activity
20182021
most citedDeep learning generalizes because the parameter-function map is biased towards simple functions

110 citations · 141 across the 5 of their papers we have counts for

collaborators

5 papers

stat.ML2021

Double-descent curves in neural networks: a new perspective using Gaussian processes

Ouns El Harzli, Bernardo Cuenca Grau, Guillermo Valle-Pérez +1

Double-descent curves in neural networks describe the phenomenon that the generalisation error initially descends with increasing parameters, then grows after reaching an optimal n…

stat.ML2020★ 12 cited

Generalization bounds for deep learning

Guillermo Valle-Pérez, Ard A. Louis

Generalization in deep learning has been the topic of much recent theoretical and empirical research. Here we introduce desiderata for techniques that predict generalization errors…

cs.LG2020★ 8 cited

Is SGD a Bayesian sampler? Well, almost

Chris Mingard, Guillermo Valle-Pérez, Joar Skalse +1

Overparameterised deep neural networks (DNNs) are highly expressive and so can, in principle, generate almost any function that fits a training dataset with zero error. The vast ma…

cs.LG2019★ 11 cited

Neural networks are a priori biased towards Boolean functions with low entropy

Chris Mingard, Joar Skalse, Guillermo Valle-Pérez +3

Understanding the inductive bias of neural networks is critical to explaining their ability to generalise. Here, for one of the simplest neural networks -- a single-layer perceptro…

stat.ML2018★ 110 cited

Deep learning generalizes because the parameter-function map is biased towards simple functions

Guillermo Valle-Pérez, Chico Q. Camargo, Ard A. Louis

Deep neural networks (DNNs) generalize remarkably well without explicit regularization even in the strongly over-parametrized regime where classical learning theory would instead p…