2 citations · 4 across the 4 of their papers we have counts for
5 papers
Motives meet SymPy: studying -ring expressions in Python
Daniel Sanchez, David Alfaya, Jaime Pizarroso
We present a new Python package called "motives", a symbolic manipulation package based on SymPy capable of handling and simplifying motivic expressions in the Grothendieck ring of…
MonoKAN: Certified Monotonic Kolmogorov-Arnold Network
Alejandro Polo-Molina, David Alfaya, Jose Portela
Artificial Neural Networks (ANNs) have significantly advanced various fields by effectively recognizing patterns and solving complex problems. Despite these advancements, their int…
A mathematical certification for positivity conditions in Neural Networks with applications to partial monotonicity and Trustworthy AI
Alejandro Polo-Molina, David Alfaya, Jose Portela
Artificial Neural Networks (ANNs) have become a powerful tool for modeling complex relationships in large-scale datasets. However, their black-box nature poses trustworthiness chal…
Metric Tools for Sensitivity Analysis with Applications to Neural Networks
Jaime Pizarroso, David Alfaya, José Portela +1
As Machine Learning models are considered for autonomous decisions with significant social impact, the need for understanding how these models work rises rapidly. Explainable Artif…
Simplification of -ring expressions in the Grothendieck ring of Chow motives
David Alfaya
The Grothendieck ring of Chow motives admits two natural opposite -ring structures, one of which is a special structure allowing the definition of Adams operations on the ring.…