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Ask for More Than Bayes Optimal: A Theory of Indecisions for Classification

  • Selective classification is a powerful tool for automated decision-making in high-risk scenarios, allowing classifiers to make highly confident decisions while abstaining when uncertainty is high.
  • The goal of this study is to minimize the number of indecisions, which are observations that are not automated, while achieving a target classification accuracy.
  • The study provides a full characterization of the minimax risk in selective classification, proving key properties and enabling optimal indecision selection.
  • The findings highlight the potential of selective classification to significantly reduce misclassification rates with a relatively small cost in terms of indecisions.

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