Triple

T1462627
Position Surface form Disambiguated ID Type / Status
Subject Euler–Maruyama method E31546 entity
Predicate isDiscretizationOf P28233 FINISHED
Object Itô integral E9112 NE FINISHED

How this triple was built (3 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: Itô integral | Statement: [Euler–Maruyama method, isDiscretizationOf, Itô integral]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Itô integral
Context triple: [Euler–Maruyama method, isDiscretizationOf, Itô integral]
  • A. Itô calculus chosen
    Itô calculus is a branch of stochastic analysis that extends classical calculus to functions of stochastic processes, particularly Brownian motion, enabling rigorous treatment of stochastic differential equations.
  • B. Itô’s lemma
    Itô’s lemma is a fundamental result in stochastic calculus that generalizes the chain rule to functions of stochastic processes, especially Brownian motion.
  • C. 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.
  • D. 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.
  • 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.
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isDiscretizationOf
Context triple: [Euler–Maruyama method, isDiscretizationOf, Itô integral]
  • A. isVersionOf
    Indicates that one entity is a particular version, edition, or variant derived from another entity.
  • B. isModelOf chosen
    Indicates that one entity serves as a representation or abstraction that captures the structure or behavior of another entity.
  • C. isAbstractVersionOf
    Indicates that one entity represents a conceptual, generalized, or non-concrete version of another, more specific or concrete entity.
  • D. isSeriesOf
    Indicates that one entity is a sequence or set of related items that collectively form a series associated with another entity.
  • E. isBackboneOf
    Indicates that one entity forms the main supporting structure or central framework upon which another entity fundamentally depends.
  • F. None of above.

Provenance (4 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_69a49917dfc081909acdbdf5d684f1ef completed March 1, 2026, 7:52 p.m.
NER Named-entity recognition batch_69a4c5b6e36c81909c47b2f7e66f17d7 completed March 1, 2026, 11:03 p.m.
NED1 Entity disambiguation (via context triple) batch_69ad0e7ab538819090bc3e3ed1bbff64 completed March 8, 2026, 5:51 a.m.
PD Predicate disambiguation batch_69a4c48121e48190946c23c583e5fb64 completed March 1, 2026, 10:58 p.m.
Created at: March 1, 2026, 8 p.m.