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Conventional fluid simulations can be time consuming and energy intensive. We researched the viability of a neural network for simulating incompressible fluids in a randomized obstacle-heavy environment, as an alternative to the numerical…

流体动力学 · 物理学 2025-10-28 Rui Hespanha , Elliot McGuire , João Hespanha

In this paper, we introduce a physics and geometry informed neural operator network with application to the forward simulation of acoustic scattering. The development of geometry informed deep learning models capable of learning a solution…

机器学习 · 计算机科学 2024-06-06 Siddharth Nair , Timothy F. Walsh , Greg Pickrell , Fabio Semperlotti

Deep Operator Networks (DeepONets) have emerged as a powerful surrogate modeling framework for learning solution operators in PDE-governed systems. While their use is expanding across engineering disciplines, applications in geotechnical…

机器学习 · 计算机科学 2026-03-11 Yongjin Choi , Chenying Liu , Jorge Macedo

Neural networks have been applied to control problems, typically by combining data, differential equation residuals, and objective costs in the training loss or by incorporating auxiliary architectural components. Instead, we propose a…

最优化与控制 · 数学 2026-04-10 Oliver G. S. Lundqvist , Fabricio Oliveira

Modern power systems require fast and accurate dynamic simulations for stability assessment, digital twins, and real-time control, but classical ODE solvers are often too slow for large-scale or online applications. We propose a…

系统与控制 · 电气工程与系统科学 2025-11-10 Ioannis Karampinis , Petros Ellinas , Johanna Vorwerk , Spyros Chatzivasileiadis

Deep neural operators can learn nonlinear mappings between infinite-dimensional function spaces via deep neural networks. As promising surrogate solvers of partial differential equations (PDEs) for real-time prediction, deep neural…

机器学习 · 计算机科学 2023-05-17 Min Zhu , Handi Zhang , Anran Jiao , George Em Karniadakis , Lu Lu

Electroconvection is a multiphysics problem involving coupling of the flow field with the electric field as well as the cation and anion concentration fields. For small Debye lengths, very steep boundary layers are developed, but standard…

计算物理 · 物理学 2021-04-07 Shengze Cai , Zhicheng Wang , Lu Lu , Tamer A Zaki , George Em Karniadakis

Modeling the recovery of interdependent critical infrastructure is a key component of quantifying and optimizing societal resilience to disruptive events. However, simulating the recovery of large-scale interdependent systems under random…

机器学习 · 计算机科学 2022-06-23 Somayajulu L. N. Dhulipala , Ryan C. Hruska

Neural network observers (NNOs) are proposed for real-time estimation of fluid flows, addressing a key challenge in flow control: obtaining real-time flow states from a limited set of sparse and noisy sensor data. For this task, we propose…

流体动力学 · 物理学 2025-11-06 Tarcísio C. Déda , William R. Wolf , Scott T. M. Dawson , Brener L. O. Ramos

High percentage penetrations of renewable energy generations introduce significant uncertainty into power systems. It requires grid operators to solve alternative current optimal power flow (AC-OPF) problems more frequently for economical…

系统与控制 · 电气工程与系统科学 2022-07-04 Xiang Pan , Minghua Chen , Tianyu Zhao , Steven H. Low

We develop a novel physics informed deep learning approach for solving nonlinear drift-diffusion equations on metric graphs. These models represent an important model class with a large number of applications in areas ranging from transport…

机器学习 · 计算机科学 2025-05-08 Jan Blechschmidt , Tom-Christian Riemer , Max Winkler , Martin Stoll , Jan-F. Pietschmann

Deep Operator Networks (DeepOnets) have revolutionized the domain of scientific machine learning for the solution of the inverse problem for dynamical systems. However, their implementation necessitates optimizing a high-dimensional space…

We develop DeepOPF as a Deep Neural Network (DNN) approach for solving direct current optimal power flow (DC-OPF) problems. DeepOPF is inspired by the observation that solving DC-OPF for a given power network is equivalent to characterizing…

系统与控制 · 计算机科学 2020-09-24 Xiang Pan , Tianyu Zhao , Minghua Chen

Traditional computational fluid dynamics calculates the physical information of the flow field by solving partial differential equations, which takes a long time to calculate and consumes a lot of computational resources. We build a fluid…

流体动力学 · 物理学 2022-02-28 Qiang Liu , Wei Zhu , Xiyu Jia , Feng Ma , Yu Gao

Deep neural operators, such as DeepONets, have changed the paradigm in high-dimensional nonlinear regression from function regression to (differential) operator regression, paving the way for significant changes in computational engineering…

Flooding is a major natural hazard causing significant fatalities and economic losses annually, with increasing frequency due to climate change. Rapid and accurate flood detection and monitoring are crucial for mitigating these impacts.…

计算机视觉与模式识别 · 计算机科学 2025-01-15 Sanjida Afrin Mou , Tasfia Noor Chowdhury , Adib Ibn Mannan , Sadia Nourin Mim , Lubana Tarannum , Tasrin Noman , Jamal Uddin Ahamed

Machine learning, especially deep learning is gaining much attention due to the breakthrough performance in various cognitive applications. Recently, neural networks (NN) have been intensively explored to model partial differential…

机器学习 · 计算机科学 2022-02-28 Lesley Tan , Liang Chen

Computational Fluid Dynamics (CFD) is a hugely important subject with applications in almost every engineering field, however, fluid simulations are extremely computationally and memory demanding. Towards this end, we present Lat-Net, a…

机器学习 · 统计学 2017-05-26 Oliver Hennigh

Flow-level simulation is widely used to model large-scale data center networks due to its scalability. Unlike packet-level simulators that model individual packets, flow-level simulators abstract traffic as continuous flows with dynamically…

网络与互联网体系结构 · 计算机科学 2025-03-04 Chenning Li , Anton A. Zabreyko , Arash Nasr-Esfahany , Kevin Zhao , Prateesh Goyal , Mohammad Alizadeh , Thomas Anderson

Reconstructing high-fidelity fluid flow fields from sparse sensor measurements is vital for many science and engineering applications but remains challenging because of dimensional disparities between state and observational spaces. Due to…

流体动力学 · 物理学 2025-12-11 Hiep Vo Dang , Phong C. H. Nguyen