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This work proposes a statistically enhanced framework to address the instability and limited predictive capability of conventional Galerkin-Proper Orthogonal Decomposition (Galerkin-POD) models. The method reformulates the correction of the…

Fluid Dynamics · Physics 2026-04-15 Bijie Yang , Chengyuan Liu , Lu Tian , Yuping Qian , Mingyang Yang

In this paper, we consider the conditional generation problem by guiding off-the-shelf unconditional diffusion models with differentiable loss functions in a plug-and-play fashion. While previous research has primarily focused on balancing…

Computer Vision and Pattern Recognition · Computer Science 2024-11-21 Youyuan Zhang , Zehua Liu , Zenan Li , Zhaoyu Li , James J. Clark , Xujie Si

We present a concise, self-contained derivation of diffusion-based generative models. Starting from basic properties of Gaussian distributions (densities, quadratic expectations, re-parameterisation, products, and KL divergences), we…

Machine Learning · Computer Science 2025-11-18 Sepehr Maleki , Negar Pourmoazemi

In this work, we investigate the domain generalization capabilities of diffusion models in the context of synthesizing images that are distinct from the training data. Instead of fine-tuning, we tackle this challenge from a sampling-based…

Machine Learning · Computer Science 2025-12-01 Ye Zhu , Yu Wu , Duo Xu , Zhiwei Deng , Yan Yan , Olga Russakovsky

Phase retrieval in inline holography is a fundamental yet ill-posed inverse problem due to the nonlinear coupling between amplitude and phase in coherent imaging. We present a novel off-the-shelf solution that leverages a diffusion model…

Optics · Physics 2025-11-12 Jeongsol Kim , Chanseok Lee , Jongin You , Jong Chul Ye , Mooseok Jang

Clouds play a critical role in Earth's hydrological and energy cycles, and accurately representing their properties is essential for effective numerical modeling and weather forecasting. Machine learning methods have been widely used for…

Atmospheric and Oceanic Physics · Physics 2025-10-24 Haixia Xiao , Feng Zhang , Lingxiao Wang , Baoxiang Pan , Yannian Zhu , Minghuai Wang , Wenwen Li , Bin Guo , Jun Li

Conventional class-guided diffusion models generally succeed in generating images with correct semantic content, but often struggle with texture details. This limitation stems from the usage of class priors, which only provide coarse and…

Computer Vision and Pattern Recognition · Computer Science 2024-10-14 Xiaoyu Yue , Zidong Wang , Zeyu Lu , Shuyang Sun , Meng Wei , Wanli Ouyang , Lei Bai , Luping Zhou

This paper studies optical flow estimation, a critical task in motion analysis with applications in autonomous navigation, action recognition, and film production. Traditional optical flow methods require consecutive frames, which are often…

Computer Vision and Pattern Recognition · Computer Science 2025-06-12 Mo Zhou , Jianwei Wang , Xuanmeng Zhang , Dylan Campbell , Kai Wang , Long Yuan , Wenjie Zhang , Xuemin Lin

The core of out-of-distribution (OOD) detection is to learn the in-distribution (ID) representation, which is distinguishable from OOD samples. Previous work applied recognition-based methods to learn the ID features, which tend to learn…

Computer Vision and Pattern Recognition · Computer Science 2023-04-12 Jingyao Li , Pengguang Chen , Shaozuo Yu , Zexin He , Shu Liu , Jiaya Jia

The state of the art for physical hazard prediction from weather and climate requires expensive km-scale numerical simulations driven by coarser resolution global inputs. Here, a generative diffusion architecture is explored for downscaling…

Recent advances in generative modeling -- particularly diffusion models and flow matching -- have achieved remarkable success in synthesizing discrete data such as images and videos. However, adapting these models to physical applications…

Machine Learning · Computer Science 2025-11-26 Sifan Wang , Zehao Dou , Siming Shan , Tong-Rui Liu , Lu Lu

Image restoration aims to recover high-quality images from degraded observations. When the degradation process is known, the recovery problem can be formulated as an inverse problem, and in a Bayesian context, the goal is to sample a clean…

Image and Video Processing · Electrical Eng. & Systems 2025-10-13 Darshan Thaker , Abhishek Goyal , René Vidal

In medical imaging, unsupervised out-of-distribution (OOD) detection offers an attractive approach for identifying pathological cases with extremely low incidence rates. In contrast to supervised methods, OOD-based approaches function…

Computer Vision and Pattern Recognition · Computer Science 2025-08-01 Lemar Abdi , Francisco Caetano , Amaan Valiuddin , Christiaan Viviers , Hamdi Joudeh , Fons van der Sommen

Earth system forecasting has traditionally relied on complex physical models that are computationally expensive and require significant domain expertise. In the past decade, the unprecedented increase in spatiotemporal Earth observation…

Machine Learning · Computer Science 2023-12-29 Zhihan Gao , Xingjian Shi , Boran Han , Hao Wang , Xiaoyong Jin , Danielle Maddix , Yi Zhu , Mu Li , Yuyang Wang

Diffusion Probabilistic Models (DPMs) have recently shown remarkable performance in image generation tasks, which are capable of generating highly realistic images. When adopting DPMs for image restoration tasks, the crucial aspect lies in…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Yi Zhang , Xiaoyu Shi , Dasong Li , Xiaogang Wang , Jian Wang , Hongsheng Li

Climate change necessitates rapid expansion of renewable energy, with wind energy offering a scalable and low-impact solution. However, accurate prediction of wind loads and power generation remains challenging due to uncertainties in wind…

Fluid Dynamics · Physics 2026-04-30 Omar Sallam , Mirjam Fürth

Diffusion models, as a type of generative model, have achieved impressive results in generating images and videos conditioned on textual conditions. However, the generation process of diffusion models involves denoising dozens of steps to…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 Hui Zhang , Zuxuan Wu , Zhen Xing , Jie Shao , Yu-Gang Jiang

Structure-based drug design (SBDD), which aims to generate molecules that can bind tightly to the target protein, is an essential problem in drug discovery, and previous approaches have achieved initial success. However, most existing…

Machine Learning · Computer Science 2024-04-04 Xinze Li , Penglei Wang , Tianfan Fu , Wenhao Gao , Chengtao Li , Leilei Shi , Junhong Liu

Methods for out-of-distribution (OOD) detection that scale to 3D data are crucial components of any real-world clinical deep learning system. Classic denoising diffusion probabilistic models (DDPMs) have been recently proposed as a robust…

Hyperspectral image reconstruction from a compressed measurement is a highly ill-posed inverse problem. Current data-driven methods suffer from hallucination due to the lack of spectral diversity in existing hyperspectral image datasets,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Juan Romero , Qiang Fu , Matteo Ravasi , Wolfgang Heidrich