1 citations · 2 across the 7 of their papers we have counts for
14 papers
Experimental Observations of the Topology of Convolutional Neural Network Activations
Emilie Purvine, Davis Brown, Brett Jefferson +6
Topological data analysis (TDA) is a branch of computational mathematics, bridging algebraic topology and data science, that provides compact, noise-robust representations of compl…
Proceedings of TDA: Applications of Topological Data Analysis to Data Science, Artificial Intelligence, and Machine Learning Workshop at SDM 2022
R. W. R. Darling, John A. Emanuello, Emilie Purvine +1
Topological Data Analysis (TDA) is a rigorous framework that borrows techniques from geometric and algebraic topology, category theory, and combinatorics in order to study the "sha…
Sheaves as a Framework for Understanding and Interpreting Model Fit
Henry Kvinge, Brett Jefferson, Cliff Joslyn +1
As data grows in size and complexity, finding frameworks which aid in interpretation and analysis has become critical. This is particularly true when data comes from complex system…
Topological Simplifications of Hypergraphs
Youjia Zhou, Archit Rathore, Emilie Purvine +1
We study hypergraph visualization via its topological simplification. We explore both vertex simplification and hyperedge simplification of hypergraphs using tools from topological…
Argumentative Topology: Finding Loop(holes) in Logic
Sarah Tymochko, Zachary New, Lucius Bynum +4
Advances in natural language processing have resulted in increased capabilities with respect to multiple tasks. One of the possible causes of the observed performance gains is the…
Hypergraph Models of Biological Networks to Identify Genes Critical to Pathogenic Viral Response
Song Feng, Emily Heath, Brett Jefferson +25
Background: Representing biological networks as graphs is a powerful approach to reveal underlying patterns, signatures, and critical components from high-throughput biomolecular d…