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Workshop

Geometry, Topology, and Computation
June 12 - 14

Heidelberg, Mathematikon
Organizers: Peter Albers, Roman Sauer, Anna Wienhard
website

Stochastics Colloquium

Object Oriented Data Analysis - Steve Marron*
June 14, 15.00-16.00

Mathematikon, Lecture Hall
(*University of North Carolina)

Abstract: The rapid change in computational capabilities had made Big Data a major modern statistical challenge. Less well understood is the rise of Complex Data as a perhaps greater challenge. Object Oriented Data Analysis (OODA) is a framework for addressing this, in particular providing a general approach to the definition, representation, visualization and analysis of Complex Data. The notion of OODA generally guides data analysis, trough providing a useful terminology for interdisciplinary discussion of the many choices typically needed in modern complex data analyses. The main ideas are illustrated via a survey of a number of approaches which integrate differential geometry and Bayesian statistics, yielding powerful image segmentations.