English

Quasi-hyperbolic momentum and Adam for deep learning

Machine Learning 2019-05-03 v4 Machine Learning

Abstract

Momentum-based acceleration of stochastic gradient descent (SGD) is widely used in deep learning. We propose the quasi-hyperbolic momentum algorithm (QHM) as an extremely simple alteration of momentum SGD, averaging a plain SGD step with a momentum step. We describe numerous connections to and identities with other algorithms, and we characterize the set of two-state optimization algorithms that QHM can recover. Finally, we propose a QH variant of Adam called QHAdam, and we empirically demonstrate that our algorithms lead to significantly improved training in a variety of settings, including a new state-of-the-art result on WMT16 EN-DE. We hope that these empirical results, combined with the conceptual and practical simplicity of QHM and QHAdam, will spur interest from both practitioners and researchers. Code is immediately available.

Keywords

Cite

@article{arxiv.1810.06801,
  title  = {Quasi-hyperbolic momentum and Adam for deep learning},
  author = {Jerry Ma and Denis Yarats},
  journal= {arXiv preprint arXiv:1810.06801},
  year   = {2019}
}

Comments

Published as a conference paper at ICLR 2019. This version corrects one typological error in the published text

R2 v1 2026-06-23T04:41:07.900Z