Search Results for author: Mattia G. Bergomi

Found 6 papers, 3 papers with code

Neural network layers as parametric spans

no code implementations1 Aug 2022 Mattia G. Bergomi, Pietro Vertechi

Properties such as composability and automatic differentiation made artificial neural networks a pervasive tool in applications.

Machines of finite depth: towards a formalization of neural networks

no code implementations27 Apr 2022 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--machines of finite depth.

Parametric machines: a fresh approach to architecture search

no code implementations6 Jul 2020 Pietro Vertechi, Patrizio Frosini, Mattia G. Bergomi

Using tools from category theory, we provide a framework where artificial neural networks, and their architectures, can be formally described.

Beyond topological persistence: Starting from networks

1 code implementation19 Jan 2019 Mattia G. Bergomi, Massimo Ferri, Pietro Vertechi, Lorenzo Zuffi

Nowadays, data generation, representation and analysis occupy central roles in human society.

Combinatorics Category Theory

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