Description
Compute cardinality-based Jaccard similarity with explicit zero/one empty-union convention and a retained defined flag.
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.
Compute cardinality-based Jaccard similarity with explicit zero/one empty-union convention and a retained defined flag.
When to use this tool
Use Similarity: Jaccard Empty Pair Policy 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 intersectionCount, unionCount, emptyPolicy. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read result. Expand result to inspect the returned fields.
Return intersectionCount/unionCount when union is positive, otherwise the chosen zero/one empty policy with defined false inside result. Require feasible integer counts no greater than one billion.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| intersectionCount | Intersection Count | Required. Safe integer. |
| unionCount | Union Count | Required. Safe integer. |
| emptyPolicy | Empty Policy | Required. Text; one of "zero", "one". |
| Output field | Interpretation | Returned shape |
|---|---|---|
| result | Result | Required. Object. |
{
"input": {
"intersectionCount": 0,
"unionCount": 0,
"emptyPolicy": "one"
},
"output": {
"result": {
"defined": false,
"similarity": 1
}
}
}Limitations and assumptions
- The empty result is a supplied convention. No sets, tokenization, multiplicities, or semantic similarity are inspected.
- Outputs are nested inside result. 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
- Similarity: Overlap Coefficient Empty Min Policy
Compute overlap coefficient from consistent finite-set cardinalities with an explicit empty-minimum convention and retained defined status.
- Setmatch Empty Universe Policy
Deduplicate universe and both member lists, require both subsets inside the universe, and return agreement including both joint presences and joint absences.