34 citations · 38 across the 5 of their papers we have counts for
5 papers
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…
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…
A Topological Framework for Deep Learning
Mustafa Hajij, Kyle Istvan
We utilize classical facts from topology to show that the classification problem in machine learning is always solvable under very mild conditions. Furthermore, we show that a soft…
Framed Knots
Mohamed Elhamdadi, Mustafa Hajij, Kyle Istvan
This article gives a foundational account of various characterizations of framed links in the -sphere.
The Kauffman Polynomial of Periodic Links
Khaled Qazaqzeh, Ayman Aboufattoum, Kyle Istvan
We give a congruence relating a one variable specialization of the two variable Kauffman polynomial of any periodic link to that of its mirror image. Consequently, we obtain a new…