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In this work we present a hybrid physics-based and data-driven learning approach to construct surrogate models for concurrent multiscale simulations of complex material behavior. We start from robust but inflexible physics-based…

Numerical Analysis · Mathematics 2023-02-01 I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

This study proposes a new discrete neural operator for surrogate modeling of transient Darcy flow fields in heterogeneous porous media with random parameters. The new method integrates temporal encoding, operator learning and UNet to…

Numerical Analysis · Mathematics 2025-12-04 Zhenglong Chen , Zhao Zhang , Xia Yan , Jiayu Zhai , Piyang Liu , Kai Zhang

A common trend in simulation-driven engineering applications is the ever-increasing size and complexity of the problem, where classical numerical methods typically suffer from significant computational time and huge memory cost. Methods…

Computational Engineering, Finance, and Science · Computer Science 2025-10-28 Jiachen Guo , Chanwook Park , Xiaoyu Xie , Zhongsheng Sang , Gregory J. Wagner , Wing Kam Liu

Many glass products require thermoformed geometry with high precision. However, the traditional approach of developing a thermoforming process through trials and errors can cause large waste of time and resources and often end up with…

Computational Engineering, Finance, and Science · Computer Science 2025-05-07 Yuzhou Zhang , Mohan Hua , Jinan Liu , Haihui Ruan

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…

Computational Physics · Physics 2024-12-18 Jiamin Jiang , Jingrun Chen , Zhouwang Yang

Deep Gaussian processes (DGPs) are increasingly popular as predictive models in machine learning (ML) for their non-stationary flexibility and ability to cope with abrupt regime changes in training data. Here we explore DGPs as surrogates…

Methodology · Statistics 2021-08-27 Annie Sauer , Robert B. Gramacy , David Higdon

The use of deep neural network (DNN) models as surrogates for linear and nonlinear structural dynamical systems is explored. The goal is to develop DNN based surrogates to predict structural response, i.e., displacements and accelerations,…

Machine Learning · Computer Science 2021-11-05 Nan Feng , Guodong Zhang , Kapil Khandelwal

Climate control of buildings makes up a significant portion of global energy consumption, with groundwater heat pumps providing a suitable alternative. To prevent possibly negative interactions between heat pumps throughout a city, city…

Machine Learning · Computer Science 2022-03-30 Raphael Leiteritz , Kyle Davis , Miriam Schulte , Dirk Pflüger

Many imaging problems require computing spatial transformations induced by spatially varying intensity, feature, or density fields. Canonical examples include distortion correction, deformable image registration, atlas-based segmentation,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Yanwen Huang , Lok Ming Lui , Gary P. T. Choi

We present a cascaded diffusion model based on a part-level implicit 3D representation. Our model achieves state-of-the-art generation quality and also enables part-level shape editing and manipulation without any additional training in…

Computer Vision and Pattern Recognition · Computer Science 2024-03-21 Juil Koo , Seungwoo Yoo , Minh Hieu Nguyen , Minhyuk Sung

Stochastic collocation (SC) is a well-known non-intrusive method of constructing surrogate models for uncertainty quantification. In dynamical systems, SC is especially suited for full-field uncertainty propagation that characterizes the…

Numerical Analysis · Mathematics 2023-10-18 Saibal De , Reese E. Jones , Hemanth Kolla

Nowadays underwater vision systems are being widely applied in ocean research. However, the largest portion of the ocean - the deep sea - still remains mostly unexplored. Only relatively few image sets have been taken from the deep sea due…

Computer Vision and Pattern Recognition · Computer Science 2021-02-24 Yifan Song , David Nakath , Mengkun She , Furkan Elibol , Kevin Köser

We present a novel machine learning based surrogate modeling method for predicting spatially resolved 3D microstructure evolution of polycrystalline materials under uniaxial tensile loading. Our approach is orders of magnitude faster than…

Materials Science · Physics 2020-05-05 Anup Pandey , Reeju Pokharel

Traditional physics-based models of geophysical flows, such as debris flows and landslides that pose significant risks to human lives and infrastructure are computationally expensive, limiting their utility for large-scale parameter sweeps,…

Fluid Dynamics · Physics 2025-04-11 Palak Patel , Luke McGuire , Abani Patra

3D object detection plays an important role in autonomous driving and other robotics applications. However, these detectors usually require training on large amounts of annotated data that is expensive and time-consuming to collect.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-08 Jianren Wang , Haiming Gang , Siddharth Ancha , Yi-Ting Chen , David Held

Neural surrogates for Partial Differential Equations (PDEs) often suffer significant performance degradation when evaluated on problem configurations outside their training distribution, such as new initial conditions or structural…

Machine Learning · Computer Science 2026-02-11 Paul Setinek , Gianluca Galletti , Thomas Gross , Dominik Schnürer , Johannes Brandstetter , Werner Zellinger

High-performance scientific simulations, important for comprehension of complex systems, encounter computational challenges especially when exploring extensive parameter spaces. There has been an increasing interest in developing deep…

Machine Learning · Computer Science 2024-07-15 Pradeep Bajracharya , Javier Quetzalcóatl Toledo-Marín , Geoffrey Fox , Shantenu Jha , Linwei Wang

The paper addresses Bayesian inferences in inverse problems with uncertainty quantification involving a computationally expensive forward map associated with solving a partial differential equations. To mitigate the computational cost, the…

Methodology · Statistics 2023-12-18 A. Galaviz , J. A. Christen , A. Capella

Deep Learning has made a great progress for these years. However, it is still difficult to master the implement of various models because different researchers may release their code based on different frameworks or interfaces. In this…

Software Engineering · Computer Science 2017-07-28 Ting Pan

Microfluidics have shown great promise in multiple applications, especially in biomedical diagnostics and separations. While the flow properties of these microfluidic devices can be solved by numerical methods such as computational fluid…

Fluid Dynamics · Physics 2021-05-12 Quang Tuyen Le , Pao-Hsiung Chiu , Chin Chun Ooi
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