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Record W4390855121

RKHS Weightings of Functions

2023· preprint· en· W4390855121 on OpenAlexafffund
Gabriel Dubé, Mario Marchand

Bibliographic record

VenueHAL (Le Centre pour la Communication Scientifique Directe) · 2023
Typepreprint
Languageen
FieldMathematics
TopicStatistical and numerical algorithms
Canadian institutionsUniversité Laval
FundersNatural Sciences and Engineering Research Council of CanadaConsortium de Recherche et d’innovation en Aérospatiale au Québec
KeywordsComputer scienceMathematics
DOInot available

Abstract

fetched live from OpenAlex

We examine a new general machine learning model for binary classification by consideringthe expected weighted output of a parameterized predictor, where the weighting belongsto an RKHS of functions over the parameters. This weighting can be learned using variousalgorithms. One of them is Stochastic Functional Gradient Descent (SFGD), which itera-tively samples a parameter and some training data, and calculates an approximation of thefunctional gradient of the loss. Using the stability properties of the algorithm, we show thatconvergence is guaranteed, under mild assumptions, with rate O(1/√m) on the number ofexamples needed for learning. Further theoretical analysis, based on the Rademacher com-plexity of the proposed class of predictors, provides a similar bound on the generalizationerror. We also present three alternate learning algorithms, and a procedure for pruning themodel using the Lasso. We prove an error bound for the resulting sparse predictor. Finally,we run experiments using simple instantiations of the model to showcase its usability, andcompare the learning algorithms among one another, and to the state of the art.

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)0.006
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: Theoretical or conceptual
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.009
Threshold uncertainty score0.031

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0060.036
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0020.002
Science and technology studies0.0010.002
Scholarly communication0.0030.005
Open science0.0020.003
Research integrity0.0020.002
Insufficient payload (model declined to judge)0.0090.003

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 head0.042
GPT teacher head0.278
Teacher spread0.236 · 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
Published2023
Admission routes2
Has abstractyes

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