ICML 2019oral70 citations
Efficient Full-Matrix Adaptive Regularization
Naman Agarwal, Brian Bullins, Xinyi Chen, Elad Hazan, Karan Singh, Cyril Zhang, Yi Zhang
Abstract
Adaptive regularization methods pre-multiply a descent direction by a preconditioning matrix. Due to the large number of parameters of machine learning problems, full-matrix preconditioning methods are prohibitively expensive. We show how to modify full-matrix adaptive regularization in order to make it practical and effective. We also provide a novel theoretical analysis for adaptive regularization in
BibTeX
@InProceedings{pmlr-v97-agarwal19b,
title = {Efficient Full-Matrix Adaptive Regularization},
author = {Agarwal, Naman and Bullins, Brian and Chen, Xinyi and Hazan, Elad and Singh, Karan and Zhang, Cyril and Zhang, Yi},
booktitle = {Proceedings of the 36th International Conference on Machine Learning},
pages = {102--110},
year = {2019},
editor = {Chaudhuri, Kamalika and Salakhutdinov, Ruslan},
volume = {97},
series = {Proceedings of Machine Learning Research},
month = {09--15 Jun},
publisher = {PMLR},
pdf = {http://proceedings.mlr.press/v97/agarwal19b/agarwal19b.pdf},
url = {https://proceedings.mlr.press/v97/agarwal19b.html},
abstract = {Adaptive regularization methods pre-multiply a descent direction by a preconditioning matrix. Due to the large number of parameters of machine learning problems, full-matrix preconditioning methods are prohibitively expensive. We show how to modify full-matrix adaptive regularization in order to make it practical and effective. We also provide a novel theoretical analysis for adaptive regularization in