报告题目 (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应用)
报告人 (Speaker):翟佳羽 助理教授(上海科技大学)
报告时间 (Time):2025年6月13日(周五)11:00
报告地点 (Place):宝山校区GJ303
邀请人(Inviter):纪丽洁
主办部门:理学院数学系
摘要: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.