Title
Matrix-Free Preconditioning in Online Learning.
Abstract
We provide an online convex optimization algorithm with regret that interpolates between the regret of an algorithm using an optimal preconditioning matrix and one using a diagonal preconditioning matrix. Our regret bound is never worse than that obtained by diagonal preconditioning, and in certain setting even surpasses that of algorithms with full-matrix preconditioning. Importantly, our algorithm runs in the same time and space complexity as online gradient descent. Along the way we incorporate new techniques that mildly streamline and improve logarithmic factors in prior regret analyses. We conclude by benchmarking our algorithm on synthetic data and deep learning tasks.
Year
Venue
Field
2019
International Conference on Machine Learning
Diagonal,Online learning,Mathematical optimization,Gradient descent,Regret,Matrix (mathematics),Synthetic data,Artificial intelligence,Logarithm,Deep learning,Mathematics
DocType
Volume
Citations 
Journal
abs/1905.12721
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Cutkosky, Ashok11410.02
Tamás Sarlós247725.73