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The optimization of geometries for aerodynamic design often relies on a large number of expensive simulations to evaluate and iteratively improve the geometries. It is possible to reduce the number of simulations by providing a starting…

Computational Engineering, Finance, and Science · Computer Science 2024-09-23 Thomas Wagenaar , Simone Mancini , Andrés Mateo-Gabín

High-dimensional images, known for their rich semantic information, are widely applied in remote sensing and other fields. The spatial information in these images reflects the object's texture features, while the spectral information…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Daixun Li , Weiying Xie , Jiaqing Zhang , Yunsong Li

The modern aerodynamic optimization has a strong demand for parametric methods with high levels of intuitiveness, flexibility, and representative accuracy, which cannot be fully achieved through traditional airfoil parametric techniques. In…

Fluid Dynamics · Physics 2023-05-08 Hairun Xie , Jing Wang , Miao Zhang

The field of numerical simulation is of significant importance for the design and management of real-world systems, with partial differential equations (PDEs) being a commonly used mathematical modeling tool. However, solving PDEs remains…

Machine Learning · Computer Science 2023-06-21 Wenzhuo Liu , Mouadh Yagoubi , Marc Schoenauer

In order to obtain the information about flow field, traditional computational fluid dynamics methods need to solve the Navier-Stokes equations on the mesh with boundary conditions, which is a time-consuming task. In this work, a…

Fluid Dynamics · Physics 2022-07-05 Kuijun Zuo , Shuhui Bu , Weiwei Zhang , Jiawei Hu , Zhengyin Ye , Xianxu Yuan

The aerodynamic optimization process of cars requires multiple iterations between aerodynamicists and stylists. Response Surface Modeling and Reduced-Order Modeling are commonly used to eliminate the overhead due to Computational Fluid…

Computational Engineering, Finance, and Science · Computer Science 2022-05-26 Sam Jacob Jacob , Markus Mrosek , Carsten Othmer , Harald Köstler

Point cloud completion seeks to recover geometrically consistent shapes from partial or sparse 3D observations. Although recent methods have achieved reasonable global shape reconstruction, they often rely on Euclidean proximity and…

Computer Vision and Pattern Recognition · Computer Science 2025-12-08 Jianan Sun , Dongzhihan Wang , Mingyu Fan

Data-driven Riemannian geometry has emerged as a powerful tool for interpretable representation learning, offering improved efficiency in downstream tasks. Moving forward, it is crucial to balance cheap manifold mappings with efficient…

Machine Learning · Computer Science 2025-05-26 Willem Diepeveen , Georgios Batzolis , Zakhar Shumaylov , Carola-Bibiane Schönlieb

Artificial intelligence techniques are considered an effective means to accelerate flow field simulations. However, current deep learning methods struggle to achieve generalization to flow field resolutions while ensuring computational…

Fluid Dynamics · Physics 2024-05-15 Kuijun Zuo , Zhengyin Ye , Linyang Zhu , Xianxu Yuan , Weiwei Zhang

Computational fluid dynamics plays a key role in the design process across many industries. Recently, there has been increasing interest in data-driven methods, in order to exploit the large volume of data generated by such computations.…

Fluid Dynamics · Physics 2021-12-22 Ashley Scillitoe , Pranay Seshadri , Chun Yui Wong , Andrew B. Duncan

Multi-satellite, multi-modality in-orbit fusion is a challenging task as it explores the fusion representation of complex high-dimensional data under limited computational resources. Deep neural networks can reveal the underlying…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 DaiXun Li , Weiying Xie , Yunsong Li , Leyuan Fang

In this paper, we present a new method for few-sample supervised feature selection (FS). Our method first learns the manifold of the feature space of each class using kernels capturing multi-feature associations. Then, based on Riemannian…

Machine Learning · Statistics 2022-07-19 David Cohen , Tal Shnitzer , Yuval Kluger , Ronen Talmon

We introduce an adjoint-based aerodynamic shape optimization framework that integrates a diffusion model trained on existing designs to learn a smooth manifold of aerodynamically viable shapes. This manifold is enforced as an equality…

Computational Engineering, Finance, and Science · Computer Science 2025-08-01 Long Chen , Emre Oezkaya , Jan Rottmayer , Nicolas R. Gauger , Zebang Shen , Yinyu Ye

Airfoil shape optimization plays a critical role in the design of high-performance aircraft. However, the high-dimensional nature of airfoil representation causes the challenging problem known as the "curse of dimensionality". To overcome…

Machine Learning · Computer Science 2023-11-21 Yu-Eop Kang , Dawoon Lee , Kwanjung Yee

The precision of shape representation and the dimensionality of the design space significantly influence the cost and outcomes of aerodynamic optimization. The design space can be represented more compactly by maintaining geometric…

Optimization and Control · Mathematics 2025-04-03 Junlin Li , Yang Zhang , Bo Pang , Junqiang Bai , Jiakuan Xu

The aerodynamic design of modern civil aircraft requires a true sense of intelligence since it requires a good understanding of transonic aerodynamics and sufficient experience. Reinforcement learning is an artificial general intelligence…

Computational Engineering, Finance, and Science · Computer Science 2021-09-21 Runze Li , Yufei Zhang , Haixin Chen

Transformer models have consistently achieved remarkable results in various domains such as natural language processing and computer vision. However, despite ongoing research efforts to better understand these models, the field still lacks…

Machine Learning · Computer Science 2024-10-18 Ilya Kaufman , Omri Azencot

Multimodal deep learning methods capture synergistic features from multiple modalities and have the potential to improve accuracy for stress detection compared to unimodal methods. However, this accuracy gain typically comes from high…

Computer Vision and Pattern Recognition · Computer Science 2024-03-14 Morteza Bodaghi , Majid Hosseini , Raju Gottumukkala

The field of scientific machine learning and its applications to numerical analyses such as CFD has recently experienced a surge in interest. While its viability has been demonstrated in different domains, it has not yet reached a level of…

Fluid Dynamics · Physics 2025-03-19 Giuseppe Bruni , Sepehr Maleki , Senthil K Krishnababu

In this work we present an advanced computational pipeline for the approximation and prediction of the lift coefficient of a parametrized airfoil profile. The non-intrusive reduced order method is based on dynamic mode decomposition (DMD)…

Numerical Analysis · Mathematics 2020-11-23 Marco Tezzele , Nicola Demo , Giovanni Stabile , Andrea Mola , Gianluigi Rozza