2 papers
math.GN2026
Persistent Entropy Transform: An entropy-based descriptor for topological data analysis
Victor Toscano-Duran, Miguel A. Gutiérrez Naranjo, Rocio Gonzalez-Diaz
Persistent entropy provides a compact summary of persistence diagrams, but discards geometric information inherent to the data. This limitation creates a gap between scalar summari…
cs.LG2025
Barycentric Neural Networks and Length-Weighted Persistent Entropy Loss: A Green Geometric and Topological Framework for Function Approximation
Victor Toscano-Duran, Rocio Gonzalez-Diaz, Miguel A. Gutiérrez-Naranjo
While artificial neural networks are known as universal approximators for continuous functions, many modern approaches rely on overparameterized architectures with high computation…