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Reduced-order modelling and system identification can help us figure out the elementary degrees of freedom and the underlying mechanisms from the high-dimensional and nonlinear dynamics of fluid flow. Machine learning has brought new…

Fluid Dynamics · Physics 2021-04-13 Nan Deng , Luc R. Pastur , Bernd R. Noack

Diffusion models have emerged as powerful generative priors for high-dimensional inverse problems, yet learning them when only corrupted or noisy observations are available remains challenging. In this work, we propose a new method for…

Machine Learning · Computer Science 2025-12-23 Danial Hosseintabar , Fan Chen , Giannis Daras , Antonio Torralba , Constantinos Daskalakis

Due to costs and practical constraints, field campaigns in the atmospheric boundary layer typically only measure a fraction of the atmospheric volume of interest. Machine learning techniques have previously successfully reconstructed…

Atmospheric and Oceanic Physics · Physics 2023-12-13 Alex Rybchuk , Malik Hassanaly , Nicholas Hamilton , Paula Doubrawa , Mitchell J. Fulton , Luis A. Martínez-Tossas

Many approaches have been proposed to use diffusion models to augment training datasets for downstream tasks, such as classification. However, diffusion models are themselves trained on large datasets, often with noisy annotations, and it…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Max F. Burg , Florian Wenzel , Dominik Zietlow , Max Horn , Osama Makansi , Francesco Locatello , Chris Russell

High-quality power flow datasets are essential for training machine learning models in power systems. However, security and privacy concerns restrict access to real-world data, making statistically accurate and physically consistent…

Machine Learning · Computer Science 2025-08-26 Milad Hoseinpour , Vladimir Dvorkin

Diffusion models (DMs) have emerged as powerful generative models for solving inverse problems, offering a good approximation of prior distributions of real-world image data. Typically, diffusion models rely on large-scale clean signals to…

Computer Vision and Pattern Recognition · Computer Science 2024-07-17 Yifei Wang , Weimin Bai , Weijian Luo , Wenzheng Chen , He Sun

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…

Diffusion models create data from noise by inverting the forward paths of data towards noise and have emerged as a powerful generative modeling technique for high-dimensional, perceptual data such as images and videos. Rectified flow is a…

Seismic full-waveform inversion is a core technology for obtaining high-resolution subsurface model parameters. However, its highly nonlinear characteristics and strong dependence on the initial model often lead to the inversion process…

Machine Learning · Computer Science 2026-03-25 Caiyun Liu , Siyang Pei , Qingfeng Yu , Jie Xiong

We present a new turbulent data reconstruction method with supervised machine learning techniques inspired by super resolution and inbetweening, which can recover high-resolution turbulent flows from grossly coarse flow data in space and…

Fluid Dynamics · Physics 2021-01-25 Kai Fukami , Koji Fukagata , Kunihiko Taira

Diffusion models have emerged as powerful generative tools for modeling complex data distributions, yet their purely data-driven nature limits applicability in practical engineering and scientific problems where physical laws need to be…

Obtaining system parameters and reconstructing the full flow state from limited velocity observations using conventional fluid dynamics solvers can be prohibitively expensive. Here we employ machine learning algorithms to overcome the…

Fluid Dynamics · Physics 2024-10-17 Vladimir Parfenyev , Mark Blumenau , Ilia Nikitin

We present the first diffusion-based framework that can learn an unknown distribution using only highly-corrupted samples. This problem arises in scientific applications where access to uncorrupted samples is impossible or expensive to…

Machine Learning · Computer Science 2023-05-31 Giannis Daras , Kulin Shah , Yuval Dagan , Aravind Gollakota , Alexandros G. Dimakis , Adam Klivans

Accurate and efficient fluid flow models are essential for applications relating to many physical phenomena including geophysical, aerodynamic, and biological systems. While these flows may exhibit rich and multiscale dynamics, in many…

Fluid Dynamics · Physics 2024-08-27 Benjamin D. Shaffer , Jeremy R. Vorenberg , M. Ani Hsieh

In this work, we aimed to replicate and extend the results presented in the DiffFluid paper[1]. The DiffFluid model showed that diffusion models combined with Transformers are capable of predicting fluid dynamics. It uses a denoising…

Fluid Dynamics · Physics 2025-07-14 Yannick Gachnang , Vismay Churiwala

Physical systems with complex unsteady dynamics, such as fluid flows, are often poorly represented by a single mean solution. For many practical applications, it is crucial to access the full distribution of possible states, from which…

Computational Physics · Physics 2025-04-07 Mario Lino , Tobias Pfaff , Nils Thuerey

Geographical, physical, or economic constraints often result in missing traces within seismic data, making the reconstruction of complete seismic data a crucial step in seismic data processing. Traditional methods for seismic data…

Machine Learning · Computer Science 2024-09-20 Shuang Wang , Fei Deng , Peifan Jiang , Zishan Gong , Xiaolin Wei , Yuqing Wang

Mesh reconstruction from multi-view images is a fundamental problem in computer vision, but its performance degrades significantly under sparse-view conditions, especially in unseen regions where no ground-truth observations are available.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-28 Haoyang Wang , Liming Liu , Peiheng Wang , Junlin Hao , Jiangkai Wu , Xinggong Zhang

Diffusion models have attained remarkable success in the domains of image generation and editing. It is widely recognized that employing larger inversion and denoising steps in diffusion model leads to improved image reconstruction quality.…

Computer Vision and Pattern Recognition · Computer Science 2024-01-05 Chen Hou , Guoqiang Wei , Zhibo Chen

Image restoration aims to enhance low quality images, producing high quality images that exhibit natural visual characteristics and fine semantic attributes. Recently, the diffusion model has emerged as a powerful technique for image…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Jiangtong Tan , Feng Zhao