English
Related papers

Related papers: Machine learning meets $\mathfrak{su}(n)$ Lie alge…

200 papers

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…

Chemical Physics · Physics 2024-09-06 Arif Ullah , Yu Huang , Ming Yang , Pavlo O. Dral

Predicting the remaining useful life (RUL) of rotating machinery is critical for industrial safety and maintenance, but existing methods struggle with scarce target-domain data and unclear degradation dynamics. We propose a Meta-Learning…

Machine Learning · Computer Science 2025-04-21 Yu Wang , Shujie Liu , Shuai Lv , Gengshuo Liu

Direct observations of earthquake nucleation and propagation are few and yet the next decade will likely see an unprecedented increase in indirect, surface observations that must be integrated into modeling efforts. Machine learning (ML)…

Mathematical Physics · Physics 2024-07-25 Cody Rucker , Brittany A. Erickson

Accurately modeling open quantum system dynamics is crucial for advancing quantum technologies, yet traditional methods struggle to balance accuracy and efficiency. Machine learning (ML) provides a promising alternative, particularly…

Chemical Physics · Physics 2025-04-25 Arif Ullah

Accurate dynamical modeling is essential for simulation and control of embodied systems, yet first-principles models of electromechanical systems often fail to capture complex dissipative effects such as joint friction, stray losses, and…

Machine Learning · Computer Science 2026-04-21 Youyuan Long , Gokhan Solak , Arash Ajoudani

In recent engineering applications using deep learning, physics-informed neural network (PINN) is a new development as it can exploit the underlying physics of engineering systems. The novelty of PINN lies in the use of partial differential…

Computational Engineering, Finance, and Science · Computer Science 2026-02-26 Kart Leong Lim , Rahul Dutta , Mihai Rotaru

Physics-informed neural networks (PINNs) have attracted considerable attention for their ability to integrate partial differential equation priors into deep learning frameworks; however, they often exhibit limited predictive accuracy when…

Machine Learning · Computer Science 2026-05-28 Ze Tao , Hanxuan Wang , Fujun Liu

Physics-informed neural networks (PINNs) have been proposed to learn the solution of partial differential equations (PDE). In PINNs, the residual form of the PDE of interest and its boundary conditions are lumped into a composite objective…

Computational Physics · Physics 2022-05-24 Shamsulhaq Basir , Inanc Senocak

The accurate modelling of structural dynamics is crucial across numerous engineering applications, such as Structural Health Monitoring (SHM), seismic analysis, and vibration control. Often, these models originate from physics-based…

Computational Physics · Physics 2024-10-31 Marcus Haywood-Alexander , Giacomo Arcieri , Antonios Kamariotis , Eleni Chatzi

Physics-informed neural networks (PINNs) have emerged as a promising mesh-free paradigm for solving partial differential equations, yet adoption in science and engineering is limited by slow training and modest accuracy relative to modern…

Computational Engineering, Finance, and Science · Computer Science 2026-02-24 Pao-Hsiung Chiu , Jian Cheng Wong , Chin Chun Ooi , Chang Wei , Yuchen Fan , Yew-Soon Ong

Quantum Machine Learning (QML) is fundamentally limited by two challenges: barren plateaus (exponentially vanishing gradients) and the fragility of parameterized quantum circuits under noise. Despite extensive empirical studies, a unified…

Machine Learning · Computer Science 2026-04-06 Haijian Shao , Dalong Zhao , Xing Deng , Wenzheng Zhu , Yingtao Jiang

Physics-informed neural networks (PINNs) offer a unified framework for solving both forward and inverse problems of differential equations, yet their performance and physical consistency strongly depend on how governing laws are…

Machine Learning · Computer Science 2026-03-31 Guojie Li , Liu Hong

Numerical methods such as finite element have been flourishing in the past decades for modeling solid mechanics problems via solving governing partial differential equations (PDEs). A salient aspect that distinguishes these numerical…

Numerical Analysis · Mathematics 2020-06-16 Chengping Rao , Hao Sun , Yang Liu

Physics-informed neural networks (PINN) is a machine learning (ML)-based method to solve partial differential equations that has gained great popularity due to the fast development of ML libraries in the last few years. The…

Chemical Physics · Physics 2024-12-31 Martin A. Achondo , Jehanzeb H. Chaudhry , Christopher D. Cooper

Since the introduction of deep learning for solving partial differential equations (PDEs), there has been growing interest in real-time system responses, where the kernel function plays a key role. Physics-informed neural networks (PINNs),…

Numerical Analysis · Mathematics 2025-11-17 Xiaopei Jiao , Fansheng Xiong

In this work, we propose a learning method for solving the linear transport equation under the diffusive scaling. Due to the multiscale nature of our model equation, the model is challenging to solve by using conventional methods. We employ…

Numerical Analysis · Mathematics 2021-02-25 Liu Liu , Tieyong Zeng , Zecheng Zhang

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…

Signal Processing · Electrical Eng. & Systems 2023-09-12 Pengfei Wen , Zhi-Sheng Ye , Yong Li , Shaowei Chen , Pu Xie , Shuai Zhao

Parameter estimation remains a challenging task across many areas of engineering. Because data acquisition can often be costly, limited, or prone to inaccuracies (noise, uncertainty) it is crucial to identify sensor configurations that…

Machine Learning · Statistics 2025-11-20 Georgios Venianakis , Constantinos Theodoropoulos , Michail Kavousanakis

There is growing interest in using machine learning (ML) methods for structural metamodeling due to the substantial computational cost of traditional simulations. Purely data-driven strategies often face limitations in model robustness,…

Applied Physics · Physics 2024-04-30 R. Bailey Bond , Pu Ren , Jerome F. Hajjar , Hao Sun

In complex engineering systems such as electro-thermal-fluid coupling, rapid and accurate prediction of multi-physics fields is essential for advanced applications like digital twins and real-time condition monitoring. Traditional numerical…

Computational Physics · Physics 2026-03-25 Baitong Zhou , Ze Tao , Fujun Liu , Xuan Fang
‹ Prev 1 2 3 10 Next ›