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Record W3140762921 · doi:10.1002/cjs.11596

Optimal design under complete class with ancillary functions

2021· article· en· W3140762921 on OpenAlexvenueno aff
Yi Hua, Min Yang

Bibliographic record

VenueCanadian Journal of Statistics · 2021
Typearticle
Languageen
FieldDecision Sciences
TopicOptimal Experimental Design Methods
Canadian institutionsnot available
FundersNational Science Foundation of Sri Lanka
KeywordsClass (philosophy)Extension (predicate logic)Nonlinear systemComputer scienceMathematical optimizationLogitPoisson distributionMathematicsAlgorithmMachine learningArtificial intelligenceStatistics

Abstract

fetched live from OpenAlex

Abstract Nonlinear models are challenging in optimal designs due to their complexity and lack of canonical forms. The complete class strategy provides a unified framework for studying optimal designs for nonlinear models. However, the current strategy does not apply to many models under this framework. In this article, we propose a tool called ancillary functions as an extension to the complete class strategy. We also provide results on minimally supported designs with proper conditions. We demonstrate this tool with two‐parameter dose–response models, which include the Beta‐Poisson model, the complementary log–log model, and the skewed logit model. The results of this article add to the previous complete class framework and make the minimally supported design available for more nonlinear models that were previously not feasible.

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)0.024
metaresearch head score (Gemma)0.043
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: Methods · Consensus signal: Methods
Teacher disagreement score0.024
Threshold uncertainty score0.129

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0240.043
Meta-epidemiology (narrow)0.0020.001
Meta-epidemiology (broad)0.0030.001
Bibliometrics0.0010.001
Science and technology studies0.0010.002
Scholarly communication0.0020.003
Open science0.0020.003
Research integrity0.0020.002
Insufficient payload (model declined to judge)0.0070.001

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 head0.235
GPT teacher head0.373
Teacher spread0.139 · 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
GenreMethods

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
Published2021
Admission routes1
Has abstractyes

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Same venueCanadian Journal of StatisticsSame topicOptimal Experimental Design MethodsFrench-language works237,207