3 papers
math.RT2025
Generalized Rank via Minimal Subposet
Thomas Brüstle, Justin Desrochers, Samuel Leblanc
Let be a small, connected category with finite hom-sets. We show that if the embedding of a connected subcategory is both initial and final, then the re…
cs.LG2024
Hidden Activations Are Not Enough: A General Approach to Neural Network Predictions
Samuel Leblanc, Aiky Rasolomanana, Marco Armenta
We introduce a novel mathematical framework for analyzing neural networks using tools from quiver representation theory. This framework enables us to quantify the similarity betwee…
math.KT2018
Batalin-Vilkovisky structure on Hochschild cohomology with coefficients in the dual algebra
Marco Armenta, Samuel Leblanc
We prove that Hochschild cohomology with coefficients in $A^*=\Hom_k(A,k)$ under conditions on the algebra structure of is a Batalin-Vilkovisky algebra. We also show that for…