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Sampling based on score diffusions has led to striking empirical results, and has attracted considerable attention from various research communities. It depends on availability of (approximate) Stein score functions for various levels of…

Statistics Theory · Mathematics 2026-01-01 M. J. Wainwright

Despite the remarkable empirical success of score-based diffusion models, their statistical guarantees remain underdeveloped. Existing analyses often provide pessimistic convergence rates that do not reflect the intrinsic low-dimensional…

Machine Learning · Statistics 2026-04-24 Saptarshi Chakraborty , Quentin Berthet , Peter L. Bartlett

Diffusion models can learn strong image priors from underlying data distribution and use them to solve inverse problems, but the training process is computationally expensive and requires lots of data. Such bottlenecks prevent most existing…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Jason Hu , Bowen Song , Xiaojian Xu , Liyue Shen , Jeffrey A. Fessler

Hiding data using neural networks (i.e., neural steganography) has achieved remarkable success across both discriminative classifiers and generative adversarial networks. However, the potential of data hiding in diffusion models remains…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Haoyu Chen , Yunqiao Yang , Nan Zhong , Kede Ma

Magnetic resonance imaging (MRI) is a potent diagnostic tool, but suffers from long examination times. To accelerate the process, modern MRI machines typically utilize multiple coils that acquire sub-sampled data in parallel. Data-driven…

Image and Video Processing · Electrical Eng. & Systems 2023-10-24 Moritz Erlacher , Martin Zach

Denoising diffusion models have emerged as a dominant approach for image generation, however they still suffer from slow convergence in training and color shift issues in sampling. In this paper, we identify that these obstacles can be…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Hu Yu , Li Shen , Jie Huang , Hongsheng Li , Feng Zhao

Assessing model generalization under distribution shift is essential for real-world deployment, particularly when labeled test data is unavailable. This paper presents a unified and practical framework for unsupervised model evaluation and…

Machine Learning · Computer Science 2025-10-06 Weijian Deng , Weijie Tu , Ibrahim Radwan , Mohammad Abu Alsheikh , Stephen Gould , Liang Zheng

Diffusion models (DMs) have demonstrated remarkable ability to generate diverse and high-quality images by efficiently modeling complex data distributions. They have also been explored as powerful generative priors for signal recovery,…

Machine Learning · Computer Science 2025-05-28 Anqi Tang , Youming Chen , Shuchen Xue , Zhaoqiang Liu

Diffusion models have gained attention for their ability to represent complex distributions and incorporate uncertainty, making them ideal for robust predictions in the presence of noisy or incomplete data. In this study, we develop and…

Machine Learning · Computer Science 2024-11-05 Yilin Zhuang , Sibo Cheng , Karthik Duraisamy

While diffusion priors generate high-quality posterior samples across many inverse problems, they are often trained on limited training sets or purely simulated data, thus inheriting the errors and biases of these underlying sources.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Frederic Wang , Katherine L. Bouman

In the realm of medical imaging, inverse problems aim to infer high-quality images from incomplete, noisy measurements, with the objective of minimizing expenses and risks to patients in clinical settings. The Diffusion Models have recently…

Image and Video Processing · Electrical Eng. & Systems 2024-04-08 Hossein Askari , Fred Roosta , Hongfu Sun

We propose a new method for solving imaging inverse problems using text-to-image latent diffusion models as general priors. Existing methods using latent diffusion models for inverse problems typically rely on simple null text prompts,…

Machine Learning · Computer Science 2023-10-03 Hyungjin Chung , Jong Chul Ye , Peyman Milanfar , Mauricio Delbracio

Imputation methods play a critical role in enhancing the quality of practical time-series data, which often suffer from pervasive missing values. Recently, diffusion-based generative imputation methods have demonstrated remarkable success…

Machine Learning · Computer Science 2025-10-03 Zeqi Ye , Minshuo Chen

Recent studies on inverse problems have proposed posterior samplers that leverage the pre-trained diffusion models as powerful priors. These attempts have paved the way for using diffusion models in a wide range of inverse problems.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-24 Sojin Lee , Dogyun Park , Inho Kong , Hyunwoo J. Kim

Can a diffusion model trained on bedrooms recover human faces? Diffusion models are widely used as priors for inverse problems, but standard approaches usually assume a high-fidelity model trained on data that closely match the unknown…

Machine Learning · Computer Science 2026-02-02 Jing Jia , Wei Yuan , Sifan Liu , Liyue Shen , Guanyang Wang

The problem of unsupervised learning and segmentation of hyperspectral images is a significant challenge in remote sensing. The high dimensionality of hyperspectral data, presence of substantial noise, and overlap of classes all contribute…

Computer Vision and Pattern Recognition · Computer Science 2018-10-17 James M. Murphy , Mauro Maggioni

There is a bias in the inference pipeline of most diffusion models. This bias arises from a signal leak whose distribution deviates from the noise distribution, creating a discrepancy between training and inference processes. We demonstrate…

Computer Vision and Pattern Recognition · Computer Science 2023-10-25 Martin Nicolas Everaert , Athanasios Fitsios , Marco Bocchio , Sami Arpa , Sabine Süsstrunk , Radhakrishna Achanta

Diffusion models have recently shown the ability to generate high-quality images. However, controlling its generation process still poses challenges. The image style transfer task is one of those challenges that transfers the visual…

Computer Vision and Pattern Recognition · Computer Science 2024-10-03 Kento Masui , Mayu Otani , Masahiro Nomura , Hideki Nakayama

Recent diffusion models provide a promising zero-shot solution to noisy linear inverse problems without retraining for specific inverse problems. In this paper, we reveal that recent methods can be uniformly interpreted as employing a…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Xinyu Peng , Ziyang Zheng , Wenrui Dai , Nuoqian Xiao , Chenglin Li , Junni Zou , Hongkai Xiong

Score-based diffusion models have recently been extended to infinite-dimensional function spaces, with uses such as inverse problems arising from partial differential equations. In the Bayesian formulation of inverse problems, the aim is to…

Machine Learning · Computer Science 2026-05-12 Elizabeth L. Baker , Alexander Denker , Jes Frellsen