zhang , Yi Chen , Huiling Chen

Physics-informed neural networks (PINNs) employed in fluid mechanics deal primarily with stationary boundaries. This hinders the capability to address a wide range of flow problems involving moving bodies. To this end, we propose a novel…

流体动力学 · 物理学 2025-08-05 Yongzheng Zhu , Weizhen Kong , Jian Deng , Xin Bian

State estimation is the cornerstone of the power system control center since it provides the operating condition of the system in consecutive time intervals. This work investigates the application of physics-informed neural networks (PINNs)…

机器学习 · 计算机科学 2026-04-07 Solon Falas , Markos Asprou , Charalambos Konstantinou , Maria K. Michael

Physics-Informed Neural Networks (PINNs) have recently shown great promise as a way of incorporating physics-based domain knowledge, including fundamental governing equations, into neural network models for many complex engineering systems.…

机器学习 · 计算机科学 2021-05-06 Jian Cheng Wong , Chinchun Ooi , Pao-Hsiung Chiu , My Ha Dao

This paper formally develops a novel hierarchical planning and control framework for robust payload transportation by quadrupedal robots, integrating a model predictive control (MPC) algorithm with a gradient-descent-based adaptive updating…

Quantum state tomography (QST) faces exponential measurement requirements and noise sensitivity in multi-qubit systems, bottlenecking practical quantum technologies. We present a physics-informed neural network (PINN) framework integrating…

量子物理 · 物理学 2025-12-17 Changchun Feng , Laifa Tao , Lin Chen

Accurate vessel trajectory prediction is crucial for navigational safety, route optimization, traffic management, search and rescue operations, and autonomous navigation. Traditional data-driven models lack real-world physical constraints,…

机器学习 · 计算机科学 2025-06-17 Md Mahbub Alam , Amilcar Soares , José F. Rodrigues-Jr , Gabriel Spadon

For Prognostics and Health Management (PHM) of Lithium-ion (Li-ion) batteries, many models have been established to characterize their degradation process. The existing empirical or physical models can reveal important information regarding…

信号处理 · 电气工程与系统科学 2023-09-12 Pengfei Wen , Zhi-Sheng Ye , Yong Li , Shaowei Chen , Pu Xie , Shuai Zhao

Flexoelectricity, the coupling between strain gradients and electric polarization, poses significant computational challenges due to its governing fourth-order partial differential equations that require C1-continuous solutions. To address…

计算物理 · 物理学 2025-06-30 Hyeonbin Moon , Donggeun Park , Jinwook Yeo , Seunghwa Ryu

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 (PINN) are neural networks (NNs) that encode model equations, like Partial Differential Equations (PDE), as a component of the neural network itself. PINNs are nowadays used to solve PDEs, fractional…

In recent years, scientific machine learning, particularly physic-informed neural networks (PINNs), has introduced new innovative methods to understanding the differential equations that describe power system dynamics, providing a more…

系统与控制 · 电气工程与系统科学 2024-03-12 Huynh T. T. Tran , Hieu T. Nguyen

We present our progress on the application of physics informed deep learning to reservoir simulation problems. The model is a neural network that is jointly trained to respect governing physical laws and match boundary conditions. The…

流体动力学 · 物理学 2021-04-26 Cedric Fraces Gasmi , Hamdi Tchelepi

Modern power systems face significant challenges in state estimation and real-time monitoring, particularly regarding response speed and accuracy under faulty conditions or cyber-attacks. This paper proposes a hybrid approach using…

机器学习 · 计算机科学 2026-04-07 Solon Falas , Markos Asprou , Charalambos Konstantinou , Maria K. Michael

Physics-Informed Neural Networks present a novel approach in SciML that integrates physical laws in the form of partial differential equations directly into the NN through soft constraints in the loss function. This work studies the…

神经与进化计算 · 计算机科学 2026-02-17 Suhas Suresh Bharadwaj , Reuben Thomas Thovelil

Surrogate modeling is used to replace computationally expensive simulations. Neural networks have been widely applied as surrogate models that enable efficient evaluations over complex physical systems. Despite this, neural networks are…

机器学习 · 计算机科学 2024-02-13 Hao Chen , Gonzalo E. Constante Flores , Can Li