75 citations · 372 across the 57 of their papers we have counts for
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A Separation Principle for Control in the Age of Deep Learning
Alessandro Achille, Stefano Soatto
We review the problem of defining and inferring a "state" for a control system based on complex, high-dimensional, highly uncertain measurement streams such as videos. Such a state…
Critical Learning Periods in Deep Neural Networks
Alessandro Achille, Matteo Rovere, Stefano Soatto
Similar to humans and animals, deep artificial neural networks exhibit critical periods during which a temporary stimulus deficit can impair the development of a skill. The extent…
A Vietoris-Smale mapping theorem for the homotopy of hyperdefinable sets
Alessandro Achille, Alessandro Berarducci
Results of Smale (1957) and Dugundji (1969) allow to compare the homotopy groups of two topological spaces and whenever a map with strong connectivity conditions…
Emergence of Invariance and Disentanglement in Deep Representations
Alessandro Achille, Stefano Soatto
Using established principles from Statistics and Information Theory, we show that invariance to nuisance factors in a deep neural network is equivalent to information minimality of…