1 citations · 1 across the 6 of their papers we have counts for
5 papers
Perturbative Expansion of Yang-Baxter Operators
Emanuele Zappala
We study the deformations of a wide class of Yang-Baxter (YB) operators arising from Lie algebras. We relate the higher order deformations of YB operators to Lie algebra deformatio…
The exact evaluation of hexagonal spin-networks and topological quantum neural networks
Matteo Lulli, Antonino Marciano, Emanuele Zappala
The physical scalar product between spin-networks has been shown to be a fundamental tool in the theory of topological quantum neural networks (TQNN), which are quantum neural netw…
Operator Learning Meets Numerical Analysis: Improving Neural Networks through Iterative Methods
Emanuele Zappala, Daniel Levine, Sizhuang He +3
Deep neural networks, despite their success in numerous applications, often function without established theoretical foundations. In this paper, we bridge this gap by drawing paral…
Deformations of Yang-Baxter operators via -Lie algebra cohomology
Mohamed Elhamdadi, Emanuele Zappala
We introduce a cohomology theory of -ary self-distributive objects in the tensor category of vector spaces that classifies their infinitesimal deformations. For -ary self-dis…
Extensions of Augmented Racks and Surface Ribbon Cocycle Invariants
Masahico Saito, Emanuele Zappala
A rack is a set with a binary operation that is right-invertible and self-distributive, properties diagrammatically corresponding to Reidemeister moves II and III, respectively. A…