56 citations · 106 across the 17 of their papers we have counts for
3 papers · 1 filter
Topological Parallax: A Geometric Specification for Deep Perception Models
Abraham D. Smith, Michael J. Catanzaro, Gabrielle Angeloro +2
For safety and robustness of AI systems, we introduce topological parallax as a theoretical and computational tool that compares a trained model to a reference dataset to determine…
Improving Metric Dimensionality Reduction with Distributed Topology
Alexander Wagner, Elchanan Solomon, Paul Bendich
We propose a novel approach to dimensionality reduction combining techniques of metric geometry and distributed persistent homology, in the form of a gradient-descent based method…
Supervised Learning of Labeled Pointcloud Differences via Cover-Tree Entropy Reduction
Abraham Smith, Paul Bendich, John Harer +2
We introduce a new algorithm, called CDER, for supervised machine learning that merges the multi-scale geometric properties of Cover Trees with the information-theoretic properties…