%Aigaion2 BibTeX export from Idiap Publications %Thursday 21 November 2024 01:01:57 PM @ARTICLE{Kuzborskij_MLJ_2016, author = {Kuzborskij, Ilja and Orabona, Francesco}, projects = {Idiap}, title = {Fast Rates by Transferring from Auxiliary Hypotheses}, journal = {Machine Learning}, year = {2016}, abstract = {In this work we consider the learning setting where, in addition to the training set, the learner receives a collection of auxiliary hypotheses originating from other tasks. We focus on a broad class of ERM-based linear algorithms that can be instantiated with any non-negative smooth loss function and any strongly convex regularizer. We establish generalization and excess risk bounds, showing that, if the algorithm is fed with a good combination of source hypotheses, generalization happens at the fast rate O(1/m) instead of the usual O(1/sqrt(m)). On the other hand, if the source hypotheses combination is a misfit for the target task, we recover the usual learning rate. As a byproduct of our study, we also prove a new bound on the Rademacher complexity of the smooth loss class under weaker assumptions compared to previous works.} }