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Highly accurate numerical or physical experiments are often time-consuming or expensive to obtain. When time or budget restrictions prohibit the generation of additional data, the amount of available samples may be too limited to provide…

数值分析 · 数学 2021-12-22 Mengwu Guo , Andrea Manzoni , Maurice Amendt , Paolo Conti , Jan S. Hesthaven

Many physics and engineering applications demand Partial Differential Equations (PDE) property evaluations that are traditionally computed with resource-intensive high-fidelity numerical solvers. Data-driven surrogate models provide an…

机器学习 · 计算机科学 2023-12-18 Raphaël Pestourie , Youssef Mroueh , Chris Rackauckas , Payel Das , Steven G. Johnson

Reliable long-horizon prediction remains a challenge for data-driven CFD surrogates, because offline-trained models accumulate autoregressive errors and lose accuracy when operating conditions change. This work develops a divergence-aware…

流体动力学 · 物理学 2026-05-26 Xiangrui Zou , Zhuoqun Zhao , Guillermo Barragán , Soledad Le Clainche

This paper presents a physics and data co-driven surrogate modeling method for efficient rare event simulation of civil and mechanical systems with high-dimensional input uncertainties. The method fuses interpretable low-fidelity physical…

统计计算 · 统计学 2024-05-10 Jianhua Xian , Ziqi Wang

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

Super-resolution is widely used in medical imaging to enhance low-quality data, reducing scan time and improving abnormality detection. Conventional super-resolution approaches typically rely on paired datasets of downsampled and original…

计算机视觉与模式识别 · 计算机科学 2026-02-18 Xiaoyi Wen , Fei Jiang

The study of complex systems is often based on computationally intensive, high-fidelity, simulations. To build confidence in the prediction accuracy of such simulations, the impact of uncertainties in model inputs on the quantities of…

计算物理 · 物理学 2018-01-19 Lluis Jofre , Gianluca Geraci , Hillary Fairbanks , Alireza Doostan , Gianluca Iaccarino

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

最优化与控制 · 数学 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

3D Gaussian Splatting (3DGS) enables high-fidelity real-time rendering, a key requirement for immersive applications. However, the extension of 3DGS to dynamic scenes remains limitations on the substantial data volume of dense Gaussians and…

计算机视觉与模式识别 · 计算机科学 2025-09-01 Jiayu Yang , Weijian Su , Songqian Zhang , Yuqi Han , Jinli Suo , Qiang Zhang

The reconstruction of unsteady flow fields from limited measurements is a challenging and crucial task for many engineering applications. Machine learning models are gaining popularity for solving this problem due to their ability to learn…

流体动力学 · 物理学 2026-01-09 Marc Amorós-Trepat , Luis Medrano-Navarro , Qiang Liu , Luca Guastoni , Nils Thuerey

Computational models are utilized in many scientific domains to simulate complex systems. Sensitivity analysis is an important practice to aid our understanding of the mechanics of these models and the processes they describe, but…

统计方法学 · 统计学 2022-08-12 Massimo Aufiero , Lucas Janson

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

Building design optimization often depends on physics-based simulation tools such as EnergyPlus, which, although accurate, are computationally expensive and slow. Surrogate models provide a faster alternative, yet most are…

机器学习 · 计算机科学 2026-03-13 Piragash Manmatharasan , Girma Bitsuamlak , Katarina Grolinger

Phase-field models of liquid metal dealloying (LMD) can resolve rich microstructural dynamics but become intractable for large domains or long time horizons. We present a conditionally parameterized, fully convolutional U-Net surrogate that…

计算工程、金融与科学 · 计算机科学 2025-09-26 Christophe Bonneville , Nathan Bieberdorf , Pieterjan Robbe , Mark Asta , Habib N. Najm , Laurent Capolungo , Cosmin Safta

Phase-field modeling is an effective but computationally expensive method for capturing the mesoscale morphological and microstructure evolution in materials. Hence, fast and generalizable surrogate models are needed to alleviate the cost…

The accuracy of coarse-grained continuum models of dense granular flows is limited by the lack of high-fidelity closure models for granular rheology. One approach to addressing this issue, referred to as the hierarchical multiscale method,…

软凝聚态物质 · 物理学 2025-09-30 B. Siddani , Weiqun Zhang , Andrew Nonaka , John Bell , Ishan Srivastava

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

Numerical simulation of multi-phase fluid dynamics in porous media is critical to a variety of geoscience applications. Data-driven surrogate models using Convolutional Neural Networks (CNNs) have shown promise but are constrained to…

计算物理 · 物理学 2024-12-18 Jiamin Jiang , Jingrun Chen , Zhouwang Yang

Objective: Deep learning-based deformable image registration has achieved strong accuracy, but remains sensitive to variations in input image characteristics such as artifacts, field-of-view mismatch, or modality difference. We aim to…

计算机视觉与模式识别 · 计算机科学 2025-09-15 Yihao Liu , Junyu Chen , Lianrui Zuo , Shuwen Wei , Brian D. Boyd , Carmen Andreescu , Olusola Ajilore , Warren D. Taylor , Aaron Carass , Bennett A. Landman

Machine learning-based models provide a promising way to rapidly acquire transonic swept wing flow fields but suffer from large computational costs in establishing training datasets. Here, we propose a physics-embedded transfer learning…

流体动力学 · 物理学 2024-10-15 Yunjia Yang , Runze Li , Yufei Zhang , Lu Lu , Haixin Chen
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