Triple

T14572598
Position Surface form Disambiguated ID Type / Status
Subject Gisiro Maruyama E341955 entity
Predicate notableWork P4 FINISHED
Object "Continuous Markov Processes and Stochastic Equations"
"Continuous Markov Processes and Stochastic Equations" is a foundational mathematical work that rigorously develops the theory of continuous-time Markov processes and their representation via stochastic differential equations.
E1106456 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: "Continuous Markov Processes and Stochastic Equations" | Statement: [Gisiro Maruyama, notableWork, "Continuous Markov Processes and Stochastic Equations"]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: "Continuous Markov Processes and Stochastic Equations"
Context triple: [Gisiro Maruyama, notableWork, "Continuous Markov Processes and Stochastic Equations"]
  • A. Processus stochastiques et mouvement brownien
    Processus stochastiques et mouvement brownien is a foundational mathematical work by Paul Lévy that develops the theory of stochastic processes and Brownian motion.
  • B. Introduction to Stochastic Control Theory
    Introduction to Stochastic Control Theory is a foundational textbook that systematically develops the theory and methods for controlling dynamical systems under uncertainty using probabilistic and stochastic-process tools.
  • C. Random Walk and the Theory of Brownian Motion
    "Random Walk and the Theory of Brownian Motion" is a mathematical work by Mark Kac that rigorously develops the connection between discrete random walks and continuous Brownian motion within probability theory.
  • D. Modern Probability Theory and Its Applications
    "Modern Probability Theory and Its Applications" is a foundational textbook by Emanuel Parzen that systematically develops modern probability theory and demonstrates its use in a wide range of statistical and applied contexts.
  • E. Freidlin–Wentzell theory
    Freidlin–Wentzell theory is a mathematical framework in probability that analyzes the behavior of stochastic dynamical systems under small random perturbations using large deviation principles.
  • 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: "Continuous Markov Processes and Stochastic Equations"
Triple: [Gisiro Maruyama, notableWork, "Continuous Markov Processes and Stochastic Equations"]
Generated description
"Continuous Markov Processes and Stochastic Equations" is a foundational mathematical work that rigorously develops the theory of continuous-time Markov processes and their representation via stochastic differential equations.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: "Continuous Markov Processes and Stochastic Equations"
Target entity description: "Continuous Markov Processes and Stochastic Equations" is a foundational mathematical work that rigorously develops the theory of continuous-time Markov processes and their representation via stochastic differential equations.
  • A. Processus stochastiques et mouvement brownien
    Processus stochastiques et mouvement brownien is a foundational mathematical work by Paul Lévy that develops the theory of stochastic processes and Brownian motion.
  • B. Introduction to Stochastic Control Theory
    Introduction to Stochastic Control Theory is a foundational textbook that systematically develops the theory and methods for controlling dynamical systems under uncertainty using probabilistic and stochastic-process tools.
  • C. Random Walk and the Theory of Brownian Motion
    "Random Walk and the Theory of Brownian Motion" is a mathematical work by Mark Kac that rigorously develops the connection between discrete random walks and continuous Brownian motion within probability theory.
  • D. Modern Probability Theory and Its Applications
    "Modern Probability Theory and Its Applications" is a foundational textbook by Emanuel Parzen that systematically develops modern probability theory and demonstrates its use in a wide range of statistical and applied contexts.
  • E. Freidlin–Wentzell theory
    Freidlin–Wentzell theory is a mathematical framework in probability that analyzes the behavior of stochastic dynamical systems under small random perturbations using large deviation principles.
  • 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_69d822dcc6248190bed689984bceb0e2 completed April 9, 2026, 10:06 p.m.
NER Named-entity recognition batch_69deb3f33b1c8190bb447788bfd28d51 completed April 14, 2026, 9:38 p.m.
NED1 Entity disambiguation (via context triple) batch_69fd8aca591081908db149ec517a999b completed May 8, 2026, 7:03 a.m.
NEDg Description generation batch_69fd8bd70488819083f40c38575f3071 completed May 8, 2026, 7:08 a.m.
NED2 Entity disambiguation (via description) batch_69fd8d4f2e848190a3c4c423c0ffed50 completed May 8, 2026, 7:14 a.m.
Created at: April 10, 2026, 1:24 a.m.