5 papers
Unique Ergodicity for Strongly Damped Stochastic Wave Equations under Finite-Rank Pure-Jump Lévy Forcing
Jiangwei Zhang, Jianhua Huang
We study a strongly damped stochastic wave equation on the three-dimensional torus driven by finite-rank pure-jump Lévy noise obtained from subordinated Brownian motion. Lyapunov e…
Self-Consuming Generative Models with Co-Evolving Human Preferences
Xiukun Wei, Tian Xie, Ding Zhu +1
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…
When and How Human Curation Backfires: Preference Alignment under Multi-Model Self-Consuming Loop
Yang Zhang, Xiukun Wei, Xueru Zhang
Foundation models are increasingly trained on synthetic data generated by prior model iterations rather than exclusively on real data. This self-consuming training paradigm can lea…
Market Games for Generative Models: Equilibria, Welfare, and Strategic Entry
Xiukun Wei, Min Shi, Xueru Zhang
Generative model ecosystems increasingly operate as competitive multi-platform markets, where platforms strategically select models from a shared pool and users with heterogeneous…
Self-Consuming Generative Models with Adversarially Curated Data
Xiukun Wei, Xueru Zhang
Recent advances in generative models have made it increasingly difficult to distinguish real data from model-generated synthetic data. Using synthetic data for successive training…