2 papers
math.PR2026
Large deviation principles for convolutional Bayesian neural networks
Federico Bassetti, Vassili De Palma, Lucia Ladelli
While suitably scaled CNNs with Gaussian initialization are known to converge to Gaussian processes as the number of channels diverges, little is known beyond this Gaussian limit.…
stat.ML2024
Proportional infinite-width infinite-depth limit for deep linear neural networks
Federico Bassetti, Lucia Ladelli, Pietro Rotondo
We study the distributional properties of linear neural networks with random parameters in the context of large networks, where the number of layers diverges in proportion to the n…