Triple
T37547108
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Wahba problem in spline smoothing |
E933493
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | smoothing spline formulation |
C22192
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: smoothing spline formulation Context triple: [Wahba problem in spline smoothing, instanceOf, smoothing spline formulation]
-
A.
spline
A spline is a smooth, piecewise-defined mathematical curve constructed from polynomial segments joined together with continuity constraints, commonly used for interpolation, approximation, and geometric modeling.
-
B.
piecewise polynomial function
chosen
A piecewise polynomial function is a function defined by different polynomial expressions on distinct intervals of its domain, with each piece applying over a specific subrange.
-
C.
reproducing kernel
A reproducing kernel is a positive-definite function on a set that allows every function in an associated Hilbert space to be evaluated at any point via an inner product with the kernel.
-
D.
tool in approximation theory
A tool in approximation theory is a mathematical method, theorem, or construct used to analyze, measure, or improve how well functions or data can be approximated by simpler or more tractable representations.
-
E.
quadratic form
A quadratic form is a homogeneous polynomial of degree two in several variables, typically expressed as xᵀAx for a symmetric matrix A, that defines a scalar-valued function capturing curvature and geometric properties such as lengths, angles, and conic sections.
- F. None of above.
Provenance (1 batch)
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_69f76eca55bc8190acf25741793d5dac |
completed | May 3, 2026, 3:50 p.m. |
Created at: May 3, 2026, 4:17 p.m.