{"id":"W4387121580","doi":"10.1007/s10898-023-01329-1","title":"Small polygons with large area","year":2023,"lang":"en","type":"article","venue":"Journal of Global Optimization","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Polytechnique Montréal","funders":"","keywords":"Mathematics; Polygon (computer graphics); Combinatorics; Upper and lower bounds; Regular polygon; Unit (ring theory); Rectilinear polygon; Term (time); Geometry; Simple polygon; Mathematical analysis; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002830761,0.00006869755,0.00009832712,0.0001113704,0.00008388502,0.0001061308,0.0002406188,0.00003097852,0.00001033154],"category_scores_gemma":[0.00005134154,0.00005436851,0.00004447816,0.001444193,0.000007889034,0.0004476507,0.00004843044,0.00005569098,0.00001156485],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006472191,"about_ca_system_score_gemma":0.0001551292,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001232163,"about_ca_topic_score_gemma":0.000005575589,"domain_scores_codex":[0.9992369,0.00003508346,0.0002191625,0.00009857222,0.0002734433,0.0001367747],"domain_scores_gemma":[0.9992346,0.00003087268,0.0002110487,0.0001019721,0.0003459182,0.00007565377],"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":[0.00001544872,0.00003504538,0.001003987,0.000002238234,0.00001680794,0.00002541194,0.00003966575,0.9829437,0.00001606323,0.01172224,0.001736453,0.002442917],"study_design_scores_gemma":[0.0006268796,0.0002254929,0.006896271,0.00002427341,0.00001252546,0.0002053757,0.00002420874,0.9889992,0.00006575241,0.001067177,0.00175886,0.00009400921],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01819032,0.00005585726,0.9791628,0.001439961,0.0003317074,0.0000460926,0.000003738284,0.00005088421,0.0007186259],"genre_scores_gemma":[0.6687601,0.00004979907,0.3305172,0.0003307852,0.0001677214,0.000001326374,0.00001511664,0.000005052249,0.0001528516],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6505698,"threshold_uncertainty_score":0.2217083,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01881907238522859,"score_gpt":0.2386714986351199,"score_spread":0.2198524262498913,"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."}}