Triple

T7853035

Position	Surface form	Disambiguated ID	Type / Status
Subject	Peter Whittle	`E182102`	entity
Predicate	knownFor	`P22`	FINISHED
Object	Whittle index The Whittle index is a heuristic index policy in stochastic control and multi-armed bandit problems that provides a tractable way to make near-optimal sequential decisions under uncertainty.	`E695660`	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: Whittle index | Statement: [Peter Whittle, knownFor, Whittle index]

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: Whittle index
Context triple: [Peter Whittle, knownFor, Whittle index]

A. Foundations of a General Theory of Sequential Decision Functions
Foundations of a General Theory of Sequential Decision Functions is a seminal work in statistics that established the mathematical foundations of sequential analysis and optimal decision-making under uncertainty.
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. Snell envelope
The Snell envelope is a stochastic process that represents the smallest supermartingale dominating a given process and is fundamental in optimal stopping theory and the valuation of American-style options.
D. 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.
E. Statistical Decision Functions
Statistical Decision Functions is a foundational work in decision theory and statistics that systematically develops the theory of optimal decision-making under uncertainty.
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: Whittle index
Triple: [Peter Whittle, knownFor, Whittle index]

Generated description

The Whittle index is a heuristic index policy in stochastic control and multi-armed bandit problems that provides a tractable way to make near-optimal sequential decisions under uncertainty.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: Whittle index
Target entity description: The Whittle index is a heuristic index policy in stochastic control and multi-armed bandit problems that provides a tractable way to make near-optimal sequential decisions under uncertainty.

A. Foundations of a General Theory of Sequential Decision Functions
Foundations of a General Theory of Sequential Decision Functions is a seminal work in statistics that established the mathematical foundations of sequential analysis and optimal decision-making under uncertainty.
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. Snell envelope
The Snell envelope is a stochastic process that represents the smallest supermartingale dominating a given process and is fundamental in optimal stopping theory and the valuation of American-style options.
D. 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.
E. Statistical Decision Functions
Statistical Decision Functions is a foundational work in decision theory and statistics that systematically develops the theory of optimal decision-making under uncertainty.
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_69ca82869ee08190b8f9040dbc2c0467`	completed	March 30, 2026, 2:02 p.m.
NER	Named-entity recognition	`batch_69cb18ed56d481909266d862e0ae152d`	completed	March 31, 2026, 12:44 a.m.
NED1	Entity disambiguation (via context triple)	`batch_69cb5b161a4881909641f3a29c1650b4`	completed	March 31, 2026, 5:26 a.m.
NEDg	Description generation	`batch_69cb5f1c9ef08190b1b79482f39966c7`	completed	March 31, 2026, 5:43 a.m.
NED2	Entity disambiguation (via description)	`batch_69cb767b198481909cfc1f7a44e6f0d8`	completed	March 31, 2026, 7:23 a.m.

Created at: March 30, 2026, 4:51 p.m.