Triple
T17676368
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | AbstractMatrix |
E440651
|
entity |
| Predicate | supertypeOf |
P1244
|
FINISHED |
| Object |
UnitLowerTriangular
UnitLowerTriangular is a specialized matrix type representing lower-triangular matrices with ones on the main diagonal, commonly used to efficiently encode and manipulate such structured linear algebra objects.
|
E1282490
|
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: UnitLowerTriangular | Statement: [AbstractMatrix, supertypeOf, UnitLowerTriangular]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: UnitLowerTriangular Context triple: [AbstractMatrix, supertypeOf, UnitLowerTriangular]
-
A.
UpperTriangular
UpperTriangular is a linear algebra type representing square matrices whose entries below the main diagonal are zero, enabling efficient storage and specialized algorithms.
-
B.
TRSM
TRSM is the Ted Rogers School of Management, a major business school at Toronto Metropolitan University in Toronto, Canada.
-
C.
SymTridiagonal
SymTridiagonal is a Julia type representing a symmetric tridiagonal matrix optimized for efficient storage and linear algebra operations.
-
D.
Pascal's triangle
Pascal's triangle is a triangular array of numbers in which each entry is the sum of the two directly above it, widely used in combinatorics, algebra, and probability.
-
E.
Cholesky factorization
Cholesky factorization is a numerical linear algebra method that decomposes a symmetric positive-definite matrix into a product of a lower triangular matrix and its transpose, widely used for efficient solution of linear systems.
- 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: UnitLowerTriangular Triple: [AbstractMatrix, supertypeOf, UnitLowerTriangular]
Generated description
UnitLowerTriangular is a specialized matrix type representing lower-triangular matrices with ones on the main diagonal, commonly used to efficiently encode and manipulate such structured linear algebra objects.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: UnitLowerTriangular Target entity description: UnitLowerTriangular is a specialized matrix type representing lower-triangular matrices with ones on the main diagonal, commonly used to efficiently encode and manipulate such structured linear algebra objects.
-
A.
UpperTriangular
UpperTriangular is a linear algebra type representing square matrices whose entries below the main diagonal are zero, enabling efficient storage and specialized algorithms.
-
B.
TRSM
TRSM is the Ted Rogers School of Management, a major business school at Toronto Metropolitan University in Toronto, Canada.
-
C.
SymTridiagonal
SymTridiagonal is a Julia type representing a symmetric tridiagonal matrix optimized for efficient storage and linear algebra operations.
-
D.
Pascal's triangle
Pascal's triangle is a triangular array of numbers in which each entry is the sum of the two directly above it, widely used in combinatorics, algebra, and probability.
-
E.
Cholesky factorization
Cholesky factorization is a numerical linear algebra method that decomposes a symmetric positive-definite matrix into a product of a lower triangular matrix and its transpose, widely used for efficient solution of linear systems.
- F. None of above. chosen
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_69d8b9e940b081908b862bb0e6e89b0d |
completed | April 10, 2026, 8:50 a.m. |
| NER | Named-entity recognition | batch_69e46f6d9ab88190ab0e25eac8b0101c |
completed | April 19, 2026, 6 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a022325d6108190975082abcdb21ce1 |
completed | May 11, 2026, 6:42 p.m. |
| NEDg | Description generation | batch_6a022759531c8190a77c5dc4e3ccaee6 |
completed | May 11, 2026, 7 p.m. |
| NED2 | Entity disambiguation (via description) | batch_6a0227ff79d881908ad190b2665bc63d |
completed | May 11, 2026, 7:03 p.m. |
Created at: April 10, 2026, 10:01 a.m.