4 papers
Space filling positionality and the Spiroformer
M. Maurin, M. Á. Evangelista-Alvarado, P. Suárez-Serrato
Transformers excel when dealing with sequential data. Generalizing transformer models to geometric domains, such as manifolds, we encounter the problem of not having a well-defined…
SymFlux: deep symbolic regression of Hamiltonian vector fields
M. A. Evangelista-Alvarado, P. Suárez-Serrato
We present SymFlux, a novel deep learning framework that performs symbolic regression to identify Hamiltonian functions from their corresponding vector fields on the standard sympl…
On Computational Poisson Geometry II: Numerical Methods
M. Evangelista-Alvarado, J. C. Ruíz-Pantaleón, P. Suárez-Serrato
We present twelve numerical methods for evaluation of objects and concepts from Poisson geometry. We describe how each method works with examples, and explain how it is executed in…
On Computational Poisson Geometry I: Symbolic Foundations
M. A. Evangelista-Alvarado, J. C. Ruíz-Pantaleón, P. Suárez-Serrato
We present a computational toolkit for (local) Poisson-Nijenhuis calculus on manifolds. Our python module implements our algorithms, and accompanies this…