On the interplay between Statistics and Geometry: A brief overview and some directions for future research
A. Cuevas
The use of geometrically inspired tools has a long tradition in statistics. In this talk I focus on a specific instance of these geometric connections, commonly referred to as “set estimation theory,” which deals with the problem of estimating a closed set S (or certain subsets or functionals of S) from a sample of points whose distribution is related to S. After briefly reviewing the current state of the art, I will outline some directions for future research, with particular emphasis on those connected to the emerging field of manifold learning.
Keywords: set estimation, manifold learning, manifold hypothesis
Scheduled
SEIO Medals
September 3, 2026 12:30 PM
Graduation Hall
Other papers in the same session
D. Romero Morales