Triple

T11961957
Position Surface form Disambiguated ID Type / Status
Subject Clark–Ocone formula E284688 entity
Predicate integrandGivenBy P94170 FINISHED
Object conditional expectation of the Malliavin derivative given the filtration LITERAL 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: conditional expectation of the Malliavin derivative given the filtration | Statement: [Clark–Ocone formula, integrandGivenBy, conditional expectation of the Malliavin derivative given the filtration]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: integrandGivenBy
Context triple: [Clark–Ocone formula, integrandGivenBy, conditional expectation of the Malliavin derivative given the filtration]
  • A. integrandFeature chosen
    Indicates that a specific mathematical feature or property is part of, or characterizes, the integrand in an integration expression or operation.
  • B. integralTo
    Indicates that one entity is an essential, non-removable component or part of another entity, such that the whole depends on it to function or be complete.
  • C. integralVersionUsedIn
    Indicates that a specific integral version (e.g., of a component, document, or artifact) is utilized within or by another entity or process.
  • D. integrates
    Indicates that one entity combines or brings together another entity or set of entities into a unified, functioning whole.
  • E. isIntegralFormOf
    Indicates that one entity is the integral (indefinite integral or antiderivative) form corresponding to another entity, typically a derivative or differential expression.
  • F. None of above.

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_69d6ab2eaeb881909f7914758f859413 completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d9037848f481908276716675464464 completed April 10, 2026, 2:04 p.m.
PD Predicate disambiguation batch_69d8bb40f30c8190a0e0719bd67542bf completed April 10, 2026, 8:56 a.m.
Created at: April 8, 2026, 9:45 p.m.