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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…

数值分析 · 数学 2020-06-16 Chengping Rao , Hao Sun , Yang Liu

In modern transportation systems, an enormous amount of traffic data is generated every day. This has led to rapid progress in short-term traffic prediction (STTP), in which deep learning methods have recently been applied. In traffic…

机器学习 · 计算机科学 2020-09-03 Kyungeun Lee , Moonjung Eo , Euna Jung , Yoonjin Yoon , Wonjong Rhee

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

Traffic state estimation (TSE) becomes challenging when probe-vehicle penetration is low and observations are spatially sparse. Pure data-driven methods lack physical explanations and have poor generalization when observed data is sparse.…

机器学习 · 计算机科学 2025-12-04 Yanlin Chen , Kehua Chen , Yinhai Wang

This paper presents a new approach to simulate forward and inverse problems of moving loads using physics-informed machine learning (PIML). Physics-informed neural networks (PINNs) utilize the underlying physics of moving load problems and…

机器学习 · 计算机科学 2023-04-04 Taniya Kapoor , Hongrui Wang , Alfredo Núñez , Rolf Dollevoet

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

Physics-Informed Neural Networks (PINN) are neural networks (NNs) that encode model equations, like Partial Differential Equations (PDE), as a component of the neural network itself. PINNs are nowadays used to solve PDEs, fractional…

The significant increase in world population and urbanisation has brought several important challenges, in particular regarding the sustainability, maintenance and planning of urban mobility. At the same time, the exponential increase of…

机器学习 · 计算机科学 2021-04-28 João Rico , José Barateiro , Arlindo Oliveira

Car-following models (CFMs) are fundamental to traffic flow analysis and autonomous driving. Although calibrated physics-based and trained data-driven CFMs can replicate human driving behavior, their reliance on specific datasets limits…

人工智能 · 计算机科学 2025-10-13 Chengming Wang , Dongyao Jia , Wei Wang , Dong Ngoduy , Bei Peng , Jianping Wang

In vehicle trajectory prediction, physics models and data-driven models are two predominant methodologies. However, each approach presents its own set of challenges: physics models fall short in predictability, while data-driven models lack…

机器学习 · 计算机科学 2024-03-22 Keke Long , Zihao Sheng , Haotian Shi , Xiaopeng Li , Sikai Chen , Sue Ahn

Physics Informed Machine Learning has emerged as a popular approach for modeling and simulation in digital twins, enabling the generation of accurate models of processes and behaviors in real-world systems. However, existing methods either…

机器学习 · 计算机科学 2025-07-15 Muhammad Saad Zia , Ashiq Anjum , Lu Liu , Anthony Conway , Anasol Pena Rios

The inclusion of physical information in machine learning frameworks has revolutionized many application areas. This involves enhancing the learning process by incorporating physical constraints and adhering to physical laws. In this work…

机器学习 · 计算机科学 2025-06-06 Chayan Banerjee , Kien Nguyen , Clinton Fookes , Maziar Raissi

Neural Networks (NN) has been used in many areas with great success. When a NN's structure (Model) is given, during the training steps, the parameters of the model are determined using an appropriate criterion and an optimization algorithm…

机器学习 · 计算机科学 2024-08-15 Ali Mohammad-Djafari , Ning Chu , Li Wang , Caifang Cai , Liang Yu

Physics-informed neural networks (PINNs) are a newly emerging research frontier in machine learning, which incorporate certain physical laws that govern a given data set, e.g., those described by partial differential equations (PDEs), into…

神经与进化计算 · 计算机科学 2023-07-11 Bo Wang , A. K. Qin , Sajjad Shafiei , Hussein Dia , Adriana-Simona Mihaita , Hanna Grzybowska

Weather forecasting is essential but remains computationally intensive and physically incomplete in traditional numerical weather prediction (NWP) methods. Deep learning (DL) models offer efficiency and accuracy but often ignore physical…

机器学习 · 计算机科学 2025-05-26 Yingtao Luo , Shikai Fang , Binqing Wu , Qingsong Wen , Liang Sun

Deep reinforcement learning (DRL) has empowered a variety of artificial intelligence fields, including pattern recognition, robotics, recommendation-systems, and gaming. Similarly, graph neural networks (GNN) have also demonstrated their…

机器学习 · 计算机科学 2022-11-09 Sai Munikoti , Deepesh Agarwal , Laya Das , Mahantesh Halappanavar , Balasubramaniam Natarajan

Data assimilation for parameter and state estimation in subsurface transport problems remains a significant challenge due to the sparsity of measurements, the heterogeneity of porous media, and the high computational cost of forward…

机器学习 · 计算机科学 2020-06-24 QiZhi He , David Brajas-Solano , Guzel Tartakovsky , Alexandre M. Tartakovsky

Deep learning (DL) models have achieved strong performance in an intelligence healthcare setting, yet most existing approaches operate as black boxes and ignore the physical processes that govern tumor growth, limiting interpretability,…

机器学习 · 计算机科学 2026-03-31 Pulock Das , Al Amin , Kamrul Hasan , Rohan Thompson , Azubike D. Okpalaeze , Liang Hong

Physics-informed machine learning has been a promising data-driven and physics-informed approach in geotechnical engineering. This study proposes a physics-informed extreme learning machine (PIELM) framework for analyzing tunneling-induced…

机器学习 · 计算机科学 2025-10-02 Fu-Chen Guo , Pei-Zhi Zhuang , Fei Ren , Hong-Ya Yue , He Yang

Autonomous racing is a critical research area for autonomous driving, presenting significant challenges in vehicle dynamics modeling, such as balancing model precision and computational efficiency at high speeds (>280km/h), where minor…

机器人学 · 计算机科学 2024-12-03 John Chrosniak , Jingyun Ning , Madhur Behl