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Model averaging in distributed machine learning: a case study with Apache Spark

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Abstract

The increasing popularity of Apache Spark has attracted many users to put their data into its ecosystem. On the other hand, it has been witnessed in the literature that Spark is slow when it comes to distributed machine learning (ML). One resort is to switch to specialized systems such as parameter servers, which are claimed to have better performance. Nonetheless, users have to undergo the painful procedure of moving data into and out of Spark. In this paper, we investigate performance bottlenecks of MLlib (an official Spark package for ML) in detail, by focusing on analyzing its implementation of stochastic gradient descent (SGD)—the workhorse under the training of many ML models. We show that the performance inferiority of Spark is caused by implementation issues rather than fundamental flaws of the bulk synchronous parallel (BSP) model that governs Spark’s execution: we can significantly improve Spark’s performance by leveraging the well-known “model averaging” (MA) technique in distributed ML. Indeed, model averaging is not limited to SGD, and we further showcase an application of MA to training latent Dirichlet allocation (LDA) models within Spark. Our implementation is not intrusive and requires light development effort. Experimental evaluation results reveal that the MA-based versions of SGD and LDA can be orders of magnitude faster compared to their counterparts without using MA.

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Notes

  1. It remains an open question to ensure convergence when using model averaging (perhaps with an implementation different from the current MA-SGD) to train deep models.

  2. We assign one task to each executor because when we increase the number of tasks per executor, the time per iteration increases due to the heavy communication overhead.

  3. https://en.wikipedia.org/wiki/Gantt_chart.

  4. https://0x0fff.com/spark-architecture-shuffle/.

  5. We ignore the intermediate aggregators in Fig. 2b.

  6. However, the proof is very lengthy and technical, and thus is omitted here.

  7. https://en.wikipedia.org/wiki/Digamma_function.

  8. The default value of c is 49 to guarantee a relative error of \(1e{-}8\), though \(c=9\) is enough for a relative error of \(1e{-}5\).

  9. SVM is a representative for GLMs. In fact, linear models share similar training process from a system perspective.

  10. https://www.csie.ntu.edu.tw/~cjlin/libsvmtools/datasets/.

  11. https://archive.ics.uci.edu/ml/machine-learning-datasets/ and http://commoncrawl.org.

  12. http://spark.apache.org/docs/latest/tuning.html.

  13. We chose batch size as follows: 16k for NYTimes, 64k for PubMed, and 100k for CommonCrawl.

  14. The speedup per iteration is computed by dividing the elapsed time (the right plot) by the number of iterations (the left plot).

  15. Since L-BFGS in spark.ml performs normalization, we evaluate the models with the normalized data.

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Acknowledgements

This work is funded by the National Natural Science Foundation of China (NSFC) Grant No. 61832003 and U1811461, and Chinese Scholarship Council.

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Authors and Affiliations

  1. Massive Data Computing Research Center, Harbin Institute of Technology, Harbin, 150001, China

    Yunyan Guo & Jianzhong Li

  2. School of EECS, Peking University, Beijing, 100871, China

    Zhipeng Zhang & Bin Cui

  3. Microsoft Research, Redmond, WA, USA

    Wentao Wu

  4. Department of Computer Science, ETH Zürich, 8092, Zurich, Switzerland

    Jiawei Jiang & Ce Zhang

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  1. Yunyan Guo
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Guo, Y., Zhang, Z., Jiang, J. et al. Model averaging in distributed machine learning: a case study with Apache Spark. The VLDB Journal 30, 693–712 (2021). https://doi.org/10.1007/s00778-021-00664-7

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