Triple

T12282760
Position Surface form Disambiguated ID Type / Status
Subject Gaussian process E292752 entity
Predicate hasSpecialCase P7025 FINISHED
Object Matérn kernel GP
Matérn kernel GP is a Gaussian process model that uses the Matérn covariance function to flexibly control function smoothness and correlation structure in spatial and regression modeling.
E292752 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: Matérn kernel GP | Statement: [Gaussian process, hasSpecialCase, Matérn kernel GP]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Matérn kernel GP
Context triple: [Gaussian process, hasSpecialCase, Matérn kernel GP]
  • A. Gaussian process
    A Gaussian process is a collection of random variables indexed by a set (often time or space) such that every finite subset has a joint multivariate normal distribution, widely used to model functions in probability theory and machine learning.
  • B. Bayesian optimization
    Bayesian optimization is a sample-efficient global optimization strategy that uses probabilistic surrogate models, typically Gaussian processes, to optimize expensive black-box functions with as few evaluations as possible.
  • C. Bayesian linear regression
    Bayesian linear regression is a statistical modeling approach that treats regression coefficients and predictions probabilistically by placing prior distributions on parameters and updating them with observed data.
  • D. neural tangent kernel
    The neural tangent kernel is a theoretical construct that characterizes the training dynamics and generalization of infinitely wide neural networks by relating gradient descent to kernel methods.
  • E. Dirichlet process models
    Dirichlet process models are a class of Bayesian nonparametric models that allow flexible, potentially infinite mixture modeling without fixing the number of components in advance.
  • 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: Matérn kernel GP
Triple: [Gaussian process, hasSpecialCase, Matérn kernel GP]
Generated description
Matérn kernel GP is a Gaussian process model that uses the Matérn covariance function to flexibly control function smoothness and correlation structure in spatial and regression modeling.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Matérn kernel GP
Target entity description: Matérn kernel GP is a Gaussian process model that uses the Matérn covariance function to flexibly control function smoothness and correlation structure in spatial and regression modeling.
  • A. Gaussian process chosen
    A Gaussian process is a collection of random variables indexed by a set (often time or space) such that every finite subset has a joint multivariate normal distribution, widely used to model functions in probability theory and machine learning.
  • B. Bayesian optimization
    Bayesian optimization is a sample-efficient global optimization strategy that uses probabilistic surrogate models, typically Gaussian processes, to optimize expensive black-box functions with as few evaluations as possible.
  • C. Bayesian linear regression
    Bayesian linear regression is a statistical modeling approach that treats regression coefficients and predictions probabilistically by placing prior distributions on parameters and updating them with observed data.
  • D. neural tangent kernel
    The neural tangent kernel is a theoretical construct that characterizes the training dynamics and generalization of infinitely wide neural networks by relating gradient descent to kernel methods.
  • E. Dirichlet process models
    Dirichlet process models are a class of Bayesian nonparametric models that allow flexible, potentially infinite mixture modeling without fixing the number of components in advance.
  • F. None of above.

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_69d6ab690ad081908c0ed3870ec82d53 completed April 8, 2026, 7:24 p.m.
NER Named-entity recognition batch_69d91cf2b09c81908a11581d33f65be0 completed April 10, 2026, 3:53 p.m.
NED1 Entity disambiguation (via context triple) batch_69f61e70dec8819098199fbb54d888c1 completed May 2, 2026, 3:55 p.m.
NEDg Description generation batch_69f61f5bc1fc8190af9d74acc307ebe1 completed May 2, 2026, 3:59 p.m.
NED2 Entity disambiguation (via description) batch_69f62041f2408190ad320fec5283abdd completed May 2, 2026, 4:03 p.m.
Created at: April 8, 2026, 9:52 p.m.