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Record W4389674419 · doi:10.1214/23-aap2004

Erratum: Diffusion models and steady-state approximations for exponentially ergodic Markovian queues

2023· erratum· en· W4389674419 on OpenAlexaff
Itai Gurvich

Bibliographic record

VenueThe Annals of Applied Probability · 2023
Typeerratum
Languageen
FieldMathematics
TopicStochastic processes and statistical mechanics
Canadian institutionsKellogg's (Canada)
Fundersnot available
KeywordsMathematicsErgodic theoryDiffusionSteady state (chemistry)Exponential growthQueueState (computer science)Applied mathematicsExponential functionMarkov processStatistical physicsMathematical analysisStatisticsAlgorithmThermodynamicsComputer sciencePhysics

Abstract

fetched live from OpenAlex

This is a correction to (Ann. Appl. Probab. 24 (2014) 2527–2559). The corrected result is that the gap between the steady-state moments of the diffusion and those of the properly centered and scaled CTMCs shrinks at a rate of n12−ϵ for any ϵ>0.

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)0.004
metaresearch head score (Gemma)0.069
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: Not applicable
GenreCandidate signal: Other · Consensus signal: none
Teacher disagreement score0.053
Threshold uncertainty score0.176

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0040.069
Meta-epidemiology (narrow)0.0030.001
Meta-epidemiology (broad)0.0020.002
Bibliometrics0.0040.004
Science and technology studies0.0030.003
Scholarly communication0.0040.006
Open science0.0050.002
Research integrity0.0060.010
Insufficient payload (model declined to judge)0.0530.029

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 head0.157
GPT teacher head0.352
Teacher spread0.195 · 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 designNot applicable
Domainnot available
GenreOther

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
Published2023
Admission routes1
Has abstractyes

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