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The paper presents an efficient and robust data-driven deep learning (DL) computational framework developed for linear continuum elasticity problems. The methodology is based on the fundamentals of the Physics Informed Neural Networks…

机器学习 · 计算机科学 2023-02-21 Arunabha M. Roy , Rikhi Bose

The order/dimension of models derived on the basis of data is commonly restricted by the number of observations, or in the context of monitored systems, sensing nodes. This is particularly true for structural systems (e.g., civil or…

机器学习 · 计算机科学 2022-12-01 Zhilu Lai , Wei Liu , Xudong Jian , Kiran Bacsa , Limin Sun , Eleni Chatzi

Physics-driven deep learning methods have emerged as a powerful tool for computational magnetic resonance imaging (MRI) problems, pushing reconstruction performance to new limits. This article provides an overview of the recent developments…

图像与视频处理 · 电气工程与系统科学 2022-10-17 Kerstin Hammernik , Thomas Küstner , Burhaneddin Yaman , Zhengnan Huang , Daniel Rueckert , Florian Knoll , Mehmet Akçakaya

Supervised learning in function spaces is an emerging area of machine learning research with applications to the prediction of complex physical systems such as fluid flows, solid mechanics, and climate modeling. By directly learning maps…

机器学习 · 计算机科学 2022-06-09 Jacob H. Seidman , Georgios Kissas , Paris Perdikaris , George J. Pappas

Control Barrier Functions (CBFs) provide an elegant framework for constraining nonlinear control system dynamics to remain within an invariant subset of a designated safe set. However, identifying a CBF that balances performance-by…

机器学习 · 计算机科学 2024-11-05 Lakshmideepakreddy Manda , Shaoru Chen , Mahyar Fazlyab

Machine learning models are gaining increasing popularity in the domain of fluid dynamics for their potential to accelerate the production of high-fidelity computational fluid dynamics data. However, many recently proposed machine learning…

机器学习 · 计算机科学 2023-03-01 Dule Shu , Zijie Li , Amir Barati Farimani

High-precision scientific simulation faces a long-standing trade-off between computational efficiency and physical fidelity. To address this challenge, we propose NeuralOGCM, an ocean modeling framework that fuses differentiable programming…

机器学习 · 计算机科学 2025-12-15 Hao Wu , Yuan Gao , Fan Xu , Fan Zhang , Guangliang Liu , Yuxuan Liang , Xiaomeng Huang

This work presents a physics-informed neural network approach bridging deep-learning force field and electronic structure simulations, illustrated through twisted two-dimensional large-scale material systems. The deep potential molecular…

材料科学 · 物理学 2024-04-02 Yubo Qi , Weiyi Gong , Qimin Yan

Aerodynamic analysis during aircraft design usually involves methods of varying accuracy and spatial resolution, which all have their advantages and disadvantages. It is therefore desirable to create data-driven models which effectively…

机器学习 · 计算机科学 2025-07-29 Alexander Barklage , Philipp Bekemeyer

This paper proposes a new way to learn Physics-Informed Neural Network loss functions using Generalized Additive Models. We apply our method by meta-learning parametric partial differential equations, PDEs, on Burger's and 2D Heat…

机器学习 · 计算机科学 2024-12-03 Michail Koumpanakis , Ricardo Vilalta

Constitutive modeling based on continuum mechanics theory has been a classical approach for modeling the mechanical responses of materials. However, when constitutive laws are unknown or when defects and/or high degrees of heterogeneity are…

机器学习 · 计算机科学 2022-07-27 Huaiqian You , Quinn Zhang , Colton J. Ross , Chung-Hao Lee , Yue Yu

Recent advances in aerial robotics have enabled the use of multirotor vehicles for autonomous payload transportation. Resorting only to classical methods to reliably model a quadrotor carrying a cable-slung load poses significant…

In the last decade, deep learning has become a major component of artificial intelligence. The workhorse of deep learning is the optimization of loss functions by stochastic gradient descent (SGD). Traditionally in deep learning, neural…

机器学习 · 计算机科学 2021-04-27 Benjamin Scellier

The present work proposes an inflow turbulence generation strategy using deep learning methods. This is achieved with the help of an autoencoder architecture with two different types of operational layers in the latent-space: a fully…

流体动力学 · 物理学 2019-10-16 Aakash Vijay Patil

Current system thermal-hydraulic codes have limited credibility in simulating real plant conditions, especially when the geometry and boundary conditions are extrapolated beyond the range of test facilities. This paper proposes a…

机器学习 · 计算机科学 2020-01-14 Han Bao , Nam Dinh , Linyu Lin , Robert Youngblood , Jeffrey Lane , Hongbin Zhang

Deep Operator Networks (DeepONets) and their physics-informed variants have shown significant promise in learning mappings between function spaces of partial differential equations, enhancing the generalization of traditional neural…

机器学习 · 计算机科学 2025-01-08 Milad Ramezankhani , Anirudh Deodhar , Rishi Yash Parekh , Dagnachew Birru

Traditional foundation models are pre-trained on broad datasets to reduce the training resources (e.g., time, energy, labeled samples) needed for fine-tuning a wide range of downstream tasks. However, traditional foundation models struggle…

机器学习 · 计算机科学 2025-04-24 Majid Farhadloo , Arun Sharma , Mingzhou Yang , Bharat Jayaprakash , William Northrop , Shashi Shekhar

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

Important classes of active matter systems can be modeled using kinetic theories. However, kinetic theories can be high dimensional and challenging to simulate. Reduced-order representations based on tracking only low-order moments of the…

计算物理 · 物理学 2023-08-15 Suryanarayana Maddu , Scott Weady , Michael J. Shelley

Neural networks with physical governing equations as constraints have recently created a new trend in machine learning research. In line with such efforts, a deep learning model for one-dimensional consolidation where the governing equation…

计算工程、金融与科学 · 计算机科学 2025-02-26 Yared W. Bekele