Hubert Wagner - Topological Data Analysis in Non-Euclidean Spaces

Explore topological data analysis techniques for non-Euclidean and non-metric spaces in this 57-minute talk by Hubert Wagner. Learn about adapting existing TDA tools for these contexts, understand important caveats, and discover a recent successful application in detecting backdoor attacks on neural networks. Delve into topics such as information retrieval, Euclidean distance, editor check filtration, and theoretical justifications. Gain insights on distance measurements between points, trojan attack detection, and the use of multiple distance measures in classification. Conclude with a summary, inspiration, and a Q&A session to deepen your understanding of TDA in complex data spaces.

Introduction
Information retrieval
Euclidean distance
Editor
Check filtration
Experiments
Theoretical justifications
Distance between two points
trojan attack detection
summary
inspiration
multiple distance measures
classification
QA