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Record W2107966077

Efficient Snap Rounding with Integer Arithmetic.

2007· article· en· W2107966077 on OpenAlexaff
Binay Bhattacharya, Jeff Sember

Bibliographic record

VenueCanadian Conference on Computational Geometry · 2007
Typearticle
Languageen
FieldComputer Science
TopicComputational Geometry and Mesh Generation
Canadian institutionsSimon Fraser University
Fundersnot available
KeywordsRoundingCombinatoricsPartition (number theory)LogarithmIntersection (aeronautics)Integer (computer science)MathematicsTime complexityLine segmentDiscrete mathematicsComputer scienceAlgorithmGeometry
DOInot available

Abstract

fetched live from OpenAlex

In this paper we present a slightly modified definition of snap rounding, and provide two ecient algorithms that perform this rounding. The first algorithm takes n line segments as input and generates the set of snapped segments in O(|I| + c is(c)logn + |I m|), where |I| is the complexity of the unrounded arrangement I, is(c) is the number of segments that have an intersection or endpoint in pixel column c, and I m is the multi- set of snapped segment fragments. The second algo- rithm generates the rounded arrangement of segments in O(|I| + c is(c)logn + |I |logn), where |I | is the complexity of the rounded arrangement I. Both use simple integer arithmetic to compute the rounded ar- rangement by sweeping a strip of unit width through the arrangement, are robust, and are practical to im- plement. They improve upon existing algorithms, since existing running times either include a logarithmic fac- tor in |I|, (i.e., |I| logn), or depend upon the number of segments interacting within a particular hot pixel (is(h) and ed(h) (7), or |h| (3)), whereas ours are linear in |I| and depend upon the number of segments interacting in an entire hot column (is(c)), which is a much coarser partition of the plane.

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)0.004
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.012
Threshold uncertainty score0.040

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.004
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0010.001
Science and technology studies0.0010.001
Scholarly communication0.0020.002
Open science0.0010.003
Research integrity0.0010.001
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 head0.023
GPT teacher head0.250
Teacher spread0.228 · 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 designNot applicable
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
Published2007
Admission routes1
Has abstractyes

Explore more

Same venueCanadian Conference on Computational GeometrySame topicComputational Geometry and Mesh GenerationFrench-language works237,207