5 papers
Kinetic Mean-Field Planning via Schrödinger Bridges: Existence, Penalization, and Consistency Bounds
Erhan Bayraktar, Zhiyan Ding, Hiroaki Horikawa
We study a mean-field planning problem for a swarm of interacting, non-cooperative agents whose dynamics are stochastic and kinetic. The noise acts on the velocity only, and the in…
Long-time behavior and turnpike properties of linear-quadratic graphon mean field control problems
Erhan Bayraktar, Zhongyuan Cao, Jiamin Jian
We investigate the asymptotic behavior and turnpike properties of graphon mean field control (GMFC) problems in the linear-quadratic setting. We consider both a finite-horizon GMFC…
Quantitative convergence rates for extended mean field games with volatility control
Erhan Bayraktar, Hiroaki Horikawa
We investigate the convergence of symmetric stochastic differential games with interactions via control, where the volatility terms of both idiosyncratic and common noises are cont…
Entropy-Based Dimension-Free Convergence and Loss-Adaptive Schedules for Diffusion Models
Ahmad Aghapour, Erhan Bayraktar, Ziqing Zhang
Diffusion generative models synthesize samples by discretizing reverse-time dynamics driven by a learned score (or denoiser). Existing convergence analyses of diffusion models typi…
Uniform-in-time convergence and turnpike properties of linear-quadratic mean field control problems with common noise
Erhan Bayraktar, Jiamin Jian
We investigate uniform-in-time convergence and turnpike properties for linear-quadratic mean field control problems with common noise. Within a unified framework, we analyze a fini…