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Record W4384203127 · doi:10.1002/sta4.598

Distance‐weighted discrimination for functional data

2023· article· en· W4384203127 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.
fundA Canadian funder is recorded on the work.

Bibliographic record

VenueStat · 2023
Typearticle
Languageen
FieldMathematics
TopicAdvanced Statistical Methods and Models
Canadian institutionsUniversity of Waterloo
FundersNatural Sciences and Engineering Research Council of Canada
KeywordsClassifier (UML)Naive Bayes classifierPrincipal component analysisArtificial intelligencePattern recognition (psychology)Computer scienceBayes classifierBayes' theoremFunctional data analysisCovarianceMargin classifierQuadratic classifierBayes error rateFunctional principal component analysisCurse of dimensionalityMachine learningData miningBayesian probabilityMathematicsSupport vector machineStatistics

Abstract

fetched live from OpenAlex

The main contribution of the paper is the development of a new margin‐based classifier called distance‐weighted discrimination (DWD) for functional data classification. The proposed classifier employs functional principal component analysis (FPCA) to reduce the dimensionality of the functional data and is free of the restrictive assumptions imposed by Bayes classifiers in terms of mean and covariance functions. Theoretical results show that the proposed classifier is Bayes risk consistent under mild assumptions. Simulation studies and real data examples demonstrate that the DWD classifier outperforms several conventional classifiers in terms of prediction accuracy. Overall, the paper provides a new approach for functional data classification with good empirical performance.

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)0.001
Version: codex-gemma-dda1882f352aValidation 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 score0.061
Threshold uncertainty score0.234

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
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)0.0000.000

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 head0.451
GPT teacher head0.502
Teacher spread0.051 · 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