Stable transductive learning

  • Authors:
  • Ran El-Yaniv;Dmitry Pechyony

  • Affiliations:
  • Computer Science Department, Technion - Israel Institute of Technology;Computer Science Department, Technion - Israel Institute of Technology

  • Venue:
  • COLT'06 Proceedings of the 19th annual conference on Learning Theory
  • Year:
  • 2006

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Abstract

We develop a new error bound for transductive learning algorithms. The slack term in the new bound is a function of a relaxed notion of transductive stability, which measures the sensitivity of the algorithm to most pairwise exchanges of training and test set points. Our bound is based on a novel concentration inequality for symmetric functions of permutations. We also present a simple sampling technique that can estimate, with high probability, the weak stability of transductive learning algorithms with respect to a given dataset. We demonstrate the usefulness of our estimation technique on a well known transductive learning algorithm.