Description
Return value=inputMinimum+(normalized-outputMinimum)/(outputMaximum-outputMinimum)*(inputMaximum-inputMinimum).
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 value=inputMinimum+(normalized-outputMinimum)/(outputMaximum-outputMinimum)*(inputMaximum-inputMinimum).
When to use this tool
Use Minmax Output Range Inversion 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, inputMinimum, inputMaximum, outputMinimum, outputMaximum. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read value. Use the output convention below.
Require inputMinimum<inputMaximum and outputMinimum!=outputMaximum. Return value=inputMinimum+(normalized-outputMinimum)/(outputMaximum-outputMinimum)*(inputMaximum-inputMinimum).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| normalized | Scalar transformed under the stated formula and zero policy. | Required. Finite number. |
| inputMinimum | Input Minimum | Required. Finite number. |
| inputMaximum | Input Maximum | Required. Finite number. |
| outputMinimum | First output-range endpoint, which may exceed outputMaximum. | Required. Finite number. |
| outputMaximum | Output Maximum | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| value | Supplied scalar or returned value under the stated operation. | Required. Finite number. |
{
"input": {
"normalized": 0,
"inputMinimum": 10,
"inputMaximum": 20,
"outputMinimum": -1,
"outputMaximum": 1
},
"output": {
"value": 15
}
}Limitations and assumptions
- The output range may be reversed and normalized may lie outside it, causing extrapolation. Bounds are supplied rather than fitted; no clipping or validation of the original data range occurs.
- 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
- Minmax Inverse Parameter Consistency
For minimum<maximum return reconstructed=minimum+normalized*(maximum-minimum) and residual=value-reconstructed.
- Signed Range Center Offset
Center a supplied value on a signed interval coordinate without clamping extrapolation.