Triple
T7705221
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Edgeworth expansion |
E174595
|
entity |
| Predicate | isRelatedTo |
P37
|
FINISHED |
| Object |
Gram–Charlier series
The Gram–Charlier series is an asymptotic expansion that approximates a probability distribution by correcting a normal distribution using cumulants or moments to capture skewness and kurtosis.
|
E174595
|
NE FINISHED |
How this triple was built (4 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Gram–Charlier series | Statement: [Edgeworth expansion, isRelatedTo, Gram–Charlier series]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Gram–Charlier series Context triple: [Edgeworth expansion, isRelatedTo, Gram–Charlier series]
-
A.
Edgeworth expansion
Edgeworth expansion is an asymptotic series that refines the central limit theorem by providing higher-order approximations to the distribution of normalized sums of random variables.
-
B.
Hermite
Hermite is a French surname most famously associated with the 19th-century mathematician Charles Hermite, known for his contributions to number theory, algebra, and analysis.
-
C.
Tukey's lambda distribution
Tukey's lambda distribution is a flexible family of probability distributions used primarily for exploratory data analysis and modeling diverse shapes of data, including varying degrees of skewness and kurtosis.
-
D.
Taylor series
A Taylor series is an infinite sum of terms calculated from the derivatives of a function at a single point, used to represent and approximate functions as power series.
-
E.
Bernoulli polynomials
Bernoulli polynomials are a sequence of polynomials deeply connected to number theory and analysis, appearing in the study of special functions, series expansions, and the evaluation of sums of powers of integers.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Gram–Charlier series Triple: [Edgeworth expansion, isRelatedTo, Gram–Charlier series]
Generated description
The Gram–Charlier series is an asymptotic expansion that approximates a probability distribution by correcting a normal distribution using cumulants or moments to capture skewness and kurtosis.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Gram–Charlier series Target entity description: The Gram–Charlier series is an asymptotic expansion that approximates a probability distribution by correcting a normal distribution using cumulants or moments to capture skewness and kurtosis.
-
A.
Edgeworth expansion
chosen
Edgeworth expansion is an asymptotic series that refines the central limit theorem by providing higher-order approximations to the distribution of normalized sums of random variables.
-
B.
Hermite
Hermite is a French surname most famously associated with the 19th-century mathematician Charles Hermite, known for his contributions to number theory, algebra, and analysis.
-
C.
Tukey's lambda distribution
Tukey's lambda distribution is a flexible family of probability distributions used primarily for exploratory data analysis and modeling diverse shapes of data, including varying degrees of skewness and kurtosis.
-
D.
Taylor series
A Taylor series is an infinite sum of terms calculated from the derivatives of a function at a single point, used to represent and approximate functions as power series.
-
E.
Bernoulli polynomials
Bernoulli polynomials are a sequence of polynomials deeply connected to number theory and analysis, appearing in the study of special functions, series expansions, and the evaluation of sums of powers of integers.
- F. None of above.
Provenance (5 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69c6995b3e8c8190833108f883d5f53c |
completed | March 27, 2026, 2:51 p.m. |
| NER | Named-entity recognition | batch_69c7028f17f0819081686ac146750d3a |
completed | March 27, 2026, 10:19 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c8acc088148190ba5ba07e4ad2284c |
completed | March 29, 2026, 4:38 a.m. |
| NEDg | Description generation | batch_69c8ae313d4c8190964be233c0651f3a |
completed | March 29, 2026, 4:44 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c8aea55c0081909aa0f6c96c8d6a03 |
completed | March 29, 2026, 4:46 a.m. |
Created at: March 27, 2026, 4:03 p.m.