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Title: Statistical depth for multivariate and functional data: Recent progress and perspectives Authors:  Stanislav Nagy - Charles University (Czech Republic) [presenting]
Abstract: Statistical depth is a tool of nonparametric analysis that generalises quantiles, rankings, and orderings to multivariate and non-Euclidean data. While a rich body of literature on various depths and depth-like procedures exists, many open problems still stimulate research in the area. We draw interesting connections of depth with topics firmly established in convex geometry and statistical machine learning. These observations allow us to resolve several open problems of statistical depth.