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Self-Consuming Generative Models with Co-Evolving Human Preferences
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Studies self-consuming generative retraining where user preferences co-evolve with model outputs; shows pure curation leads to singleton lock-in, reference-data mixing gives a unique globally attracting equilibrium, and proposes an LP-based algorithm to pick reference distribution and mixing weight at minimum cost.
Problem
Long-term behavior of self-consuming generative model retraining with human curation when user preferences are not fixed but shift in response to model outputs; how to steer equilibria to preserve attributes at low data-collection cost.
Approach
Models a coupled (model distribution, preference vector) dynamical system with K-way Luce curation and preference drift toward the model's mean feature; proves winner lock-in without reference data and global contraction with sufficient reference mixing, then relaxes the bilevel design problem into a family of linear programs indexed by the mixing weight.
Key results
- Under pure synthetic curation (eta=1, CIFAR-10 OT-CFM), airplane proportion rises from ~10% to >95% over 20 rounds with preference locking to airplane.
- With 90% uniform reference data (eta=0.1), class proportions stay near uniform and runs from different initializations converge to a similar equilibrium.
- Designed reference achieves protected classes at >=0.08 at round 20 with eta=0.67, versus uniform baselines requiring lower synthetic ratios.
Surprising findings
- Pure self-consuming curation with strong selection drives output to a single class within 20 rounds, even from a mild initial bias.
Limitations
- Contraction condition eta(L_p+2L_w)<1 uses worst-case Lipschitz constants and is conservative.
- Assumes exact observability of feature map and preferences and a single aggregate preference vector.
- Experiments use single runs per setting due to compute cost.
Experimental setup
Datasets: CIFAR-10 AG News
Benchmarks: CIFAR-10 AG News
Metrics: per-class generation proportion preference vector trajectory minimum class proportion vs threshold collection cost
Baselines: uniform reference data mixing
Builds on: Performative prediction Bradley-Terry model Self-consuming generative models Repeated risk minimization
Closest papers by meaning
- Self-Consuming Generative Models with Curated Data Provably Optimize Human Preferences (NeurIPS 2024 · similarity 0.91)
- Stability and Diversity of Networked Self-Consuming Generative Ecosystems (NeurIPS 2026 · similarity 0.90)
- Self-Consuming Generative Models with Adversarially Curated Data (ICML 2025 · similarity 0.90)
- A Theoretical Perspective: How to Prevent Model Collapse in Self-consuming Training Loops (ICLR 2025 · similarity 0.88)
- Towards Theoretical Understandings of Self-Consuming Generative Models (ICML 2024 · similarity 0.88)
- The two clocks and the innovation window: When and how generative models learn rules (NeurIPS 2026 · similarity 0.87)
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