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math.AT2025
Sheaf theory: from deep geometry to deep learning
Anton Ayzenberg, Thomas Gebhart, German Magai +1
This paper provides an overview of the applications of sheaf theory in deep learning, data science, and computer science in general. The primary text of this work serves as a frien…
math.AT2023
Coverings by open and closed hemispheres
Anton Ayzenberg, Maxim Beketov, German Magai
In this paper we study the nerves of two types of coverings of a sphere : (1) coverings by open hemispheres; (2) antipodal coverings by closed hemispheres. In the first ca…