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Record W1590000758 · doi:10.2298/fil1602469p

Proximal relator spaces

2016· article· it· W1590000758 on OpenAlexafffund
J. F. Peters

Bibliographic record

VenueFilomat · 2016
Typearticle
Languageit
FieldComputer Science
TopicAdvanced Algebra and Logic
Canadian institutionsUniversity of Manitoba
FundersNatural Sciences and Engineering Research Council of CanadaTürkiye Bilimsel ve Teknolojik Araştırma Kurumu
KeywordsMathematicsClosure (psychology)Space (punctuation)Extension (predicate logic)CombinatoricsPure mathematics

Abstract

fetched live from OpenAlex

This article introduces proximal relator spaces. The basic approach is to define a nonvoid family of proximity relations RδΦ (called a proximal relator) on a nonempty set. The pair (X,RδΦ) (also denoted X(RδΦ)) is called a proximal relator space. Then, for example, the traditional closure of a subset of the Száz relator space (X,R) can be compared with the more recent descriptive closure of a subset of (X,RδΦ). This leads to an extension of fat and dense subsets of the relator space (X,R) to proximal fat and dense subsets of the proximal relator space (X,RδΦ).

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.003
metaresearch head score (Gemma)0.004
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.011
Threshold uncertainty score0.038

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0030.004
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0030.002
Science and technology studies0.0020.005
Scholarly communication0.0040.011
Open science0.0020.006
Research integrity0.0010.003
Insufficient payload (model declined to judge)0.0110.003

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.017
GPT teacher head0.237
Teacher spread0.220 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations35
Published2016
Admission routes2
Has abstractyes

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