11 citations · 16 across the 4 of their papers we have counts for
6 papers
Double framed moduli spaces of quiver representations
Marco Armenta, Thomas Brüstle, Souheila Hassoun +1
Motivated by problems in the neural networks setting, we study moduli spaces of double framed quiver representations and give both a linear algebra description and a representation…
Neural Teleportation
Marco Armenta, Thierry Judge, Nathan Painchaud +5
In this paper, we explore a process called neural teleportation, a mathematical consequence of applying quiver representation theory to neural networks. Neural teleportation "telep…
The Representation Theory of Neural Networks
Marco Antonio Armenta, Pierre-Marc Jodoin
In this work, we show that neural networks can be represented via the mathematical theory of quiver representations. More specifically, we prove that a neural network is a quiver r…
On the cap product in Hochschild theory
Marco Armenta
In this paper, we give an axiomatic characterization of the cap product in the Hochschild theory of associative unital algebras which are projective over a commutative unital ring.…
Derived invariance of the Tamarkin--Tsygan calculus of an algebra
Marco Antonio Armenta, Bernhard Keller
We prove that derived equivalent algebras have isomorphic differential calculi in the sense of Tamarkin--Tsygan.
Derived invariance of the cap product in Hochschild theory
Marco A. Armenta A., Bernhard Keller
We prove derived invariance of the cap product for associative algebras projective over a commutative ring.