Topological Data Analysis

The Mapper Algorithm in Action - A Tutorial
Contributed talk to the tutorial-a-thon series organized by AATRN & WinCompTop
Last updated on Nov 25, 2021
Code Video
The Intrinsic Dimension of Images and Its Impact on Learning
It is widely believed that natural image data exhibits low-dimensional structure despite the high dimensionality of conventional pixel …
Phillip Pope, Chen Zhu, Ahmed Abdelkader, Micah Goldblum, Tom Goldstein
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The Intrinsic Dimension of Images and Its Impact on Learning
An Invitation to Topological Data Analysis
Contributed lecture to the Computational Geometry course by David Mount at UMD (CMSC 754)
Last updated on Nov 25, 2021
PDF Slides
Topological distance between nonplanar transportation networks
A key operation in transportation network analysis is to quantify the similarity between networks. This operation, for example, is …
Ahmed Abdelkader, Geoff Boeing, Brittany Fasy, David Millman
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Homology Localization by Hierarchical Blowups
Topological descriptors such as the generators of homol- ogy groups are very useful in the analysis of complex data sets. It is often …
Ahmed Abdelkader
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Machine Learning
Mitigating the vulnerabilities of modern machine learning workflows