research
∙
09/14/2023
Malicious Cyber Activity Detection Using Zigzag Persistence
In this study we synthesize zigzag persistence from topological data ana...
share
research
∙
09/12/2023
G-Mapper: Learning a Cover in the Mapper Construction
The Mapper algorithm is a visualization technique in topological data an...
research
∙
02/06/2023
Topological Analysis of Temporal Hypergraphs
In this work we study the topological properties of temporal hypergraphs...
research
∙
12/01/2022
Experimental Observations of the Topology of Convolutional Neural Network Activations
Topological data analysis (TDA) is a branch of computational mathematics...
research
∙
08/14/2022
The SVD of Convolutional Weights: A CNN Interpretability Framework
Deep neural networks used for image classification often use convolution...
research
∙
04/03/2022
Proceedings of TDA: Applications of Topological Data Analysis to Data Science, Artificial Intelligence, and Machine Learning Workshop at SDM 2022
Topological Data Analysis (TDA) is a rigorous framework that borrows tec...
research
∙
05/21/2021
Sheaves as a Framework for Understanding and Interpreting Model Fit
As data grows in size and complexity, finding frameworks which aid in in...
research
∙
04/22/2021
Topological Simplifications of Hypergraphs
We study hypergraph visualization via its topological simplification. We...
research
∙
11/17/2020
Argumentative Topology: Finding Loop(holes) in Logic
Advances in natural language processing have resulted in increased capab...
research
∙
08/10/2020
Directional Laplacian Centrality for Cyber Situational Awareness
Cyber operations is drowning in diverse, high-volume, multi-source data....
research
∙
06/12/2019
Relative Hausdorff Distance for Network Analysis
Similarity measures are used extensively in machine learning and data sc...
research
∙
03/20/2019
Local Versus Global Distances for Zigzag Persistence Modules
This short note establishes explicit and broadly applicable relationship...
research
∙
12/13/2018
The Relationship Between the Intrinsic Cech and Persistence Distortion Distances for Metric Graphs
Metric graphs are meaningful objects for modeling complex structures tha...
research
∙
12/18/2017