@misc{baratin2020implicit, author = {Baratin, Aristide and George, Thomas and Laurent, César and Hjelm, Devon and Lajoie, Guillaume and Vincent, Pascal and Lacoste-Julien, Simon}, title = {Implicit Regularization in Deep Learning: A View from Function Space}, howpublished = {ArXiv preprint}, year = {2020}, month = {August}, abstract = {We approach the problem of implicit regularization in deep learning from a geometrical viewpoint. We highlight a possible regularization effect induced by a dynamical alignment of the neural tangent features introduced by Jacot et al, along a small number of task-relevant directions. By extrapolating a new analysis of Rademacher complexity bounds in linear models, we propose and study a new heuristic complexity measure for neural networks which captures this phenomenon, in terms of sequences of tangent kernel classes along in the learning trajectories.}, url = {http://approjects.co.za/?big=en-us/research/publication/implicit-regularization-in-deep-learning-a-view-from-function-space/}, }