Triple

T1382307
Position Surface form Disambiguated ID Type / Status
Subject method of least squares E29364 entity
Predicate relatedConcept P37 FINISHED
Object linear algebra
Linear algebra is a branch of mathematics that studies vectors, vector spaces, linear transformations, and systems of linear equations, forming a foundation for many areas of science and engineering.
E157381 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: linear algebra | Statement: [method of least squares, relatedConcept, linear algebra]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: linear algebra
Context triple: [method of least squares, relatedConcept, linear algebra]
  • A. LinearAlgebra
    LinearAlgebra is Julia’s standard library module providing core functionality for vectors, matrices, and advanced linear algebra operations.
  • B. Linear Systems
    "Linear Systems" is a highly influential graduate-level textbook by Thomas Kailath that rigorously develops the theory and applications of linear system analysis and control.
  • C. Gaussian elimination
    Gaussian elimination is a fundamental algorithm in linear algebra used to solve systems of linear equations by systematically transforming matrices into row-echelon form.
  • D. Matrix
    Matrix is a professional haircare and hair color brand widely used in salons and owned by the cosmetics company L'Oréal.
  • E. Matrix
    The Matrix is a vast, sentient data repository and virtual reality construct on Gallifrey that stores the knowledge, memories, and consciousness of Time Lords in the Doctor Who universe.
  • 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: linear algebra
Triple: [method of least squares, relatedConcept, linear algebra]
Generated description
Linear algebra is a branch of mathematics that studies vectors, vector spaces, linear transformations, and systems of linear equations, forming a foundation for many areas of science and engineering.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: linear algebra
Target entity description: Linear algebra is a branch of mathematics that studies vectors, vector spaces, linear transformations, and systems of linear equations, forming a foundation for many areas of science and engineering.
  • A. LinearAlgebra
    LinearAlgebra is Julia’s standard library module providing core functionality for vectors, matrices, and advanced linear algebra operations.
  • B. Linear Systems
    "Linear Systems" is a highly influential graduate-level textbook by Thomas Kailath that rigorously develops the theory and applications of linear system analysis and control.
  • C. Gaussian elimination
    Gaussian elimination is a fundamental algorithm in linear algebra used to solve systems of linear equations by systematically transforming matrices into row-echelon form.
  • D. Matrix
    Matrix is a professional haircare and hair color brand widely used in salons and owned by the cosmetics company L'Oréal.
  • E. Matrix
    The Matrix is a vast, sentient data repository and virtual reality construct on Gallifrey that stores the knowledge, memories, and consciousness of Time Lords in the Doctor Who universe.
  • 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_69a498d883a48190bfdca525296ef7ee completed March 1, 2026, 7:51 p.m.
NER Named-entity recognition batch_69a4c3361bf08190b3f6bbf82e17685b completed March 1, 2026, 10:52 p.m.
NED1 Entity disambiguation (via context triple) batch_69acd48c41f4819092f7e1302d803662 completed March 8, 2026, 1:44 a.m.
NEDg Description generation batch_69acd543a0ac8190b9fd5e921b5ad9ea completed March 8, 2026, 1:47 a.m.
NED2 Entity disambiguation (via description) batch_69acd5b8fa2481908fd52d94e55b6377 completed March 8, 2026, 1:49 a.m.
Created at: March 1, 2026, 7:59 p.m.