{"id":"W2913808055","doi":"10.1063/1.5089991","title":"Covering a square with six circles by deterministic global optimization","year":2019,"lang":"en","type":"article","venue":"AIP conference proceedings","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Group for Research in Decision Analysis; HEC Montréal","funders":"","keywords":"Square (algebra); RADIUS; Global optimization; Mathematics; Mathematical optimization; Computer science; Combinatorics; Applied mathematics; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006132062,0.0007282111,0.0008525618,0.0005394596,0.0005606472,0.0008966903,0.0008379235,0.001095748,0.00340753],"category_scores_gemma":[0.003266311,0.0005657141,0.000742591,0.000725278,0.001481856,0.001149982,0.001680413,0.0007494679,0.0003792341],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009272223,"about_ca_system_score_gemma":0.0004167125,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002016504,"about_ca_topic_score_gemma":0.001672757,"domain_scores_codex":[0.9994807,0.0001860661,0.00001686401,0.0001111826,0.00009710994,0.0001080964],"domain_scores_gemma":[0.9988822,0.0006917833,0.0001366441,0.0001485209,0.00007025708,0.0000704905],"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":[0.00007285874,0.00001570463,0.0003410248,0.00007061039,0.00001775496,0.00006534841,0.00005543451,0.9513174,0.001337152,0.03459322,0.001038836,0.01107471],"study_design_scores_gemma":[0.00001612727,0.00004735242,0.000117053,0.00001047238,0.000008256427,0.00003748493,0.00003295338,0.9653485,0.0007662278,0.03235492,0.001252159,0.00000853258],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1718344,0.0007304251,0.8070853,0.0007663138,0.00009049404,0.00007330185,0.0002210546,0.0003098453,0.01888878],"genre_scores_gemma":[0.8432108,0.000405537,0.1495608,0.0001227257,0.0000473474,0.0001324554,0.0002325009,0.0001528416,0.006134848],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00340753,"threshold_uncertainty_score":0.01139933,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0098765742928116,"score_gpt":0.2226567561389646,"score_spread":0.212780181846153,"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."}}