The Shape of Relations: Knots and Other Stories in Topological Data Analysis

Explore the fascinating world of Topological Data Analysis in this 59-minute conference talk by Radmila Sazdanovic, presented by the Applied Algebraic Topology Network. Discover how TDA tools can uncover relevant features in data by analyzing the shape of point clouds. Learn about innovative techniques for visualizing maps between high-dimensional spaces, aimed at revealing relationships between correlated datasets. Delve into the adaptation of TDA tools for analyzing infinite datasets where representative sampling is challenging or impractical, and understand their synergy with machine learning techniques. Focus on practical applications, primarily in analyzing relations between knot invariants, with additional examples from game theory and cancer genomics. Gain insights into collaborative research efforts with P. Dlotko and D. Gurnari, expanding your understanding of advanced data analysis methods in topology and beyond.