Efficient learning of simplices

@inproceedings{Goyal2013EfficientLO,
  title={Efficient learning of simplices},
  author={Navin Goyal and Luis Rademacher},
  booktitle={COLT},
  year={2013}
}
We show an efficient algorithm for the following problem: Given uniformly random points from an arbitrary n-dimensional simplex, estimate the simplex. The size of the sample and the number of arithmetic operations of our algorithm are polynomial in n. This answers a question of Frieze, Jerrum and Kannan Frieze et al. (1996). Our result can also be interpreted as efficiently learning the intersection of n + 1 half-spaces in R in the model where the intersection is bounded and we are given… CONTINUE READING
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