Triple
T7161973
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Vito Volterra |
E166967
|
entity |
| Predicate | knownFor |
P22
|
FINISHED |
| Object |
Volterra series
The Volterra series is a mathematical framework that generalizes the Taylor series to model nonlinear and time-varying systems, widely used in physics, engineering, and signal processing.
|
E645177
|
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: Volterra series | Statement: [Vito Volterra, knownFor, Volterra series]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Volterra series Context triple: [Vito Volterra, knownFor, Volterra series]
-
A.
Wiener–Hopf equations
Wiener–Hopf equations are integral equations that arise in problems of filtering, prediction, and diffraction, forming the mathematical foundation for optimal linear filters such as the Wiener filter.
-
B.
Mittag-Leffler function
The Mittag-Leffler function is a complex function that generalizes the exponential function and plays a central role in fractional calculus and the theory of differential and integral equations.
-
C.
Ornstein–Uhlenbeck process
The Ornstein–Uhlenbeck process is a continuous-time stochastic process that models mean-reverting random motion, widely used in physics and quantitative finance to describe systems fluctuating around a long-term equilibrium.
-
D.
Lyapunov equation
The Lyapunov equation is a fundamental matrix equation in control theory and dynamical systems used to analyze the stability of equilibrium points and design stable controllers.
-
E.
Wiener filter
The Wiener filter is a signal processing technique that optimally estimates a desired signal from noisy observations by minimizing the mean square error, based on statistical properties of signal and noise.
- 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: Volterra series Triple: [Vito Volterra, knownFor, Volterra series]
Generated description
The Volterra series is a mathematical framework that generalizes the Taylor series to model nonlinear and time-varying systems, widely used in physics, engineering, and signal processing.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Volterra series Target entity description: The Volterra series is a mathematical framework that generalizes the Taylor series to model nonlinear and time-varying systems, widely used in physics, engineering, and signal processing.
-
A.
Wiener–Hopf equations
Wiener–Hopf equations are integral equations that arise in problems of filtering, prediction, and diffraction, forming the mathematical foundation for optimal linear filters such as the Wiener filter.
-
B.
Mittag-Leffler function
The Mittag-Leffler function is a complex function that generalizes the exponential function and plays a central role in fractional calculus and the theory of differential and integral equations.
-
C.
Ornstein–Uhlenbeck process
The Ornstein–Uhlenbeck process is a continuous-time stochastic process that models mean-reverting random motion, widely used in physics and quantitative finance to describe systems fluctuating around a long-term equilibrium.
-
D.
Lyapunov equation
The Lyapunov equation is a fundamental matrix equation in control theory and dynamical systems used to analyze the stability of equilibrium points and design stable controllers.
-
E.
Wiener filter
The Wiener filter is a signal processing technique that optimally estimates a desired signal from noisy observations by minimizing the mean square error, based on statistical properties of signal and noise.
- 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_69c68887a5cc8190bec0ea96227164f7 |
completed | March 27, 2026, 1:39 p.m. |
| NER | Named-entity recognition | batch_69c6e82e4b248190ad3c3863cb93971e |
completed | March 27, 2026, 8:27 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c7adc4b7648190969fab0351f9fd22 |
completed | March 28, 2026, 10:30 a.m. |
| NEDg | Description generation | batch_69c7ae44e0d48190818b193e03aba6a4 |
completed | March 28, 2026, 10:32 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c7aeb68c3481909c6dff8ee51349ab |
completed | March 28, 2026, 10:34 a.m. |
Created at: March 27, 2026, 2:47 p.m.