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This paper presents a novel approach for sparse 3D reconstruction by leveraging the expressive power of Neural Radiance Fields (NeRFs) and fast transfer of their features to learn accurate occupancy fields. Existing 3D reconstruction…

计算机视觉与模式识别 · 计算机科学 2024-10-01 Shubhendu Jena , Franck Multon , Adnane Boukhayma

Reconstructing high-fidelity fluid flow fields from sparse sensor measurements is vital for many science and engineering applications but remains challenging because of dimensional disparities between state and observational spaces. Due to…

流体动力学 · 物理学 2025-12-11 Hiep Vo Dang , Phong C. H. Nguyen

Many applications in computational and experimental fluid mechanics require effective methods for reconstructing the flow fields from limited sensor data. However, this task remains a significant challenge because the measurement operator,…

流体动力学 · 物理学 2024-11-22 Phong C. H. Nguyen , Joseph B. Choi , Quang-Trung Luu

During the curing process of composites, the temperature history heavily determines the evolutions of the field of degree of cure as well as the residual stress, which will further influence the mechanical properties of composite, thus it…

材料科学 · 物理学 2021-11-22 Gengxiang Chen , Yingguang Li , Xu liu , Qinglu Meng , Jing Zhou , Xiaozhong Hao

Reliably reconstructing physical fields from sparse sensor data is a challenge that frequently arises in many scientific domains. In practice, the process generating the data often is not understood to sufficient accuracy. Therefore, there…

机器学习 · 计算机科学 2024-01-23 Xihaier Luo , Wei Xu , Yihui Ren , Shinjae Yoo , Balu Nadiga

Physical field reconstruction is highly desirable for the measurement and control of engineering systems. The reconstruction of the temperature field from limited observation plays a crucial role in thermal management for electronic…

机器学习 · 计算机科学 2022-01-27 Xingwen Peng , Xingchen Li , Zhiqiang Gong , Xiaoyu Zhao , Wen Yao

In many applications, it is important to reconstruct a fluid flow field, or some other high-dimensional state, from limited measurements and limited data. In this work, we propose a shallow neural network-based learning methodology for such…

Reconstructing flow fields from sparse measurements is a fundamental problem in fluid mechanics with broad implications for modeling, control, and design. In this work, we propose a novel operator learning framework that leverages the…

计算工程、金融与科学 · 计算机科学 2026-05-25 Qian Zhang , George Em Karniadakis

Efficient onboard multi-field sparse reconstruction is essential for the autonomous operation of aerospace vehicles. While existing deep learning models exhibit promise for single-field reconstruction, deploying multiple independent models…

机器学习 · 计算机科学 2026-05-27 Siyu Ye , Shihang Li , Zhiqiang Gong , Benrong Zhang , Weien Zhou , Yiyong Huang , Wen Yao

Reconstructing high-resolution turbulent flow fields from severely under-resolved observations is a fundamental inverse problem in computational fluid dynamics and scientific machine learning. Classical interpolation methods fail to recover…

机器学习 · 计算机科学 2026-03-31 Muhammad Abid , Omer San

Fourier Neural Operators (FNOs) have demonstrated exceptional accuracy in mapping functional spaces by leveraging Fourier transforms to establish a connection with underlying physical principles. However, their opaque inner workings often…

流体动力学 · 物理学 2025-11-04 Marco Cayuela , Vincent Le Chenadec , Peter Schmid , Taraneh Sayadi

Accurately reconstructing a global spatial field from sparse data has been a longstanding problem in several domains, such as Earth Sciences and Fluid Dynamics. Historically, scientists have approached this problem by employing complex…

计算机视觉与模式识别 · 计算机科学 2024-08-23 Robert Sunderhaft , Logan Frank , Jim Davis

Sensing the fluid flow around an arbitrary geometry entails extrapolating from the physical quantities perceived at its surface in order to reconstruct the features of the surrounding fluid. This is a challenging inverse problem, yet one…

计算工程、金融与科学 · 计算机科学 2023-01-10 Gregory Duthé , Imad Abdallah , Sarah Barber , Eleni Chatzi

Accurate short-term predictions of phase-resolved water wave conditions are crucial for decision-making in ocean engineering. However, the initialization of remote-sensing-based wave prediction models first requires a reconstruction of wave…

Density functional theory (DFT) is a cornerstone of computational chemistry and materials science, but its computational cost limits its use in large-scale and high-throughput applications. While machine learning has accelerated energy…

化学物理 · 物理学 2026-03-18 Yingdi Jin , Xinming Qin , Ruichen Liu , Jie Liu , Zhenyu Li , Jinlong Yang

Lensless cameras based on thin diffusers offer a compact alternative to conventional refractive imaging but rely on computational reconstruction, since the diffuser's point spread function (PSF) globally multiplexes every scene point across…

光学 · 物理学 2026-04-20 Kerem Ekec , Uğur Teğin

Fourier Neural Operators (FNO) offer a principled approach to solving challenging partial differential equations (PDE) such as turbulent flows. At the core of FNO is a spectral layer that leverages a discretization-convergent representation…

机器学习 · 计算机科学 2024-03-06 Robert Joseph George , Jiawei Zhao , Jean Kossaifi , Zongyi Li , Anima Anandkumar

This paper investigates the temporal evolution of high-speed compressible fluids in irregular flow fields using the Fourier Neural Operator (FNO). We reconstruct the irregular flow field point set into sequential format compatible with FNO…

流体动力学 · 物理学 2026-01-06 Yifan Nie , Qiaoxin Li

Neural operators are a new type of models that can map between function spaces, allowing trained models to emulate the solution operators of partial differential equations (PDEs). This paper proposes a multigrid Fourier neural operator…

数值分析 · 数学 2025-05-22 Zi-Hao Guo , Hou-Biao Li

Neural implicit surface representations are currently receiving a lot of interest as a means to achieve high-fidelity surface reconstruction at a low memory cost, compared to traditional explicit representations.However, state-of-the-art…

机器人学 · 计算机科学 2024-09-20 Shuo Sun , Malcolm Mielle , Achim J. Lilienthal , Martin Magnusson
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