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<p>This study introduces a novel upper bound for the Bayes error that is a lower bound for the traditional Bhattacharyya bound for binary classifiers. We demonstrate its superior tightness through analytical comparisons and empirical evaluations against known bounds.</p>

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An Arbitrarily Tight Lower Bound for the Bhattacharyya Upper Bound on Bayes Error

  • 期刊论文

  • 发表日期：

    2026年2月11日

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  • Hossein Kazemzadeh Gharechopogh,
  • Adel Mohammadpour

摘要

This study introduces a novel upper bound for the Bayes error that is a lower bound for the traditional Bhattacharyya bound for binary classifiers. We demonstrate its superior tightness through analytical comparisons and empirical evaluations against known bounds.