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This research investigates the long-term dynamics of self-consuming generative models, revealing how iterative curation without external reference data amplifies biases and drives systems toward unstable singleton equilibria. The authors demonstrate that injecting a sufficient rate of reference data fundamentally alters these coupled dynamics, ensuring convergence to a unique, globally attracting equilibrium that preserves desired attributes. By proposing an efficient algorithm to jointly select reference distributions and mixing weights, the study offers a practical method for controlling model evolution while minimizing data collection costs.
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Self-Consuming Generative Models with Co-Evolving Human Preferences

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arXiv:2610.09415v1 Announce Type: new Abstract: Generative models are increasingly trained in self-consuming iterative loops, where users curate preferred samples from model-generated candidates and the curated samples are used to train future generations of the model. Prior work has largely assumed fixed user preferences, but in practice exposure to model outputs gradually reshapes what users perceive as desirable, creating a feedback loop in which model distributions and user preferences co-evolve. We take a first step toward understanding the long-term behavior of such coupled dynamics. We show that when training relies entirely on user-curated synthetic data, iterative curation amplifies initial biases and drives the system toward one of multiple singleton equilibria in which the instance holding an initial advantage eventually dominates. In contrast, injecting reference data into training at a sufficiently large rate fundamentally changes the dynamics and yields a unique globally attracting equilibrium. Building on this insight, we study how reference-data injection can be used to control long-term outcomes, and propose an efficient algorithm that jointly selects a reference distribution and its mixing weight to steer the coupled system toward equilibria that preserve desired attributes while minimizing data collection costs.

Abstract:Generative models are increasingly trained in self-consuming iterative loops, where users curate preferred samples from model-generated candidates and the curated samples are used to train future generations of the model. Prior work has largely assumed fixed user preferences, but in practice exposure to model outputs gradually reshapes what users perceive as desirable, creating a feedback loop in which model distributions and user preferences co-evolve. We take a first step toward understanding the long-term behavior of such coupled dynamics. We show that when training relies entirely on user-curated synthetic data, iterative curation amplifies initial biases and drives the system toward one of multiple singleton equilibria in which the instance holding an initial advantage eventually dominates. In contrast, injecting reference data into training at a sufficiently large rate fundamentally changes the dynamics and yields a unique globally attracting equilibrium. Building on this insight, we study how reference-data injection can be used to control long-term outcomes, and propose an efficient algorithm that jointly selects a reference distribution and its mixing weight to steer the coupled system toward equilibria that preserve desired attributes while minimizing data collection costs.

Machine Learning (cs.LG)

arXiv:2610.09415 [cs.LG]

(or arXiv:2610.09415v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2610.09415 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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