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Record W3014913653 · doi:10.17713/ajs.v49i2.907

Fast Approximate Complete-data k-nearest-neighbor Estimation

2020· article· en· W3014913653 on OpenAlexafffund
Alejandro Murua, Nicolas Wicker

Bibliographic record

VenueAustrian Journal of Statistics · 2020
Typearticle
Languageen
FieldComputer Science
TopicTopological and Geometric Data Analysis
Canadian institutionsUniversité de Montréal
FundersNatural Sciences and Engineering Research Council of CanadaAgence Nationale de la Recherche
KeywordsNearest neighbor graphk-nearest neighbors algorithmNearest-neighbor chain algorithmBest bin firstNearest neighbor searchIntrinsic dimensionGraphSortingData setSet (abstract data type)Dimension (graph theory)MathematicsFixed-radius near neighborsNearest neighbour algorithmLarge margin nearest neighborManifold (fluid mechanics)AlgorithmComputer scienceCombinatoricsData miningStatisticsArtificial intelligenceCluster analysisCurse of dimensionality

Abstract

fetched live from OpenAlex

We introduce a fast method to estimate the complete-data set of k-nearest-neighbors.This is equivalent to finding an estimate of the k-nearest-neighbor graph of the data. The method relies on random normal projections. The k-nearest-neighbors are estimated by sorting points in a number of random lines. For very large datasets, the method is quasi-linear in the data size. As an application, we show that the intrinsic dimension of a manifold can be reliably estimated from the estimated set of k-nearest-neighbors in time about two orders of magnitude faster than when using the exact set of k-nearest-neighbors.

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)0.002
metaresearch head score (Gemma)0.016
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.006
Threshold uncertainty score0.012

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0020.016
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0030.001
Bibliometrics0.0020.003
Science and technology studies0.0010.001
Scholarly communication0.0020.003
Open science0.0040.003
Research integrity0.0020.002
Insufficient payload (model declined to judge)0.0040.003

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 head0.111
GPT teacher head0.292
Teacher spread0.181 · 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 designSimulation or modeling
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

Citations2
Published2020
Admission routes2
Has abstractyes

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Same venueAustrian Journal of StatisticsSame topicTopological and Geometric Data AnalysisFrench-language works237,207