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Reconstructing fields from sparsely observed data is an ill-posed problem that arises in many engineering and science applications. Here, we investigate the use of physics-informed neural networks (PINNs) to reconstruct complete…

Fluid Dynamics · Physics 2024-10-11 Nagahiro Ohashi , Leslie K. Hwang , Beomjin Kwon

Physics-informed neural networks (PINNs) have recently emerged as a promising alternative for extracting unknown quantities from experimental data. Despite this potential, much of the recent literature has relied on sparse, high-fidelity…

Fluid Dynamics · Physics 2026-01-09 Christian Toma , Bharathram Ganapathisubramani , Sean Symon

Sparse-view computed tomography (CT) is a practical solution to reduce radiation dose, but the resulting ill-posed inverse problem poses significant challenges for accurate image reconstruction. Although deep learning and diffusion-based…

Image and Video Processing · Electrical Eng. & Systems 2025-06-10 Changsheng Fang , Yongtong Liu , Bahareh Morovati , Shuo Han , Yu Shi , Li Zhou , Shuyi Fan , Hengyong Yu

Physics-constrained neural networks are commonly employed to enhance prediction robustness compared to purely data-driven models, achieved through the inclusion of physical constraint losses during the model training process. However, one…

Machine Learning · Computer Science 2024-02-06 Hao Zhou , Sibo Cheng , Rossella Arcucci

Traditional computational fluid dynamics and physics-informed neural networks (PINNs) often suffer from high computational cost, mesh sensitivity, and reduced accuracy for strongly nonlinear and time-dependent flows. To address these…

Fluid Dynamics · Physics 2026-05-21 Biswanath Barman , Debdeep Chatterjee , Rajendra K. Ray

Recently, computational modeling has shifted towards the use of deep learning, and other data-driven modeling frameworks. Although this shift in modeling holds promise in many applications like design optimization and real-time control by…

Fluid Dynamics · Physics 2021-10-11 Suraj Pawar , Omer San , Prakash Vedula , Adil Rasheed , Trond Kvamsdal

We revisit the problem of physics-informed regression, and propose a method that directly computes the state at the prediction point, simultaneously with the derivative and curvature information of the existing samples. We frame each…

Optimization and Control · Mathematics 2025-12-16 Lorenzo Sabug , Eric Kerrigan

This study employs physics-informed neural networks (PINNs) to reconstruct multiple flow fields in a transient natural convection system solely based on instantaneous temperature data at an arbitrary moment. Transient convection problems…

Fluid Dynamics · Physics 2024-10-11 Nagahiro Ohashi , Nam Phuong Nguyen , Leslie K. Hwang , Beomjin Kwon

We propose a novel denoising diffusion generative model for predicting nonlinear fluid fields named FluidDiff. By performing a diffusion process, the model is able to learn a complex representation of the high-dimensional dynamic system,…

Machine Learning · Computer Science 2023-01-31 Gefan Yang , Stefan Sommer

Accurate subsurface reservoir pressure control is extremely challenging due to geological heterogeneity and multiphase fluid-flow dynamics. Predicting behavior in this setting relies on high-fidelity physics-based simulations that are…

Machine Learning · Computer Science 2025-08-28 Harun Ur Rashid , Aleksandra Pachalieva , Daniel O'Malley

We propose an unsupervised anomaly detection approach based on a physics-informed diffusion model for multivariate time series data. Over the past years, diffusion model has demonstrated its effectiveness in forecasting, imputation,…

Machine Learning · Computer Science 2025-08-18 Juhi Soni , Markus Lange-Hegermann , Stefan Windmann

One of the bottlenecks in robotic intelligence is the instability of neural network models, which, unlike control models, lack a well-defined convergence domain and stability. This leads to risks when applying intelligence in the physical…

Robotics · Computer Science 2025-03-20 Zihao Liu , Xing Liu , Yizhai Zhang , Zhengxiong Liu , Panfeng Huang

Complex degradations like noise, blur, and low resolution are typical challenges in real world image fusion tasks, limiting the performance and practicality of existing methods. End to end neural network based approaches are generally…

Computer Vision and Pattern Recognition · Computer Science 2026-04-13 Yu Shi , Yu Liu , Zhong-Cheng Wu , Juan Cheng , Huafeng Li , Xun Chen

In this study, we utilize the emerging Physics Informed Neural Networks (PINNs) approach for the first time to predict the flow field of a compressor cascade. Different from conventional training methods, a new adaptive learning strategy…

Machine Learning · Computer Science 2024-05-08 Zhihui Li , Francesco Montomoli , Sanjiv Sharma

Diffusionmodels(DMs)havedemonstratedremarkableachievements in synthesizing images of high fidelity and diversity. However, the extensive computational requirements and slow generative speed of diffusion models have limited their widespread…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Jiaojiao Ye , Zhen Wang , Linnan Jiang

Physics-based models of dynamical systems are often used to study engineering and environmental systems. Despite their extensive use, these models have several well-known limitations due to simplified representations of the physical…

Machine Learning · Computer Science 2020-09-15 Xiaowei Jia , Jared Willard , Anuj Karpatne , Jordan S Read , Jacob A Zwart , Michael Steinbach , Vipin Kumar

Light-field microscopy (LFM) enables single-shot capture of multi-angular information from biological samples, supporting real-time volumetric imaging. However, traditional physics-based algorithms often suffer from limited spatial…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Qihong Zhao , Shaokang Yan , Zhimin Qiao , Jinjia Wang , Bo Xiong

In this study, a deep learning-based approach is applied with the aim of reconstructing high-resolution turbulent flow fields using minimal flow fields data. A multi-scale enhanced super-resolution generative adversarial network with a…

Fluid Dynamics · Physics 2022-01-05 Mustafa Z. Yousif , Linqi Yu , HeeChang Lim

Deep learning-based numerical schemes such as Physically Informed Neural Networks (PINNs) have recently emerged as an alternative to classical numerical schemes for solving Partial Differential Equations (PDEs). They are very appealing at…

Numerical Analysis · Mathematics 2022-05-11 A. Beguinet , V. Ehrlacher , R. Flenghi , M. Fuente , O. Mula , A. Somacal

Acquiring high-quality data for training discriminative models is a crucial yet challenging aspect of building effective predictive systems. In this paper, we present Diffusion Inversion, a simple yet effective method that leverages the…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Yongchao Zhou , Hshmat Sahak , Jimmy Ba