{"id":"W2755505503","doi":"10.1007/s10589-017-9952-3","title":"A novel approach for ellipsoidal outer-approximation of the intersection region of ellipses in the plane","year":2017,"lang":"en","type":"article","venue":"Computational Optimization and Applications","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ellipse; Mathematics; Intersection (aeronautics); Polygon (computer graphics); Convex polygon; Combinatorics; Orthogonal convex hull; Regular polygon; Polygon covering; Convex set; Convex hull; Bounded function; Star-shaped polygon; Ellipsoid; Plane (geometry); Geometry; Convex body; Mathematical analysis; Convex optimization; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0008372918,0.0007961805,0.0009305621,0.0009797912,0.0005240796,0.001176146,0.001752004,0.001043625,0.00245391],"category_scores_gemma":[0.001863781,0.000420478,0.001019286,0.0007203686,0.0006040245,0.00102157,0.001930738,0.001124073,0.0009956164],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004331797,"about_ca_system_score_gemma":0.0006295003,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001800989,"about_ca_topic_score_gemma":0.001617999,"domain_scores_codex":[0.9995636,0.0001189311,0.0000228035,0.00007123299,0.0001860267,0.00003745829],"domain_scores_gemma":[0.9994048,0.0001866639,0.00005293663,0.0001026407,0.0002067551,0.00004636016],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002497142,0.0001451441,0.001302688,0.0005426807,0.00009097326,0.0003614385,0.0007254893,0.5190902,0.0415368,0.188578,0.008406049,0.2389708],"study_design_scores_gemma":[0.000004269039,0.00001434955,0.00005171381,0.00001037545,0.000006558991,0.00007750127,0.0000193121,0.9903618,0.001521535,0.00512652,0.00279619,0.000009760332],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.002177232,0.00008325065,0.9961481,0.0000220458,0.00001930922,0.00001788408,0.00001604596,0.00008928509,0.001426823],"genre_scores_gemma":[0.1303949,0.0004060009,0.8649085,0.00008635558,0.00008518394,0.0001424609,0.0001737211,0.0002476713,0.003555153],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00245391,"threshold_uncertainty_score":0.008209169,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02176319438038133,"score_gpt":0.2607909742660415,"score_spread":0.2390277798856602,"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."}}