1 citations · 1 across the 3 of their papers we have counts for
4 papers
Topological Signatures of ReLU Neural Network Activation Patterns
Vicente Bosca, Tatum Rask, Sunia Tanweer +2
This paper explores the topological signatures of ReLU neural network activation patterns. We consider feedforward neural networks with ReLU activation functions and analyze the po…
Learning on Persistence Diagrams as Radon Measures
Alex Elchesen, Iryna Hartsock, Jose A. Perea +1
Persistence diagrams are common descriptors of the topological structure of data appearing in various classification and regression tasks. They can be generalized to Radon measures…
Poincaré Duality for Generalized Persistence Diagrams of (co)Filtrations
Amit Patel, Tatum Rask
We dualize previous work on generalized persistence diagrams for filtrations to cofiltrations. When the underlying space is a manifold, we express this duality as a Poincaré dualit…
Toroidal Coordinates: Decorrelating Circular Coordinates With Lattice Reduction
Luis Scoccola, Hitesh Gakhar, Johnathan Bush +4
The circular coordinates algorithm of de Silva, Morozov, and Vejdemo-Johansson takes as input a dataset together with a cohomology class representing a -dimensional hole in the…