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This work is concerned with discovering the governing partial differential equation (PDE) of a physical system. Existing methods have demonstrated the PDE identification from finite observations but failed to maintain satisfying results…

数值分析 · 数学 2023-02-09 Pongpisit Thanasutives , Takashi Morita , Masayuki Numao , Ken-ichi Fukui

In this paper, we propose a probabilistic physics-guided framework, termed Physics-guided Deep Markov Model (PgDMM). The framework targets the inference of the characteristics and latent structure of nonlinear dynamical systems from…

机器学习 · 计算机科学 2022-05-26 Wei Liu , Zhilu Lai , Kiran Bacsa , Eleni Chatzi

This work introduces a new framework integrating port-Hamiltonian systems (PHS) and neural network architectures. This framework bridges the gap between deterministic and stochastic modeling of complex dynamical systems. We introduce new…

数学物理 · 物理学 2025-09-09 Luca Di Persio , Matthias Ehrhardt , Youness Outaleb , Sofia Rizzotto

This study presents a comprehensive overview of PIML techniques in the context of condition monitoring. The central concept driving PIML is the incorporation of known physical laws and constraints into machine learning algorithms, enabling…

机器学习 · 计算机科学 2024-01-23 Yuandi Wu , Brett Sicard , Stephen Andrew Gadsden

Combining machine learning with physics is a trending approach for discovering unknown dynamics, and one of the most intensively studied frameworks is the physics-informed neural network (PINN). However, PINN often fails to optimize the…

机器学习 · 计算机科学 2023-11-29 Yuichi Kajiura , Jorge Espin , Dong Zhang

In control design most control strategies are model-based and require accurate models to be applied successfully. Due to simplifications and the model-reality-gap physics-derived models frequently exhibit deviations from real-world-systems.…

最优化与控制 · 数学 2022-08-09 Ricarda-Samantha Götte , Julia Timmermann

Scientific Machine Learning (SciML) integrates physics and data into the learning process, offering improved generalization compared with purely data-driven models. Despite its potential, applications of SciML in prognostics remain limited,…

机器学习 · 计算机科学 2025-11-04 Ibai Ramirez , Jokin Alcibar , Joel Pino , Mikel Sanz , David Pardo , Jose I. Aizpurua

Physics-Informed Machine Learning (PIML) has gained momentum in the last 5 years with scientists and researchers aiming to utilize the benefits afforded by advances in machine learning, particularly in deep learning. With large scientific…

计算物理 · 物理学 2021-05-26 Samuel J. Raymond , David B. Camarillo

Melt pool dynamics in metal additive manufacturing (AM) is critical to process stability, microstructure formation, and final properties of the printed materials. Physics-based simulation including computational fluid dynamics (CFD) is the…

机器学习 · 计算机科学 2023-07-25 R. Sharma , W. Grace Guo , M. Raissi , Y. B. Guo

Accurately learning the temporal behavior of dynamical systems requires models with well-chosen learning biases. Recent innovations embed the Hamiltonian and Lagrangian formalisms into neural networks and demonstrate a significant…

机器学习 · 计算机科学 2021-10-04 Shaan Desai , Marios Mattheakis , David Sondak , Pavlos Protopapas , Stephen Roberts

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,…

应用物理 · 物理学 2024-04-30 R. Bailey Bond , Pu Ren , Jerome F. Hajjar , Hao Sun

Physics-informed machine learning (PIML) provides a promising solution for building energy modeling and can serve as a virtual environment to enable reinforcement learning (RL) agents to interact and learn. However, challenges remain in…

系统与控制 · 电气工程与系统科学 2025-12-16 Zixin Jiang , Xuezheng Wang , Bing Dong

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…

机器学习 · 统计学 2025-11-20 Georgios Venianakis , Constantinos Theodoropoulos , Michail Kavousanakis

This paper introduces a physics-informed machine learning approach for pathloss prediction. This is achieved by including in the training phase simultaneously (i) physical dependencies between spatial loss field and (ii) measured pathloss…

机器学习 · 统计学 2023-12-15 Steffen Limmer , Alberto Martinez Alba , Nicola Michailow

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

Machine learning has emerged as a powerful tool in various fields, including computer vision, natural language processing, and speech recognition. It can unravel hidden patterns within large data sets and reveal unparalleled insights,…

机器学习 · 计算机科学 2024-05-24 Abdeldjalil Latrach , Mohamed Lamine Malki , Misael Morales , Mohamed Mehana , Minou Rabiei

Physics-informed machine learning (PIML) integrates mechanistic knowledge, typically in the form of partial differential equations (PDE), into data-driven models. Despite strong empirical performance, its statistical generalisation…

机器学习 · 计算机科学 2026-05-27 Thien V. Nguyen , Amaury Habrard , Benjamin Guedj

Many dynamical systems -- from robots interacting with their surroundings to large-scale multiphysics systems -- involve a number of interacting subsystems. Toward the objective of learning composite models of such systems from data, we…

机器学习 · 计算机科学 2023-05-16 Cyrus Neary , Ufuk Topcu

Conventional physics-based modeling techniques involve high effort, e.g., time and expert knowledge, while data-driven methods often lack interpretability, structure, and sometimes reliability. To mitigate this, we present a data-driven…

Current autonomous driving systems rely on specialized models for perceiving and predicting motion, which demonstrate reliable performance in standard conditions. However, generalizing cost-effectively to diverse real-world scenarios…

计算机视觉与模式识别 · 计算机科学 2025-10-21 Katie Luo , Jingwei Ji , Tong He , Runsheng Xu , Yichen Xie , Dragomir Anguelov , Mingxing Tan