Description
Raise positive distance to negative positive power for weight, then divide by weight + nonnegative otherWeightSum for normalized.
Inverse-distance weighting assigns larger weights to nearer observations before normalization. The exponent and treatment of exact zero distance are explicit modeling choices.
Raise positive distance to negative positive power for weight, then divide by weight + nonnegative otherWeightSum for normalized.
When to use this tool
Use Inverse Distance One Weight Normalization when you need one supplied inverse-distance weight and its normalized share.
How to use the tool and how it works
- Enter distance, power, otherWeightSum. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read weight, normalized. Use the output convention below.
Raise positive distance to negative positive power for weight, then divide by weight + nonnegative otherWeightSum for normalized.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| distance | Distance | Required. Finite number; strictly above 0. |
| power | Power | Required. Finite number; strictly above 0. |
| otherWeightSum | Other Weight Sum | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| weight | Weight | Required. Finite number. |
| normalized | Normalized | Required. Finite number. |
{
"input": {
"distance": 2,
"power": 2,
"otherWeightSum": 0.75
},
"output": {
"weight": 0.25,
"normalized": 0.25
}
}Limitations and assumptions
- Other weights are supplied as a total; zero-distance exact hits are rejected and no spatial data or interpolated value is used.
- 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
Use the full neighborhood, a documented power, and a separate exact-hit policy to construct an interpolated value.
References
Similar or alternative tools
- Barycentric Single Node Influence Ratio
At an exact node hit return one for that selected node and zero for others; otherwise normalize selected weight/(x-node) by the sum of all such terms.
- Linear Interpolant Node Value Sensitivity
Return 1 - t and t as sensitivities to the left and right node values.