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Related papers: PILD: Physics-Informed Learning via Diffusion

200 papers

There are many interesting physical processes which involve the generation of high density plasmas in large volumes. However, when modeling these systems numerically, the large densities and volumes present a significant computational…

Computational Physics · Physics 2007-05-23 A. E. Schulz , A. D. Greenwood , K. L. Cartwright , P. J. Mardahl

Integrating physical inductive biases into machine learning can improve model generalizability. We generalize the successful paradigm of physics-informed learning (PIL) into a more general framework that also includes what we term…

Machine Learning · Computer Science 2021-09-29 Ziming Liu , Yunyue Chen , Yuanqi Du , Max Tegmark

Denoising diffusion models trained at web-scale have revolutionized image generation. The application of these tools to engineering design is an intriguing possibility, but is currently limited by their inability to parse and enforce…

Machine Learning · Computer Science 2023-06-19 Nikos Arechiga , Frank Permenter , Binyang Song , Chenyang Yuan

A fundamental challenge in physics-informed machine learning (PIML) is the design of robust PIML methods for out-of-distribution (OOD) forecasting tasks. These OOD tasks require learning-to-learn from observations of the same (ODE)…

Machine Learning · Computer Science 2023-03-07 S Chandra Mouli , Muhammad Ashraful Alam , Bruno Ribeiro

Conditional diffusion models can create unseen images in various settings, aiding image interpolation. Interpolation in latent spaces is well-studied, but interpolation with specific conditions like text or poses is less understood. Simple…

Computer Vision and Pattern Recognition · Computer Science 2024-10-07 Qiyuan He , Jinghao Wang , Ziwei Liu , Angela Yao

Vortex-induced vibration (VIV) is a typical nonlinear fluid-structure interaction phenomenon, which widely exists in practical engineering (the flexible riser, the bridge and the aircraft wing, etc). The conventional finite element model…

Fluid Dynamics · Physics 2021-12-30 Hesheng Tang , Hu Yang , Yangyang Liao , Liyu Xie

Diffusion models, a powerful and universal generative AI technology, have achieved tremendous success in computer vision, audio, reinforcement learning, and computational biology. In these applications, diffusion models provide flexible…

Machine Learning · Computer Science 2024-04-12 Minshuo Chen , Song Mei , Jianqing Fan , Mengdi Wang

Recently, perceptual image compression has achieved significant advancements, delivering high visual quality at low bitrates for natural images. However, for screen content, existing methods often produce noticeable artifacts when…

Computer Vision and Pattern Recognition · Computer Science 2025-05-12 Tongda Xu , Jiahao Li , Bin Li , Yan Wang , Ya-Qin Zhang , Yan Lu

Physics-Informed machine learning models have recently emerged with some interesting and unique features that can be applied to reservoir engineering. In particular, physics-informed neural networks (PINN) leverage the fact that neural…

Fluid Dynamics · Physics 2023-12-01 Daniel Badawi , Eduardo Gildin

High-resolution reconstruction of flow-field data from low-resolution and noisy measurements is of interest due to the prevalence of such problems in experimental fluid mechanics, where the measurement data are in general sparse, incomplete…

Fluid Dynamics · Physics 2024-02-23 Hamidreza Eivazi , Yuning Wang , Ricardo Vinuesa

We consider the application of deep generative models in propagating uncertainty through complex physical systems. Specifically, we put forth an implicit variational inference formulation that constrains the generative model output to…

Machine Learning · Statistics 2018-12-11 Yibo Yang , Paris Perdikaris

Control in fluid environments is an important research area with numerous applications across various domains, including underwater robotics, aerospace engineering, and biomedical systems. However, in practice, control methods often face…

Machine Learning · Computer Science 2025-08-13 Haodong Feng , Peiyan Hu , Yue Wang , Dixia Fan

In this work, we demonstrate how physical principles -- such as symmetries, invariances, and conservation laws -- can be integrated into the dynamic mode decomposition (DMD). DMD is a widely-used data analysis technique that extracts…

Dynamical Systems · Mathematics 2021-12-09 Peter J. Baddoo , Benjamin Herrmann , Beverley J. McKeon , J. Nathan Kutz , Steven L. Brunton

Traditional numerical methods often struggle with the complexity and scale of modeling pollutant transport across vast and dynamic oceanic domains. This paper introduces a Physics-Informed Neural Network (PINN) framework to simulate the…

Machine Learning · Computer Science 2025-07-15 Karishma Battina , Prathamesh Dinesh Joshi , Raj Abhijit Dandekar , Rajat Dandekar , Sreedath Panat

Image completion is a challenging task, particularly when ensuring that generated content seamlessly integrates with existing parts of an image. While recent diffusion models have shown promise, they often struggle with maintaining…

Computer Vision and Pattern Recognition · Computer Science 2025-04-22 Pourya Shamsolmoali , Masoumeh Zareapoor , Huiyu Zhou , Michael Felsberg , Dacheng Tao , Xuelong Li

Diffusion models have become a central tool in deep generative modeling, but standard formulations rely on a single network and a single diffusion schedule to transform a simple prior, typically a standard normal distribution, into the…

Machine Learning · Statistics 2025-12-29 Takuro Kutsuna

Physics-based and data-driven models for remaining useful lifetime (RUL) prediction typically suffer from two major challenges that limit their applicability to complex real-world domains: (1) incompleteness of physics-based models and (2)…

Systems and Control · Electrical Eng. & Systems 2020-10-28 Manuel Arias Chao , Chetan Kulkarni , Kai Goebel , Olga Fink

The present research proposes a new memory-efficient method using diffusion models to inject turbulent inflow conditions into Large Eddy Simulation (LES) and Direct Numerical Simulation (DNS) for various flow problems. A guided diffusion…

Diffusion-based generative models have achieved remarkable success in image generation. Their guidance formulation allows an external model to plug-and-play control the generation process for various tasks without finetuning the diffusion…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Hyojun Go , Yunsung Lee , Jin-Young Kim , Seunghyun Lee , Myeongho Jeong , Hyun Seung Lee , Seungtaek Choi

Machine learning-based surrogate models have emerged as a powerful tool to accelerate simulation-driven scientific workflows, but their adoption is limited by the lack of large-scale, diverse, and standardized datasets for physics-based…