Author

Ferran Hernandez Caralt

2 papers indexed here

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Preprint Oct 2026

Cup and Cap Topological Neural Network

The Cup and Cap Topological Neural Network is formulated, a topological deep learning architecture designed to learn node-based variables (or 0-cochains) by taking into account their many-body interactions (e.g. triangles) present in the data.

Marta Niedostatek, Ferran Hernandez Caralt, Run-Yue Wang et al. · 0 citations

#machine learning Preprint Oct 2026

Get a GRIP, this will be a long TRIP: A Quantifiable Long-Range Framework for Verifying Over-squashing

This work introduces TRIP and its generalisation GRIP and its generalisation GRIP, constructive procedures that turn any graph into a provably long-ranged task by drawing features from stable distributions, and formally proves that violating any one of them admits failure modes that undermine conclusions drawn from the...

Ferran Hernandez Caralt, Simon Heilig, A. Bazaga et al. · 1 citation