Description
Return clamped and distance=abs(value-clamped).
Normalization depends on the supplied center, scale, norm, range, reference distribution, or denominator. A zero spread and a missing denominator need an explicit policy, and clipping differs from fitting a scaler. Evaluating one scalar or derivative term does not estimate every parameter or establish a distributional improvement.
Return clamped and distance=abs(value-clamped).
When to use this tool
Use Unit Interval Epsilon Clamp Distance when you already have the required normalization parameters and need this local scalar, range, policy, or derivative term.
How to use the tool and how it works
- Enter value, epsilon. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read clamped, distance. Use the output convention below.
For epsilon in [0,0.5) clamp value into [epsilon,1-epsilon]. Return clamped and distance=abs(value-clamped).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| value | Supplied scalar or returned value under the stated operation. | Required. Finite number. |
| epsilon | Epsilon | Required. Finite number; minimum 0; strictly below 0.5. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| clamped | Clamped | Required. Finite number. |
| distance | Distance | Required. Finite number. |
{
"input": {
"value": 0,
"epsilon": 0.125
},
"output": {
"clamped": 0.125,
"distance": 0.125
}
}Limitations and assumptions
- Values outside the unit interval are permitted and corrected under a supplied margin. Epsilon zero allows endpoints, so the output is not automatically safe for logarithms or a logit transform.
- 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
Fit or verify the intended scaler parameters and statistical model separately. Check units, zero policies, missingness, clipping, inverse conventions, and whether supplied norms or denominators belong to the same data.
References
Similar or alternative tools
- Bounded Logit Scalar Domain Margin
Return logit=ln(value/(1-value)) and margin=min(value-epsilon,1-epsilon-value).
- Winsorized Value Clipping Displacement
Return value as the clipped result and displacement=clipped-original.