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Record W4206675874 · doi:10.1002/0470011815.b2a09034

Nonlinear Regression

2005· other· en· W4206675874 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.

Bibliographic record

VenueEncyclopedia of Biostatistics · 2005
Typeother
Languageen
FieldMathematics
TopicAdvanced Statistical Methods and Models
Canadian institutionsUniversity of Waterloo
Fundersnot available
KeywordsNonlinear systemEstimatorNonlinear regressionApplied mathematicsMathematicsLinear modelVariance (accounting)Regression analysisFunction (biology)Mathematical optimizationComputer scienceStatistics

Abstract

fetched live from OpenAlex

Abstract The defining feature of nonlinear regression models is that the expectation function depends on some parameters in a nonlinear way. In such cases, the classical results for linear models, including explicit estimation, normality of estimators, exact tests, and analysis of variance, break down. In nonlinear regression, estimates are usually found by iteration and for the distribution of estimators and test statistics, we have to rely on approximations, which are often based on linear models. Several measures of nonlinearity have been developed to provide information on the adequacy of such approximations and to indicate situations where, by changing the parameters, a nonlinear model behaves more like a linear one. In the article, we provide several examples of nonlinear models used in practice. We also give a brief description of some measures of nonlinearity and outline basic nonlinear optimization techniques used in estimation procedures.

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)0.000
metaresearch head score (Gemma)0.002
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow), Insufficient payload (model declined to judge)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: Not applicable
GenreCandidate signal: Methods · Consensus signal: none
Teacher disagreement score0.145
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.002
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0010.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0040.000

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 head0.046
GPT teacher head0.397
Teacher spread0.352 · 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