Data, their shape, and beyond

Abstract: In contemporary science we are exposed to vast amounts of data. Understanding them is often helpful, sometimes essential, to make considerable progress in the field. Mathematics, and mathematical statistics, offer a wealth of tools allowing for better understanding of data. Most tools concentrate on the quantitative characterization of data, rather than understanding their layout, or shape. To fill in the gap, in my Dioscuri Centre in Topological Data Analysis, we are developing new techniques to quantify the shape of data and provide visualizations which, in the next step, deliver new knowledge. Our methods apply for a large variety of inputs, including high dimensional samples, time series, images, correlation patterns and more. In this talk, I will give a brief and intuitive overview of our methods with a hope that you may find them beneficial in your research. A showcase of the current usages of our methodology will provide both an important motivation for, and driving force to, our research.

geometric topology

Audience: researchers in the topic

( video )

GEOTOP-A seminar

Series comments: Web-seminar series on Applications of Geometry and Topology