1 citations · 1 across the 2 of their papers we have counts for
5 papers
Parameterized Vietoris-Rips Filtrations via Covers
Bradley J. Nelson
A challenge in computational topology is to deal with large filtered geometric complexes built from point cloud data such as Vietoris-Rips filtrations. This has led to the developm…
Topology-Preserving Dimensionality Reduction via Interleaving Optimization
Bradley J. Nelson, Yuan Luo
Dimensionality reduction techniques are powerful tools for data preprocessing and visualization which typically come with few guarantees concerning the topological correctness of a…
Clustering of Electromagnetic Showers and Particle Interactions with Graph Neural Networks in Liquid Argon Time Projection Chambers Data
Francois Drielsma, Qing Lin, Pierre Côte de Soux +7
Liquid Argon Time Projection Chambers (LArTPCs) are a class of detectors that produce high resolution images of charged particles within their sensitive volume. In these images, th…
Persistent and Zigzag Homology: A Matrix Factorization Viewpoint
Gunnar Carlsson, Anjan Dwaraknath, Bradley J. Nelson
Over the past two decades, topological data analysis has emerged as a field of applied mathematics with new applications and algorithmic developments appearing rapidly. Two fundame…
A Topology Layer for Machine Learning
Rickard Brüel-Gabrielsson, Bradley J. Nelson, Anjan Dwaraknath +3
Topology applied to real world data using persistent homology has started to find applications within machine learning, including deep learning. We present a differentiable topolog…