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Diffusion models now set the benchmark in high-fidelity generative sampling, yet they can, in principle, be prone to memorization. In this case, their learned score overfits the finite dataset so that the reverse-time SDE samples are mostly…

Machine Learning · Computer Science 2025-05-30 Franck Gabriel , François Ged , Maria Han Veiga , Emmanuel Schertzer

While diffusion models excel at generating high-quality images, their tendency to memorize training data poses significant privacy and copyright risks. In this work, we for the first time identify that memorization induces internal…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Yuanmin Huang , Mi Zhang , Chen Chen , Feifei Li , Geng Hong , Xiaoyu You , Min Yang

Diffusion models generalize well in practice. However, an optimal diffusion model fully memorizes the training data and therefore fails to generalize, raising the question of what induces generalization in a real diffusion model. We show…

Machine Learning · Computer Science 2026-05-21 Tim Kaiser , Markus Kollmann

Diffusion models have achieved remarkable success in Text-to-Image generation tasks, leading to the development of many commercial models. However, recent studies have reported that diffusion models often generate replicated images in train…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Chunsan Hong , Tae-Hyun Oh , Minhyuk Sung

Diffusion models have achieved impressive advancements in various vision tasks. However, these gains often rely on increasing model size, which escalates computational complexity and memory demands, complicating deployment, raising…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Yang Zhang , Er Jin , Wenzhong Liang , Yanfei Dong , Ashkan Khakzar , Philip Torr , Johannes Stegmaier , Kenji Kawaguchi

Diffusion Models (DMs), also referred to as score-based diffusion models, utilize neural networks to specify score functions. Unlike most other probabilistic models, DMs directly model the score functions, which makes them more flexible to…

Machine Learning · Computer Science 2023-04-11 Weijian Luo

Diffusion models are popular tools for generating new data samples, using a forward process that adds noise to data and a reverse process to denoise and produce samples. However, when the data distribution consists of n points, empirical…

Machine Learning · Statistics 2025-08-05 Yang Lyu , Tan Minh Nguyen , Yuchun Qian , Xin T. Tong

Machine learning models are increasingly trained or fine-tuned on synthetic data. Recursively training on such data has been observed to significantly degrade performance in a wide range of tasks, often characterized by a progressive drift…

Machine Learning · Statistics 2026-02-19 Nail B. Khelifa , Richard E. Turner , Ramji Venkataramanan

Due to their capacity to generate novel and high-quality samples, diffusion models have attracted significant research interest in recent years. Notably, the typical training objective of diffusion models, i.e., denoising score matching,…

Machine Learning · Computer Science 2025-02-21 Xiangming Gu , Chao Du , Tianyu Pang , Chongxuan Li , Min Lin , Ye Wang

In Diffusion Probabilistic Models (DPMs), the task of modeling the score evolution via a single time-dependent neural network necessitates extended training periods and may potentially impede modeling flexibility and capacity. To counteract…

Machine Learning · Computer Science 2023-06-06 Etrit Haxholli , Marco Lorenzi

Text-to-image diffusion models (DMs) have achieved remarkable success in image generation. However, concerns about data privacy and intellectual property remain due to their potential to inadvertently memorize and replicate training data.…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Antoni Kowalczuk , Dominik Hintersdorf , Lukas Struppek , Kristian Kersting , Adam Dziedzic , Franziska Boenisch

Diffusion models have demonstrated state-of-the-art performance across vision, language, and scientific domains. Despite their empirical success, prior theoretical analyses of the sample complexity suffer from poor scaling with input data…

Machine Learning · Computer Science 2026-04-14 Mudit Gaur , Prashant Trivedi , Sasidhar Kunapuli , Amrit Singh Bedi , Vaneet Aggarwal

Diffusion probabilistic models have been successfully used to generate data from noise. However, most diffusion models are computationally expensive and difficult to interpret with a lack of theoretical justification. Random feature models…

Machine Learning · Statistics 2025-08-11 Esha Saha , Giang Tran

Despite their success in image generation, diffusion models can memorize training data, raising serious privacy and copyright concerns. Although prior work has sought to characterize, detect, and mitigate memorization, the fundamental…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Juyeop Kim , Songkuk Kim , Jong-Seok Lee

Diffusion models have emerged as the principal paradigm for generative modeling across various domains. During training, they learn the score function, which in turn is used to generate samples at inference. They raise a basic yet unsolved…

Machine Learning · Computer Science 2025-10-03 Kiwhan Song , Jaeyeon Kim , Sitan Chen , Yilun Du , Sham Kakade , Vincent Sitzmann

Diffusion models excel in generating images that closely resemble their training data but are also susceptible to data memorization, raising privacy, ethical, and legal concerns, particularly in sensitive domains such as medical imaging. We…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Raman Dutt , Ondrej Bohdal , Pedro Sanchez , Sotirios A. Tsaftaris , Timothy Hospedales

Recent work on diffusion models proposed that they operate in two regimes: memorization, in which models reproduce their training data, and generalization, in which they generate novel samples. While this has been tested in high-noise…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Elizabeth Pavlova , Xue-Xin Wei

Recent works have shown that diffusion models are able to memorize training images and emit them at generation time. However, the metrics used to evaluate memorization and its mitigation techniques suffer from dataset-dependent biases and…

Machine Learning · Computer Science 2025-03-04 Nicky Kriplani , Minh Pham , Gowthami Somepalli , Chinmay Hegde , Niv Cohen

The success of denoising diffusion models raises important questions regarding their generalisation behaviour, particularly in high-dimensional settings. Notably, it has been shown that when training and sampling are performed perfectly,…

Machine Learning · Statistics 2025-07-08 Tyler Farghly , Patrick Rebeschini , George Deligiannidis , Arnaud Doucet

In this work, we study the generalizability of diffusion models by looking into the hidden properties of the learned score functions, which are essentially a series of deep denoisers trained on various noise levels. We observe that as…

Machine Learning · Computer Science 2024-12-03 Xiang Li , Yixiang Dai , Qing Qu