Description
For positive scale return location=value-score*scale.
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.
For positive scale return location=value-score*scale.
When to use this tool
Use Reference Zscore Offset Recovery 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, score, scale. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read location. Use the output convention below.
For positive scale return location=value-score*scale.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| value | Supplied scalar or returned value under the stated operation. | Required. Finite number. |
| score | Score | Required. Finite number. |
| scale | Supplied nonzero or positive multiplier under the stated transform convention. | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| location | Location | Required. Finite number. |
{
"input": {
"value": 12,
"score": 2,
"scale": 3
},
"output": {
"location": 6
}
}Limitations and assumptions
- Value, location, and scale need compatible units, while score is dimensionless. This rearranges a supplied standardized-score equation without estimating a center, checking the scale's definition, or fitting a reference distribution.
- 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
- Normalizer Center Inverse Offset
For nonzero signed scale return original=normalized*scale+center and offsetContribution=center.
- Minmax Inverse Parameter Consistency
For minimum<maximum return reconstructed=minimum+normalized*(maximum-minimum) and residual=value-reconstructed.