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Record W4407368399 · doi:10.1051/ps/2025002

Broadcasting in random recursive dags

2025· article· en· W4407368399 on OpenAlexaff
Simon Briend, Luc Devroye, Gábor Lugosi

Bibliographic record

VenueESAIM Probability and Statistics · 2025
Typearticle
Languageen
FieldComputer Science
TopicAlgorithms and Data Compression
Canadian institutionsMcGill University
FundersAgencia Estatal de InvestigaciónBanco Bilbao Vizcaya ArgentariaMinisterio de Economía y CompetitividadFundación BBVA
KeywordsBroadcasting (networking)MathematicsComputer scienceComputer network

Abstract

fetched live from OpenAlex

A uniform k-DAG generalizes the uniform random recursive tree by picking k parents uniformly at random from the existing nodes. It starts with k “roots”. Each of the k roots is assigned a bit. These bits are propagated by a noisy channel. The parents’ bits are flipped with probability p, and a majority vote is taken. When all nodes have received their bits, the k-DAG is shown without identifying the roots. The goal is to estimate the majority bit among the roots. We identify the threshold for p as a function of k below which the majority rule among all nodes yields an error c + o(1) with c < 1/2. Above the threshold the majority rule errs with probability 1/2 + o(1).

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)0.019
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: none
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.005
Threshold uncertainty score0.018

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0030.019
Meta-epidemiology (narrow)0.0000.001
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0020.002
Science and technology studies0.0010.002
Scholarly communication0.0010.003
Open science0.0020.002
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0020.001

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 head0.012
GPT teacher head0.259
Teacher spread0.247 · 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

Citations0
Published2025
Admission routes1
Has abstractyes

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