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Record W4313457405 · doi:10.21203/rs.3.rs-2170035/v1

A Randomized Algorithm for Finding Local Maximum Cuts

2023· preprint· en· W4313457405 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

VenueResearch Square · 2023
Typepreprint
Languageen
FieldComputer Science
TopicComplexity and Algorithms in Graphs
Canadian institutionsWilfrid Laurier UniversityUniversity of Waterloo
Fundersnot available
KeywordsAlgorithmComputer scienceRandomized algorithmMathematical optimizationMathematics

Abstract

fetched live from OpenAlex

Abstract This paper describes a new randomized algorithm for calculating local maximum cuts of the maximum cut problems in graph theory. The new algorithm transforms the maximum cut problem into a new form by using fuzzy logic technique. The transformation enables the algorithm to use the first-order derivative method to find optimal values for discrete non-linear optimization problems. This paper proves that the solution of the new algorithm satisfies the ϵ−δ condition. The algorithm converts decimal solution points to integer solution points by using the defuzzification technique. This paper also proves that the defuzzification maintains the local maximum value. The new algorithm is compared with IBM ILOG CPLEX. The numerical experiments indicate that the performance of the new algorithm is better than that of IBM ILOG CPLEX for finding local maximum cuts.

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)0.010
metaresearch head score (Gemma)0.001
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow), Scholarly communication
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Other design · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.891
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0100.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0010.001
Science and technology studies0.0010.001
Scholarly communication0.0010.000
Open science0.0040.007
Research integrity0.0000.002
Insufficient payload (model declined to judge)0.0000.000

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 head0.171
GPT teacher head0.423
Teacher spread0.253 · 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