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Distributed Learning with Compressed Gradient Differences

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arxiv 1901.09269 v3 pith:JIQOTZ7J submitted 2019-01-26 cs.LG math.OCstat.ML

Distributed Learning with Compressed Gradient Differences

classification cs.LG math.OCstat.ML
keywords analysisdifferencesdistributedlearningquantizationcompressiongradientmethod
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Training large machine learning models requires a distributed computing approach, with communication of the model updates being the bottleneck. For this reason, several methods based on the compression (e.g., sparsification and/or quantization) of updates were recently proposed, including QSGD (Alistarh et al., 2017), TernGrad (Wen et al., 2017), SignSGD (Bernstein et al., 2018), and DQGD (Khirirat et al., 2018). However, none of these methods are able to learn the gradients, which renders them incapable of converging to the true optimum in the batch mode. In this work we propose a new distributed learning method -- DIANA -- which resolves this issue via compression of gradient differences. We perform a theoretical analysis in the strongly convex and nonconvex settings and show that our rates are superior to existing rates. We also provide theory to support non-smooth regularizers study the difference between quantization schemes. Our analysis of block-quantization and differences between $\ell_2$ and $\ell_{\infty}$ quantization closes the gaps in theory and practice. Finally, by applying our analysis technique to TernGrad, we establish the first convergence rate for this method.

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Cited by 6 Pith papers

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