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Record W34613702 · doi:10.1021/acs.est.1c04111

Rigorous analysis of heuristics for NP-hard problems.

2005· article· en· W34613702 on OpenAlexfundno aff
Uriel Feige

Bibliographic record

VenueSymposium on Discrete Algorithms · 2005
Typearticle
Languageen
FieldComputer Science
TopicComplexity and Algorithms in Graphs
Canadian institutionsnot available
FundersCanada First Research Excellence Fund
KeywordsHeuristicsHeuristicComputer scienceMathematical optimizationContext (archaeology)AlgorithmTheoretical computer scienceMathematicsArtificial intelligence

Abstract

fetched live from OpenAlex

The known NP-hardness results imply that for many combinatorial optimization problems there are no efficient algorithms that find an optimal solution, or even a near optimal solution, on every instance. A heuristic for an NP-hard problem is a polynomial time algorithm that produces optimal or near optimal solutions on some input instances, but may fail on others. The study of heuristics involves both an algorithmic issue (the design of the heuristic algorithm) and a conceptual challenge, namely, how does one evaluate the quality of a heuristic. Current methods for evaluating heuristics include experimental evidence, hand waving arguments, and rigorous analysis of the performance of the heuristic on some wide (in a sense that depends on the context) classes of inputs. This talk is concerned with the latter method. On the conceptual side, several frameworks that have been used in order to model the classes of inputs of interest (including random models, semi-random models, smoothed analysis) will be discussed. On the algorithmic side, several algorithmic techniques and principles of analysis that are often useful in these frameworks will be presented. 1

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)0.007
metaresearch head score (Gemma)0.034
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: Empirical · Consensus signal: none
Teacher disagreement score0.013
Threshold uncertainty score0.042

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0070.034
Meta-epidemiology (narrow)0.0030.001
Meta-epidemiology (broad)0.0020.003
Bibliometrics0.0020.003
Science and technology studies0.0020.003
Scholarly communication0.0050.006
Open science0.0030.003
Research integrity0.0030.006
Insufficient payload (model declined to judge)0.0130.002

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 head0.024
GPT teacher head0.273
Teacher spread0.250 · 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
GenreEmpirical

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 routes1
Has abstractyes

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