{"id":"W4400141371","doi":"10.48550/arxiv.2406.18670","title":"Generalized Cuts and Grothendieck Covers: a Primal-Dual Approximation Framework Extending the Goemans--Williamson Algorithm","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico","keywords":"Dual (grammatical number); Algorithm; Mathematics; Computer science; Combinatorics; Philosophy; Linguistics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001863521,0.0004489882,0.0004638611,0.0002439768,0.0001393724,0.0001338321,0.0003858677,0.000391935,0.00004123402],"category_scores_gemma":[0.00003210778,0.0004020721,0.0002396185,0.000611652,0.0001517362,0.0001789655,0.0007425774,0.00116981,0.0000363682],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003153968,"about_ca_system_score_gemma":0.00002271126,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004654102,"about_ca_topic_score_gemma":0.000005528449,"domain_scores_codex":[0.9984083,0.00008545624,0.000263989,0.0007618514,0.0001259932,0.0003544099],"domain_scores_gemma":[0.998943,0.0001414773,0.0001182017,0.0006296394,0.00005352921,0.0001141151],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00005331203,0.00008675289,0.0002646923,0.0009185032,0.00133809,0.0004053216,0.001057945,0.8208156,0.0006877079,0.1411178,0.001246436,0.0320078],"study_design_scores_gemma":[0.0001351701,0.00002077792,0.00005309581,0.0002628739,0.0003296753,0.000007099861,0.00009070119,0.7611974,0.0006562715,0.2347062,0.002074003,0.000466775],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07261249,0.001160703,0.9229275,0.000068303,0.0002960755,0.0005823085,0.00005241967,0.001259377,0.001040849],"genre_scores_gemma":[0.951799,0.003752876,0.04327943,0.00006532299,0.0002371498,0.00001682802,0.00005439728,0.0001076319,0.0006873353],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.879648,"threshold_uncertainty_score":0.9998431,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03227605312090021,"score_gpt":0.2010418367513054,"score_spread":0.1687657836304052,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}