Description
Return derivative=((inIntersection?referenceWeight:0)-(inReference?intersectionWeight:0))/referenceWeight².
A similarity term depends on the comparison universe, missing-value policy, treatment of repeated features, and normalization. A score can also have a caller-selected value when its mathematical denominator vanishes. Those conventions matter before interpreting a threshold or comparing methods.
Return derivative=((inIntersection?referenceWeight:0)-(inReference?intersectionWeight:0))/referenceWeight².
When to use this tool
Use Weighted Overlap One Weight Sensitivity when you need this particular comparison term, normalization, domain condition, or empty-result policy in a larger matching workflow.
How to use the tool and how it works
- Enter intersectionWeight, referenceWeight, inIntersection, inReference. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read derivative. Use the output convention below.
Return derivative=((inIntersection?referenceWeight:0)-(inReference?intersectionWeight:0))/referenceWeight². Require nonnegative intersection weight within positive reference weight and intersection membership implying reference membership.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| intersectionWeight | Intersection Weight | Required. Finite number. |
| referenceWeight | Reference Weight | Required. Finite number. |
| inIntersection | In Intersection | Required. Boolean. |
| inReference | In Reference | Required. Boolean. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| derivative | Derivative | Required. Finite number. |
{
"input": {
"intersectionWeight": 3,
"referenceWeight": 5,
"inIntersection": true,
"inReference": true
},
"output": {
"derivative": 0.08
}
}Limitations and assumptions
- This is a local derivative of intersection/reference weight under one feature perturbation. It does not construct weights, choose an overlap metric, or estimate uncertainty.
- The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
- 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. Signed zero is exported as zero.
Alternative or Complementary methods
Compare methods only after aligning feature definitions, missingness, empty policies, multiplicities, and normalizers. Use a complete comparison when the tool returns only one contribution or count check.
References
Similar or alternative tools
- Token Weight Overlap Contribution
One weighted histogram-intersection token contribution with an explicitly supplied global normalization.
- Weighted Overlap Denominator Gap
Compare explicit overlap denominator conventions without computing a similarity score.