CBMS Conference: Fitting Smooth Functions to Data

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，主题是可拓理论及其在计算机科学、统计学和数据科学中的应用。主讲人是普林斯顿大学数学教授，小赫伯特·e·琼斯教授查尔斯·l·费夫曼。这十堂课将集中讨论插值、函数逼近和流形学习中的问题，这些问题对许多应用领域都是至关重要的。此外，将有四场讲座，由特邀演讲者提供补充主题。Fefferman对Whitney可拓问题的深入数学研究推动了可拓理论的发展。对于有限集上的函数，问题的形式是关于光滑函数插值数据的实际问题。这些问题与更困难的流形学习问题有关，在这个问题中，人们试图通过一个具有合理几何形状的光滑表面，通过有限的点集。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。讲座将设计为具有统计学，计算机科学或数学背景的研究生。欲了解更多信息，请参阅会议网站http://www.ma.utexas.edu/conferences/cbms/This该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

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.