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Nonlinear potential theory and elliptic regularity theory are two classical topics in the modern analysis of partial differential equations. In this talk I show how these themes merge to solve the lon...
这是一个大数据与人工智能的时代,催生了各种各样大规模商务新场景。新场景常常呈现出:大规模、大数据、大模型的特点。这些特点对统计学的理论与计算方法都提出了新挑战,也提供了新机遇。对此,我将通过三个具体的真实案例分享,希望从中能够总结典型的统计学科学问题,洞察未来可能的研究机遇。这三个案例分别来自:金融科技、视频直播、和智慧零售三个不同商务场景。其中科技金融案例将展示如何通过二维码聚合支付数据助力面向...
Solving multi-scale PDEs is difficult in high-dimensional and/or convection-dominant cases. The interacting particle methods (IPM) are shown to outperform solving PDEs directly. Examples include compu...
Tourism managers and practitioners rely on accurate demand forecasting and well-informed management guidance. Given the pandemic's consequences on tourism, future analysis in the during-epidemic era i...
The program opens with four days of tutorials that will provide an introduction to major themes of the entire program and the four workshops. The goal is to build a foundation for the participants of...
Increasingly large data sets are being ingested and produced by simulations. What experience from large-scale simulation is transferable to big data applications? Conversely, what new optimal algorith...
Ocean/atmosphere dynamics result from flow interactions on a wide range of time and space scales. The representation of such complex scale interactions is a key challenge for numerical modeling, reg...
Reverberation of Active Galactic Nuclei (AGNs) is delivering information of parsec scale structure of galactic nuclei from black hole accretion disks, broad line regions to the inner edge of dusty tor...

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