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Atomic-scale manipulation in scanning tunneling microscopy has enabled the creation of quantum states of matter based on artificial structures and extreme miniaturization of computational circuitry based on individual atoms. The ability to…

介观与纳米尺度物理 · 物理学 2024-12-18 I-Ju Chen , Markus Aapro , Abraham Kipnis , Alexander Ilin , Peter Liljeroth , Adam S. Foster

We present an efficient data-driven regression approach for constructing reduced-order models (ROMs) of reaction-diffusion systems exhibiting pattern formation. The ROMs are learned non-intrusively from available training data of physically…

斑图形成与孤子 · 物理学 2025-08-12 Alessandro Alla , Rudy Geelen , Hannah Lu

Nowadays, interest in combining mathematical knowledge about phenomena and data from the physical system is growing. Past research was devoted to developing so-called high-fidelity models, intending to make them able to catch most of the…

数值分析 · 数学 2025-02-20 Stefano Riva , Carolina Introini , Antonio Cammi

In this work, we address the challenge of efficiently modeling dynamical systems in process engineering. We use reduced-order model learning, specifically operator inference. This is a non-intrusive, data-driven method for learning…

Many advances that have improved the robustness and efficiency of deep reinforcement learning (RL) algorithms can, in one way or another, be understood as introducing additional objectives or constraints in the policy optimization step.…

A multi-fidelity framework is established and demonstrated for prediction of combustion instabilities in rocket engines. The major idea is to adapt appropriate fidelity modeling approaches for different components in a rocket engine to…

流体动力学 · 物理学 2019-05-31 Jiayang Xu , Cheng Huang , Karthik Duraisamy

The numerical simulation of electromagnetic transients in fusion devices is essential for analyzing plasma stability and disruptive events. However, it remains computationally demanding due to the large-scale dense systems arising from…

数值分析 · 数学 2026-05-28 Salvatore Ventre

Advanced model-based controllers are well established in process industries. However, such controllers require regular maintenance to maintain acceptable performance. It is a common practice to monitor controller performance continuously…

系统与控制 · 电气工程与系统科学 2020-04-14 Steven Spielberg , Aditya Tulsyan , Nathan P. Lawrence , Philip D Loewen , R. Bhushan Gopaluni

In this work, the dual-weighted residual (DWR) method is applied to obtain a certified incremental proper orthogonal decomposition (POD) based reduced order model. A novel approach called MORe DWR (Model Order Rduction with Dual-Weighted…

数值分析 · 数学 2023-04-04 Hendrik Fischer , Julian Roth , Thomas Wick , Ludovic Chamoin , Amelie Fau

Deep reinforcement learning (RL) is a data-driven method capable of discovering complex control strategies for high-dimensional systems, making it promising for flow control applications. In particular, the present work is motivated by the…

机器学习 · 计算机科学 2022-11-23 Kevin Zeng , Alec J. Linot , Michael D. Graham

In this work, a new hybrid predictive Reduced Order Model (ROM) is proposed to solve reacting flow problems. This algorithm is based on a dimensionality reduction using Proper Orthogonal Decomposition (POD) combined with deep learning…

机器学习 · 计算机科学 2023-01-25 Adrián Corrochano , Rodolfo S. M. Freitas , Alessandro Parente , Soledad Le Clainche

We propose a method to construct a reduced order model with machine learning for unsteady flows. The present machine-learned reduced order model (ML-ROM) is constructed by combining a convolutional neural network autoencoder (CNN-AE) and a…

流体动力学 · 物理学 2020-10-26 Kazuto Hasegawa , Kai Fukami , Takaaki Murata , Koji Fukagata

The coupling of Proper Orthogonal Decomposition (POD) and deep learning-based ROMs (DL-ROMs) has proved to be a successful strategy to construct non-intrusive, highly accurate, surrogates for the real time solution of parametric nonlinear…

数值分析 · 数学 2024-05-15 Simone Brivio , Stefania Fresca , Andrea Manzoni

Complex mechanical systems often exhibit strongly nonlinear behavior due to the presence of nonlinearities in the energy dissipation mechanisms, material constitutive relationships, or geometric/connectivity mechanics. Numerical modeling of…

计算工程、金融与科学 · 计算机科学 2024-04-09 Harsh Sharma , David A. Najera-Flores , Michael D. Todd , Boris Kramer

This article proposes a model-based deep reinforcement learning (DRL) method to design emergency control strategies for short-term voltage stability problems in power systems. Recent advances show promising results in model-free DRL-based…

系统与控制 · 电气工程与系统科学 2022-12-07 Ramij R. Hossain , Tianzhixi Yin , Yan Du , Renke Huang , Jie Tan , Wenhao Yu , Yuan Liu , Qiuhua Huang

In distributed optimization, the practical problem-solving performance is essentially sensitive to algorithm selection, parameter setting, problem type and data pattern. Thus, it is often laborious to acquire a highly efficient method for a…

最优化与控制 · 数学 2024-01-04 Daokuan Zhu , Tianqi Xu , Jie Lu

Model predictive controllers use dynamics models to solve constrained optimal control problems. However, computational requirements for real-time control have limited their use to systems with low-dimensional models. Nevertheless,…

系统与控制 · 电气工程与系统科学 2024-10-30 Joseph Lorenzetti , Andrew McClellan , Charbel Farhat , Marco Pavone

With the success of offline reinforcement learning (RL), offline trained RL policies have the potential to be further improved when deployed online. A smooth transfer of the policy matters in safe real-world deployment. Besides, fast…

机器学习 · 计算机科学 2022-01-26 Yihuan Mao , Chao Wang , Bin Wang , Chongjie Zhang

This paper presents a physics-informed machine learning (ML) framework to construct reduced-order models (ROMs) for reactive-transport quantities of interest (QoIs) based on high-fidelity numerical simulations. QoIs include species decay,…

计算工程、金融与科学 · 计算机科学 2019-09-15 M. K. Mudunuru , S. Karra

A nonlinear-manifold reduced order model (NM-ROM) is a great way of incorporating underlying physics principles into a neural network-based data-driven approach. We combine NM-ROMs with domain decomposition (DD) for efficient computation.…

数值分析 · 数学 2023-12-04 Alejandro N. Diaz , Youngsoo Choi , Matthias Heinkenschloss