Triple

T1311622
Position Surface form Disambiguated ID Type / Status
Subject Thomas Kailath E28003 entity
Predicate knownFor P22 FINISHED
Object Kailath factorization in linear systems
Kailath factorization in linear systems is a matrix factorization technique used in control and signal processing to efficiently analyze and solve linear dynamical systems.
E150235 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: Kailath factorization in linear systems | Statement: [Thomas Kailath, knownFor, Kailath factorization in linear systems]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Kailath factorization in linear systems
Context triple: [Thomas Kailath, knownFor, Kailath factorization in linear systems]
  • A. Carathéodory–Fejér interpolation
    Carathéodory–Fejér interpolation is a classical result in complex analysis and approximation theory that concerns constructing analytic functions, typically with bounded or positive real part, that match prescribed initial Taylor coefficients.
  • B. IEEE Transactions on Signal Processing
    IEEE Transactions on Signal Processing is a leading peer-reviewed journal that publishes advanced research on the theory, algorithms, and applications of signal processing.
  • C. A Mathematical Theory of Communication
    A Mathematical Theory of Communication is Claude Shannon’s landmark 1948 paper that founded information theory by rigorously defining concepts like information, entropy, and channel capacity.
  • D. A Vaidyanathan
    A Vaidyanathan was a prominent Indian economist known for his influential work on agrarian relations, rural development, and public policy.
  • E. 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.
  • 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: Kailath factorization in linear systems
Triple: [Thomas Kailath, knownFor, Kailath factorization in linear systems]
Generated description
Kailath factorization in linear systems is a matrix factorization technique used in control and signal processing to efficiently analyze and solve linear dynamical systems.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Kailath factorization in linear systems
Target entity description: Kailath factorization in linear systems is a matrix factorization technique used in control and signal processing to efficiently analyze and solve linear dynamical systems.
  • A. Carathéodory–Fejér interpolation
    Carathéodory–Fejér interpolation is a classical result in complex analysis and approximation theory that concerns constructing analytic functions, typically with bounded or positive real part, that match prescribed initial Taylor coefficients.
  • B. IEEE Transactions on Signal Processing
    IEEE Transactions on Signal Processing is a leading peer-reviewed journal that publishes advanced research on the theory, algorithms, and applications of signal processing.
  • C. A Mathematical Theory of Communication
    A Mathematical Theory of Communication is Claude Shannon’s landmark 1948 paper that founded information theory by rigorously defining concepts like information, entropy, and channel capacity.
  • D. A Vaidyanathan
    A Vaidyanathan was a prominent Indian economist known for his influential work on agrarian relations, rural development, and public policy.
  • E. 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.
  • 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_69a498532c3481909223b74af2e578df completed March 1, 2026, 7:49 p.m.
NER Named-entity recognition batch_69a4c1560f888190bdd9107b08395e0b completed March 1, 2026, 10:44 p.m.
NED1 Entity disambiguation (via context triple) batch_69acbaec736881909645919764d73f5f completed March 7, 2026, 11:55 p.m.
NEDg Description generation batch_69acbbe67f0881908796ae064e72571d completed March 7, 2026, 11:59 p.m.
NED2 Entity disambiguation (via description) batch_69acbc8c3cc88190a0764b8d306b40ab completed March 8, 2026, 12:02 a.m.
Created at: March 1, 2026, 7:55 p.m.