Triple
T17035304
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Tucker decomposition |
E413306
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
CP decomposition
CP decomposition (CANDECOMP/PARAFAC) is a tensor factorization method that expresses a multi-way array as a sum of rank-one components, widely used for data analysis in fields like signal processing, chemometrics, and machine learning.
|
E1245791
|
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: CP decomposition | Statement: [Tucker decomposition, relatedTo, CP decomposition]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: CP decomposition Context triple: [Tucker decomposition, relatedTo, CP decomposition]
-
A.
Tucker decomposition in multilinear algebra
Tucker decomposition in multilinear algebra is a form of higher-order principal component analysis that factorizes a tensor into a core tensor multiplied by factor matrices along each mode, enabling dimensionality reduction and structure discovery in multiway data.
-
B.
SVD
SVD is the abbreviation for the Special Victims Division, a specialized police unit that investigates sensitive crimes such as sexual offenses and crimes against vulnerable victims.
-
C.
SVD
SVD is the IATA airport code for Argyle International Airport, the main international gateway to Saint Vincent and the Grenadines in the Caribbean.
-
D.
Schmidt decomposition
The Schmidt decomposition is a mathematical technique in functional analysis and quantum information theory that expresses a bipartite vector (such as a quantum state) as a sum of orthogonal product states with nonnegative coefficients, revealing its entanglement structure.
-
E.
Fitting decomposition
Fitting decomposition is a fundamental theorem in group theory that expresses a finite group as a product of its largest nilpotent normal subgroup and a complementary subgroup, playing a key role in the structural analysis of groups.
- 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: CP decomposition Triple: [Tucker decomposition, relatedTo, CP decomposition]
Generated description
CP decomposition (CANDECOMP/PARAFAC) is a tensor factorization method that expresses a multi-way array as a sum of rank-one components, widely used for data analysis in fields like signal processing, chemometrics, and machine learning.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: CP decomposition Target entity description: CP decomposition (CANDECOMP/PARAFAC) is a tensor factorization method that expresses a multi-way array as a sum of rank-one components, widely used for data analysis in fields like signal processing, chemometrics, and machine learning.
-
A.
Tucker decomposition in multilinear algebra
Tucker decomposition in multilinear algebra is a form of higher-order principal component analysis that factorizes a tensor into a core tensor multiplied by factor matrices along each mode, enabling dimensionality reduction and structure discovery in multiway data.
-
B.
SVD
SVD is the abbreviation for the Special Victims Division, a specialized police unit that investigates sensitive crimes such as sexual offenses and crimes against vulnerable victims.
-
C.
SVD
SVD is the IATA airport code for Argyle International Airport, the main international gateway to Saint Vincent and the Grenadines in the Caribbean.
-
D.
Schmidt decomposition
The Schmidt decomposition is a mathematical technique in functional analysis and quantum information theory that expresses a bipartite vector (such as a quantum state) as a sum of orthogonal product states with nonnegative coefficients, revealing its entanglement structure.
-
E.
Fitting decomposition
Fitting decomposition is a fundamental theorem in group theory that expresses a finite group as a product of its largest nilpotent normal subgroup and a complementary subgroup, playing a key role in the structural analysis of groups.
- 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_69d886cd18288190b006abab23f811b7 |
completed | April 10, 2026, 5:12 a.m. |
| NER | Named-entity recognition | batch_69e3d8f05824819091d2aa02e5591e26 |
completed | April 18, 2026, 7:18 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a011b59ad3c8190914ee6f8c903cbbf |
completed | May 10, 2026, 11:57 p.m. |
| NEDg | Description generation | batch_6a011c13076c8190970abfb0e2d3a13c |
completed | May 11, 2026, midnight |
| NED2 | Entity disambiguation (via description) | batch_6a011c8afb608190b51c7a4c9ccaa0a5 |
completed | May 11, 2026, 12:02 a.m. |
Created at: April 10, 2026, 5:33 a.m.