Probing transfer learning with a model of synthetic correlated datasets. Issue 1 (1st March 2022)

• Record Type: Journal Article
• Authors: Gerace, Federica; Saglietti, Luca; Sarao Mannelli, Stefano; Saxe, Andrew; Zdeborová, Lenka
• Is Part Of: Machine learning: science and technology. Volume 3:Issue 1(2022)
• Publication Date: 2022-03-01
• Subjects: transfer learning -- correlated dataset -- data modelling -- statistical physics; 006.31
• DOI: 10.1088/2632-2153/ac4f3f
• Languages: English
• ISSNs: 2632-2153

Abstract

Abstract: Transfer learning can significantly improve the sample efficiency of neural networks, by exploiting the relatedness between a data-scarce target task and a data-abundant source task. Despite years of successful applications, transfer learning practice often relies on ad-hoc solutions, while theoretical understanding of these procedures is still limited. In the present work, we re-think a solvable model of synthetic data as a framework for modeling correlation between data-sets. This setup allows for an analytic characterization of the generalization performance obtained when transferring the learned feature map from the source to the target task. Focusing on the problem of training two-layer networks in a binary classification setting, we show that our model can capture a range of salient features of transfer learning with real data. Moreover, by exploiting parametric control over the correlation between the two data-sets, we systematically investigate under which conditions the transfer of features is beneficial for generalization.