  Deep learning at scale is dominated by communication time. Distributing
samples across nodes usually yields the best performance, but poses scaling
challenges due to global information dissemination and load imbalance across
uneven sample lengths. State-of-the-art decentralized optimizers mitigate the
problem, but require more iterations to achieve the same accuracy as their
globally-communicating counterparts. We present Wait-Avoiding Group Model
Averaging (WAGMA) SGD, a wait-avoiding stochastic optimizer that reduces global
communication via subgroup weight exchange. The key insight is a combination of
algorithmic changes to the averaging scheme and the use of a group allreduce
operation. We prove the convergence of WAGMA-SGD, and empirically show that it
retains convergence rates similar to Allreduce-SGD. For evaluation, we train
ResNet-50 on ImageNet; Transformer for machine translation; and deep
reinforcement learning for navigation at scale. Compared with state-of-the-art
decentralized SGD variants, WAGMA-SGD significantly improves training
throughput (e.g., 2.1x on 1,024 GPUs for reinforcement learning), and achieves
the fastest time-to-solution (e.g., the highest score using the shortest
training time for Transformer).
