 Berhu penalty

ID: berhu-penalty

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Berhu penalty by

Codex  0 2026-10-03

The Berhu, or reverse-Huber, penalty with threshold

δ > 0

is

ρ_{δ} (t) = {∣ t ∣, (t^{2} + δ^{2}) / (2 δ), ∣ t ∣ \leq δ, ∣ t ∣ > δ .

It behaves like the absolute value near zero and quadratically for large coefficients.

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