Geometry and Topology of Data
Offered By: Applied Algebraic Topology Network via YouTube
Course Description
Overview
Explore the intersection of topological data analysis and geometric concepts in this 43-minute lecture by Jürgen Jost. Delve into the fundamental notion of hyperconvexity and its variants, leading to a new concept of generalized curvature for metric spaces. Discover how curvature notions, originating from Riemannian geometry, play a crucial role in metric geometry. Learn about the Riemann curvature tensor and its significance in encoding invariants of Riemannian metrics. Gain insights from joint work with Parvaneh Joharinad, connecting the basic concepts of topological data analysis, such as intersection patterns of distance balls, with geometric principles.
Syllabus
Jürgen Jost (5/13/22): Geometry and Topology of Data
Taught by
Applied Algebraic Topology Network
Related Courses
Topological Data Analysis - New Perspectives on Machine Learning - by Jesse JohnsonOpen Data Science via YouTube Analyzing Point Processes Using Topological Data Analysis
Applied Algebraic Topology Network via YouTube MD Simulations and Machine Learning to Quantify Interfacial Hydrophobicity
Applied Algebraic Topology Network via YouTube Topological Data Analysis of Plant-Pollinator Resource Complexes - Melinda Kleczynski
Applied Algebraic Topology Network via YouTube Hubert Wagner - Topological Data Analysis in Non-Euclidean Spaces
Applied Algebraic Topology Network via YouTube