Corpus ID: 211259510

A Group-Theoretic Framework for Data Augmentation

  title={A Group-Theoretic Framework for Data Augmentation},
  author={Shuxiao Chen and Edgar Dobriban and J. Lee},
  journal={arXiv: Machine Learning},
  • Shuxiao Chen, Edgar Dobriban, J. Lee
  • Published 2019
  • Mathematics, Computer Science
  • arXiv: Machine Learning
  • Data augmentation is a widely used trick when training deep neural networks: in addition to the original data, properly transformed data are also added to the training set. However, to the best of our knowledge, a clear mathematical framework to explain the performance benefits of data augmentation is not available. In this paper, we develop such a theoretical framework. We show data augmentation is equivalent to an averaging operation over the orbits of a certain group that keeps the data… CONTINUE READING
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