49 citations · 83 across the 11 of their papers we have counts for
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Logical Information Cells I
Jean-Claude Belfiore, Daniel Bennequin, Xavier Giraud
In this study we explore the spontaneous apparition of visible intelligible reasoning in simple artificial networks, and we connect this experimental observation with a notion of s…
Superfield equations in the Berezin-Kostant-Leites category
Michel Egeileh, Daniel Bennequin
Using the functor of points, we prove that the Wess-Zumino equations for massive chiral superfields in dimension 4|4 can be represented by supersymmetric equations in terms of supe…
Topos and Stacks of Deep Neural Networks
Jean-Claude Belfiore, Daniel Bennequin
Every known artificial deep neural network (DNN) corresponds to an object in a canonical Grothendieck's topos; its learning dynamic corresponds to a flow of morphisms in this topos…