increase batch size instead of learning rate


How does batch size affect the learning rate?

    Increasing the batch size during training achievessimilar results to decaying the learning rate, but it reduces the number of parameter updates fromjust over 14000 to below 6000. We run each experiment twice to illustrate the variance.

Is there a linear scaling rule between batch size and learning rate?

    Goyal et al. (2017) observed a linear scaling rule between batch size and learning rate, B/,and used this rule to reduce the time required to train ResNet-50 on ImageNet to one hour. To ourknowledge, this scaling rule was ?st adopted by Krizhevsky (2014).

What is the initial batch size?

    The initial batch size was 8192. For “Decaying learning rate”, we hold the batch size ?xedand decay the learning rate, while in “Increasing batch size” we increase the batch size to 81920at the ?rst step, but decay the learning rate at the following two steps.

What is the relationship between generalization ability and batch size?

    When all conditions of Theorem 2 and Assumption 2 hold, the generalization bound of the network has a positive correlation with the ratio of batch size to learning rate. The proof is omitted from the main text and given in Appendix B.3 It reveals the negative correlation between the generalization ability and the ratio.
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