Active and passive learning of linear separators under log-concave distributions

  title={Active and passive learning of linear separators under log-concave distributions},
  author={Maria-Florina Balcan and Philip M. Long},
We provide new results concerning label efficient, polynomial time, passive and active learning of linear separators. We prove that active learning provides an exponential improvement over PAC (passive) learning of homogeneous linear separators under nearly log-concave distributions. Building on this, we provide a computationally efficient PAC algorithm with optimal (up to a constant factor) sample complexity for such problems. This resolves an open question of (Long, 1995, 2003; Bshouty et al… CONTINUE READING
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