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This paper proposes a new data-driven method for the reliable prediction of power system post-fault trajectories. The proposed method is based on the fundamentally new concept of Deep Operator Networks (DeepONets). Compared to traditional…

数值分析 · 数学 2022-02-16 Christian Moya , Shiqi Zhang , Meng Yue , Guang Lin

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

This work presents a physics-based machine learning framework to predict and analyze oxides of nitrogen (NOx) emissions from compression-ignition engine-powered vehicles using on-board diagnostics (OBD) data as input. Accurate NOx…

机器学习 · 计算机科学 2025-03-10 Harish Panneer Selvam , Bharat Jayaprakash , Yan Li , Shashi Shekhar , William F. Northrop

This paper focuses on the feasibility of Deep Neural Operator (DeepONet) as a robust surrogate modeling method within the context of digital twin (DT) for nuclear energy systems. Through benchmarking and evaluation, this study showcases the…

机器学习 · 统计学 2024-04-30 Kazuma Kobayashi , Syed Bahauddin Alam

Neural networks are universal approximators that traditionally have been used to learn a map between function inputs and outputs. However, recent research has demonstrated that deep neural networks can be used to approximate operators,…

In this paper, we consider the design of model predictive control (MPC) algorithms based on deep operator neural networks (DeepONets). These neural networks are capable of accurately approximating real and complex valued solutions of…

最优化与控制 · 数学 2025-05-26 Thomas Oliver de Jong , Khemraj Shukla , Mircea Lazar

Neural network based data-driven operator learning schemes have shown tremendous potential in computational mechanics. DeepONet is one such neural network architecture which has gained widespread appreciation owing to its excellent…

机器学习 · 统计学 2022-06-14 Shailesh Garg , Souvik Chakraborty

Noise poses a challenge for learning dynamical-system models because already small variations can distort the dynamics described by trajectory data. This work builds on operator inference from scientific machine learning to infer…

机器学习 · 计算机科学 2021-07-27 Wayne Isaac Tan Uy , Yuepeng Wang , Yuxiao Wen , Benjamin Peherstorfer

Driving cycles are a set of driving conditions and are crucial for the existing emission estimation model to evaluate vehicle performance, fuel efficiency, and emissions, by matching them with average speed to calculate the operating modes,…

机器学习 · 计算机科学 2025-04-08 Muhammad Usama , Haris N. Koutsopoulos , Zhengbing He , Lijiao Wang

Discovering hidden physical laws and identifying governing system parameters from sparse observations are central challenges in computational science and engineering. Existing data-driven methods, such as physics-informed neural networks…

机器学习 · 计算机科学 2026-04-16 Dibakar Roy Sarkar , Vijay Kag , Birupaksha Pal , Somdatta Goswami

A new data-driven method for operator learning of stochastic differential equations(SDE) is proposed in this paper. The central goal is to solve forward and inverse stochastic problems more effectively using limited data. Deep operator…

机器学习 · 统计学 2022-04-08 Jiahao Zhang , Shiqi Zhang , Guang Lin

This paper proposes a new data-driven methodology for predicting intervals of post-fault voltage trajectories in power systems. We begin by introducing the Quantile Attention-Fourier Deep Operator Network (QAF-DeepONet), designed to capture…

Nonlinear structural analyses in engineering often require extensive finite element simulations, limiting their applicability in design optimization and real-time control. Conventional deep learning surrogates often struggle with complex,…

机器学习 · 计算机科学 2026-02-20 Jangseop Park , Namwoo Kang

Neural operators (NOs) employ deep neural networks to learn mappings between infinite-dimensional function spaces. Deep operator network (DeepONet), a popular NO architecture, has demonstrated success in the real-time prediction of complex…

机器学习 · 计算机科学 2025-06-03 Sharmila Karumuri , Lori Graham-Brady , Somdatta Goswami

The Deep Operator Networks~(DeepONet) is a fundamentally different class of neural networks that we train to approximate nonlinear operators, including the solution operator of parametric partial differential equations (PDE). DeepONets have…

数值分析 · 数学 2021-11-05 Guang Lin , Christian Moya , Zecheng Zhang

Accurately estimating aircraft fuel flow is essential for evaluating new procedures, designing next-generation aircraft, and monitoring the environmental impact of current aviation practices. This paper investigates the generalization…

机器学习 · 计算机科学 2025-07-25 Gabriel Jarry , Ramon Dalmau , Philippe Very , Junzi Sun

Operator learning for complex nonlinear systems is increasingly common in modeling multi-physics and multi-scale systems. However, training such high-dimensional operators requires a large amount of expensive, high-fidelity data, either…

数值分析 · 数学 2023-11-22 Amanda A. Howard , Mauro Perego , George E. Karniadakis , Panos Stinis

Understanding how complex systems respond to perturbations, such as whether they will remain stable or what their most sensitive patterns are, is a fundamental challenge across science and engineering. Traditional stability and receptivity…

流体动力学 · 物理学 2026-04-28 Chengyun Wang , Liwei Chen , Nils Thuerey

To ensure frequency security in power systems, both the rate of change of frequency (RoCoF) and the frequency nadir (FN) must be explicitly accounted for in real-time frequency-constrained optimal power flow (FCOPF). However, accurately…

系统与控制 · 电气工程与系统科学 2026-02-13 Fan Jiang , Xingpeng Li , Pascal Van Hentenryck

Operator learning has emerged as a promising paradigm for developing efficient surrogate models to solve partial differential equations (PDEs). However, existing approaches often overlook the domain knowledge inherent in the underlying PDEs…

机器学习 · 计算机科学 2025-10-20 Ziqian Li , Kang Liu , Yongcun Song , Hangrui Yue , Enrique Zuazua