Triple
T11560508
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Grace Wahba |
E274128
|
entity |
| Predicate | notableConcept |
P201
|
FINISHED |
| Object |
Wahba problem in spline smoothing
The Wahba problem in spline smoothing is a foundational statistical formulation that determines an optimal smoothing spline by balancing data fidelity with smoothness, widely used in nonparametric regression and curve fitting.
|
E933493
|
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: Wahba problem in spline smoothing | Statement: [Grace Wahba, notableConcept, Wahba problem in spline smoothing]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Wahba problem in spline smoothing Context triple: [Grace Wahba, notableConcept, Wahba problem in spline smoothing]
-
A.
B-splines
B-splines are piecewise polynomial functions widely used in computer graphics and numerical analysis to create smooth, flexible curves and surfaces controlled by a set of control points.
-
B.
Catmull–Rom spline
The Catmull–Rom spline is a type of interpolating spline commonly used in computer graphics and animation to create smooth curves that pass through a given set of control points.
-
C.
Extrapolation, Interpolation, and Smoothing of Stationary Time Series
"Extrapolation, Interpolation, and Smoothing of Stationary Time Series" is a foundational mathematical work by Norbert Wiener that developed the theory of optimal prediction and filtering for stationary stochastic processes, laying the groundwork for modern signal processing and control theory.
-
D.
On Estimation of a Probability Density Function and Mode
"On Estimation of a Probability Density Function and Mode" is a seminal statistical paper by Emanuel Parzen that develops kernel-based methods for nonparametric density and mode estimation.
-
E.
Kailath factorization in linear systems
Kailath factorization in linear systems is a matrix factorization technique used in control and signal processing to efficiently analyze and solve linear dynamical 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: Wahba problem in spline smoothing Triple: [Grace Wahba, notableConcept, Wahba problem in spline smoothing]
Generated description
The Wahba problem in spline smoothing is a foundational statistical formulation that determines an optimal smoothing spline by balancing data fidelity with smoothness, widely used in nonparametric regression and curve fitting.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Wahba problem in spline smoothing Target entity description: The Wahba problem in spline smoothing is a foundational statistical formulation that determines an optimal smoothing spline by balancing data fidelity with smoothness, widely used in nonparametric regression and curve fitting.
-
A.
B-splines
B-splines are piecewise polynomial functions widely used in computer graphics and numerical analysis to create smooth, flexible curves and surfaces controlled by a set of control points.
-
B.
Catmull–Rom spline
The Catmull–Rom spline is a type of interpolating spline commonly used in computer graphics and animation to create smooth curves that pass through a given set of control points.
-
C.
Extrapolation, Interpolation, and Smoothing of Stationary Time Series
"Extrapolation, Interpolation, and Smoothing of Stationary Time Series" is a foundational mathematical work by Norbert Wiener that developed the theory of optimal prediction and filtering for stationary stochastic processes, laying the groundwork for modern signal processing and control theory.
-
D.
On Estimation of a Probability Density Function and Mode
"On Estimation of a Probability Density Function and Mode" is a seminal statistical paper by Emanuel Parzen that develops kernel-based methods for nonparametric density and mode estimation.
-
E.
Kailath factorization in linear systems
Kailath factorization in linear systems is a matrix factorization technique used in control and signal processing to efficiently analyze and solve linear dynamical 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_69d6aae4dfa48190a3ab0b19a159a3c5 |
completed | April 8, 2026, 7:22 p.m. |
| NER | Named-entity recognition | batch_69d88a899d4481909a3bce3147763b51 |
completed | April 10, 2026, 5:28 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69e6e88b84d48190948243646bb5fd2b |
completed | April 21, 2026, 3:01 a.m. |
| NEDg | Description generation | batch_69e6ef951eb881909810b5923385c4c6 |
completed | April 21, 2026, 3:31 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69e6f92ed97c819081576add624dcc27 |
completed | April 21, 2026, 4:12 a.m. |
Created at: April 8, 2026, 9:37 p.m.