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相关论文: Enhancing Multiscale Simulations with Constitutive…

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This paper proposes a machine-learning-based solution approach for solving multi-horizon stochastic programs. The approach embeds a deep learning neural network into a multi-horizon stochastic program to approximate the recourse operational…

最优化与控制 · 数学 2025-12-03 Hongyu Zhang , Gabriele Sormani , Enza Messina , Alan King , Francesca Maggioni

Surrogate models are often used as computationally efficient approximations to complex simulation models, enabling tasks such as solving inverse problems, sensitivity analysis, and probabilistic forward predictions, which would otherwise be…

机器学习 · 统计学 2026-05-13 Philipp Reiser , Paul-Christian Bürkner , Anneli Guthke

In recent years, there has been a growing interest in using machine learning to overcome the high cost of numerical simulation, with some learned models achieving impressive speed-ups over classical solvers whilst maintaining accuracy.…

机器学习 · 计算机科学 2022-10-04 Meire Fortunato , Tobias Pfaff , Peter Wirnsberger , Alexander Pritzel , Peter Battaglia

Convection-dominated problems are known for their slow Kolmogorov $n$-width decays and are challenging for model order reduction (MOR). In this work, we propose a hybrid surrogate modeling approach and a non-intrusive variant that overcome…

动力系统 · 数学 2026-05-29 Lihong Feng , Ali Hassan , Shuwen Sun

Predicting nutrient transport and salinity distribution is crucial for mitigating climate-related threats to agromaritime systems. Traditional PDE-based models can capture the physics of nutrient dispersion, salinity and water quality.…

数值分析 · 数学 2026-04-24 Muhammad Ilyas

This work is directed to uncertainty quantification of homogenized effective properties for composite materials with complex, three dimensional microstructure. The uncertainties arise in the material parameters of the single constituents as…

机器学习 · 计算机科学 2021-10-27 Alexander Henkes , Ismail Caylak , Rolf Mahnken

High-fidelity numerical simulations of chaotic, high dimensional nonlinear dynamical systems are computationally expensive, necessitating the development of efficient surrogate models. Most surrogate models for such systems are…

机器学习 · 计算机科学 2026-03-16 Dibyajyoti Chakraborty , Hojin Kim , Romit Maulik

A long-standing challenge is designing multi-scale structures with good connectivity between cells while optimizing each cell to reach close to the theoretical performance limit. We propose a new method for direct multi-scale topology…

神经与进化计算 · 计算机科学 2025-02-21 Hongrui Chen , Xingchen Liu , Levent Burak Kara

Surrogate models provide compact relations between user-defined input parameters and output quantities of interest, enabling the efficient evaluation of complex parametric systems in many-query settings. Such capabilities are essential in a…

数值分析 · 数学 2026-03-16 Matteo Giacomini , Pedro Díez

Embedding physical knowledge into neural network (NN) training has been a hot topic. However, when facing the complex real-world, most of the existing methods still strongly rely on the quantity and quality of observation data. Furthermore,…

流体动力学 · 物理学 2024-11-20 Dashan Zhang , Yuntian Chen , Shiyi Chen

Effective properties of materials with random heterogeneous structures are typically determined by homogenising the mechanical quantity of interest in a window of observation. The entire problem setting encompasses the solution of a local…

数值分析 · 数学 2021-10-22 Felipe Rocha , Simone Deparis , Pablo Antolin , Annalisa Buffa

The ubiquity of fluids in the physical world explains the need to accurately simulate their dynamics for many scientific and engineering applications. Traditionally, well established but resource intensive CFD solvers provide such…

机器学习 · 计算机科学 2021-12-21 Lucas Meyer , Louen Pottier , Alejandro Ribes , Bruno Raffin

Surrogate neural network-based models have been lately trained and used in a variety of science and engineering applications where the number of evaluations of a target function is limited by execution time. In cell phone camera systems,…

计算工程、金融与科学 · 计算机科学 2022-06-29 Shantanu Shahane , Erman Guleryuz , Diab W Abueidda , Allen Lee , Joe Liu , Xin Yu , Raymond Chiu , Seid Koric , Narayana R Aluru , Placid M Ferreira

Operator learning enables fast surrogate modeling of high-dimensional dynamical systems, but existing approaches face two fundamental limitations: quadratic inference complexity and unreliable uncertainty quantification in safety-critical…

机器学习 · 计算机科学 2026-05-04 Purav Matlia , Christian Moya , Guang Lin

Real-time thermal-hydraulic simulation is essential for digital twin (DT) technology that supports the safe and efficient operation of small modular reactors (SMRs). Computational fluid dynamics (CFD) provides high-fidelity flow analysis,…

机器学习 · 计算机科学 2026-05-29 Minseo Lee , Seongmin Oh , Chaehyeon Song , Bumjin Cho , Shilaj Baral , Sangam Khanal , Minseop Song , Joongoo Jeon

Reliable multiscale models of thrombosis require platelet-scale fidelity at organ-scale cost, a gap that scientific machine learning has the potential to narrow. We train a DeepONet surrogate on platelet dynamics generated with LAMMPS for…

流体动力学 · 物理学 2025-06-26 Marco Laudato

The data-centric construction of inexpensive surrogates for fine-grained, physical models has been at the forefront of computational physics due to its significant utility in many-query tasks such as uncertainty quantification. Recent…

机器学习 · 统计学 2021-03-17 Maximilian Rixner , Phaedon-Stelios Koutsourelakis

Decades of progress in simulation-based surrogate-assisted optimization and unprecedented growth in computational power have enabled researchers and practitioners to optimize previously intractable complex engineering problems. This paper…

神经与进化计算 · 计算机科学 2022-12-14 Qi Huang , Roy de Winter , Bas van Stein , Thomas Bäck , Anna V. Kononova

While the prediction of AC losses during transients is critical for designing large-scale low-temperature superconducting (LTS) magnets, brute-force finite-element (FE) simulation of their detailed geometry down to the length scale of the…

Surrogate models are used to alleviate the computational burden in engineering tasks, which require the repeated evaluation of computationally demanding models of physical systems, such as the efficient propagation of uncertainties. For…

机器学习 · 统计学 2022-09-28 Felix Schneider , Iason Papaioannou , Gerhard Müller