Effective confidence region prediction using probability forecasters

  • Authors:
  • David G. Lindsay;Siân Cox

  • Affiliations:
  • Computer Learning Research Centre;School of Biological Sciences, Royal Holloway, University, Egham, Surrey, UK

  • Venue:
  • AIME'05 Proceedings of the 10th conference on Artificial Intelligence in Medicine
  • Year:
  • 2005

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Abstract

Confidence region prediction is a practically useful extension to the commonly studied pattern recognition problem. Instead of predicting a single label, the constraint is relaxed to allow prediction of a subset of labels given a desired confidence level 1 – δ. Ideally, effective region predictions should be (1) well calibrated – predictive regions at confidence level 1 – δ should err with relative frequency at most δ and (2) be as narrow (or certain) as possible. We present a simple technique to generate confidence region predictions from conditional probability estimates (probability forecasts). We use this ‘conversion' technique to generate confidence region predictions from probability forecasts output by standard machine learning algorithms when tested on 15 multi-class datasets. Our results show that approximately 44% of experiments demonstrate well-calibrated confidence region predictions, with the K-Nearest Neighbour algorithm tending to perform consistently well across all data. Our results illustrate the practical benefits of effective confidence region prediction with respect to medical diagnostics, where guarantees of capturing the true disease label can be given.