Corpus ID: 211096821

Learning Halfspaces with Massart Noise Under Structured Distributions

@article{Diakonikolas2020LearningHW,
  title={Learning Halfspaces with Massart Noise Under Structured Distributions},
  author={Ilias Diakonikolas and Vasilis Kontonis and Christos Tzamos and Nikos Zarifis},
  journal={ArXiv},
  year={2020},
  volume={abs/2002.05632}
}
  • Ilias Diakonikolas, Vasilis Kontonis, +1 author Nikos Zarifis
  • Published in ArXiv 2020
  • Computer Science, Mathematics
  • We study the problem of learning halfspaces with Massart noise in the distribution-specific PAC model. We give the first computationally efficient algorithm for this problem with respect to a broad family of distributions, including log-concave distributions. This resolves an open question posed in a number of prior works. Our approach is extremely simple: We identify a smooth {\em non-convex} surrogate loss with the property that any approximate stationary point of this loss defines a… CONTINUE READING

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