亿万先生MR

深度自适应采样及其在代理模型中的利用

2025.06.13

投稿:邵奋芬部门:理学院浏览次数:

活动信息

汇报标题 (Title):Deep Adaptive Sampling and its Application on Surrogates(深度自适应采样及其在代理模型中的利用)

汇报人 (Speaker):翟佳羽 助理教授(上?萍即笱В

汇报功夫 (Time):2025年6月13日(周五)11:00

汇报地址 (Place):宝山校区GJ303

约请人(Inviter):纪丽洁

主办部门:理学院数学系

提要:We present two deep adaptive sampling methods and apply one to surrogate modeling of low-regularity parametric differential equations and illustrate that this mechanism is necessary for constructing surrogate models, to deal with the sampling problem in high dimensional parameter and physics spaces, with a relatively small sample size. Both the surrogate model and sampling model are approximated with deep neural networks. In particular, the sampling model is a normalizing flow, so that the sampling is immediate. We demonstrate the effectiveness of the proposed method with a series of numerical experiments.

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