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Diffusion models, known for their tremendous ability to generate high-quality samples, have recently raised concerns due to their data memorization behavior, which poses privacy risks. Recent methods for memory mitigation have primarily…

Computer Vision and Pattern Recognition · Computer Science 2025-02-14 Xiaoliu Guan , Yu Wu , Huayang Huang , Xiao Liu , Jiaxu Miao , Yi Yang

Diffusion/score-based models have emerged as powerful generative models, capable of generating high-quality samples that mimic the training data distribution. However, it has been observed that they are prone to reproducing training…

Machine Learning · Statistics 2026-05-26 Benjamin Sterling , Mónica F. Bugallo , Tom Tirer

Generative models are increasingly used in 3D vision to synthesize novel shapes, yet it remains unclear whether their generation relies on memorizing training shapes. Understanding their memorization could help prevent training data leakage…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Shu Pu , Boya Zeng , Kaichen Zhou , Mengyu Wang , Zhuang Liu

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

We study a data-dependent notion of diffusion-model generalization: when a model does not memorize the training set, where do its generated samples go relative to the geometry induced by the data? To answer this, we introduce a…

Machine Learning · Statistics 2026-05-14 Ye He , Yitong Qiu , Molei Tao

Over-parameterized deep neural networks are able to achieve excellent training accuracy while maintaining a small generalization error. It has also been found that they are able to fit arbitrary labels, and this behaviour is referred to as…

Machine Learning · Computer Science 2021-12-17 Futong Liu , Tao Lin , Martin Jaggi

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

Diffusion models power leading generative AI, but when and how they memorize training data, especially on low-dimensional manifolds, remains unclear. We find memorization emerges gradually, not abruptly: as data become scarce, diffusion…

Diffusion models (DMs) produce very detailed and high-quality images. Their power results from extensive training on large amounts of data, usually scraped from the internet without proper attribution or consent from content creators.…

Machine Learning · Computer Science 2024-11-05 Dominik Hintersdorf , Lukas Struppek , Kristian Kersting , Adam Dziedzic , Franziska Boenisch

Generative neural networks learn how to produce highly realistic images from a large, but finite number of examples - or do they simply memorise their training set? To settle this question, Kadkhodaie, Guth, Simoncelli and Mallat (ICLR '24)…

Machine Learning · Statistics 2026-05-21 Antoine Maillard , Sebastian Goldt

One of the objectives of Continual Learning is to learn new concepts continually over a stream of experiences and at the same time avoid catastrophic forgetting. To mitigate complete knowledge overwriting, memory-based methods store a…

Machine Learning · Computer Science 2023-06-21 Felipe del Rio , Julio Hurtado , Cristian Buc , Alvaro Soto , Vincenzo Lomonaco

Models for learning probability distributions such as generative models and density estimators behave quite differently from models for learning functions. One example is found in the memorization phenomenon, namely the ultimate convergence…

Machine Learning · Statistics 2021-03-03 Hongkang Yang , Weinan E

While diffusion models demonstrate strong generative capabilities in image restoration (IR) tasks, their complex architectures and iterative processes limit their practical application compared to mainstream reconstruction-based general…

Computer Vision and Pattern Recognition · Computer Science 2025-06-30 Xin Lu , Xueyang Fu , Jie Xiao , Zihao Fan , Yurui Zhu , Zheng-Jun Zha

Understanding the inductive bias and generalization properties of large overparametrized machine learning models requires to characterize the dynamics of the training algorithm. We study the learning dynamics of large two-layer neural…

Machine Learning · Statistics 2025-10-30 Andrea Montanari , Pierfrancesco Urbani

Despite their empirical success, how diffusion models generalize remains poorly understood from a mechanistic perspective. We demonstrate that diffusion models trained with flow-matching objectives exhibit grokking--delayed generalization…

Machine Learning · Computer Science 2026-04-21 Joon Hyeok Kim , Yong-Hyun Park , Mattis Dalsætra Østby , Jiatao Gu

Denoising score matching plays a pivotal role in the performance of diffusion-based generative models. However, the empirical optimal score--the exact solution to the denoising score matching--leads to memorization, where generated samples…

Machine Learning · Statistics 2025-05-07 Yu-Han Wu , Pierre Marion , Gérard Biau , Claire Boyer

Domain Generalization aims to develop models that can generalize to novel and unseen data distributions. In this work, we study how model architectures and pre-training objectives impact feature richness and propose a method to effectively…

Machine Learning · Computer Science 2025-04-30 Xavier Thomas , Deepti Ghadiyaram

Autoregressive language models (ARMs) have been shown to memorize and occasionally reproduce training data verbatim, raising concerns about privacy and copyright liability. Diffusion language models (DLMs) have recently emerged as a…

Computation and Language · Computer Science 2026-03-04 Xiaoyu Luo , Wenrui Yu , Qiongxiu Li , Johannes Bjerva

Diffusion models currently dominate the field of data-driven image synthesis with their unparalleled scaling to large datasets. In this paper, we identify and rectify several causes for uneven and ineffective training in the popular ADM…

Computer Vision and Pattern Recognition · Computer Science 2024-03-21 Tero Karras , Miika Aittala , Jaakko Lehtinen , Janne Hellsten , Timo Aila , Samuli Laine

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