YoVDO

Universality of Persistence Diagrams and Bottleneck & Wasserstein Distances

Offered By: Applied Algebraic Topology Network via YouTube

Tags

Applied Algebraic Topology Courses Data Analysis Courses Wasserstein Distances Courses Persistence Diagrams Courses

Course Description

Overview

Explore the mathematical concepts of persistence diagrams and their associated metrics in this 28-minute lecture. Delve into the universality of persistence diagrams and gain a deeper understanding of bottleneck and Wasserstein distances. Learn how these tools are applied in topological data analysis and their significance in capturing the shape and structure of data. Discover the theoretical foundations and practical applications of these concepts as presented by Alex Elchesen from the Applied Algebraic Topology Network.

Syllabus

Alex Elchesen (1/14/21): Universality of Persistence Diagrams and Bottleneck & Wasserstein Distances


Taught by

Applied Algebraic Topology Network

Related Courses

Regularization for Optimal Transport and Dynamic Time Warping Distances - Marco Cuturi
Alan Turing Institute via YouTube Analysis of Mean-Field Games - Lecture 1
International Centre for Theoretical Sciences via YouTube Why Should Q=P in the Wasserstein Distance Between Persistence Diagrams?
Applied Algebraic Topology Network via YouTube Washington Mio - Stable Homology of Metric Measure Spaces
Applied Algebraic Topology Network via YouTube Wasserstein Distributionally Robust Optimization - Theory and Applications in Machine Learning
Institute for Pure & Applied Mathematics (IPAM) via YouTube