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New algorithms for samplings and diffusion models
时间:2024年06月12日 11:13 点击数:

报告人:张希承

报告地点:数学学院415会议室

报告时间:2024年06月17日星期一09:00-10:00

邀请人:郑术蓉

报告摘要:

Drawing from the theory of stochastic differential equations, we introduce  a new sampling method for  known distributions, as well as a new algorithm for diffusion generative models with unknown distributions. Our approach is inspired by the concept of the reverse diffusion process, which has been widespread adoption in diffusion generative models. Furthermore, we compute the explicit convergence rate based on the smooth ODE flow. Numerical experiments exhibit the effectiveness of our method. In particular, unlike the traditional Langevin method, our sampling method does not require any regularity assumptions about the density function of the target distribution. We also apply it to the optimization problem.

主讲人简介:

张希承,北京理工大学数学与统计学院教授。研究方向主要为随机分析及其应用。曾获国家自然科学基金杰出青年项目资助以及国家高层次人才支持计划。目前在国际期刊发表一百余篇学术论文。

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