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This work addresses the development of a physics-informed neural network (PINN) with a loss term derived from a discretized time-dependent reduced-order system. In this work, first, the governing equations are discretized using a finite…

数值分析 · 数学 2024-01-30 Rahul Halder , Giovanni Stabile , Gianluigi Rozza

Recent advancements in physics-informed neural networks (PINNs) and their variants have garnered substantial focus from researchers due to their effectiveness in solving both forward and inverse problems governed by differential equations.…

机器学习 · 计算机科学 2026-01-06 Shivani Saini , Ramesh Kumar Vats , Arup Kumar Sahoo

Physics-informed neural networks (PINNs) integrate fundamental physical principles with advanced data-driven techniques, driving significant advancements in scientific computing. However, PINNs face persistent challenges with stiffness in…

机器学习 · 计算机科学 2024-07-30 Pancheng Niu , Yongming Chen , Jun Guo , Yuqian Zhou , Minfu Feng , Yanchao Shi

Physics-informed neural networks (PINNs) offer a promising avenue for tackling both forward and inverse problems in partial differential equations (PDEs) by incorporating deep learning with fundamental physics principles. Despite their…

机器学习 · 计算机科学 2024-02-06 Hemanth Saratchandran , Shin-Fang Chng , Simon Lucey

Physics-Informed Neural Networks (PINNs) frequently encounter difficulties in accurately resolving shock waves within high-speed compressible flows, a failure largely attributed to the "gradient pathology" arising from extreme stiffness at…

计算物理 · 物理学 2026-05-25 Darui Zhao , Ze Tao , Fujun Liu

Solving inverse problems in dynamical systems governed by high-dimensional coupled ordinary differential equations (ODEs) is a ubiquitous challenge in scientific machine learning. In many real-world applications, researchers seek to uncover…

机器学习 · 计算机科学 2026-05-06 Zhao Wei , Kenneth Hor Cheng Koh , Sheng Yuan Chin , James Chun Yip Chan , Chin Chun Ooi , Yew-Soon Ong

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

Digital Image Correlation (DIC) is a key technique in experimental mechanics for full-field deformation measurement, traditionally relying on subset matching to determine displacement fields. However, selecting optimal parameters like shape…

图像与视频处理 · 电气工程与系统科学 2024-09-04 Boda Li , Shichao Zhou , Qinwei Ma , Shaopeng Ma

Physics-Informed Neural Networks (PINNs) have become a popular way to infer interpretable interaction parameters from noisy microbial time series, but practitioners face many tunable design choices (loss weights, regularisers, scaling,…

定量方法 · 定量生物学 2025-09-03 Pedro Fontanarrosa , Chris P Barnes

The placement of temperature sensitive and safety-critical components is crucial in the automotive industry. It is therefore inevitable, even at the design stage of new vehicles that these components are assessed for potential safety…

机器学习 · 计算机科学 2022-03-23 Philip Heger , Markus Full , Daniel Hilger , Norbert Hosters

Physics-Informed machine learning models have recently emerged with some interesting and unique features that can be applied to reservoir engineering. In particular, physics-informed neural networks (PINN) leverage the fact that neural…

流体动力学 · 物理学 2023-12-01 Daniel Badawi , Eduardo Gildin

Improving diesel engine efficiency, reducing emissions, and enabling robust health monitoring have been critical research topics in engine modelling. While recent advancements in the use of neural networks for system monitoring have shown…

机器学习 · 计算机科学 2026-03-17 Kamaljyoti Nath , Varun Kumar , Daniel J. Smith , George Em Karniadakis

Physics-Informed Neural Networks (PINNs) are mesh-free approaches for the numerical approximation of partial differential equations, where a neural network is trained by minimizing a loss function derived from the governing equations and…

数值分析 · 数学 2026-04-03 Medard Govoeyi , Thomas Richter

Digital twin technology, when combined with physics-informed machine learning with simulation results of Aspen, offers transformative capabilities for industrial process monitoring, control, and optimization. In this work, the proposed…

机器学习 · 计算机科学 2026-03-27 Debadutta Patra , Ayush Bardhan Tripathy , Soumya Ranjan Sahu , Sucheta Panda

We present a physics-informed neural network (PINN) approach for the discovery of slow invariant manifolds (SIMs), for the most general class of fast/slow dynamical systems of ODEs. In contrast to other machine learning (ML) approaches that…

数值分析 · 数学 2025-06-24 Dimitrios G. Patsatzis , Lucia Russo , Constantinos Siettos

Modeling concentric tube robots (CTRs) involves complex nonlinear continuum mechanics, and despite recent progress, physics-based models often lack an accurate representation of the experimental setups. To overcome these limitations, deep…

机器人学 · 计算机科学 2026-05-14 Navid Feizi , Filipe C. Pedrosa , Rajni V. Patel , Jagadeesan Jayender

A significant increase in renewable energy production is necessary to achieve the UN's net-zero emission targets for 2050. Using power-electronic controllers, such as Phase Locked Loops (PLLs), to keep grid-tied renewable resources in…

系统与控制 · 电气工程与系统科学 2023-03-23 Rahul Nellikkath , Andreas Venzke , Mohammad Kazem Bakhshizadeh , Ilgiz Murzakhanov , Spyros Chatzivasileiadis

Physically informed neural networks (PINNs) are a promising emerging method for solving differential equations. As in many other deep learning approaches, the choice of PINN design and training protocol requires careful craftsmanship. Here,…

机器学习 · 统计学 2023-10-09 Inbar Seroussi , Asaf Miron , Zohar Ringel

Physics-informed neural networks (PINNs) have shown to be an effective tool for solving forward and inverse problems of partial differential equations (PDEs). PINNs embed the PDEs into the loss of the neural network, and this PDE loss is…

计算物理 · 物理学 2023-07-19 Chenxi Wu , Min Zhu , Qinyang Tan , Yadhu Kartha , Lu Lu

Physics-Informed Neural Networks (PINNs) solve partial differential equations using deep learning. However, conventional PINNs perform pointwise predictions that neglect dependencies within a domain, which may result in suboptimal…

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