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Record W2340170030

TRANSFORMED PARTIAL LEAST SQUARES FOR MULTIVARIATE DATA

2007· article· en· W2340170030 on OpenAlexaff
Li Zhu, Xin Li

Bibliographic record

VenueStatistica Sinica · 2007
Typearticle
Languageen
FieldMathematics
TopicAdvanced Statistical Methods and Models
Canadian institutionsToronto Metropolitan University
Fundersnot available
KeywordsCovariateMathematicsMultivariate statisticsCollinearityEstimatorNonparametric regressionTransformation (genetics)Curse of dimensionalitySufficient dimension reductionMathematical optimizationStatisticsRegression
DOInot available

Abstract

fetched live from OpenAlex

The research described herein is motivated by a study of the relationship between agricultural meteorology and three major yields of crops in a province of China. To build a regression model for this data set with multivariate response and high-dimensional covariates, three issues are of particular interest: reducing the dimension of the covariates, avoiding the collinearity between the components of the covariates, and capturing the nonlinearity structure. To deal with these problems, we propose a method of nonparametric response transformation to build a single- index type model, and use partial least squares to reduce the dimension of covariates and to overcome the problem of collinearity. Our method is an alternative approach to sliced inverse regression when the underlying model is single-index type. To select the transformations, a new criterion based on maximizing the covariance matrix is recommended. The selected transformations are estimated by splines; here B- splines are used for general cases and I-splines with a penalty function are suggested when the transformations are monotonic. A modified BIC selection principle is proposed to determine the dimensionality of the space of spline transformations. The consistency of the estimators is proved and easily implemented algorithms are provided. Application to the agricultural data set is carried out.

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)0.008
metaresearch head score (Gemma)0.036
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: Methods · Consensus signal: Methods
Teacher disagreement score0.008
Threshold uncertainty score0.043

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0080.036
Meta-epidemiology (narrow)0.0020.001
Meta-epidemiology (broad)0.0020.002
Bibliometrics0.0020.006
Science and technology studies0.0010.002
Scholarly communication0.0010.002
Open science0.0020.002
Research integrity0.0010.004
Insufficient payload (model declined to judge)0.0050.003

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 head0.406
GPT teacher head0.551
Teacher spread0.145 · 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

Citations7
Published2007
Admission routes1
Has abstractyes

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