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Record W2131197449 · doi:10.1142/s0218195905001853

ON MULTI-LEVEL k-RANGES FOR RANGE SEARCH

2005· article· en· W2131197449 on OpenAlexafffund
Sean M. Falconer, Bradford G. Nickerson

Bibliographic record

VenueInternational Journal of Computational Geometry & Applications · 2005
Typearticle
Languageen
FieldComputer Science
TopicData Management and Algorithms
Canadian institutionsUniversity of New BrunswickUniversity of Victoria
FundersNatural Sciences and Engineering Research Council of Canada
KeywordsRange (aeronautics)MathematicsCombinatoricsBinary logarithmTree (set theory)Materials science

Abstract

fetched live from OpenAlex

We investigate an implementation of the multi-level or ℓ-level k-range data structure. The ℓ-level k-range is compared to naive and R*tree search over N randomly generated k-dimensional points. Results indicate that multi-level k-ranges are not competitive due to their (previously unreported) complexity. We show that storage is S(N,k,ℓ) = O(N1+2(k-1)/ℓ) and S(N,k) = Θ(N1+2(k-1)/ log 2N). Our results also indicate that the ℓ-level k-range requires Q(N,k,ℓ) = O((2ℓ)k( log N + A)) time for range search, for A = number of points reported in range.

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)0.003
metaresearch head score (Gemma)0.014
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 score0.007
Threshold uncertainty score0.024

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0030.014
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0020.004
Science and technology studies0.0010.001
Scholarly communication0.0020.008
Open science0.0040.005
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0070.003

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 head0.056
GPT teacher head0.351
Teacher spread0.294 · 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

Citations3
Published2005
Admission routes2
Has abstractyes

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