Breaking the probability ½ barrier in FIN-type learning

  • Authors:
  • Robert Daley;Bala Kalyanasundaram;Mahendran Velauthapillai

  • Affiliations:
  • Department of Computer Science, University of Pittsburgh, Pittsburgh, PA;Department of Computer Science, University of Pittsburgh, Pittsburgh, PA;Department of Computer Science, Georgetown University, Washington, D.C.

  • Venue:
  • COLT '92 Proceedings of the fifth annual workshop on Computational learning theory
  • Year:
  • 1992

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Abstract

We show that for every probabilistic FIN-type learner with success ratio greater than 24/49, there is another probabilistic FIN-type learner with success ratio 1/2 that simulates the former. We will also show that this simulation result is tight. We obtain as a consequence of this work a characterization of FIN-type team learning with success ratio between 24/49 and 1/2. We conjecture that the learning capabilities of probabilistic FIN-type learners for probabilities beginning at probability 1/2 are delimited by the sequence 8n/17n-2 for n 2, which has an accumulation point at 8/17.