Triple

T59016
Position Surface form Disambiguated ID Type / Status
Subject Shannon entropy E1168 entity
Predicate isSpecialCaseOf P2372 FINISHED
Object Rényi entropy
Rényi entropy is a generalized measure of information and uncertainty that extends Shannon entropy by introducing a tunable order parameter to emphasize different aspects of a probability distribution.
E6393 NE FINISHED

How this triple was built (5 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: Rényi entropy | Statement: [Shannon entropy, isSpecialCaseOf, Rényi entropy]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Rényi entropy
Context triple: [Shannon entropy, isSpecialCaseOf, Rényi entropy]
  • A. Shannon entropy
    Shannon entropy is a fundamental measure in information theory that quantifies the average uncertainty or information content in a random variable or message source.
  • B. Bekenstein–Hawking entropy
    Bekenstein–Hawking entropy is the thermodynamic entropy associated with a black hole, proportional to the area of its event horizon and fundamental in linking gravity, quantum theory, and thermodynamics.
  • C. Feynman–Hellmann theorem
    The Feynman–Hellmann theorem is a result in quantum mechanics that relates the derivative of an energy eigenvalue with respect to a parameter in the Hamiltonian to the expectation value of the corresponding derivative of the Hamiltonian.
  • D. Communication Theory of Secrecy Systems
    Communication Theory of Secrecy Systems is Claude Shannon’s foundational paper that established the mathematical basis of modern cryptography and information-theoretic security.
  • E. Einstein–Smoluchowski relation
    The Einstein–Smoluchowski relation is a fundamental equation in statistical physics that links the diffusion coefficient of particles undergoing Brownian motion to their mobility and thermal energy.
  • 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: Rényi entropy
Triple: [Shannon entropy, isSpecialCaseOf, Rényi entropy]
Generated description
Rényi entropy is a generalized measure of information and uncertainty that extends Shannon entropy by introducing a tunable order parameter to emphasize different aspects of a probability distribution.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Rényi entropy
Target entity description: Rényi entropy is a generalized measure of information and uncertainty that extends Shannon entropy by introducing a tunable order parameter to emphasize different aspects of a probability distribution.
  • A. Shannon entropy
    Shannon entropy is a fundamental measure in information theory that quantifies the average uncertainty or information content in a random variable or message source.
  • B. Bekenstein–Hawking entropy
    Bekenstein–Hawking entropy is the thermodynamic entropy associated with a black hole, proportional to the area of its event horizon and fundamental in linking gravity, quantum theory, and thermodynamics.
  • C. Feynman–Hellmann theorem
    The Feynman–Hellmann theorem is a result in quantum mechanics that relates the derivative of an energy eigenvalue with respect to a parameter in the Hamiltonian to the expectation value of the corresponding derivative of the Hamiltonian.
  • D. Communication Theory of Secrecy Systems
    Communication Theory of Secrecy Systems is Claude Shannon’s foundational paper that established the mathematical basis of modern cryptography and information-theoretic security.
  • E. Einstein–Smoluchowski relation
    The Einstein–Smoluchowski relation is a fundamental equation in statistical physics that links the diffusion coefficient of particles undergoing Brownian motion to their mobility and thermal energy.
  • F. None of above. chosen
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isSpecialCaseOf
Context triple: [Shannon entropy, isSpecialCaseOf, Rényi entropy]
  • A. isBaseFor
    Indicates that one entity serves as the foundational support, starting point, or underlying basis upon which another entity is built, developed, or depends.
  • B. subclassOf
    Indicates that one class is a more specific type of another class, inheriting its characteristics as a subset of it.
  • C. isSpurOf
    Indicates that one entity is a secondary offshoot, branch, or derivative extension originating from another primary entity.
  • D. generalizationOf chosen
    Indicates that one entity represents a broader, more general concept or category that subsumes or abstracts over another, more specific entity.
  • E. isDistinctFrom
    Indicates that two entities are not identical and can be clearly distinguished from one another.
  • F. None of above.

Provenance (6 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_69a24a552ef88190a0df287d68c65cba completed Feb. 28, 2026, 1:52 a.m.
NER Named-entity recognition batch_69a250e401288190ba12322c9c5f07c9 completed Feb. 28, 2026, 2:20 a.m.
NED1 Entity disambiguation (via context triple) batch_69a25ab7ec3881909356c659f4664fb8 completed Feb. 28, 2026, 3:02 a.m.
NEDg Description generation batch_69a25ba79ab881909fa4570aa2acf402 completed Feb. 28, 2026, 3:06 a.m.
NED2 Entity disambiguation (via description) batch_69a25c28192081909853f2833f1472ef completed Feb. 28, 2026, 3:08 a.m.
PD Predicate disambiguation batch_69a24e9f40908190a2f4a2111469b733 completed Feb. 28, 2026, 2:10 a.m.
Created at: Feb. 28, 2026, 1:55 a.m.