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This paper discusses an approach for incorporating prior physical knowledge into the neural network to improve data efficiency and the generalization of predictive models. If the dynamics of a system approximately follows a given…

神经与进化计算 · 计算机科学 2020-05-29 Andrei Ivanov , Uwe Iben , Anna Golovkina

A significant advancement in Neural Network (NN) research is the integration of domain-specific knowledge through custom loss functions. This approach addresses a crucial challenge: how can models utilize physics or mathematical principles…

机器学习 · 计算机科学 2025-03-27 Seyedeh Azadeh Fallah Mortezanejad , Ruochen Wang , Ali Mohammad-Djafari

Air quality prediction and modelling plays a pivotal role in public health and environment management, for individuals and authorities to make informed decisions. Although traditional data-driven models have shown promise in this domain,…

机器学习 · 计算机科学 2024-02-08 Kethmi Hirushini Hettige , Jiahao Ji , Shili Xiang , Cheng Long , Gao Cong , Jingyuan Wang

We investigate a new structure for machine learning classifiers applied to problems in high-energy physics by expanding the inputs to include not only measured features but also physics parameters. The physics parameters represent a…

高能物理 - 实验 · 物理学 2016-05-25 Pierre Baldi , Kyle Cranmer , Taylor Faucett , Peter Sadowski , Daniel Whiteson

We propose a new physics-informed neural network framework, IDPINN, based on the enhancement of initialization and domain decomposition to improve prediction accuracy. We train a PINN using a small dataset to obtain an initial network…

机器学习 · 计算机科学 2024-06-06 Chenhao Si , Ming Yan

This paper proposes a semi-supervised methodology for training physics-informed machine learning methods. This includes self-training of physics-informed neural networks and physics-informed Gaussian processes in isolation, and the…

机器学习 · 计算机科学 2024-04-10 Ming Zhong , Dehao Liu , Raymundo Arroyave , Ulisses Braga-Neto

We revisit the original approach of using deep learning and neural networks to solve differential equations by incorporating the knowledge of the equation. This is done by adding a dedicated term to the loss function during the optimization…

机器学习 · 计算机科学 2023-04-05 Hubert Baty , Leo Baty

Considerable research has been devoted to deep learning-based predictive models for system prognostics and health management in the reliability and safety community. However, there is limited study on the utilization of deep learning for…

机器学习 · 统计学 2021-09-07 Taotao Zhou , Enrique Lopez Droguett , Ali Mosleh

The recent rise of deep learning has led to numerous applications, including solving partial differential equations using Physics-Informed Neural Networks. This approach has proven highly effective in several academic cases. However, their…

数值分析 · 数学 2024-10-07 Marien Chenaud , Frédéric Magoulès , José Alves

The objective of this paper is to investigate the ability of physics-informed neural networks to learn the magnetic field response as a function of design parameters in the context of a two-dimensional (2-D) magnetostatic problem. Our…

计算工程、金融与科学 · 计算机科学 2022-09-30 Andrés Beltrán-Pulido , Ilias Bilionis , Dionysios Aliprantis

Physics-informed neural networks (PINNs) represent a significant advancement in scientific machine learning by integrating fundamental physical laws into their architecture through loss functions. PINNs have been successfully applied to…

机器学习 · 计算机科学 2024-07-16 Wei Zhou , Y. F. Xu

Physics-informed neural networks (PINNs) have emerged as a promising deep learning method, capable of solving forward and inverse problems governed by differential equations. Despite their recent advance, it is widely acknowledged that…

机器学习 · 计算机科学 2024-06-11 Franz M. Rohrhofer , Stefan Posch , Clemens Gößnitzer , Bernhard C. Geiger

Accurate models are essential for design, performance prediction, control, and diagnostics in complex engineering systems. Physics-based models excel during the design phase but often become outdated during system deployment due to changing…

机器学习 · 计算机科学 2025-01-22 Zihan Liu , Prashant N. Kambali , C. Nataraj

Data-driven methods have become increasingly more prominent for musculoskeletal modelling due to their conceptually intuitive simple and fast implementation. However, the performance of a pre-trained data-driven model using the data from…

信号处理 · 电气工程与系统科学 2022-11-23 Jie Zhang , Yihui Zhao , Tianzhe Bao , Zhenhong Li , Kun Qian , Alejandro F. Frangi , Sheng Quan Xie , Zhi-Qiang Zhang

The numerical approximation of solutions to the compressible Euler and Navier-Stokes equations is a crucial but challenging task with relevance in various fields of science and engineering. Recently, methods from deep learning have been…

流体动力学 · 物理学 2024-01-30 Simon Wassing , Stefan Langer , Philipp Bekemeyer

The incorporation of physical information in machine learning frameworks is opening and transforming many application domains. Here the learning process is augmented through the induction of fundamental knowledge and governing physical…

图像与视频处理 · 电气工程与系统科学 2024-05-14 Chayan Banerjee , Kien Nguyen , Clinton Fookes , George Karniadakis

Generating accurate and efficient predictions for the motion of the humans present in the scene is key to the development of effective motion planning algorithms for robots moving in promiscuous areas, where wrong planning decisions could…

机器人学 · 计算机科学 2022-03-04 Alessandro Antonucci , Gastone Pietro Rosati Papini , Luigi Palopoli , Daniele Fontanelli

When training data is scarce, the incorporation of additional prior knowledge can assist the learning process. While it is common to initialize neural networks with weights that have been pre-trained on other large data sets, pre-training…

机器学习 · 计算机科学 2022-05-24 Laura von Rueden , Sebastian Houben , Kostadin Cvejoski , Christian Bauckhage , Nico Piatkowski

The convergence of statistical learning and molecular physics is transforming our approach to modeling biomolecular systems. Physics-informed machine learning (PIML) offers a systematic framework that integrates data-driven inference with…

生物大分子 · 定量生物学 2025-11-11 Aaryesh Deshpande

Accurate and interpretable bearing fault classification is critical for ensuring the reliability of rotating machinery, particularly under variable operating conditions where domain shifts can significantly degrade model performance. This…

机器学习 · 计算机科学 2025-08-12 Tasfiq E. Alam , Md Manjurul Ahsan , Shivakumar Raman