“走近数学.感受思维魅力”系列分享会：A Random Integration Algorithm for High-dimensional Function Spaces

报告人：陈亮（九江学院）

报告时间：腾讯会议：707-552-414

报告地点：2024年11月10日（星期日）19:00-20:00

报告摘要：We introduce a novel random integration algorithm that enjoys high convergence order for functions characterized by sparse frequencies or rapidly decaying Fourier coefficients. Specifically, for integration in periodic isotropic Sobolev space and the isotropic Sobolev space with compact support, our approach attains a nearly optimal root mean square error (RMSE) bound. In contrast to previous nearly optimal algorithms, our method exhibits polynomial tractability. Our integration algorithm also e

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