46 citations · 160 across the 23 of their papers we have counts for
4 papers · 1 filter
Representations of torsion-free arithmetic matroids
Roberto Pagaria, Giovanni Paolini
We study the representability problem for torsion-free arithmetic matroids. By using a new operation called "reduction" and a "signed Hermite normal form", we provide and implement…
Proof of the conjecture for affine Artin groups
Giovanni Paolini, Mario Salvetti
We prove the conjecture for affine Artin groups: the complexified complement of an affine reflection arrangement is a classifying space. This is a long-standing problem, d…
Where is the Information in a Deep Neural Network?
Alessandro Achille, Giovanni Paolini, Stefano Soatto
Whatever information a deep neural network has gleaned from training data is encoded in its weights. How this information affects the response of the network to future data remains…
The Information Complexity of Learning Tasks, their Structure and their Distance
Alessandro Achille, Giovanni Paolini, Glen Mbeng +1
We introduce an asymmetric distance in the space of learning tasks, and a framework to compute their complexity. These concepts are foundational for the practice of transfer learni…