This HIM Conference is a week-long event, which will take place within the framework of the Dual Trimester Program "Geometric Statistics: theory, application, and computation".
Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this Conference, are eligible to attend this event. Beyond this, researchers from the HCM, in particular, early-career researchers, are welcome upon request.
Everyone will be notified in due time about whether participation and partial financial support is possible. After being selected as participant, you will be invited to register.
Scientific Organizers:
- Ezra Miller (Duke University)
- Wilderich Tuschmann (Karlsruhe Institute of Technology)
- Zhigang Yao (National University of Singapore)
Description:
The world is witnessing an explosion in abundance of "complicated data" with geometric structure and a growing need for its statistical analysis. In the last century, substantial progress had largely focused on suitably linearizing such data and subjecting it to classical statistical methods. With the advent of increased computational power, more elaborate novel intrinsic methodology has been developed. This has led, on the one hand, to design of highly sophisticated new statistical descriptors (e.g. in persistenthomology) and, on the other hand, to discovery of non-Euclidean limiting behaviors of such descriptors. These have linked geometry and statistics in an unanticipated and quite unprecedented way. This currently evolving new field "Statistics of Data with Geometric Structure" requires intense collaboration across mathematical disciplines that have been traditionally remote: statistics, probability, optimization, and machine learning on one side, and combinatorics, topology, and geometry on the other side. This conference brings together specialists from the disciplines of this trimester program to discuss fundamental questions raised by the program and looking toward the future. This meeting is the third in the ISAG series, following ISAGI and ISAG II.