Triple

T10803597
Position Surface form Disambiguated ID Type / Status
Subject Ornstein–Uhlenbeck process E254905 entity
Predicate hasAlternativeName P39 FINISHED
Object Ornstein-Uhlenbeck process E48273 NE FINISHED

How this triple was built (2 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: Ornstein-Uhlenbeck process | Statement: [Ornstein–Uhlenbeck process, hasAlternativeName, Ornstein-Uhlenbeck process]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Ornstein-Uhlenbeck process
Context triple: [Ornstein–Uhlenbeck process, hasAlternativeName, Ornstein-Uhlenbeck process]
  • A. Ornstein–Uhlenbeck process chosen
    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.
  • B. Itô processes
    Itô processes are a class of stochastic processes, typically modeled as solutions to stochastic differential equations, that form the fundamental objects of study in Itô calculus and modern stochastic analysis.
  • C. Brownian motion
    Brownian motion is the random, jittery movement of microscopic particles suspended in a fluid, whose explanation provided key evidence for the existence of atoms and the molecular nature of matter.
  • D. Fokker–Planck equation
    The Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability density function of a stochastic (random) process, such as Brownian motion.
  • E. Feynman–Kac formula
    The Feynman–Kac formula is a fundamental result connecting solutions of certain partial differential equations with expectations over stochastic processes, forming a bridge between quantum mechanics, probability theory, and mathematical finance.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69d6aa61c15c8190a1839550c56e75e1 completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d7336feff88190b638b7d62d34da0e completed April 9, 2026, 5:04 a.m.
NED1 Entity disambiguation (via context triple) batch_69de850209ac8190a7bf3a6d429d1217 completed April 14, 2026, 6:18 p.m.
Created at: April 8, 2026, 9:18 p.m.