Title
Accelerating Stochastic Gradient Descent Using Antithetic Sampling.
Abstract
(Mini-batch) Stochastic Gradient Descent is a popular optimization method which has been applied to many machine learning applications. But a rather high variance introduced by the stochastic gradient in each step may slow down the convergence. In this paper, we propose the antithetic sampling strategy to reduce the variance by taking advantage of the internal structure in dataset. Under this new strategy, stochastic gradients in a mini-batch are no longer independent but negatively correlated as much as possible, while the mini-batch stochastic gradient is still an unbiased estimator of full gradient. For the binary classification problems, we just need to calculate the antithetic samples in advance, and reuse the result in each iteration, which is practical. Experiments are provided to confirm the effectiveness of the proposed method.
Year
Venue
Field
2018
arXiv: Learning
Convergence (routing),Stochastic gradient descent,Mathematical optimization,Binary classification,Reuse,Bias of an estimator,Sampling (statistics),Mathematics
DocType
Volume
Citations 
Journal
abs/1810.03124
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Jingchang Liu122.06
Linli Xu279042.51