CBMS Conference: Fitting Smooth Functions to Data

CBMS 会议：将平滑函数拟合到数据

• 批准号: 1836396
• 负责人: Arie Israel
• 金额: $ 3.5万
• 依托单位: University of Texas at Austin
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-09-01 至 2020-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1836396&HistoricalAwards=false
• 关键词: CBMS; Conference; Fitting; Smooth; Functions

This award will support an NSF - CBMS regional conference to be held during the week of August 19-23, 2019 at the University of Texas at Austin on topics in extension theory with applications to computer science, statistics, and data science. The principal speaker is Charles L. Fefferman, Herbert E. Jones, Jr. Professor of Mathematics at Princeton University. The ten lectures will focus on problems in interpolation, function approximation, and manifold learning, which are of central importance to many applied fields. In addition, there will be four lectures on complementary topics delivered by invited speakers.Recent progress in extension theory has been driven by deep mathematical work of Fefferman on Whitney's extension problem. When the problem is formulated for functions on finite sets, it takes the form of a practical question about the interpolation of data by smooth functions. These problems are related to the more difficult problem of manifold learning, in which one attempts to pass a smooth surface with reasonable geometry through a finite set of points. The interdisciplinary nature of the featured topics will promote new avenues of research and collaboration between a diverse set of communities. Lectures will be designed to be accessible to graduate students with a background in statistics, computer science, or mathematics. For more information, see the conference website http://www.ma.utexas.edu/conferences/cbms/This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该奖项将支持将于2019年8月19日至23日在德克萨斯大学奥斯汀分校举行的NSF - CBMS区域会议，主题为扩展理论与计算机科学，统计学和数据科学的应用。主讲人是查尔斯·L。作者声明：赫伯特E.小琼斯普林斯顿大学数学教授。十个讲座将集中在插值，函数逼近和流形学习，这是许多应用领域的核心重要性的问题。此外，将有四个讲座互补的主题由特邀演讲者提供。最近的进展，在扩展理论已被驱动的深入数学工作的February man惠特尼的扩展问题。当这个问题是制定的功能有限集，它采取的形式是一个实际问题的插值数据的光滑功能。这些问题与更困难的流形学习问题有关，在流形学习中，人们试图通过一组有限的点来传递具有合理几何形状的光滑表面。特色主题的跨学科性质将促进不同社区之间的研究和合作的新途径。讲座将被设计为具有统计学，计算机科学或数学背景的研究生可以访问。欲了解更多信息，请参阅会议网站http://www.ma.utexas.edu/conferences/cbms/This奖项反映了NSF的法定使命，并已被认为值得通过使用基金会的智力价值和更广泛的影响审查标准进行评估的支持。