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math.CT2022
Graph Convolutional Neural Networks as Parametric CoKleisli morphisms
Bruno Gavranović, Mattia Villani
We define the bicategory of Graph Convolutional Neural Networks for an arbitrary graph with nodes. We show it can be factored through the already existing cat…
math.CT2022★ 1 cited
Space-time tradeoffs of lenses and optics via higher category theory
Bruno Gavranović
Optics and lenses are abstract categorical gadgets that model systems with bidirectional data flow. In this paper we observe that the denotational definition of optics - identifyin…