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Record W1518152488 · doi:10.1109/icde.2015.7113341

Size-Constrained Weighted Set Cover

2015· article· en· W1518152488 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldComputer Science
TopicData Management and Algorithms
Canadian institutionsUniversity of Waterloo
Fundersnot available
KeywordsCover (algebra)GeneralizationSet cover problemConstraint (computer-aided design)Set (abstract data type)Fraction (chemistry)Approximation algorithmMathematicsComputer scienceAlgorithmMathematical optimizationDiscrete mathematics

Abstract

fetched live from OpenAlex

In this paper, we introduce a natural generalization of Weighted Set Cover and Maximum Coverage, called Size-Constrained Weighted Set Cover. The input is a collection of n elements, a collection of weighted sets over the elements, a size constraint k, and a minimum coverage fraction ŝ; the output is a sub-collection of up to k sets whose union contains at least ŝn elements and whose sum of weights is minimal. We prove the hardness of approximation of this problem, and we present efficient approximation algorithms with provable quality guarantees that are the best possible. In many applications, the elements are data records, and the set collection to choose from is derived from combinations (patterns) of attribute values. We provide optimization techniques for this special case. Finally, we experimentally demonstrate the effectiveness and efficiency of our solutions.

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.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesInsufficient payload (model declined to judge)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: Not applicable
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.397
Threshold uncertainty score0.999

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.001
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.001

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 head0.031
GPT teacher head0.252
Teacher spread0.220 · 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

Quick stats

Citations27
Published2015
Admission routes1
Has abstractyes

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