Research

I'm interested in porting the concepts of topology into data analysis and machine learning. Developing the theory and the computational algorithms for high performance implementations.

Persistent Homology
2026
It's all about covers: persistent homology of cover refinements

António Leitão - arXiv

2024
Time-optimal persistent homology representatives for univariate time series

António Leitão, Nina Otter - arXiv

2021
Topological expressive power of Neural Networks

Giovanni Petri, António Leitão - TDA & Beyond, NeurIPS

2020
On the Topological Complexity of Decision Boundaries

António Leitão, Giovanni Petri - SIS

Animal Communication
2026
Description of a collaborative sperm whale birth and shifts in coda vocal styles during key events

Yaniv Aluma, Zethra Baron, ..., António Leitão, et al. (for the CETI Project). - Scientific Reports

2024
Evidence of social learning across cultural boundaries in Sperm Whales

António Leitão, Maxime Lucas, Simone Poetto, Taylor A Hersh, Shane Gero, David Gruber, Michael Bronstein, Giovanni Petri - eLife