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In this work, we introduce a novel neural operator, the Solute Transport Operator Network (STONet), to efficiently model contaminant transport in micro-cracked porous media. STONet's model architecture is specifically designed for this…

机器学习 · 计算机科学 2025-07-02 Ehsan Haghighat , Mohammad Hesan Adeli , S Mohammad Mousavi , Ruben Juanes

Accurate long-term traffic forecasting remains a critical challenge in intelligent transportation systems, particularly when predicting high-frequency traffic phenomena such as shock waves and congestion boundaries over extended rollout…

机器学习 · 计算机科学 2025-08-28 Owais Ahmad , Milad Ramezankhani , Anirudh Deodhar

The escalating overlap between non-geostationary orbit (NGSO) and geostationary orbit (GSO) satellite frequency allocations necessitates accurate interference detection methods that address two pivotal technical gaps: computationally…

信号处理 · 电气工程与系统科学 2025-04-25 Chunyu Yang , Boyu Yang , Kun Qiu , Zhe Chen , Yue Gao

The precise simulation of turbulent flows is of immense importance in a variety of scientific and engineering fields, including climate science, freshwater science, and the development of energy-efficient manufacturing processes. Within the…

流体动力学 · 物理学 2024-06-10 Shengyu Chen , Peyman Givi , Can Zheng , Xiaowei Jia

Simulation of urban wind environments is crucial for urban planning, pollution control, and renewable energy utilization. However, the computational requirements of high-fidelity computational fluid dynamics (CFD) methods make them…

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

Developing fast and accurate surrogates for physics-based coastal and ocean models is an urgent need due to the coastal flood risk under accelerating sea level rise, and the computational expense of deterministic numerical models. For this…

The deep operator networks (DeepONet), a class of neural operators that learn mappings between function spaces, have recently been developed as surrogate models for parametric partial differential equations (PDEs). In this work we propose a…

机器学习 · 计算机科学 2024-10-31 Yuan Qiu , Nolan Bridges , Peng Chen

Neural operators have emerged as powerful surrogates for dynamical systems due to their grid-invariant properties and computational efficiency. However, the Fourier-based neural operator framework inherently truncates high-frequency…

机器学习 · 计算机科学 2026-04-09 Tianyue Yang , Xiao Xue

Scientific computing using deep learning has seen significant advancements in recent years. There has been growing interest in models that learn the operator from the parameters of a partial differential equation (PDE) to the corresponding…

机器学习 · 计算机科学 2024-02-14 Sung Woong Cho , Jae Yong Lee , Hyung Ju Hwang

Numerical simulations of seismic wave propagation in heterogeneous 3D media are central to investigating subsurface structures and understanding earthquake processes, yet are computationally expensive for large problems. This is…

地球物理 · 物理学 2025-03-27 Caifeng Zou , Kamyar Azizzadenesheli , Zachary E. Ross , Robert W. Clayton

Continuum robots enable dexterous manipulation in constrained environments, but require accurate and efficient models for real-time manipulation and control. Traditional physics-based models can be computationally expensive and may suffer…

机器人学 · 计算机科学 2026-05-20 Branden Frieden , James M. Ferguson , Alan Kuntz , Varun Shankar

We introduce DeepVIVONet, a new framework for optimal dynamic reconstruction and forecasting of the vortex-induced vibrations (VIV) of a marine riser, using field data. We demonstrate the effectiveness of DeepVIVONet in accurately…

机器学习 · 计算机科学 2025-01-09 Ruyin Wan , Ehsan Kharazmi , Michael S Triantafyllou , George Em Karniadakis

Neural operators, which aim to approximate mappings between infinite-dimensional function spaces, have been widely applied in the simulation and prediction of physical systems. However, the limited representational capacity of network…

机器学习 · 计算机科学 2025-06-03 Jin Song , Kenji Kawaguchi , Zhenya Yan

Neural operators have emerged as a powerful tool for solving partial differential equations (PDEs) and other complex scientific computing tasks. However, the performance of single operator block is often limited, thus often requiring…

数值分析 · 数学 2025-07-18 Yichen Wang , Wenlian Lu

In this paper, we propose a multiscale DeepONet to represent nonlinear operator between Banach spaces of highly oscillatory continuous functions. The multiscale deep neural network (DNN) utilizes a multiple scaling technique to convert high…

数值分析 · 数学 2021-11-10 Lizuo Liu , Wei Cai

Ground settlement prediction during the process of mechanized tunneling is of paramount importance and remains a challenging research topic. Typically, two paradigms are existing: a physics-driven approach utilizing process-oriented…

计算工程、金融与科学 · 计算机科学 2025-08-07 Chen Xu , Ba Trung Cao , Yong Yuan , Günther Meschke

Fourier Neural Operators are deep learning models that learn mappings between function spaces and can be used to learn and solve partial differential equations (PDEs), in some cases significantly faster than traditional PDE solvers. Within…

机器学习 · 计算机科学 2026-05-05 Michael F. Staddon

Developing the proper representations for simulating high-speed flows with strong shock waves, rarefactions, and contact discontinuities has been a long-standing question in numerical analysis. Herein, we employ neural operators to solve…

机器学习 · 计算机科学 2024-04-23 Ahmad Peyvan , Vivek Oommen , Ameya D. Jagtap , George Em Karniadakis

Deep operator network (DeepONet) has shown significant promise as surrogate models for systems governed by partial differential equations (PDEs), enabling accurate mappings between infinite-dimensional function spaces. However, when applied…

机器学习 · 计算机科学 2025-10-29 Sharmila Karumuri , Lori Graham-Brady , Somdatta Goswami