A Theoretical Perspective: How to Prevent Model Collapse in Self-consuming Training Loops

Fuente: arXiv
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Autores principales: Fu, Shi, Wang, Yingjie, Chen, Yuzhu, Tian, Xinmei, Tao, Dacheng
Formato: Preprint
Publicado: 2025
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author Fu, Shi
Wang, Yingjie
Chen, Yuzhu
Tian, Xinmei
Tao, Dacheng
author_facet Fu, Shi
Wang, Yingjie
Chen, Yuzhu
Tian, Xinmei
Tao, Dacheng
contents 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 Self-consuming Training Loops (STLs). However, the empirical results have been strikingly inconsistent: some models degrade or even collapse, while others successfully avoid these failures, leaving a significant gap in theoretical understanding to explain this discrepancy. This paper introduces the intriguing notion of recursive stability and presents the first theoretical generalization analysis, revealing how both model architecture and the proportion between real and synthetic data influence the success of STLs. We further extend this analysis to transformers in in-context learning, showing that even a constant-sized proportion of real data ensures convergence, while also providing insights into optimal synthetic data sizing.
format Preprint
id arxiv_https___arxiv_org_abs_2502_18865
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Theoretical Perspective: How to Prevent Model Collapse in Self-consuming Training Loops
Fu, Shi
Wang, Yingjie
Chen, Yuzhu
Tian, Xinmei
Tao, Dacheng
Machine Learning
Artificial Intelligence
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 Self-consuming Training Loops (STLs). However, the empirical results have been strikingly inconsistent: some models degrade or even collapse, while others successfully avoid these failures, leaving a significant gap in theoretical understanding to explain this discrepancy. This paper introduces the intriguing notion of recursive stability and presents the first theoretical generalization analysis, revealing how both model architecture and the proportion between real and synthetic data influence the success of STLs. We further extend this analysis to transformers in in-context learning, showing that even a constant-sized proportion of real data ensures convergence, while also providing insights into optimal synthetic data sizing.
title A Theoretical Perspective: How to Prevent Model Collapse in Self-consuming Training Loops
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2502.18865