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Efficient Algorithms for Maximum Covariance Analysis of Datasets with Many Variables and Fewer Realizations: A Revisit

2003· article· en· W2102033711 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

VenueJournal of Atmospheric and Oceanic Technology · 2003
Typearticle
Languageen
FieldComputer Science
TopicBlind Source Separation Techniques
Canadian institutionsEnvironment and Climate Change Canada
Fundersnot available
KeywordsSingular value decompositionAlgorithmPrincipal component analysisCovarianceCovariance matrixEigenvalues and eigenvectorsMatrix decompositionComputer scienceEigendecomposition of a matrixQR decompositionDecompositionFactorizationMathematicsStatisticsArtificial intelligence

Abstract

fetched live from OpenAlex

Fast and reliable algorithms for maximum covariance analysis (MCA) are investigated. The traditional algorithm based on the direct singular value decomposition (SVD) of a covariance matrix is computationally expensive for large datasets. An alternate algorithm proposed in this study uses the QR factorization technique to reduce the computational burden of the MCA of datasets with many variables and fewer realizations. It is slightly slower but more reliable, as indicated in an example, than an existing alternate algorithm based on the eigenvalue decomposition of a quadruple matrix product. It is faster than another alternate algorithm that uses the principal component analyses of the datasets as the preliminary step of the MCA.

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)0.001
metaresearch head score (Gemma)0.000
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: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.894
Threshold uncertainty score0.342

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.002
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 head0.009
GPT teacher head0.251
Teacher spread0.242 · 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