Triple

T5973630
Position Surface form Disambiguated ID Type / Status
Subject Siméon Denis Poisson E132932 entity
Predicate notableWork P4 FINISHED
Object Poisson process
The Poisson process is a fundamental stochastic process in probability theory that models random events occurring independently over time or space at a constant average rate.
E559807 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: Poisson process | Statement: [Siméon Denis Poisson, notableWork, Poisson process]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Poisson process
Context triple: [Siméon Denis Poisson, notableWork, Poisson process]
  • A. Stochastic Processes
    "Stochastic Processes" is a foundational textbook by Emanuel Parzen that rigorously introduces the theory and applications of random processes in probability and statistics.
  • B. Markov processes
    Markov processes are stochastic processes in which the future evolution depends only on the present state and not on the past history.
  • C. Khinchin–Pollaczek formula
    The Khinchin–Pollaczek formula is a result in probability theory and queueing theory that provides an explicit expression for the stationary waiting-time distribution in certain single-server queues.
  • D. Poisson distribution has P(s) = e^{-s}
    The Poisson distribution with P(s) = e^{-s} is a simple statistical model describing uncorrelated, randomly spaced events, often used as a reference for comparison in random matrix theory and spectral statistics.
  • E. 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.
  • 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: Poisson process
Triple: [Siméon Denis Poisson, notableWork, Poisson process]
Generated description
The Poisson process is a fundamental stochastic process in probability theory that models random events occurring independently over time or space at a constant average rate.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Poisson process
Target entity description: The Poisson process is a fundamental stochastic process in probability theory that models random events occurring independently over time or space at a constant average rate.
  • A. Stochastic Processes
    "Stochastic Processes" is a foundational textbook by Emanuel Parzen that rigorously introduces the theory and applications of random processes in probability and statistics.
  • B. Markov processes
    Markov processes are stochastic processes in which the future evolution depends only on the present state and not on the past history.
  • C. Khinchin–Pollaczek formula
    The Khinchin–Pollaczek formula is a result in probability theory and queueing theory that provides an explicit expression for the stationary waiting-time distribution in certain single-server queues.
  • D. Poisson distribution has P(s) = e^{-s}
    The Poisson distribution with P(s) = e^{-s} is a simple statistical model describing uncorrelated, randomly spaced events, often used as a reference for comparison in random matrix theory and spectral statistics.
  • E. 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.
  • 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_69c0086deab081908550159ca23eec9b completed March 22, 2026, 3:19 p.m.
NER Named-entity recognition batch_69c04a01dd4081909097342afff31f9b completed March 22, 2026, 7:58 p.m.
NED1 Entity disambiguation (via context triple) batch_69c0e40fa2488190b82d604d51b73090 completed March 23, 2026, 6:56 a.m.
NEDg Description generation batch_69c0f85e33d8819080d9d721421b4c5b completed March 23, 2026, 8:22 a.m.
NED2 Entity disambiguation (via description) batch_69c0fad0bdf08190bf6599d492848582 completed March 23, 2026, 8:33 a.m.
Created at: March 22, 2026, 4:03 p.m.