Triple

T25725553
Position Surface form Disambiguated ID Type / Status
Subject Itô–Taylor expansion E645107 entity
Predicate instanceOf P0 FINISHED
Object tool in stochastic analysis C42144 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: tool in stochastic analysis
Context triple: [Itô–Taylor expansion, instanceOf, tool in stochastic analysis]
  • A. tool in large deviation theory
    A tool in large deviation theory is a mathematical method or result—such as rate functions, the Gartner–Ellis theorem, or contraction principles—used to quantify and analyze the exponentially small probabilities of rare events in stochastic systems.
  • B. tool in geometric analysis
    A tool in geometric analysis is a mathematical method, concept, or construction used to study and characterize the geometric and analytic properties of spaces, shapes, and mappings.
  • C. stochastic process
    A stochastic process is a collection of random variables indexed by time or space that describes the evolution of a system subject to inherent randomness.
  • D. tool in signal processing
    A tool in signal processing is a conceptual or physical mechanism—such as an algorithm, filter, transform, or software module—used to analyze, modify, or extract information from signals.
  • E. tool in approximation theory chosen
    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.
  • 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_69e77e8476fc8190bd5e9d05b89fad0a completed April 21, 2026, 1:41 p.m.
Created at: April 21, 2026, 10:23 p.m.