3 citations · 3 across the 2 of their papers we have counts for
3 papers
cs.LG2022
Machines of finite depth: towards a formalization of neural networks
Pietro Vertechi, Mattia G. Bergomi
We provide a unifying framework where artificial neural networks and their architectures can be formally described as particular cases of a general mathematical construction--machi…
math.AT2019★ 3 cited
Rank-based persistence
Mattia G. Bergomi, Pietro Vertechi
Persistence has proved to be a valuable tool to analyze real world data robustly. Several approaches to persistence have been attempted over time, some topological in flavor, based…
math.CO2019
Beyond topological persistence: Starting from networks
Mattia G. Bergomi, Massimo Ferri, Pietro Vertechi +1
Persistent homology enables fast and computable comparison of topological objects. However, it is naturally limited to the analysis of topological spaces. We extend the theory of p…