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Record W4254779780 · doi:10.1145/1109557.1109599

Rank/select operations on large alphabets

2006· article· en· W4254779780 on OpenAlexaff
Alexander Golynski, J. Ian Munro

Bibliographic record

VenueProceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm - SODA '06 · 2006
Typearticle
Languageen
FieldComputer Science
TopicAlgorithms and Data Compression
Canadian institutionsUniversity of Waterloo
Fundersnot available
KeywordsSearch engine indexingRank (graph theory)GeneralizationString (physics)AlphabetVariety (cybernetics)Representation (politics)Computer scienceCombinatoricsBinary numberBinary search algorithmTheoretical computer scienceMathematicsAlgorithmSearch algorithmArithmeticInformation retrievalArtificial intelligence

Abstract

fetched live from OpenAlex

We consider a generalization of the problem of supporting rank and select queries on binary strings. Given a string of length n from an alphabet of size σ, we give the first representation that supports rank and access operations in O(lg lg σ) time, and select in O(1) time while using the optimal n lg σ + o(n lg σ) bits. The best known previous structure for this problem required O(lg σ) time, for general values of σ. Our results immediately improve the search times of a variety of text indexing methods.

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)0.001
metaresearch head score (Gemma)0.010
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 score0.012
Threshold uncertainty score0.041

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.010
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0020.001
Bibliometrics0.0010.003
Science and technology studies0.0010.001
Scholarly communication0.0030.009
Open science0.0020.003
Research integrity0.0010.002
Insufficient payload (model declined to judge)0.0120.004

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 head0.006
GPT teacher head0.235
Teacher spread0.229 · 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

Citations86
Published2006
Admission routes1
Has abstractyes

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Same venueProceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm - SODA '06Same topicAlgorithms and Data CompressionFrench-language works237,207