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Hyb Error: A Hybrid Metric Combining Absolute and Relative Errors

5 hours ago
  • #Hybrid Error
  • #Numerical Analysis
  • #Error Metrics
  • Introduction of Hyb Error, a hybrid metric combining absolute and relative errors.
  • Hyb Error formula: $\frac{|x-y|}{1+|y|}$, which balances absolute and relative error advantages.
  • Hyb Error approaches absolute error when $|y|$ is near 0 and relative error when $|y|$ is large.
  • For sequences, Maximum Element-wise Hyb Error (MEHE) is a practical metric reflecting significant errors.
  • Hyb Error is equivalent to the decision boundary of the 'isclose' function in numerical libraries.