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Related papers: A Probabilistic Perspective on Model Collapse

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It is known that recursive training from generative models can lead to the so called `collapse' of the simulated probability distribution. This note shows that one in fact gets two different asymptotic behaviours depending on whether an…

Probability · Mathematics 2025-09-30 Vivek Shripad Borkar

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 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

In the era of proliferation of large language and image generation models, the phenomenon of "model collapse" refers to the situation whereby as a model is trained recursively on data generated from previous generations of itself over time,…

Machine Learning · Computer Science 2024-05-02 Elvis Dohmatob , Yunzhen Feng , Julia Kempe

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

Within the scaling laws paradigm, which underpins the training of large neural networks like ChatGPT and Llama, we consider a supervised regression setting and establish the existance of a strong form of the model collapse phenomenon, a…

Machine Learning · Computer Science 2024-10-10 Elvis Dohmatob , Yunzhen Feng , Arjun Subramonian , Julia Kempe

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

Synthetic data has been increasingly used to train frontier generative models. However, recent studies raise key concerns that iteratively retraining a generative model on its self-generated synthetic data may keep deteriorating model…

Machine Learning · Statistics 2026-03-09 Bingji Yi , Qiyuan Liu , Yuwei Cheng , Haifeng Xu

This paper presents a neural network filter method based on contraction operators to address model collapse in recursive training of generative models. Unlike \cite{xu2024probabilistic}, which requires superlinear sample growth…

Machine Learning · Computer Science 2025-12-02 Zongjian Han , Yiran Liang , Ruiwen Wang , Yiwei Luo , Yilin Huang , Xiaotong Song , Dongqing Wei

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

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 modeling of probability distributions, specifically generative modeling and density estimation, has become an immensely popular subject in recent years by virtue of its outstanding performance on sophisticated data such as images and…

Machine Learning · Statistics 2023-01-02 Hongkang Yang

Closed-loop learning is the process of repeatedly estimating a model from data generated from the model itself. It is receiving great attention due to the possibility that large neural network models may, in the future, be primarily trained…

Machine Learning · Computer Science 2025-07-10 Fariba Jangjoo , Matteo Marsili , Yasser Roudi

Many automated system analysis techniques (e.g., model checking, model-based testing) rely on first obtaining a model of the system under analysis. System modeling is often done manually, which is often considered as a hindrance to adopt…

Software Engineering · Computer Science 2019-11-22 Jingyi Wang , Jun Sun , Qixia Yuan , Jun Pang

Unsupervised neural grammar induction aims to learn interpretable hierarchical structures from language data. However, existing models face an expressiveness bottleneck, often resulting in unnecessarily large yet underperforming grammars.…

Computation and Language · Computer Science 2025-09-26 Jinwook Park , Kangil Kim

Autonomous machine learning systems that learn many tasks in sequence are prone to the catastrophic forgetting problem. Mathematical theory is needed in order to understand the extent of forgetting during continual learning. As a…

Machine Learning · Computer Science 2025-02-18 Daniel Goldfarb , Paul Hand

Large language models increasingly rely on synthetic data due to human-written content scarcity, yet recursive training on model-generated outputs leads to model collapse, a degenerative process threatening factual reliability. We define…

Computation and Language · Computer Science 2025-09-08 Figarri Keisha , Zekun Wu , Ze Wang , Adriano Koshiyama , Philip Treleaven

Recursive retraining of generative models poses a critical representation challenge: when synthetic outputs are curated based on a fixed reward signal, the model tends to collapse onto a narrow set of outputs that over-optimize that…

Machine Learning · Computer Science 2026-05-11 Ali Falahati , Mohammad Mohammadi Amiri , Kate Larson , Lukasz Golab

Recursive learning -- where models are trained on data generated by previous versions of themselves -- is increasingly common in large language models, autonomous agents, and self-supervised systems. However, standard performance metrics…

Machine Learning · Computer Science 2026-05-20 Zhipeng Zhang

Recent studies identified an intriguing phenomenon in recursive generative model training known as model collapse, where models trained on data generated by previous models exhibit severe performance degradation. Addressing this issue and…

Machine Learning · Statistics 2025-10-10 Hengzhi He , Shirong Xu , Guang Cheng
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