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The widespread use of generative models has created a feedback loop, in which each generation of models is trained on data partially produced by its predecessors. This process has raised concerns about model collapse: A critical degradation…

Machine Learning · Statistics 2026-03-27 Daniel Barzilai , Ohad Shamir

The proliferation of generative models, combined with pretraining on web-scale data, raises a timely question: what happens when these models are trained on their own generated outputs? Recent investigations into model-data feedback loops…

Given the ease of creating synthetic data from machine learning models, new models can be potentially trained on synthetic data generated by previous models. This recursive training process raises concerns about the long-term impact on…

Machine Learning · Computer Science 2024-12-24 Ananda Theertha Suresh , Andrew Thangaraj , Aditya Nanda Kishore Khandavally

The problem of model collapse has presented new challenges in iterative training of generative models, where such training with synthetic data leads to an overall degradation of performance. This paper looks at the problem from a…

Machine Learning · Statistics 2026-02-19 Soham Bakshi , Sunrit Chakraborty

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

As synthetic data becomes higher quality and proliferates on the internet, machine learning models are increasingly trained on a mix of human- and machine-generated data. Despite the successful stories of using synthetic data for…

Machine Learning · Computer Science 2024-06-11 Nate Gillman , Michael Freeman , Daksh Aggarwal , Chia-Hong Hsu , Calvin Luo , Yonglong Tian , Chen Sun

We present a new adaptive algorithm for learning discrete distributions under distribution drift. In this setting, we observe a sequence of independent samples from a discrete distribution that is changing over time, and the goal is to…

Machine Learning · Computer Science 2024-03-11 Alessio Mazzetto

Statistical inference from high-dimensional data with low-dimensional structures has recently attracted lots of attention. In machine learning, deep generative modeling approaches implicitly estimate distributions of complex objects by…

Statistics Theory · Mathematics 2022-02-21 Rong Tang , Yun Yang

Widespread deployment of societal-scale machine learning systems necessitates a thorough understanding of the resulting long-term effects these systems have on their environment, including loss of trustworthiness, bias amplification, and…

Machine Learning · Computer Science 2024-05-07 Andrey Veprikov , Alexander Afanasiev , Anton Khritankov

What happens when generative machine learning models are pretrained on web-scale datasets containing data generated by earlier models? Some prior work warns of "model collapse" as the web is overwhelmed by synthetic data; other work…

Machine Learning · Computer Science 2025-03-19 Joshua Kazdan , Rylan Schaeffer , Apratim Dey , Matthias Gerstgrasser , Rafael Rafailov , David L. Donoho , Sanmi Koyejo

This paper tackles the emerging challenge of training generative models within a self-consuming loop, wherein successive generations of models are recursively trained on mixtures of real and synthetic data from previous generations. We…

Machine Learning · Computer Science 2024-06-25 Shi Fu , Sen Zhang , Yingjie Wang , Xinmei Tian , Dacheng Tao

High-quality data is essential for training large generative models, yet the vast reservoir of real data available online has become nearly depleted. Consequently, models increasingly generate their own data for further training, forming…

Machine Learning · Computer Science 2025-02-27 Shi Fu , Yingjie Wang , Yuzhu Chen , Xinmei Tian , Dacheng Tao

The phenomenon of model collapse, introduced in (Shumailov et al., 2023), refers to the deterioration in performance that occurs when new models are trained on synthetic data generated from previously trained models. This recursive training…

Machine Learning · Computer Science 2024-04-09 Mohamed El Amine Seddik , Suei-Wen Chen , Soufiane Hayou , Pierre Youssef , Merouane Debbah

Metric learning seeks perceptual embeddings where visually similar instances are close and dissimilar instances are apart, but learned representations can be sub-optimal when the distribution of intra-class samples is diverse and distinct…

Machine Learning · Computer Science 2021-08-30 Elad Levi , Tete Xiao , Xiaolong Wang , Trevor Darrell

We present a novel approach to estimating discrete distributions with (potentially) infinite support in the total variation metric. In a departure from the established paradigm, we make no structural assumptions whatsoever on the sampling…

Statistics Theory · Mathematics 2020-10-16 Doron Cohen , Aryeh Kontorovich , Geoffrey Wolfer

Despite the widespread adoption of deterministic samplers in diffusion models (DMs), their potential limitations remain largely unexplored. In this paper, we identify collapse errors, a previously unrecognized phenomenon in ODE-based…

Machine Learning · Computer Science 2025-08-25 Yi Zhang , Zhenyu Liao , Jingfeng Wu , Difan Zou

Recently proposed generative models for discrete data, such as Masked Diffusion Models (MDMs), exploit conditional independence approximations to reduce the computational cost of popular Auto-Regressive Models (ARMs), at the price of some…

Machine Learning · Statistics 2025-12-18 Hugo Lavenant , Giacomo Zanella

We study nonparametric density estimation in non-stationary drift settings. Given a sequence of independent samples taken from a distribution that gradually changes in time, the goal is to compute the best estimate for the current…

Machine Learning · Computer Science 2023-10-31 Alessio Mazzetto , Eli Upfal

When optimizing against the mean loss over a distribution of predictions in the context of a regression task, then even if there is a distribution of targets the optimal prediction distribution is always a delta function at a single value.…

Machine Learning · Computer Science 2019-02-11 Nicholas Guttenberg

As synthetic data proliferates across the Internet, it is often reused to train successive generations of generative models. This creates a ``self-consuming loop" that can lead to training instability or \textit{model collapse}. Common…

Machine Learning · Computer Science 2025-11-18 Zhongteng Cai , Yaxuan Wang , Yang Liu , Xueru Zhang
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