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Xiuyuan Cheng

Professor of Mathematics
Mathematics
120 Science Drive, P.O. Box 90320, Durham, NC 27708
120 Science Drive, 293 Physics Building, Durham, NC 27708

Scholarly Works - Preprints


Posterior sampling via Langevin dynamics based on generative priors

Preprint · October 2, 2024 Posterior sampling in high-dimensional spaces using generative models holds significant promise for various applications, including but not limited to inverse problems and guided generation tasks. Despite many recent developments, generating diverse poster ... Link to item Cite

Convergence of flow-based generative models via proximal gradient descent in Wasserstein space

Preprint · October 26, 2023 Flow-based generative models enjoy certain advantages in computing the data generation and the likelihood, and have recently shown competitive empirical performance. Compared to the accumulating theoretical studies on related score-based diffusion models, ... Link to item Cite