The Seminar in Geometry and Statistics takes place monthly at the Department of Mathematics and Data Science of VUB (Building G, Sixth Floor, Room 6.60). It is flexible in terms of schedule and topics, though topics revolve around geometry and statistics.
DATE: Thursday 13 February 2025 at 14:00
SPEAKER: Diego Bolón Rodríguez (ULB)
TITLE: A review on highest density region estimation
ABSTRACT: Highest density regions (HDRs in short) are sets where the density function of the data exceeds a given (and usually high) threshold. Estimating the HDRs of a population from a data sample is a useful tool for data visualization, cluster analysis, and outlier detection. Due to its practical utility, HDR estimation for Euclidean data has been widely considered in the literature. However, HDR estimation in other contexts has only been addressed very recently. In this talk, we introduce the different techniques developed for HDR estimation in the Euclidean context. This introduction allows us to highlight the particular issues of this specific problem, such as how to measure consistency in this context. Then, we explore recent efforts to extend these techniques for populations supported on a manifold, including a novel approach that combines a density function estimator with some a priori geometric information.
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DATE: Somewhere between 17 and 21 March 2024
SPEAKER: Mauricio Che (University of Vienna)
TITLE: TBA
ABSTRACT: TBA
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DATE: Thursday 23 January 2025 at 14:00
SPEAKER: Eddie Aamari (École Normale Supérieure de Paris)
TITLE: A theory of stratification learning: clustering-by-dimensionality with reconstruction
DATE: Thursday 12 December 2024 at 14:00
SPEAKER: Susovan Pal (VUB)
TITLE: Optimal lift, a tool for statistical testing on Singular Shape Spaces
DATE: Wednesday 13 November 2024 at 14:00
SPEAKER: Claire Brécheteau (Nantes Université)
TITLE: Statistical tests for uniformity and iidness on homogeneous spaces
DATE: Wednesday 11 September 2024 at 11:00
SPEAKER: Pierre-Antoine Absil (UCLouvain)
TITLE: Feasible and Infeasible Optimization on Manifolds