{"id":"W1988220009","doi":"10.1007/s10898-010-9623-8","title":"Geometric fit of a point set by generalized circles","year":2010,"lang":"en","type":"article","venue":"Journal of Global Optimization","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Royal Military College of Canada; Group for Research in Decision Analysis","funders":"","keywords":"Mathematics; Unit circle; Norm (philosophy); Combinatorics; Scaling; Set (abstract data type); Circumference; Finite set; Point (geometry); Plane (geometry); Discrete mathematics; Geometry; Mathematical analysis","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":[0.001658857,0.001264178,0.001551072,0.001759274,0.0006696408,0.001746119,0.001941119,0.001669478,0.001925376],"category_scores_gemma":[0.01069938,0.0006769029,0.001229704,0.001855592,0.00189573,0.002699665,0.002870868,0.0009852279,0.0006426285],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008795895,"about_ca_system_score_gemma":0.0004944628,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001991137,"about_ca_topic_score_gemma":0.001043642,"domain_scores_codex":[0.9977844,0.0007462885,0.00009520505,0.0005236446,0.0007313415,0.0001191455],"domain_scores_gemma":[0.997803,0.0007298282,0.0003556811,0.0006494657,0.0003694947,0.00009253266],"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":[0.0002559511,0.0000369685,0.002021039,0.0001346155,0.00009454193,0.0002755616,0.0003868061,0.8569947,0.01041006,0.06776806,0.0006816926,0.06094005],"study_design_scores_gemma":[0.00001023388,0.0001064069,0.0003288134,0.00001814596,0.00001316354,0.0001494023,0.00007767492,0.9792605,0.003061799,0.01435273,0.002588965,0.00003216656],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09376814,0.0002297961,0.9030164,0.0001024093,0.00004646441,0.00006389734,0.00004624303,0.0003228227,0.002403855],"genre_scores_gemma":[0.662127,0.0002849314,0.3350593,0.00006196566,0.00004454238,0.0001538954,0.0001544644,0.0001660121,0.001947853],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.001991137,"threshold_uncertainty_score":0.008772969,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006188047130667235,"score_gpt":0.2486122936067941,"score_spread":0.2424242464761268,"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."}}