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Record W4311169154 · doi:10.1088/1751-8121/aca639

Corrigendum: Emergence of order in random languages (2019 <i>J. Phys. A: Math. Theor.</i> 52 504001)

2022· erratum· en· W4311169154 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.
fundA Canadian funder is recorded on the work.

Bibliographic record

VenueJournal of Physics A Mathematical and Theoretical · 2022
Typeerratum
Languageen
FieldBiochemistry, Genetics and Molecular Biology
TopicFractal and DNA sequence analysis
Canadian institutionsToronto Metropolitan University
FundersNatural Sciences and Engineering Research Council of Canada
KeywordsSaddle pointMathematicsExtension (predicate logic)Diagrammatic reasoningSaddleGaussianOrder (exchange)Applied mathematicsFlow (mathematics)Statistical physicsPure mathematicsCombinatoricsPhysicsComputer scienceQuantum mechanicsMathematical optimizationGeometry

Abstract

fetched live from OpenAlex

Abstract De Giuli (2019 J. Phys. A: Math. Theor. 52 504001) proposed a diagrammatic formulation of the random language model (RLM); explained why the model is dominated by saddle-points; and sought the solution to the disorder-averaged model by comparison to a simpler, solvable model. We discuss a hidden assumption of the latter analysis in De Giuli (2019 J. Phys. A: Math. Theor. 52 504001) that was neither explained nor motivated: the analytical solution to the Gaussian model, and its extension to the RLM, are predicated on a ‘downwards’ approximation that neglects information flow from the leaves to the root of derivation trees.

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.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation 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: Empirical
Teacher disagreement score0.239
Threshold uncertainty score0.970

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0010.000
Bibliometrics0.0000.000
Science and technology studies0.0000.001
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.001
Insufficient payload (model declined to judge)0.0010.000

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 head0.006
GPT teacher head0.247
Teacher spread0.241 · 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