{"id":"W2089842370","doi":"10.1002/rsa.10114","title":"Counting the onion","year":2004,"lang":"en","type":"article","venue":"Random Structures and Algorithms","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":32,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Convex hull; Regular polygon; Bounded function; Combinatorics; Mathematics; Upper and lower bounds; Ball (mathematics); Hull; Convex body; Set (abstract data type); Discrete mathematics; Geometry; Computer science; Mathematical analysis; Engineering","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":[0.002844722,0.0008343637,0.001215162,0.001622044,0.001588739,0.002968427,0.002168318,0.001009386,0.005498244],"category_scores_gemma":[0.01887699,0.0006989727,0.0009313688,0.001012905,0.002101307,0.004091709,0.004914804,0.001802076,0.0007169853],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001723095,"about_ca_system_score_gemma":0.001127957,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002251991,"about_ca_topic_score_gemma":0.002184417,"domain_scores_codex":[0.995859,0.0010861,0.0002564833,0.000572941,0.001633059,0.0005925553],"domain_scores_gemma":[0.9828095,0.007053165,0.002080303,0.004955567,0.001983889,0.001117675],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.002958669,0.0003923905,0.06224333,0.0005794854,0.0005898247,0.001394533,0.001767505,0.2113119,0.04699864,0.2712249,0.01856868,0.3819702],"study_design_scores_gemma":[0.00009725819,0.0006862238,0.0124365,0.0001906563,0.0002358449,0.001265505,0.0007535391,0.7636346,0.05162332,0.1426612,0.02631827,0.00009705582],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5753798,0.0005872324,0.3994305,0.00176418,0.0002109923,0.0002613308,0.0003658321,0.0008338693,0.02116631],"genre_scores_gemma":[0.8678417,0.0003267605,0.1164881,0.0003188982,0.0000979948,0.0001961303,0.0008194225,0.0003347325,0.01357624],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005498244,"threshold_uncertainty_score":0.0183934,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008246097426498877,"score_gpt":0.2308830487180563,"score_spread":0.2226369512915574,"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."}}