Talks
Fall 2021

Geometry Aware Exploratory Data Analysis

Thursday, January 12th, 2023, 9:30 am10:15 am

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Calvin Lab Auditorium

In this talk I will propose new tools for the exploratory data analysis of data objects taking values in a general separable metric space. I will introduce depth profiles, where the depth profile of a point ω in the metric space refers to the distribution of the distances between ω and the data objects. I will describe how depth profiles can be harnessed to define transport ranks, which capture the centrality of each element in the metric space with respect to the data cloud. Finally, I will discuss the properties of transport ranks and show how they can be an effective device for detecting and visualizing patterns in samples of object data.