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October 13, 2025Open Access

Weak Generative Sampler for Stationary Distributions of McKean-Vlasov System

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Authors

ZCZhiqiang CaiCLChengyu LiuXZXiang Zhou

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Overview

This method computes stationary distributions in stochastic systems, highlighting effects of phase transitions.

Key Points

  • The proposed weak generative sampler accurately captures stationary distributions across various stochastic models.
  • Numerical experiments confirm its effectiveness in approximating complex systems with phase transitions.
  • The method addresses challenges in simulating the McKean-Vlasov equation under infinite particle limits.
  • Adapting the weak formulation of the Fokker-Planck equation enables precise computation of i.i.d. samples.

Cite This Study

Cai et al. (2025) studied this question.

synapsesocial.com/papers/68ed1896f29694dd1da78bd4https://doi.org/10.48550/arxiv.2509.12841
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