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相关论文: Real-Time Prediction of Gas Flow Dynamics in Diese…

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We are concerned with the simulation and optimization of large-scale gas pipeline systems in an error-controlled environment. The gas flow dynamics is locally approximated by sufficiently accurate physical models taken from a hierarchy of…

最优化与控制 · 数学 2021-11-10 Pia Domschke , Oliver Kolb , Jens Lang

Deep Operator Networks (DeepONets) are among the most prominent frameworks for operator learning, grounded in the universal approximation theorem for operators. However, training DeepONets typically requires significant computational…

机器学习 · 计算机科学 2025-01-17 Hwijae Son

The Direct Simulation Monte Carlo (DSMC) method remains the gold standard for simulating rarefied gas flows but is prohibitively expensive for parametric and many-query applications. To address this limitation, we introduce a Deep Operator…

流体动力学 · 物理学 2025-09-23 Ehsan Roohi , Amirmehran Mahdavi

Deep neural networks are powerful tools for solving nonlinear problems in science and engineering, but training highly accurate models becomes challenging as problem complexity increases. Non-convex optimization and sensitivity to…

机器学习 · 计算机科学 2026-04-20 Ethan Mulle , Wei Kang , Qi Gong

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

The Li-ion battery is a complex physicochemical system that generally takes applied current as input and terminal voltage as output. The mappings from current to voltage can be described by several kinds of models, such as accurate but…

计算物理 · 物理学 2023-12-05 Qiang Zheng , Xiaoguang Yin , Dongxiao Zhang

We present a data-driven modeling strategy to overcome improperly modeled dynamics for systems exhibiting complex spatio-temporal behaviors. We propose a Deep Learning framework to resolve the differences between the true dynamics of the…

机器学习 · 计算机科学 2020-10-28 Maan Qraitem , Dhanushka Kularatne , Eric Forgoston , M. Ani Hsieh

Computational fluid dynamics (CFD) simulations of complex fluid flows in energy systems are prohibitively expensive due to strong nonlinearities and multiscale-multiphysics interactions. In this work, we present a transformer-based modeling…

流体动力学 · 物理学 2026-04-06 Kiran Yalamanchi , Shivam Barwey , Ibrahim Jarrah , Pinaki Pal

Today's performance analysis frameworks for deep learning accelerators suffer from two significant limitations. First, although modern convolutional neural network (CNNs) consist of many types of layers other than convolution, especially…

We develop DeepOPF as a Deep Neural Network (DNN) approach for solving security-constrained direct current optimal power flow (SC-DCOPF) problems, which are critical for reliable and cost-effective power system operation.DeepOPF is inspired…

系统与控制 · 电气工程与系统科学 2020-09-24 Xiang Pan , Tianyu Zhao , Minghua Chen , Shengyu Zhang

Deep Operator Network (DeepONet) is a neural network framework for learning nonlinear operators such as those from ordinary differential equations (ODEs) describing complex systems. Multiple-input deep neural operators (MIONet) extended…

机器学习 · 计算机科学 2023-11-30 Zhihao Kong , Amirhossein Mollaali , Christian Moya , Na Lu , Guang Lin

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

One predominant challenge in additive manufacturing (AM) is to achieve specific material properties by manipulating manufacturing process parameters during the runtime. Such manipulation tends to increase the computational load imposed on…

机器学习 · 计算机科学 2023-10-24 Mahmoud Yaseen , Dewen Yushu , Peter German , Xu Wu

This work demonstrates that neural operator learning provides a powerful and flexible framework for building fast, accurate emulators of moving boundary systems, enabling their integration into digital twin platforms. To this end, a Deep…

Complex high dimensional stochastic dynamic systems arise in many applications in the natural sciences and especially biology. However, while these systems are difficult to describe analytically, "snapshot" measurements that sample the…

机器学习 · 计算机科学 2019-12-03 Scott Gigante , David van Dijk , Kevin Moon , Alexander Strzalkowski , Guy Wolf , Smita Krishnaswamy

The highly nonlinear dynamics of vehicles present a major challenge for the practical implementation of optimal and Model Predictive Control (MPC) approaches in path planning and following. Koopman operator theory offers a global linear…

系统与控制 · 电气工程与系统科学 2026-01-30 Mohammad Abtahi , Mahdis Rabbani , Armin Abdolmohammadi , Shima Nazari

Accurate modeling of personalized cardiovascular dynamics is crucial for non-invasive monitoring and therapy planning. State-of-the-art physics-informed neural network (PINN) approaches employ deep, multi-branch architectures with…

机器学习 · 计算机科学 2025-09-23 Ryan Chappell , Chayan Banerjee , Kien Nguyen , Clinton Fookes

Deep learning (DL) has become an essential tool in prognosis and health management (PHM), commonly used as a regression algorithm for the prognosis of a system's behavior. One particular metric of interest is the remaining useful life (RUL)…

信号处理 · 电气工程与系统科学 2020-06-17 Sergio Cofre-Martel , Enrique Lopez Droguett , Mohammad Modarres

Deep learning (DL) has brought about remarkable breakthrough in processing images, video and speech due to its efficacy in extracting highly abstract representation and learning very complex functions. However, there is seldom operating…

机器学习 · 计算机科学 2021-01-01 Shen Chen , Mingwei Zhang , Jiamin Cui , Wei Yao

Deep neural networks that approximate nonlinear function-to-function mappings, i.e., operators, which are called DeepONet, have been demonstrated in recent articles to be capable of encoding entire PDE control methodologies, such as…

偏微分方程分析 · 数学 2023-08-22 Shanshan Wang , Mamadou Diagne , Miroslav Krstić