3 papers
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…
cs.LG2025
Molecular Machine Learning Using Euler Characteristic Transforms
Victor Toscano-Duran, Florian Rottach, Bastian Rieck
The shape of a molecule determines its physicochemical and biological properties. However, it is often underrepresented in standard molecular representation learning approaches. He…
cs.RO2025
Safe and Efficient Social Navigation through Explainable Safety Regions Based on Topological Features
Victor Toscano-Duran, Sara Narteni, Alberto Carlevaro +2
The recent adoption of artificial intelligence in robotics has driven the development of algorithms that enable autonomous systems to adapt to complex social environments. In parti…