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In an era increasingly focused on green computing and explainable AI, revisiting traditional approaches in theoretical and phenomenological particle physics is paramount. This project evaluates various machine learning (ML)…

High Energy Physics - Phenomenology · Physics 2025-04-30 Vasileios Vatellis

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…

Machine Learning · Computer Science 2025-12-30 Jose I. Aizpurua

Substitution of well-grounded theoretical models by data-driven predictions is not as simple in engineering and sciences as it is in social and economic fields. Scientific problems suffer most times from paucity of data, while they may…

Machine Learning · Computer Science 2020-11-18 Jacobo Ayensa-Jiménez , Mohamed H. Doweidar , Jose Antonio Sanz-Herrera , Manuel Doblaré

The residual loss in Physics-Informed Neural Networks (PINNs) alters the simple recursive relation of layers in a feed-forward neural network by applying a differential operator, resulting in a loss landscape that is inherently different…

Machine Learning · Computer Science 2024-06-14 Nima Hosseini Dashtbayaz , Ghazal Farhani , Boyu Wang , Charles X. Ling

Reconstructing unknown external source functions is an important perception capability for a large range of robotics domains including manipulation, aerial, and underwater robotics. In this work, we propose a Physics-Informed Neural Network…

Robotics · Computer Science 2024-11-05 Youngsun Wi , Jayjun Lee , Miquel Oller , Nima Fazeli

The transformative impact of machine learning, particularly Deep Learning (DL), on scientific and engineering domains is evident. In the context of computational fluid dynamics (CFD), Physics-Informed Neural Networks (PINNs) represent a…

Fluid Dynamics · Physics 2024-04-05 Siddharth Raghu , Rajdip Nayek , Vamsi Chalamalla

Physics-Informed Neural Networks (PINNs) represent a significant advancement in Scientific Machine Learning (SciML), which integrate physical domain knowledge into an empirical loss function as soft constraints and apply existing machine…

Machine Learning · Computer Science 2024-09-18 Xiaoran Cheng , Sen Na

This paper explores the difficulties in solving partial differential equations (PDEs) using physics-informed neural networks (PINNs). PINNs use physics as a regularization term in the objective function. However, a drawback of this approach…

Machine Learning · Computer Science 2023-06-21 Shamsulhaq Basir

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.…

Machine Learning · Computer Science 2026-01-06 Shivani Saini , Ramesh Kumar Vats , Arup Kumar Sahoo

Simulating nonlinear reaction-diffusion dynamics on complex, non-Euclidean manifolds remains a fundamental challenge in computational morphogenesis, constrained by high-fidelity mesh generation costs and symplectic drift in discrete…

Machine Learning · Computer Science 2026-03-24 Julian Evan Chrisnanto , Salsabila Rahma Alia , Nurfauzi Fadillah , Yulison Herry Chrisnanto

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…

Robotics · Computer Science 2026-05-14 Navid Feizi , Filipe C. Pedrosa , Rajni V. Patel , Jagadeesan Jayender

Remaining Useful Life (RUL) predictions play vital role for asset planning and maintenance leading to many benefits to industries such as reduced downtime, low maintenance costs, etc. Although various efforts have been devoted to study this…

Machine Learning · Computer Science 2024-04-09 Muhammad Tanzil Furqon , Mahardhika Pratama , Lin Liu , Habibullah , Kutluyil Dogancay

Physics-informed neural networks (PINNs) as a means of discretizing partial differential equations (PDEs) are garnering much attention in the Computational Science and Engineering (CS&E) world. At least two challenges exist for PINNs at…

Computational Physics · Physics 2023-01-23 Michael Penwarden , Shandian Zhe , Akil Narayan , Robert M. Kirby

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

We introduce NewPINNs, a physics-informing learning framework that couples neural networks with conventional numerical solvers for solving differential equations. Rather than enforcing governing equations and boundary conditions through…

Machine Learning · Computer Science 2026-01-27 Maedeh Makki , Satish Chandran , Maziar Raissi , Adrien Grenier , Behzad Mohebbi

Physics-Informed Neural Networks (PINNs) combine deep learning with physical constraints for solving partial differential equations (PDEs), and are widely applied in fluid mechanics, heat transfer, and solid mechanics. However, PINN…

Machine Learning · Computer Science 2026-05-18 Xujia Chen , Xinyue Hu , Letian Chen , Daming Shi , Wenhui Fan

Outdoor thermal comfort is a critical determinant of urban livability, particularly in hot desert climates where extreme heat poses challenges to public health, energy consumption, and urban planning. Mean Radiant Temperature ($T_{mrt}$) is…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Pouya Shaeri , Saud AlKhaled , Ariane Middel

The aim of this paper is to introduce a Mapping-based Hard-constrained Physics-Informed Neural Network (MH-PINN) for efficiently and accurately solving unbounded wave problems. First, we propose a coordinate mapping technique that…

Numerical Analysis · Mathematics 2026-04-23 Tao Zhang , Hanshu Chen , Ilia Marchevsky , Zhuojia Fu

Physics-Informed Neural Networks (PINNs) often suffer from slow convergence, training instability, and reduced accuracy on challenging partial differential equations due to the anisotropic and rapidly varying geometry of their loss…

Machine Learning · Computer Science 2026-04-20 Kang An , Chenhao Si , Shiqian Ma , Ming Yan

Despite their ubiquity, the rich physics present in a plasma sheath has inhibited the development of a generally applicable description of this critical region. The present study utilizes a physics-informed neural network (PINN) to evaluate…

Plasma Physics · Physics 2026-04-27 Ethan Webb , Yuzhi Li , Christopher McDevitt
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