Measure Theoretic Reeb Graphs
Offered By: Applied Algebraic Topology Network via YouTube
Course Description
Overview
Explore the innovative concept of measure-theoretic Reeb graphs in this 56-minute lecture from the Applied Algebraic Topology Network. Delve into a novel construction of Reeb graphs that incorporates measures, enhancing their robustness in representing topological features of scalar fields. Learn about the stability of Reeb graphs with local smoothing and their application to metric measure spaces. Discover how these advanced techniques utilize distance to measure and kernel distance to measure, providing a more comprehensive understanding of scalar functions on topological spaces.
Syllabus
Qingsong Wang (06/19/24): Measure Theoretic Reeb Graphs
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