Statistics for shape and geometric features. Abstracts from the workshop held July 3--9, 2016 (Q1700637)

Summary: The constant emergence of novel technologies result in novel data generating devices and mechanisms that lead to a prevalence of highly complex data. To analyze such data, novel statistical methodologies need to be developed. This workshop addressed challenges that arise in the theoretical analyses of procedures in which \textit{geometry, shape and topology} play central roles. The theoretical ideas involved here intersect deeply with a wide variety of fields, including mathematical statistics, probability theory, computational topology, and computational and differential geometry. The workshop brought together scholars with different perspectives, with the goal of facilitating cross-pollination to spur the development of new ideas, new analytical approaches, and new methods in geometric and shape statistics.