3 papers
cs.LG2021
Topological Deep Learning: Classification Neural Networks
Mustafa Hajij, Kyle Istvan
Topological deep learning is a formalism that is aimed at introducing topological language to deep learning for the purpose of utilizing the minimal mathematical structures to form…
cs.LG2020
Cell Complex Neural Networks
Mustafa Hajij, Kyle Istvan, Ghada Zamzmi
Cell complexes are topological spaces constructed from simple blocks called cells. They generalize graphs, simplicial complexes, and polyhedral complexes that form important domain…
math.GT2019
Framed Knots
Mohamed Elhamdadi, Mustafa Hajij, Kyle Istvan
This article gives a foundational account of various characterizations of framed links in the -sphere.