6 papers
Self-fictitious-play for Potential Monotone Ergodic Mean-field Games
Yupeng Bai, Mathieu Laurière, Zhenjie Ren +1
We investigate long-time learning in ergodic, potential, monotone mean-field games (MFGs) via a self-fictitious-play (SFP) dynamics coupling an optimally controlled diffusion with…
Continuous-time q-learning for mean-field control with common noise, part-II: q-learning algorithms
Zhenjie Ren, Xiaoli Wei, Xiang Yu +1
This paper is a continuation work of Ren et al. (2026) aiming to further devise q-learning algorithms for mean-field control (MFC) with controlled common noise. Based on the relaxe…
Continuous-time q-learning for mean-field control with common noise, part-I: Theoretical foundations
Zhenjie Ren, Xiaoli Wei, Xiang Yu +1
This paper investigates the continuous-time counterpart of the Q-function for entropy-regularized mean-field control (MFC) with controlled common noise, coined as q-function by Jia…
Quantitative weak propagation of chaos for McKean--Vlasov branching diffusion processes
Wenjing Cao, Zhenjie Ren, Xiaolu Tan
We study in this paper the weak propagation of chaos for McKean--Vlasov diffusions with branching, whose induced marginal measures are nonnegative finite measures but not necessary…
Dimension-free error estimate for diffusion model and optimal scheduling
Valentin de Bortoli, Romuald Elie, Anna Kazeykina +2
Diffusion generative models have emerged as powerful tools for producing synthetic data from an empirically observed distribution. A common approach involves simulating the time-re…
Uniform-in-time propagation of chaos for mean field Langevin dynamics
Fan Chen, Zhenjie Ren, Songbo Wang
We study the mean field Langevin dynamics and the associated particle system. By assuming the functional convexity of the energy, we obtain the -convergence of the marginal di…