Corpus ID: 60440600

Space lower bounds for linear prediction

@article{Dagan2019SpaceLB,
  title={Space lower bounds for linear prediction},
  author={Yuval Dagan and Gil Kur and Ohad Shamir},
  journal={ArXiv},
  year={2019},
  volume={abs/1902.03498}
}
We show that fundamental learning tasks, such as finding an approximate linear separator or linear regression, require memory at least \emph{quadratic} in the dimension, in a natural streaming setting. This implies that such problems cannot be solved (at least in this setting) by scalable memory-efficient streaming algorithms. Our results build on a memory lower bound for a simple linear-algebraic problem -- finding orthogonal vectors -- and utilize the estimates on the packing of the… Expand
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