Description
For positive delta, return delta² / 2 for both the quadratic and linear Huber transition limits and zero gap.
Signed errors preserve direction while absolute or squared errors emphasize magnitude. Their gradients and small-residual approximations represent specific mathematical terms rather than complete performance evaluations.
For positive delta, return delta² / 2 for both the quadratic and linear Huber transition limits and zero gap.
When to use this tool
Use Huber Loss Transition Continuity Gap when you need an explicit error, gradient, or local loss component.
How to use the tool and how it works
- Enter delta. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read quadraticLimit, linearLimit, gap. Use the output convention below.
For positive delta, return delta² / 2 for both the quadratic and linear Huber transition limits and zero gap.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| delta | Delta | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| quadraticLimit | Quadratic Limit | Required. Finite number. |
| linearLimit | Linear Limit | Required. Finite number. |
| gap | Signed difference under the stated subtraction order. | Required. Finite number. |
{
"input": {
"delta": 2
},
"output": {
"quadraticLimit": 2,
"linearLimit": 2,
"gap": 0
}
}Limitations and assumptions
- This checks the algebraic transition value only; it does not evaluate loss for a residual or compare custom Huber definitions.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Assess a full error distribution and keep the sign and aggregation conventions consistent across models.
References
Similar or alternative tools
- Logcosh Loss Small Residual Limit
Return residual² / 2 and -residual^4 / 12 as the first quadratic term and quartic correction of the small-residual log-cosh expansion.
- Mae Single Observation Gradient
Require actual unequal to predicted and return sign(predicted - actual) as the gradient with respect to predicted.