Description
For nonzero signed scale return original=normalized*scale+center and offsetContribution=center.
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 nonzero signed scale return original=normalized*scale+center and offsetContribution=center.
When to use this tool
Use Normalizer Center Inverse Offset 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 normalized, scale, center. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read original, offsetContribution. Use the output convention below.
For nonzero signed scale return original=normalized*scale+center and offsetContribution=center.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| normalized | Scalar transformed under the stated formula and zero policy. | Required. Finite number. |
| scale | Supplied nonzero or positive multiplier under the stated transform convention. | Required. Finite number. |
| center | Supplied location parameter or calculated midpoint under the stated formula. | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| original | Supplied original-coordinate value or inverse result under the stated convention. | Required. Finite number. |
| offsetContribution | Offset Contribution | Required. Finite number. |
{
"input": {
"normalized": 2,
"scale": 3,
"center": 10
},
"output": {
"original": 16,
"offsetContribution": 10
}
}Limitations and assumptions
- This assumes the forward convention normalized=(original-center)/scale. Negative scale is permitted and no unit range is enforced; the tool does not recover fitted parameters, verify an observation, or test transform consistency.
- 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
- Scalar Affine Inverse Existence
Return invertible=(scale!=0).
- Minmax Inverse Parameter Consistency
For minimum<maximum return reconstructed=minimum+normalized*(maximum-minimum) and residual=value-reconstructed.