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Related papers: PhyDA: Physics-Guided Diffusion Models for Data As…

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Physics-informed diffusion models typically enforce PDE constraints only on final outputs, leaving intermediate representations unconstrained and prone to shortcut learning under shifted boundary conditions. We introduce **REPA-P**, a…

Machine Learning · Computer Science 2026-05-21 Haozhe Jia , Pengyu Yin , Wenshuo Chen , Shaofeng Liang , Lei Wang , Bowen Tian , Xiucheng Wang , Nanqian Jia , Yutao Yue

Atmospheric modeling has recently experienced a surge with the advent of deep learning. Most of these models, however, predict concentrations of pollutants following a data-driven approach in which the physical laws that govern their…

Applications · Statistics 2021-07-08 Javier Rubio-Herrero , Carlos Ortiz Marrero , Wai-Tong Louis Fan

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

Data assimilation aims to estimate the states of a dynamical system by optimally combining sparse and noisy observations of the physical system with uncertain forecasts produced by a computational model. The states of many dynamical systems…

Optimization and Control · Mathematics 2024-05-08 Amit N. Subrahmanya , Andrey A. Popov , Reid J. Gomillion , Adrian Sandu

Automated 3D scene generation is pivotal for applications spanning virtual reality, digital content creation, and Embodied AI. While computer graphics prioritizes aesthetic layouts, vision and robotics demand scenes that mirror real-world…

Graphics · Computer Science 2026-03-31 Minzhang Li , Kuixiang Shao , Xuebing Li , Yuyang Jiao , Yinuo Bai , Hengan Zhou , Sixian Shen , Jiayuan Gu , Jingyi Yu

Test-time adaptation harnesses test inputs to improve the accuracy of a model trained on source data when tested on shifted target data. Existing methods update the source model by (re-)training on each target domain. While effective,…

Machine Learning · Computer Science 2023-06-22 Jin Gao , Jialing Zhang , Xihui Liu , Trevor Darrell , Evan Shelhamer , Dequan Wang

Modelling partial differential equations (PDEs) is of crucial importance in science and engineering, and it includes tasks ranging from forecasting to inverse problems, such as data assimilation. However, most previous numerical and machine…

This paper contains the latest installment of the authors' project on developing ensemble based data assimilation methodology for high dimensional fluid dynamics models. The algorithm presented here is a particle filter that combines model…

Numerical Analysis · Mathematics 2020-04-22 Colin Cotter , Dan Crisan , Darryl Holm , Wei Pan , Igor Shevchenko

Physics-guided sampling with diffusion priors has recently shown strong performance in solving complex systems of partial differential equations (PDEs) from sparse observations. However, these methods are typically evaluated on benchmark…

Computational Physics · Physics 2026-04-21 Andrew Millard , Zheng Zhao , Henrik Pedersen

A method of data assimilation (DA) is employed to estimate electrophysiological parameters of neurons simultaneously with their synaptic connectivity in a small model biological network. The DA procedure is cast as an optimization, with a…

Neurons and Cognition · Quantitative Biology 2020-02-05 Eve Armstrong

We propose a novel learning-based surrogate data assimilation (DA) model for efficient state estimation in a limited area. Our model employs a feedforward neural network for online computation, eliminating the need for integrating…

Numerical Analysis · Mathematics 2023-07-17 Wei Kang , Liang Xu , Hong Zhou

The requirements of modern sensing are rapidly evolving, driven by increasing demands for data efficiency, real-time processing, and deployment under limited sensing coverage. Complex physical systems are often characterized through the…

Machine Learning · Computer Science 2025-12-02 Yuxuan Bao , J. Nathan Kutz

Physics-informed methods have gained a great success in analyzing data with partial differential equation (PDE) constraints, which are ubiquitous when modeling dynamical systems. Different from the common penalty-based approach, this work…

Methodology · Statistics 2024-10-08 Tongyu Li , Fang Yao

Data-driven deep learning models are transforming global weather forecasting. It is an open question if this success can extend to climate modeling, where the complexity of the data and long inference rollouts pose significant challenges.…

Machine Learning · Computer Science 2024-11-14 Salva Rühling Cachay , Brian Henn , Oliver Watt-Meyer , Christopher S. Bretherton , Rose Yu

We present the Empirical Dust Attenuation (EDA) framework -- a flexible prescription for assigning realistic dust attenuation to simulated galaxies based on their physical properties. We use the EDA to forward model synthetic observations…

Data Assimilation is the process in which we improve the representation of the state of a physical system by combining information coming from a numerical model, real-world observations, and some prior modelling. It is widely used to model…

Optimization and Control · Mathematics 2025-01-09 Victor Trappler , Arthur Vidard

Sampling efficiently from a target unnormalized probability density remains a core challenge, with relevance across countless high-impact scientific applications. A promising approach towards this challenge is the design of amortized…

Global data assimilation enables weather forecasting at all scales and provides valuable data for studying the Earth system. However, the computational demands of physics-based algorithms used in operational systems limits the volume and…

Machine Learning · Computer Science 2024-07-17 Thomas J. Vandal , Kate Duffy , Daniel McDuff , Yoni Nachmany , Chris Hartshorn

Multi-modal 3D object detection is important for reliable perception in robotics and autonomous driving. However, its effectiveness remains limited under adverse weather conditions due to weather-induced distortions and misalignment between…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Zhijian He , Feifei Liu , Yuwei Li , Zhanpeng Luo , Jintao Cheng , Xieyuanli Chen , Xiaoyu Tang

Modeling complex physical dynamics is a fundamental task in science and engineering. Traditional physics-based models are sample efficient, and interpretable but often rely on rigid assumptions. Furthermore, direct numerical approximation…

Machine Learning · Computer Science 2023-03-02 Rui Wang , Rose Yu
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