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Related papers: Diffusion models under low-noise regime

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Diffusion models have shown remarkable performance on many generative tasks. Despite recent success, most diffusion models are restricted in that they only allow linear transformation of the data distribution. In contrast, broader family of…

Machine Learning · Computer Science 2024-06-04 Grigory Bartosh , Dmitry Vetrov , Christian A. Naesseth

Despite the importance of denoising in modern machine learning and ample empirical work on supervised denoising, its theoretical understanding is still relatively scarce. One concern about studying supervised denoising is that one might not…

Machine Learning · Computer Science 2024-03-18 Chinmaya Kausik , Kashvi Srivastava , Rishi Sonthalia

Diffusion and flow-based models have enabled significant progress in generation tasks across various modalities and have recently found applications in predictive learning. However, unlike typical generation tasks that encourage sample…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Yu Zhang , Xingzhuo Guo , Haoran Xu , Jialong Wu , Mingsheng Long

Recently, research on denoising diffusion models has expanded its application to the field of image restoration. Traditional diffusion-based image restoration methods utilize degraded images as conditional input to effectively guide the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-25 Zhenning Shi , Haoshuai Zheng , Chen Xu , Changsheng Dong , Bin Pan , Xueshuo Xie , Along He , Tao Li , Huazhu Fu

Generalization in generative modeling is defined as the ability to learn an underlying distribution from a finite dataset and produce novel samples, with evaluation largely driven by held-out performance and perceived sample quality. In…

Machine Learning · Computer Science 2026-03-05 Jerome Garnier-Brun , Luca Biggio , Davide Beltrame , Marc Mézard , Luca Saglietti

Looped transformers scale computational depth without increasing parameter count by repeatedly applying a shared transformer block and can be used for iterative refinement, where each loop rewrites a full fixed-size prediction in parallel.…

Machine Learning · Computer Science 2026-04-22 Chris Cameron , Wangzheng Wang , Nikita Ivanov , Ashmita Bhattacharyya , Didier Chételat , Yingxue Zhang

Denoising diffusion probabilistic models and score-matching models have proven to be very powerful for generative tasks. While these approaches have also been applied to the generation of discrete graphs, they have, so far, relied on…

Machine Learning · Computer Science 2023-08-17 Kilian Konstantin Haefeli , Karolis Martinkus , Nathanaël Perraudin , Roger Wattenhofer

Denoising diffusion models offer a promising approach to accelerating magnetic resonance imaging (MRI) and producing diagnostic-level images in an unsupervised manner. However, our study demonstrates that even tiny worst-case potential…

Image and Video Processing · Electrical Eng. & Systems 2024-06-26 Tianyu Han , Sven Nebelung , Firas Khader , Jakob Nikolas Kather , Daniel Truhn

Diffusion model has emerged as the \emph{de-facto} model for image generation, yet the heavy training overhead hinders its broader adoption in the research community. We observe that diffusion models are commonly trained to learn all…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Jiachen Lei , Qinglong Wang , Peng Cheng , Zhongjie Ba , Zhan Qin , Zhibo Wang , Zhenguang Liu , Kui Ren

In recent years, denoising diffusion models have become a crucial area of research due to their abundance in the rapidly expanding field of generative AI. While recent statistical advances have delivered explanations for the generation…

Statistics Theory · Mathematics 2026-03-04 Asbjørn Holk , Claudia Strauch , Lukas Trottner

Generative AI has received significant attention among a spectrum of diverse industrial and academic domains, thanks to the magnificent results achieved from deep generative models such as generative pre-trained transformers (GPT) and…

Information Theory · Computer Science 2023-10-06 Mehdi Letafati , Samad Ali , Matti Latva-aho

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

Denoising diffusion models have emerged as one of the most powerful generative models in recent years. They have achieved remarkable success in many fields, such as computer vision, natural language processing (NLP), and bioinformatics.…

Machine Learning · Computer Science 2023-02-23 Zhiye Guo , Jian Liu , Yanli Wang , Mengrui Chen , Duolin Wang , Dong Xu , Jianlin Cheng

We explore the connection between deep learning and information theory through the paradigm of diffusion models. A diffusion model converts noise into structured data by reinstating, imperfectly, information that is erased when data was…

Machine Learning · Computer Science 2025-11-04 Akhil Premkumar

Diffusion models are central to modern generative modeling, and understanding how they balance memorization and generalization is critical for reliable deployment. Recent work has shown that memorization in diffusion models is shaped by…

Machine Learning · Computer Science 2026-04-28 Bingqing Jiang , Difan Zou

Along with recent diffusion models, randomized smoothing has become one of a few tangible approaches that offers adversarial robustness to models at scale, e.g., those of large pre-trained models. Specifically, one can perform randomized…

Machine Learning · Computer Science 2023-10-30 Jongheon Jeong , Jinwoo Shin

We explore the problem of generating minority samples using diffusion models. The minority samples are instances that lie on low-density regions of a data manifold. Generating a sufficient number of such minority instances is important,…

Machine Learning · Computer Science 2024-02-27 Soobin Um , Suhyeon Lee , Jong Chul Ye

Diffusion models have achieved remarkable success across diverse domains, but they remain vulnerable to memorization -- reproducing training data rather than generating novel outputs. This not only limits their creative potential but also…

Machine Learning · Statistics 2025-11-10 Zeqi Ye , Qijie Zhu , Molei Tao , Minshuo Chen

Conditional diffusion models have achieved remarkable success in various generative tasks recently, but their training typically relies on large-scale datasets that inevitably contain imprecise information in conditional inputs. Such…

Machine Learning · Computer Science 2025-10-13 Dong-Dong Wu , Jiacheng Cui , Wei Wang , Zhiqiang Shen , Masashi Sugiyama

Diffusion models have achieved remarkable success across a wide range of generative tasks, yet their training paradigm largely treats injected noise as uniformly informative. In this work, we challenge this assumption and introduce…

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