Triple
T13893989
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hadamard matrix |
E334040
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
Walsh matrix
A Walsh matrix is a specific type of Hadamard matrix whose rows (Walsh functions) form an orthogonal set of square-wave patterns widely used in signal processing and communications.
|
E334040
|
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: Walsh matrix | Statement: [Hadamard matrix, relatedTo, Walsh matrix]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Walsh matrix Context triple: [Hadamard matrix, relatedTo, Walsh matrix]
-
A.
Hadamard matrices
Hadamard matrices are square matrices with entries ±1 whose rows are mutually orthogonal, playing a key role in combinatorics, coding theory, and signal processing.
-
B.
Vandermonde matrix
A Vandermonde matrix is a structured matrix whose rows (or columns) are geometric progressions of given numbers, widely used in polynomial interpolation, determinant theory, and numerical analysis.
-
C.
Haar wavelet
The Haar wavelet is the simplest and oldest wavelet function, used as a basic building block in wavelet analysis for representing signals with abrupt changes.
-
D.
Daubechies wavelets
Daubechies wavelets are a family of compactly supported orthogonal wavelets widely used in signal processing and image compression for their efficient time-frequency localization.
-
E.
Walsh
Walsh is a common Irish-origin surname borne by numerous notable figures across fields such as film, politics, sports, and literature.
- 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: Walsh matrix Triple: [Hadamard matrix, relatedTo, Walsh matrix]
Generated description
A Walsh matrix is a specific type of Hadamard matrix whose rows (Walsh functions) form an orthogonal set of square-wave patterns widely used in signal processing and communications.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Walsh matrix Target entity description: A Walsh matrix is a specific type of Hadamard matrix whose rows (Walsh functions) form an orthogonal set of square-wave patterns widely used in signal processing and communications.
-
A.
Hadamard matrices
chosen
Hadamard matrices are square matrices with entries ±1 whose rows are mutually orthogonal, playing a key role in combinatorics, coding theory, and signal processing.
-
B.
Vandermonde matrix
A Vandermonde matrix is a structured matrix whose rows (or columns) are geometric progressions of given numbers, widely used in polynomial interpolation, determinant theory, and numerical analysis.
-
C.
Haar wavelet
The Haar wavelet is the simplest and oldest wavelet function, used as a basic building block in wavelet analysis for representing signals with abrupt changes.
-
D.
Daubechies wavelets
Daubechies wavelets are a family of compactly supported orthogonal wavelets widely used in signal processing and image compression for their efficient time-frequency localization.
-
E.
Walsh
Walsh is a common Irish-origin surname borne by numerous notable figures across fields such as film, politics, sports, and literature.
- 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_69d81c5dd2d48190b7a5fc1e009de936 |
completed | April 9, 2026, 9:38 p.m. |
| NER | Named-entity recognition | batch_69de23a741908190bdf46d76c5f1411a |
completed | April 14, 2026, 11:23 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f7c71ca8a881908ac02687fbfe62fb |
completed | May 3, 2026, 10:07 p.m. |
| NEDg | Description generation | batch_69f7c7e1247481908073c1e282c3619f |
completed | May 3, 2026, 10:10 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69f7c8f2b5588190b6143d676eb648a0 |
completed | May 3, 2026, 10:15 p.m. |
Created at: April 9, 2026, 10:15 p.m.