Residual networks behave like ensembles of relatively shallow networks

Research output: Contribution to journalConference articleResearchpeer-review

In this work we propose a novel interpretation of residual networks showing that they can be seen as a collection of many paths of differing length. Moreover, residual networks seem to enable very deep networks by leveraging only the short paths during training. To support this observation, we rewrite residual networks as an explicit collection of paths. Unlike traditional models, paths through residual networks vary in length. Further, a lesion study reveals that these paths show ensemble-like behavior in the sense that they do not strongly depend on each other. Finally, and most surprising, most paths are shorter than one might expect, and only the short paths are needed during training, as longer paths do not contribute any gradient. For example, most of the gradient in a residual network with 110 layers comes from paths that are only 10-34 layers deep. Our results reveal one of the key characteristics that seem to enable the training of very deep networks: Residual networks avoid the vanishing gradient problem by introducing short paths which can carry gradient throughout the extent of very deep networks.

Original languageEnglish
JournalAdvances in Neural Information Processing Systems
Pages (from-to)550-558
Number of pages9
ISSN1049-5258
Publication statusPublished - 2016
Externally publishedYes
Event30th Annual Conference on Neural Information Processing Systems, NIPS 2016 - Barcelona, Spain
Duration: 5 Dec 201610 Dec 2016

Conference

Conference30th Annual Conference on Neural Information Processing Systems, NIPS 2016
CountrySpain
CityBarcelona
Period05/12/201610/12/2016
Sponsoret al., Google, Intel Corporation, KLA-Tencor, Microsoft, Winton

Bibliographical note

Funding Information:
We would like to thank Sam Kwak and Theofanis Karaletsos for insightful feedback. We also thank the reviewers of NIPS 2016 for their very constructive and helpful feedback and for suggesting the paper title. This work is partly funded by AOL through the Connected Experiences Laboratory (Author 1), an NSF Graduate Research Fellowship award (NSF DGE-1144153, Author 2), and a Google Focused Research award (Author 3).

Publisher Copyright:
© 2016 NIPS Foundation - All Rights Reserved.

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