Triple

T11978121
Position Surface form Disambiguated ID Type / Status
Subject Introduction to Stochastic Control Theory E285086 entity
Predicate subject P450 FINISHED
Object linear quadratic Gaussian control
Linear quadratic Gaussian control is an optimal control framework for linear dynamical systems with quadratic cost functions and Gaussian noise, widely used in engineering and applied mathematics for designing robust feedback controllers.
E957999 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: linear quadratic Gaussian control | Statement: [Introduction to Stochastic Control Theory, subject, linear quadratic Gaussian control]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: linear quadratic Gaussian control
Context triple: [Introduction to Stochastic Control Theory, subject, linear quadratic Gaussian control]
  • A. Constrained Control and Estimation
    "Constrained Control and Estimation" is a technical book that develops theory and methods for designing control and estimation systems subject to practical constraints, widely used in advanced control engineering and research.
  • B. Quantitative Feedback Theory
    Quantitative Feedback Theory is a robust control design methodology that uses frequency-domain techniques and quantitative bounds to ensure system performance and stability under uncertainty.
  • C. control theory
    Control theory is a branch of engineering and mathematics that studies how to model, analyze, and design systems that regulate their own behavior using feedback.
  • D. Stability of Linear Systems
    "Stability of Linear Systems" is a foundational book by Eliahu I. Jury that systematically develops the theory and criteria for determining the stability of linear dynamical and control systems.
  • E. Nonlinear Control Systems
    Nonlinear Control Systems is a foundational textbook by Alberto Isidori that systematically develops the theory and design methods for controlling nonlinear dynamical systems.
  • 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: linear quadratic Gaussian control
Triple: [Introduction to Stochastic Control Theory, subject, linear quadratic Gaussian control]
Generated description
Linear quadratic Gaussian control is an optimal control framework for linear dynamical systems with quadratic cost functions and Gaussian noise, widely used in engineering and applied mathematics for designing robust feedback controllers.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: linear quadratic Gaussian control
Target entity description: Linear quadratic Gaussian control is an optimal control framework for linear dynamical systems with quadratic cost functions and Gaussian noise, widely used in engineering and applied mathematics for designing robust feedback controllers.
  • A. Constrained Control and Estimation
    "Constrained Control and Estimation" is a technical book that develops theory and methods for designing control and estimation systems subject to practical constraints, widely used in advanced control engineering and research.
  • B. Quantitative Feedback Theory
    Quantitative Feedback Theory is a robust control design methodology that uses frequency-domain techniques and quantitative bounds to ensure system performance and stability under uncertainty.
  • C. control theory
    Control theory is a branch of engineering and mathematics that studies how to model, analyze, and design systems that regulate their own behavior using feedback.
  • D. Stability of Linear Systems
    "Stability of Linear Systems" is a foundational book by Eliahu I. Jury that systematically develops the theory and criteria for determining the stability of linear dynamical and control systems.
  • E. Nonlinear Control Systems
    Nonlinear Control Systems is a foundational textbook by Alberto Isidori that systematically develops the theory and design methods for controlling nonlinear dynamical systems.
  • 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_69d6ab2eaeb881909f7914758f859413 completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d90393cfb08190b5b45d3e5e32fad3 completed April 10, 2026, 2:05 p.m.
NED1 Entity disambiguation (via context triple) batch_69f471f6afc48190856a0f7c486b28aa completed May 1, 2026, 9:27 a.m.
NEDg Description generation batch_69f47b7ac4048190ae09f18f1a90338f completed May 1, 2026, 10:07 a.m.
NED2 Entity disambiguation (via description) batch_69f47db91f38819092b7b5c5e2bb489b completed May 1, 2026, 10:17 a.m.
Created at: April 8, 2026, 9:46 p.m.